0.680 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.267 * * * [progress]: [2/2] Setting up program. 0.278 * [progress]: [Phase 2 of 3] Improving. 0.282 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.283 * * [simplify]: iteration 0: 12 enodes 0.292 * * [simplify]: iteration 1: 17 enodes 0.298 * * [simplify]: iteration 2: 24 enodes 0.306 * * [simplify]: iteration 3: 30 enodes 0.315 * * [simplify]: iteration 4: 35 enodes 0.650 * * [simplify]: iteration complete: 35 enodes 0.650 * * [simplify]: Extracting #0: cost 1 inf + 0 0.650 * * [simplify]: Extracting #1: cost 3 inf + 0 0.651 * * [simplify]: Extracting #2: cost 3 inf + 1 0.651 * * [simplify]: Extracting #3: cost 8 inf + 1 0.651 * * [simplify]: Extracting #4: cost 11 inf + 2 0.651 * * [simplify]: Extracting #5: cost 7 inf + 209 0.651 * * [simplify]: Extracting #6: cost 9 inf + 209 0.651 * * [simplify]: Extracting #7: cost 9 inf + 250 0.652 * * [simplify]: Extracting #8: cost 7 inf + 292 0.652 * * [simplify]: Extracting #9: cost 5 inf + 576 0.652 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.653 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.653 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.657 * * [progress]: iteration 1 / 4 0.657 * * * [progress]: picking best candidate 0.667 * * * * [pick]: Picked # 0.667 * * * [progress]: localizing error 0.709 * * * [progress]: generating rewritten candidates 0.709 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.718 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.777 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.806 * * * [progress]: generating series expansions 0.806 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.817 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.817 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.818 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.818 * [taylor]: Taking taylor expansion of re in im 0.819 * [backup-simplify]: Simplify re into re 0.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.820 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.820 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.820 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.821 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.821 * [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 0.822 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.822 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.822 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.823 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.823 * [backup-simplify]: Simplify im into im 0.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.823 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.823 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.823 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.824 * [taylor]: Taking taylor expansion of im in im 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [taylor]: Taking taylor expansion of 0 in im 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (+ 0 1) into 1 0.827 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.827 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.827 * [taylor]: Taking taylor expansion of 1/2 in im 0.827 * [backup-simplify]: Simplify 1/2 into 1/2 0.827 * [taylor]: Taking taylor expansion of im in im 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.833 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.833 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.833 * [taylor]: Taking taylor expansion of re in im 0.833 * [backup-simplify]: Simplify re into re 0.833 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.833 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (/ 1 1) into 1 0.834 * [backup-simplify]: Simplify (+ 0 1) into 1 0.835 * [backup-simplify]: Simplify (sqrt 1) into 1 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.837 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.837 * [taylor]: Taking taylor expansion of re in re 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (* 1 1) into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.838 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.838 * [taylor]: Taking taylor expansion of im in re 0.838 * [backup-simplify]: Simplify im into im 0.838 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.839 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.839 * [backup-simplify]: Simplify (+ 1 0) into 1 0.839 * [backup-simplify]: Simplify (sqrt 1) into 1 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.842 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.842 * [backup-simplify]: Simplify im into im 0.843 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.843 * [backup-simplify]: Simplify (+ 1 0) into 1 0.843 * [backup-simplify]: Simplify (sqrt 1) into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.846 * [taylor]: Taking taylor expansion of 1 in im 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of 0 in im 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.849 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.850 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.850 * [taylor]: Taking taylor expansion of 1/2 in im 0.850 * [backup-simplify]: Simplify 1/2 into 1/2 0.850 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.850 * [taylor]: Taking taylor expansion of im in im 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.855 * [taylor]: Taking taylor expansion of 0 in im 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.858 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.858 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.858 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.858 * [taylor]: Taking taylor expansion of re in im 0.858 * [backup-simplify]: Simplify re into re 0.858 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.858 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.858 * [taylor]: Taking taylor expansion of im in im 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (* 1 1) into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [backup-simplify]: Simplify (+ 0 1) into 1 0.860 * [backup-simplify]: Simplify (sqrt 1) into 1 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.862 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.863 * [taylor]: Taking taylor expansion of im in re 0.863 * [backup-simplify]: Simplify im into im 0.863 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.863 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.864 * [backup-simplify]: Simplify (+ 1 0) into 1 0.864 * [backup-simplify]: Simplify (sqrt 1) into 1 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.867 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [backup-simplify]: Simplify im into im 0.867 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.868 * [backup-simplify]: Simplify (+ 1 0) into 1 0.868 * [backup-simplify]: Simplify (sqrt 1) into 1 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.870 * [taylor]: Taking taylor expansion of 1 in im 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [taylor]: Taking taylor expansion of 0 in im 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.874 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.874 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.874 * [taylor]: Taking taylor expansion of 1/2 in im 0.874 * [backup-simplify]: Simplify 1/2 into 1/2 0.874 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.874 * [taylor]: Taking taylor expansion of im in im 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (* 1 1) into 1 0.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.880 * [taylor]: Taking taylor expansion of 0 in im 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.882 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.882 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.882 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.882 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.882 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 0.882 * [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) 0.883 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.883 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.883 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.883 * [taylor]: Taking taylor expansion of re in im 0.884 * [backup-simplify]: Simplify re into re 0.884 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.884 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.884 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [backup-simplify]: Simplify im into im 0.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.884 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.884 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.884 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.885 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.885 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [backup-simplify]: Simplify im into im 0.885 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.885 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.885 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.885 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.886 * [taylor]: Taking taylor expansion of re in re 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify (+ im 0) into im 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (- 1) into -1 0.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.887 * [taylor]: Taking taylor expansion of -1 in im 0.887 * [backup-simplify]: Simplify -1 into -1 0.887 * [backup-simplify]: Simplify -1 into -1 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.888 * [backup-simplify]: Simplify (* 1 1) into 1 0.889 * [backup-simplify]: Simplify (+ 0 1) into 1 0.889 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.890 * [taylor]: Taking taylor expansion of 1/2 in im 0.890 * [backup-simplify]: Simplify 1/2 into 1/2 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.895 * [taylor]: Taking taylor expansion of 0 in im 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.898 * [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)) 0.898 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.898 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.898 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.898 * [taylor]: Taking taylor expansion of re in im 0.898 * [backup-simplify]: Simplify re into re 0.898 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.898 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (* 1 1) into 1 0.899 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (+ 0 1) into 1 0.900 * [backup-simplify]: Simplify (sqrt 1) into 1 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.902 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.902 * [taylor]: Taking taylor expansion of re in im 0.902 * [backup-simplify]: Simplify re into re 0.902 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.902 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.902 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.902 * [taylor]: Taking taylor expansion of re in re 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* 1 1) into 1 0.903 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.903 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.903 * [backup-simplify]: Simplify im into im 0.903 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.904 * [backup-simplify]: Simplify (+ 1 0) into 1 0.904 * [backup-simplify]: Simplify (sqrt 1) into 1 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.907 * [taylor]: Taking taylor expansion of re in re 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 0.907 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.907 * [taylor]: Taking taylor expansion of re in re 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 (/ 1 1) into 1 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.908 * [taylor]: Taking taylor expansion of im in re 0.908 * [backup-simplify]: Simplify im into im 0.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.908 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.909 * [backup-simplify]: Simplify (+ 1 0) into 1 0.909 * [backup-simplify]: Simplify (sqrt 1) into 1 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.911 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.911 * [taylor]: Taking taylor expansion of re in re 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [backup-simplify]: Simplify (- 1) into -1 0.912 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.913 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (- 0) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [taylor]: Taking taylor expansion of 0 in im 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.917 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.919 * [taylor]: Taking taylor expansion of 1/2 in im 0.919 * [backup-simplify]: Simplify 1/2 into 1/2 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.919 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.919 * [taylor]: Taking taylor expansion of im in im 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [taylor]: Taking taylor expansion of 0 in im 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [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))))) 0.930 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [backup-simplify]: Simplify re into re 0.930 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.930 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [backup-simplify]: Simplify re into re 0.930 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.930 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [backup-simplify]: Simplify (+ 0 1) into 1 0.932 * [backup-simplify]: Simplify (sqrt 1) into 1 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.942 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (* 1 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.943 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.943 * [taylor]: Taking taylor expansion of im in re 0.943 * [backup-simplify]: Simplify im into im 0.943 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.943 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.944 * [backup-simplify]: Simplify (+ 1 0) into 1 0.944 * [backup-simplify]: Simplify (sqrt 1) into 1 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.946 * [taylor]: Taking taylor expansion of re in re 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (/ 1 1) into 1 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.947 * [taylor]: Taking taylor expansion of re in re 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (* 1 1) into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.948 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.948 * [taylor]: Taking taylor expansion of im in re 0.948 * [backup-simplify]: Simplify im into im 0.948 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.948 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.949 * [backup-simplify]: Simplify (+ 1 0) into 1 0.949 * [backup-simplify]: Simplify (sqrt 1) into 1 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.952 * [backup-simplify]: Simplify (+ 1 1) into 2 0.952 * [taylor]: Taking taylor expansion of 2 in im 0.952 * [backup-simplify]: Simplify 2 into 2 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [taylor]: Taking taylor expansion of 0 in im 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 2 into 2 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.957 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.958 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.958 * [taylor]: Taking taylor expansion of 1/2 in im 0.958 * [backup-simplify]: Simplify 1/2 into 1/2 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.958 * [taylor]: Taking taylor expansion of im in im 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in im 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.969 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.969 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.969 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.969 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.969 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.969 * [taylor]: Taking taylor expansion of im in im 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.969 * [taylor]: Taking taylor expansion of re in im 0.969 * [backup-simplify]: Simplify re into re 0.969 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.969 * [taylor]: Taking taylor expansion of im in re 0.969 * [backup-simplify]: Simplify im into im 0.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.969 * [taylor]: Taking taylor expansion of re in re 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.969 * [taylor]: Taking taylor expansion of im in re 0.969 * [backup-simplify]: Simplify im into im 0.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.970 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.970 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.970 * [taylor]: Taking taylor expansion of im in im 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [taylor]: Taking taylor expansion of 0 in im 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.972 * [backup-simplify]: Simplify (* 1 1) into 1 0.973 * [backup-simplify]: Simplify (+ 0 1) into 1 0.973 * [taylor]: Taking taylor expansion of 1 in im 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (* 1 1) into 1 0.973 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [taylor]: Taking taylor expansion of 0 in im 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [taylor]: Taking taylor expansion of 0 in im 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.979 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.979 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.979 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.980 * [taylor]: Taking taylor expansion of re in im 0.980 * [backup-simplify]: Simplify re into re 0.980 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.980 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.980 * [taylor]: Taking taylor expansion of im in im 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.981 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.981 * [taylor]: Taking taylor expansion of re in re 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (* 1 1) into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.982 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.982 * [taylor]: Taking taylor expansion of im in re 0.982 * [backup-simplify]: Simplify im into im 0.982 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.982 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.982 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.982 * [taylor]: Taking taylor expansion of re in re 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.983 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.983 * [taylor]: Taking taylor expansion of im in re 0.983 * [backup-simplify]: Simplify im into im 0.983 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.984 * [backup-simplify]: Simplify (+ 1 0) into 1 0.984 * [taylor]: Taking taylor expansion of 1 in im 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [taylor]: Taking taylor expansion of 0 in im 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.987 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.987 * [taylor]: Taking taylor expansion of im in im 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (* 1 1) into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [taylor]: Taking taylor expansion of 0 in im 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [taylor]: Taking taylor expansion of 0 in im 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [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 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.998 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.998 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.998 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.998 * [taylor]: Taking taylor expansion of re in im 0.998 * [backup-simplify]: Simplify re into re 0.998 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.998 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.998 * [taylor]: Taking taylor expansion of im in im 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.999 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.999 * [taylor]: Taking taylor expansion of re in re 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.000 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [backup-simplify]: Simplify im into im 1.000 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.000 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.001 * [taylor]: Taking taylor expansion of re in re 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.001 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.001 * [backup-simplify]: Simplify im into im 1.001 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.002 * [backup-simplify]: Simplify (+ 1 0) into 1 1.002 * [taylor]: Taking taylor expansion of 1 in im 1.002 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [taylor]: Taking taylor expansion of 0 in im 1.004 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.006 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.006 * [taylor]: Taking taylor expansion of im in im 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (* 1 1) into 1 1.006 * [backup-simplify]: Simplify (/ 1 1) into 1 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [taylor]: Taking taylor expansion of 0 in im 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [taylor]: Taking taylor expansion of 0 in im 1.014 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 1.016 * * * [progress]: simplifying candidates 1.018 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 1.019 * * [simplify]: iteration 0: 74 enodes 1.046 * * [simplify]: iteration 1: 174 enodes 1.134 * * [simplify]: iteration 2: 493 enodes 1.505 * * [simplify]: iteration 3: 2011 enodes 2.529 * * [simplify]: iteration complete: 5001 enodes 2.529 * * [simplify]: Extracting #0: cost 44 inf + 0 2.529 * * [simplify]: Extracting #1: cost 263 inf + 5 2.533 * * [simplify]: Extracting #2: cost 1131 inf + 3065 2.547 * * [simplify]: Extracting #3: cost 1171 inf + 66775 2.592 * * [simplify]: Extracting #4: cost 349 inf + 244933 2.691 * * [simplify]: Extracting #5: cost 83 inf + 325702 2.779 * * [simplify]: Extracting #6: cost 16 inf + 337254 2.866 * * [simplify]: Extracting #7: cost 0 inf + 341742 2.929 * [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 (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))) (+ (* re re) (+ (+ (* re re) (* im im)) (* re (sqrt (+ (* re re) (* im im)))))) (- re) (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im))) (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))) (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (* (- re im) (+ re im)) im re (- re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 2.933 * * * [progress]: adding candidates to table 3.231 * * [progress]: iteration 2 / 4 3.231 * * * [progress]: picking best candidate 3.277 * * * * [pick]: Picked # 3.278 * * * [progress]: localizing error 3.306 * * * [progress]: generating rewritten candidates 3.306 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.316 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.400 * * * [progress]: generating series expansions 3.400 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.400 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.400 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.400 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.400 * [taylor]: Taking taylor expansion of im in im 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.400 * [taylor]: Taking taylor expansion of re in im 3.400 * [backup-simplify]: Simplify re into re 3.400 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.400 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.401 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.401 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.401 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.401 * [taylor]: Taking taylor expansion of im in re 3.401 * [backup-simplify]: Simplify im into im 3.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.401 * [taylor]: Taking taylor expansion of re in re 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.401 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.402 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.402 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.402 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.402 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.402 * [taylor]: Taking taylor expansion of im in re 3.402 * [backup-simplify]: Simplify im into im 3.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.402 * [taylor]: Taking taylor expansion of re in re 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.402 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.402 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.402 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.403 * [taylor]: Taking taylor expansion of im in im 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [taylor]: Taking taylor expansion of 0 in im 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.403 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (+ 0 1) into 1 3.404 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.404 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.404 * [taylor]: Taking taylor expansion of 1/2 in im 3.404 * [backup-simplify]: Simplify 1/2 into 1/2 3.404 * [taylor]: Taking taylor expansion of im in im 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.406 * [taylor]: Taking taylor expansion of 0 in im 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.407 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.407 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.407 * [taylor]: Taking taylor expansion of re in im 3.407 * [backup-simplify]: Simplify re into re 3.407 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.408 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.408 * [taylor]: Taking taylor expansion of im in im 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (/ 1 1) into 1 3.408 * [backup-simplify]: Simplify (+ 0 1) into 1 3.409 * [backup-simplify]: Simplify (sqrt 1) into 1 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.410 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.410 * [taylor]: Taking taylor expansion of re in re 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [backup-simplify]: Simplify (* 1 1) into 1 3.411 * [backup-simplify]: Simplify (/ 1 1) into 1 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.411 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.411 * [taylor]: Taking taylor expansion of im in re 3.411 * [backup-simplify]: Simplify im into im 3.411 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.411 * [backup-simplify]: Simplify (+ 1 0) into 1 3.411 * [backup-simplify]: Simplify (sqrt 1) into 1 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.413 * [taylor]: Taking taylor expansion of re in re 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (* 1 1) into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.414 * [taylor]: Taking taylor expansion of im in re 3.414 * [backup-simplify]: Simplify im into im 3.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.414 * [backup-simplify]: Simplify (+ 1 0) into 1 3.414 * [backup-simplify]: Simplify (sqrt 1) into 1 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.416 * [taylor]: Taking taylor expansion of 1 in im 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [taylor]: Taking taylor expansion of 0 in im 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.418 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.418 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.418 * [taylor]: Taking taylor expansion of 1/2 in im 3.418 * [backup-simplify]: Simplify 1/2 into 1/2 3.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.418 * [taylor]: Taking taylor expansion of im in im 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (* 1 1) into 1 3.418 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.423 * [taylor]: Taking taylor expansion of 0 in im 3.423 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.426 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.426 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.426 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.426 * [taylor]: Taking taylor expansion of re in im 3.426 * [backup-simplify]: Simplify re into re 3.426 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.426 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.426 * [taylor]: Taking taylor expansion of im in im 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (* 1 1) into 1 3.427 * [backup-simplify]: Simplify (/ 1 1) into 1 3.427 * [backup-simplify]: Simplify (+ 0 1) into 1 3.428 * [backup-simplify]: Simplify (sqrt 1) into 1 3.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.431 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.431 * [taylor]: Taking taylor expansion of re in re 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify (* 1 1) into 1 3.431 * [backup-simplify]: Simplify (/ 1 1) into 1 3.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.432 * [taylor]: Taking taylor expansion of im in re 3.432 * [backup-simplify]: Simplify im into im 3.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.432 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.432 * [backup-simplify]: Simplify (+ 1 0) into 1 3.433 * [backup-simplify]: Simplify (sqrt 1) into 1 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.435 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.435 * [taylor]: Taking taylor expansion of re in re 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (* 1 1) into 1 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.436 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.436 * [taylor]: Taking taylor expansion of im in re 3.436 * [backup-simplify]: Simplify im into im 3.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.436 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.437 * [backup-simplify]: Simplify (+ 1 0) into 1 3.437 * [backup-simplify]: Simplify (sqrt 1) into 1 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.439 * [taylor]: Taking taylor expansion of 1 in im 3.440 * [backup-simplify]: Simplify 1 into 1 3.440 * [taylor]: Taking taylor expansion of 0 in im 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.443 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.443 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.443 * [taylor]: Taking taylor expansion of 1/2 in im 3.443 * [backup-simplify]: Simplify 1/2 into 1/2 3.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.443 * [taylor]: Taking taylor expansion of im in im 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (* 1 1) into 1 3.444 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.449 * [taylor]: Taking taylor expansion of 0 in im 3.449 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.452 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.452 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.452 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.452 * [taylor]: Taking taylor expansion of im in im 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.452 * [taylor]: Taking taylor expansion of re in im 3.452 * [backup-simplify]: Simplify re into re 3.452 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.453 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.453 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.453 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.454 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.454 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.454 * [taylor]: Taking taylor expansion of im in re 3.454 * [backup-simplify]: Simplify im into im 3.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.454 * [taylor]: Taking taylor expansion of re in re 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.454 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.454 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.454 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.455 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.455 * [taylor]: Taking taylor expansion of im in re 3.455 * [backup-simplify]: Simplify im into im 3.455 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.455 * [taylor]: Taking taylor expansion of re in re 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.455 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.455 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.455 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.456 * [taylor]: Taking taylor expansion of im in im 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [taylor]: Taking taylor expansion of 0 in im 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.457 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.460 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify (+ 0 1) into 1 3.461 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.461 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.461 * [taylor]: Taking taylor expansion of 1/2 in im 3.461 * [backup-simplify]: Simplify 1/2 into 1/2 3.461 * [taylor]: Taking taylor expansion of im in im 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.465 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.465 * [taylor]: Taking taylor expansion of 0 in im 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.466 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.466 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.466 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.467 * [taylor]: Taking taylor expansion of re in im 3.467 * [backup-simplify]: Simplify re into re 3.467 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.467 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.467 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.467 * [taylor]: Taking taylor expansion of im in im 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify (* 1 1) into 1 3.468 * [backup-simplify]: Simplify (/ 1 1) into 1 3.468 * [backup-simplify]: Simplify (+ 0 1) into 1 3.468 * [backup-simplify]: Simplify (sqrt 1) into 1 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ 0 0) into 0 3.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.471 * [taylor]: Taking taylor expansion of re in re 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (* 1 1) into 1 3.472 * [backup-simplify]: Simplify (/ 1 1) into 1 3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.472 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.472 * [taylor]: Taking taylor expansion of im in re 3.472 * [backup-simplify]: Simplify im into im 3.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.472 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.473 * [backup-simplify]: Simplify (+ 1 0) into 1 3.473 * [backup-simplify]: Simplify (sqrt 1) into 1 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ 0 0) into 0 3.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.476 * [taylor]: Taking taylor expansion of re in re 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (* 1 1) into 1 3.476 * [backup-simplify]: Simplify (/ 1 1) into 1 3.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.476 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.476 * [taylor]: Taking taylor expansion of im in re 3.476 * [backup-simplify]: Simplify im into im 3.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.477 * [backup-simplify]: Simplify (+ 1 0) into 1 3.478 * [backup-simplify]: Simplify (sqrt 1) into 1 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ 0 0) into 0 3.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.480 * [taylor]: Taking taylor expansion of 1 in im 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [taylor]: Taking taylor expansion of 0 in im 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.484 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.484 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.484 * [taylor]: Taking taylor expansion of 1/2 in im 3.484 * [backup-simplify]: Simplify 1/2 into 1/2 3.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.484 * [taylor]: Taking taylor expansion of im in im 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.487 * [taylor]: Taking taylor expansion of 0 in im 3.487 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.489 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.489 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.489 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.489 * [taylor]: Taking taylor expansion of re in im 3.489 * [backup-simplify]: Simplify re into re 3.489 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.489 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.489 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.489 * [taylor]: Taking taylor expansion of im in im 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (* 1 1) into 1 3.490 * [backup-simplify]: Simplify (/ 1 1) into 1 3.490 * [backup-simplify]: Simplify (+ 0 1) into 1 3.490 * [backup-simplify]: Simplify (sqrt 1) into 1 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.492 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.492 * [taylor]: Taking taylor expansion of re in re 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.492 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.492 * [taylor]: Taking taylor expansion of im in re 3.492 * [backup-simplify]: Simplify im into im 3.492 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.492 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.493 * [backup-simplify]: Simplify (+ 1 0) into 1 3.493 * [backup-simplify]: Simplify (sqrt 1) into 1 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.494 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.494 * [taylor]: Taking taylor expansion of re in re 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (* 1 1) into 1 3.495 * [backup-simplify]: Simplify (/ 1 1) into 1 3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.495 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.495 * [taylor]: Taking taylor expansion of im in re 3.495 * [backup-simplify]: Simplify im into im 3.495 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.495 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.496 * [backup-simplify]: Simplify (+ 1 0) into 1 3.496 * [backup-simplify]: Simplify (sqrt 1) into 1 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.497 * [taylor]: Taking taylor expansion of 1 in im 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of 0 in im 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.499 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.499 * [taylor]: Taking taylor expansion of 1/2 in im 3.499 * [backup-simplify]: Simplify 1/2 into 1/2 3.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.499 * [taylor]: Taking taylor expansion of im in im 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 1 into 1 3.500 * [backup-simplify]: Simplify (* 1 1) into 1 3.500 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.503 * [backup-simplify]: Simplify (+ 0 0) into 0 3.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.503 * [taylor]: Taking taylor expansion of 0 in im 3.503 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.504 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.505 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 3.505 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 3.505 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.505 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.505 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.505 * [taylor]: Taking taylor expansion of im in im 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.505 * [taylor]: Taking taylor expansion of re in im 3.505 * [backup-simplify]: Simplify re into re 3.505 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.505 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.505 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.505 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.505 * [backup-simplify]: Simplify (+ 0 0) into 0 3.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.506 * [taylor]: Taking taylor expansion of re in im 3.506 * [backup-simplify]: Simplify re into re 3.506 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.506 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.506 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.506 * [taylor]: Taking taylor expansion of im in re 3.506 * [backup-simplify]: Simplify im into im 3.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.506 * [taylor]: Taking taylor expansion of re in re 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.506 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.506 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.506 * [taylor]: Taking taylor expansion of re in re 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.506 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.506 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.506 * [taylor]: Taking taylor expansion of im in re 3.506 * [backup-simplify]: Simplify im into im 3.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.507 * [taylor]: Taking taylor expansion of re in re 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.507 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.507 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.507 * [taylor]: Taking taylor expansion of re in re 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (- 0) into 0 3.508 * [backup-simplify]: Simplify (+ im 0) into im 3.508 * [taylor]: Taking taylor expansion of im in im 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (- 1) into -1 3.508 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.508 * [taylor]: Taking taylor expansion of -1 in im 3.508 * [backup-simplify]: Simplify -1 into -1 3.508 * [backup-simplify]: Simplify -1 into -1 3.508 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.509 * [backup-simplify]: Simplify (* 1 1) into 1 3.509 * [backup-simplify]: Simplify (+ 0 1) into 1 3.509 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.510 * [backup-simplify]: Simplify (- 0) into 0 3.510 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.510 * [taylor]: Taking taylor expansion of 1/2 in im 3.510 * [backup-simplify]: Simplify 1/2 into 1/2 3.510 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.510 * [taylor]: Taking taylor expansion of im in im 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (/ 1 1) into 1 3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.512 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.513 * [backup-simplify]: Simplify (- 0) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [taylor]: Taking taylor expansion of 0 in im 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.514 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.515 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.515 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.515 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.515 * [taylor]: Taking taylor expansion of re in im 3.515 * [backup-simplify]: Simplify re into re 3.515 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.515 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.515 * [taylor]: Taking taylor expansion of im in im 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (* 1 1) into 1 3.516 * [backup-simplify]: Simplify (/ 1 1) into 1 3.516 * [backup-simplify]: Simplify (+ 0 1) into 1 3.516 * [backup-simplify]: Simplify (sqrt 1) into 1 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.519 * [taylor]: Taking taylor expansion of re in im 3.519 * [backup-simplify]: Simplify re into re 3.519 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.519 * [taylor]: Taking taylor expansion of re in re 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (* 1 1) into 1 3.520 * [backup-simplify]: Simplify (/ 1 1) into 1 3.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.520 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.520 * [taylor]: Taking taylor expansion of im in re 3.520 * [backup-simplify]: Simplify im into im 3.520 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.521 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.521 * [backup-simplify]: Simplify (+ 1 0) into 1 3.521 * [backup-simplify]: Simplify (sqrt 1) into 1 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.524 * [taylor]: Taking taylor expansion of re in re 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (/ 1 1) into 1 3.524 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.525 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.525 * [taylor]: Taking taylor expansion of re in re 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (* 1 1) into 1 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.525 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.525 * [taylor]: Taking taylor expansion of im in re 3.525 * [backup-simplify]: Simplify im into im 3.526 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.526 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.526 * [backup-simplify]: Simplify (+ 1 0) into 1 3.527 * [backup-simplify]: Simplify (sqrt 1) into 1 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.529 * [taylor]: Taking taylor expansion of re in re 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 1 into 1 3.530 * [backup-simplify]: Simplify (/ 1 1) into 1 3.530 * [backup-simplify]: Simplify (- 1) into -1 3.531 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.531 * [taylor]: Taking taylor expansion of 0 in im 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (- 0) into 0 3.532 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [taylor]: Taking taylor expansion of 0 in im 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.535 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (- 0) into 0 3.536 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.536 * [taylor]: Taking taylor expansion of 1/2 in im 3.536 * [backup-simplify]: Simplify 1/2 into 1/2 3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.536 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.536 * [taylor]: Taking taylor expansion of im in im 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [backup-simplify]: Simplify (* 1 1) into 1 3.537 * [backup-simplify]: Simplify (/ 1 1) into 1 3.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.540 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [taylor]: Taking taylor expansion of 0 in im 3.541 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.544 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.544 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.544 * [taylor]: Taking taylor expansion of re in im 3.544 * [backup-simplify]: Simplify re into re 3.544 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.544 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.544 * [taylor]: Taking taylor expansion of re in im 3.544 * [backup-simplify]: Simplify re into re 3.544 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.544 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.544 * [taylor]: Taking taylor expansion of im in im 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (* 1 1) into 1 3.544 * [backup-simplify]: Simplify (/ 1 1) into 1 3.545 * [backup-simplify]: Simplify (+ 0 1) into 1 3.545 * [backup-simplify]: Simplify (sqrt 1) into 1 3.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.546 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.546 * [taylor]: Taking taylor expansion of re in re 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.547 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.547 * [taylor]: Taking taylor expansion of re in re 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (* 1 1) into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.547 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.547 * [taylor]: Taking taylor expansion of im in re 3.547 * [backup-simplify]: Simplify im into im 3.547 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.548 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.548 * [backup-simplify]: Simplify (+ 1 0) into 1 3.548 * [backup-simplify]: Simplify (sqrt 1) into 1 3.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (+ 0 0) into 0 3.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.550 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.550 * [taylor]: Taking taylor expansion of re in re 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (/ 1 1) into 1 3.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.550 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.550 * [taylor]: Taking taylor expansion of re in re 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (* 1 1) into 1 3.550 * [backup-simplify]: Simplify (/ 1 1) into 1 3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.550 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.550 * [taylor]: Taking taylor expansion of im in re 3.550 * [backup-simplify]: Simplify im into im 3.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.551 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.551 * [backup-simplify]: Simplify (+ 1 0) into 1 3.551 * [backup-simplify]: Simplify (sqrt 1) into 1 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.553 * [backup-simplify]: Simplify (+ 1 1) into 2 3.553 * [taylor]: Taking taylor expansion of 2 in im 3.553 * [backup-simplify]: Simplify 2 into 2 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ 0 0) into 0 3.554 * [taylor]: Taking taylor expansion of 0 in im 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 2 into 2 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.556 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.556 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.556 * [taylor]: Taking taylor expansion of 1/2 in im 3.556 * [backup-simplify]: Simplify 1/2 into 1/2 3.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.556 * [taylor]: Taking taylor expansion of im in im 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (* 1 1) into 1 3.557 * [backup-simplify]: Simplify (/ 1 1) into 1 3.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.561 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [taylor]: Taking taylor expansion of 0 in im 3.561 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.563 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 3.563 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 3.563 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.563 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.563 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.563 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.563 * [taylor]: Taking taylor expansion of im in im 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.563 * [taylor]: Taking taylor expansion of re in im 3.563 * [backup-simplify]: Simplify re into re 3.564 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.564 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.564 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.564 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.564 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.564 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.564 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.564 * [taylor]: Taking taylor expansion of im in re 3.564 * [backup-simplify]: Simplify im into im 3.564 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.564 * [taylor]: Taking taylor expansion of re in re 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.564 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.565 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.565 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.565 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.565 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.565 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.565 * [taylor]: Taking taylor expansion of im in re 3.565 * [backup-simplify]: Simplify im into im 3.565 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.565 * [taylor]: Taking taylor expansion of re in re 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 1 into 1 3.565 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.565 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.565 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.567 * [backup-simplify]: Simplify (+ 0 0) into 0 3.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.567 * [taylor]: Taking taylor expansion of im in im 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [taylor]: Taking taylor expansion of 0 in im 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.568 * [backup-simplify]: Simplify (* 1 1) into 1 3.568 * [backup-simplify]: Simplify (+ 0 1) into 1 3.568 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.569 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.569 * [taylor]: Taking taylor expansion of 1/2 in im 3.569 * [backup-simplify]: Simplify 1/2 into 1/2 3.569 * [taylor]: Taking taylor expansion of im in im 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.571 * [taylor]: Taking taylor expansion of 0 in im 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.572 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.572 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.572 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.572 * [taylor]: Taking taylor expansion of re in im 3.572 * [backup-simplify]: Simplify re into re 3.572 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.572 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.572 * [taylor]: Taking taylor expansion of im in im 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (* 1 1) into 1 3.573 * [backup-simplify]: Simplify (/ 1 1) into 1 3.573 * [backup-simplify]: Simplify (+ 0 1) into 1 3.573 * [backup-simplify]: Simplify (sqrt 1) into 1 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.575 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.575 * [taylor]: Taking taylor expansion of re in re 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* 1 1) into 1 3.575 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.575 * [taylor]: Taking taylor expansion of im in re 3.575 * [backup-simplify]: Simplify im into im 3.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.576 * [backup-simplify]: Simplify (+ 1 0) into 1 3.576 * [backup-simplify]: Simplify (sqrt 1) into 1 3.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify (+ 0 0) into 0 3.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.578 * [taylor]: Taking taylor expansion of re in re 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (* 1 1) into 1 3.578 * [backup-simplify]: Simplify (/ 1 1) into 1 3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.578 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.578 * [taylor]: Taking taylor expansion of im in re 3.578 * [backup-simplify]: Simplify im into im 3.578 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.578 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.579 * [backup-simplify]: Simplify (+ 1 0) into 1 3.579 * [backup-simplify]: Simplify (sqrt 1) into 1 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.580 * [taylor]: Taking taylor expansion of 1 in im 3.580 * [backup-simplify]: Simplify 1 into 1 3.581 * [taylor]: Taking taylor expansion of 0 in im 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.583 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.583 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.583 * [taylor]: Taking taylor expansion of 1/2 in im 3.583 * [backup-simplify]: Simplify 1/2 into 1/2 3.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.583 * [taylor]: Taking taylor expansion of im in im 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (* 1 1) into 1 3.583 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.586 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.586 * [taylor]: Taking taylor expansion of 0 in im 3.586 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.588 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.588 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.588 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.588 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.588 * [taylor]: Taking taylor expansion of re in im 3.588 * [backup-simplify]: Simplify re into re 3.588 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.588 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.588 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.588 * [taylor]: Taking taylor expansion of im in im 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.589 * [backup-simplify]: Simplify (* 1 1) into 1 3.589 * [backup-simplify]: Simplify (/ 1 1) into 1 3.589 * [backup-simplify]: Simplify (+ 0 1) into 1 3.590 * [backup-simplify]: Simplify (sqrt 1) into 1 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.591 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.591 * [taylor]: Taking taylor expansion of re in re 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify (* 1 1) into 1 3.592 * [backup-simplify]: Simplify (/ 1 1) into 1 3.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.592 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.592 * [taylor]: Taking taylor expansion of im in re 3.592 * [backup-simplify]: Simplify im into im 3.592 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.592 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.592 * [backup-simplify]: Simplify (+ 1 0) into 1 3.592 * [backup-simplify]: Simplify (sqrt 1) into 1 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.594 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.594 * [taylor]: Taking taylor expansion of re in re 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (* 1 1) into 1 3.594 * [backup-simplify]: Simplify (/ 1 1) into 1 3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.594 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.594 * [taylor]: Taking taylor expansion of im in re 3.594 * [backup-simplify]: Simplify im into im 3.594 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.595 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.595 * [backup-simplify]: Simplify (+ 1 0) into 1 3.595 * [backup-simplify]: Simplify (sqrt 1) into 1 3.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.598 * [taylor]: Taking taylor expansion of 1 in im 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of 0 in im 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.601 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.601 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.601 * [taylor]: Taking taylor expansion of 1/2 in im 3.601 * [backup-simplify]: Simplify 1/2 into 1/2 3.601 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.601 * [taylor]: Taking taylor expansion of im in im 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (* 1 1) into 1 3.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.607 * [taylor]: Taking taylor expansion of 0 in im 3.607 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.610 * * * [progress]: simplifying candidates 3.613 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- re) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 1 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 3.619 * * [simplify]: iteration 0: 138 enodes 3.662 * * [simplify]: iteration 1: 286 enodes 3.757 * * [simplify]: iteration 2: 642 enodes 4.031 * * [simplify]: iteration 3: 1493 enodes 4.780 * * [simplify]: iteration complete: 5007 enodes 4.780 * * [simplify]: Extracting #0: cost 48 inf + 0 4.781 * * [simplify]: Extracting #1: cost 317 inf + 130 4.786 * * [simplify]: Extracting #2: cost 925 inf + 2831 4.809 * * [simplify]: Extracting #3: cost 1320 inf + 40752 4.869 * * [simplify]: Extracting #4: cost 750 inf + 220117 4.964 * * [simplify]: Extracting #5: cost 193 inf + 405514 5.077 * * [simplify]: Extracting #6: cost 17 inf + 473260 5.224 * * [simplify]: Extracting #7: cost 3 inf + 476126 5.401 * * [simplify]: Extracting #8: cost 0 inf + 477005 5.559 * [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 (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* 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 (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ 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im))) (+ (* re re) (* im im)) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 2 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* 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))) (+ (* re re) (* im im)) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (* (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))))) (* (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 2 1/2 1 1/2 (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) (- im re) 0 (* re -2) im re (- re) 5.585 * * * [progress]: adding candidates to table 6.190 * * [progress]: iteration 3 / 4 6.190 * * * [progress]: picking best candidate 6.227 * * * * [pick]: Picked # 6.227 * * * [progress]: localizing error 6.295 * * * [progress]: generating rewritten candidates 6.295 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 6.303 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 6.311 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 6.324 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.429 * * * [progress]: generating series expansions 6.430 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 6.430 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 6.430 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 6.430 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 6.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 6.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 6.430 * [taylor]: Taking taylor expansion of 1/3 in im 6.430 * [backup-simplify]: Simplify 1/3 into 1/3 6.430 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 6.430 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.430 * [taylor]: Taking taylor expansion of im in im 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.430 * [taylor]: Taking taylor expansion of re in im 6.430 * [backup-simplify]: Simplify re into re 6.430 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.431 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.431 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 6.431 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 6.431 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 6.432 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 6.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 6.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 6.432 * [taylor]: Taking taylor expansion of 1/3 in re 6.432 * [backup-simplify]: Simplify 1/3 into 1/3 6.432 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 6.432 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.432 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.432 * [taylor]: Taking taylor expansion of im in re 6.432 * [backup-simplify]: Simplify im into im 6.432 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.432 * [taylor]: Taking taylor expansion of re in re 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.432 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.432 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.432 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 6.433 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 6.433 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 6.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 6.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 6.433 * [taylor]: Taking taylor expansion of 1/3 in re 6.433 * [backup-simplify]: Simplify 1/3 into 1/3 6.433 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 6.433 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.433 * [taylor]: Taking taylor expansion of im in re 6.433 * [backup-simplify]: Simplify im into im 6.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.433 * [taylor]: Taking taylor expansion of re in re 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.433 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.433 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.433 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 6.434 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 6.434 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 6.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 6.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 6.434 * [taylor]: Taking taylor expansion of 1/3 in im 6.434 * [backup-simplify]: Simplify 1/3 into 1/3 6.434 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 6.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.434 * [taylor]: Taking taylor expansion of im in im 6.434 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify 1 into 1 6.435 * [backup-simplify]: Simplify (* 1 1) into 1 6.435 * [backup-simplify]: Simplify (log 1) into 0 6.436 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.436 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 6.436 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 6.436 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 6.437 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.437 * [backup-simplify]: Simplify (+ 0 0) into 0 6.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 6.439 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 6.440 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.440 * [taylor]: Taking taylor expansion of 0 in im 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.443 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 6.444 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 6.444 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.446 * [backup-simplify]: Simplify (* 1 1) into 1 6.446 * [backup-simplify]: Simplify (+ 0 1) into 1 6.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 6.449 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 6.450 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 6.450 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 6.450 * [taylor]: Taking taylor expansion of 1/3 in im 6.450 * [backup-simplify]: Simplify 1/3 into 1/3 6.450 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 6.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 6.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 6.450 * [taylor]: Taking taylor expansion of 1/3 in im 6.450 * [backup-simplify]: Simplify 1/3 into 1/3 6.450 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 6.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.450 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.450 * [taylor]: Taking taylor expansion of im in im 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (* 1 1) into 1 6.451 * [backup-simplify]: Simplify (* 1 1) into 1 6.452 * [backup-simplify]: Simplify (/ 1 1) into 1 6.452 * [backup-simplify]: Simplify (log 1) into 0 6.453 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 6.453 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 6.453 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 6.453 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 6.453 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 6.453 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.458 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 6.460 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.460 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.462 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 6.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 6.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.469 * [taylor]: Taking taylor expansion of 0 in im 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.473 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 6.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 6.475 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 6.475 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.482 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 6.485 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.485 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 6.487 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 6.487 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 6.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 6.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 6.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.487 * [taylor]: Taking taylor expansion of 1/3 in im 6.487 * [backup-simplify]: Simplify 1/3 into 1/3 6.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.487 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.487 * [taylor]: Taking taylor expansion of re in im 6.487 * [backup-simplify]: Simplify re into re 6.487 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.487 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.487 * [taylor]: Taking taylor expansion of im in im 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.488 * [backup-simplify]: Simplify (* 1 1) into 1 6.488 * [backup-simplify]: Simplify (/ 1 1) into 1 6.489 * [backup-simplify]: Simplify (+ 0 1) into 1 6.489 * [backup-simplify]: Simplify (log 1) into 0 6.490 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.490 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 6.490 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 6.490 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.490 * [taylor]: Taking taylor expansion of 1/3 in re 6.490 * [backup-simplify]: Simplify 1/3 into 1/3 6.490 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.490 * [taylor]: Taking taylor expansion of re in re 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.491 * [backup-simplify]: Simplify (* 1 1) into 1 6.491 * [backup-simplify]: Simplify (/ 1 1) into 1 6.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.491 * [taylor]: Taking taylor expansion of im in re 6.491 * [backup-simplify]: Simplify im into im 6.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.492 * [backup-simplify]: Simplify (+ 1 0) into 1 6.492 * [backup-simplify]: Simplify (log 1) into 0 6.493 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.493 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.493 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.493 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.493 * [taylor]: Taking taylor expansion of 1/3 in re 6.493 * [backup-simplify]: Simplify 1/3 into 1/3 6.493 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.493 * [taylor]: Taking taylor expansion of re in re 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [backup-simplify]: Simplify (* 1 1) into 1 6.494 * [backup-simplify]: Simplify (/ 1 1) into 1 6.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.494 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.494 * [taylor]: Taking taylor expansion of im in re 6.494 * [backup-simplify]: Simplify im into im 6.494 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.495 * [backup-simplify]: Simplify (+ 1 0) into 1 6.495 * [backup-simplify]: Simplify (log 1) into 0 6.496 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.496 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.496 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.496 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 6.496 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 6.496 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 6.496 * [taylor]: Taking taylor expansion of -2/3 in im 6.496 * [backup-simplify]: Simplify -2/3 into -2/3 6.496 * [taylor]: Taking taylor expansion of (log re) in im 6.496 * [taylor]: Taking taylor expansion of re in im 6.496 * [backup-simplify]: Simplify re into re 6.496 * [backup-simplify]: Simplify (log re) into (log re) 6.496 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 6.496 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.496 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 6.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (+ 0 0) into 0 6.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.500 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 6.502 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.502 * [taylor]: Taking taylor expansion of 0 in im 6.502 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.503 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 6.504 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.506 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.507 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 6.507 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 6.507 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 6.507 * [taylor]: Taking taylor expansion of 1/3 in im 6.507 * [backup-simplify]: Simplify 1/3 into 1/3 6.507 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 6.507 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.508 * [taylor]: Taking taylor expansion of 1/3 in im 6.508 * [backup-simplify]: Simplify 1/3 into 1/3 6.508 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.508 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.508 * [taylor]: Taking taylor expansion of re in im 6.508 * [backup-simplify]: Simplify re into re 6.508 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.508 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.508 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.508 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.508 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.508 * [taylor]: Taking taylor expansion of im in im 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.508 * [backup-simplify]: Simplify (* 1 1) into 1 6.509 * [backup-simplify]: Simplify (/ 1 1) into 1 6.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.512 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.513 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 6.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 6.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 6.516 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.516 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 6.516 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 6.517 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 6.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 6.519 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 6.520 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.522 * [backup-simplify]: Simplify (+ 0 0) into 0 6.524 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.524 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.526 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.526 * [taylor]: Taking taylor expansion of 0 in im 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 6.526 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 6.526 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 6.526 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 6.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 6.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.526 * [taylor]: Taking taylor expansion of 1/3 in im 6.526 * [backup-simplify]: Simplify 1/3 into 1/3 6.526 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.527 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.527 * [taylor]: Taking taylor expansion of re in im 6.527 * [backup-simplify]: Simplify re into re 6.527 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.527 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.527 * [taylor]: Taking taylor expansion of im in im 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.527 * [backup-simplify]: Simplify (* 1 1) into 1 6.527 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [backup-simplify]: Simplify (+ 0 1) into 1 6.528 * [backup-simplify]: Simplify (log 1) into 0 6.528 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.528 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 6.528 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 6.528 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.528 * [taylor]: Taking taylor expansion of 1/3 in re 6.528 * [backup-simplify]: Simplify 1/3 into 1/3 6.528 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.528 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.528 * [taylor]: Taking taylor expansion of re in re 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (* 1 1) into 1 6.529 * [backup-simplify]: Simplify (/ 1 1) into 1 6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.529 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.529 * [taylor]: Taking taylor expansion of im in re 6.529 * [backup-simplify]: Simplify im into im 6.529 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.529 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.529 * [backup-simplify]: Simplify (+ 1 0) into 1 6.530 * [backup-simplify]: Simplify (log 1) into 0 6.530 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.530 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.530 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.530 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.530 * [taylor]: Taking taylor expansion of 1/3 in re 6.530 * [backup-simplify]: Simplify 1/3 into 1/3 6.530 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.530 * [taylor]: Taking taylor expansion of re in re 6.530 * [backup-simplify]: Simplify 0 into 0 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [backup-simplify]: Simplify (* 1 1) into 1 6.531 * [backup-simplify]: Simplify (/ 1 1) into 1 6.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.531 * [taylor]: Taking taylor expansion of im in re 6.531 * [backup-simplify]: Simplify im into im 6.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.531 * [backup-simplify]: Simplify (+ 1 0) into 1 6.532 * [backup-simplify]: Simplify (log 1) into 0 6.532 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.532 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.532 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.532 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 6.533 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 6.533 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 6.533 * [taylor]: Taking taylor expansion of -2/3 in im 6.533 * [backup-simplify]: Simplify -2/3 into -2/3 6.533 * [taylor]: Taking taylor expansion of (log re) in im 6.533 * [taylor]: Taking taylor expansion of re in im 6.533 * [backup-simplify]: Simplify re into re 6.533 * [backup-simplify]: Simplify (log re) into (log re) 6.533 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 6.533 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.533 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ 0 0) into 0 6.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.537 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 6.539 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.539 * [taylor]: Taking taylor expansion of 0 in im 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.540 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 6.541 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.545 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.546 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.546 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 6.547 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 6.547 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 6.547 * [taylor]: Taking taylor expansion of 1/3 in im 6.547 * [backup-simplify]: Simplify 1/3 into 1/3 6.547 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 6.547 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.548 * [taylor]: Taking taylor expansion of 1/3 in im 6.548 * [backup-simplify]: Simplify 1/3 into 1/3 6.548 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.548 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.548 * [taylor]: Taking taylor expansion of re in im 6.548 * [backup-simplify]: Simplify re into re 6.548 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.548 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.548 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.548 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.548 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.548 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.548 * [taylor]: Taking taylor expansion of im in im 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [backup-simplify]: Simplify (* 1 1) into 1 6.549 * [backup-simplify]: Simplify (/ 1 1) into 1 6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 6.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 6.560 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 6.561 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.562 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 6.563 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 6.563 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 6.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 6.572 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 6.574 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.574 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.576 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.581 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.584 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.584 * [taylor]: Taking taylor expansion of 0 in im 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 6.584 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 6.584 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 6.584 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 6.584 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 6.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 6.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 6.585 * [taylor]: Taking taylor expansion of 1/3 in im 6.585 * [backup-simplify]: Simplify 1/3 into 1/3 6.585 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 6.585 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.585 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.585 * [taylor]: Taking taylor expansion of im in im 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify 1 into 1 6.585 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.585 * [taylor]: Taking taylor expansion of re in im 6.585 * [backup-simplify]: Simplify re into re 6.585 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.585 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.585 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 6.585 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 6.586 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 6.586 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 6.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 6.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 6.586 * [taylor]: Taking taylor expansion of 1/3 in re 6.586 * [backup-simplify]: Simplify 1/3 into 1/3 6.586 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 6.586 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.586 * [taylor]: Taking taylor expansion of im in re 6.586 * [backup-simplify]: Simplify im into im 6.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.586 * [taylor]: Taking taylor expansion of re in re 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.586 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.586 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.587 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 6.587 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 6.587 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 6.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 6.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 6.587 * [taylor]: Taking taylor expansion of 1/3 in re 6.587 * [backup-simplify]: Simplify 1/3 into 1/3 6.587 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 6.587 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.587 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.587 * [taylor]: Taking taylor expansion of im in re 6.587 * [backup-simplify]: Simplify im into im 6.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.587 * [taylor]: Taking taylor expansion of re in re 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify 1 into 1 6.587 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.587 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.588 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.588 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 6.588 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 6.588 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 6.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 6.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 6.588 * [taylor]: Taking taylor expansion of 1/3 in im 6.588 * [backup-simplify]: Simplify 1/3 into 1/3 6.588 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 6.588 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.588 * [taylor]: Taking taylor expansion of im in im 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify (* 1 1) into 1 6.589 * [backup-simplify]: Simplify (log 1) into 0 6.590 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.590 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 6.590 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 6.590 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 6.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.590 * [backup-simplify]: Simplify (+ 0 0) into 0 6.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 6.592 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 6.593 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.593 * [taylor]: Taking taylor expansion of 0 in im 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.595 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.596 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 6.597 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.598 * [backup-simplify]: Simplify (* 1 1) into 1 6.598 * [backup-simplify]: Simplify (+ 0 1) into 1 6.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 6.601 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 6.602 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 6.602 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 6.602 * [taylor]: Taking taylor expansion of 1/3 in im 6.602 * [backup-simplify]: Simplify 1/3 into 1/3 6.602 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 6.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 6.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 6.602 * [taylor]: Taking taylor expansion of 1/3 in im 6.602 * [backup-simplify]: Simplify 1/3 into 1/3 6.602 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 6.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.602 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.602 * [taylor]: Taking taylor expansion of im in im 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.603 * [backup-simplify]: Simplify (* 1 1) into 1 6.603 * [backup-simplify]: Simplify (* 1 1) into 1 6.604 * [backup-simplify]: Simplify (/ 1 1) into 1 6.604 * [backup-simplify]: Simplify (log 1) into 0 6.604 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 6.605 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 6.605 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 6.605 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 6.605 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 6.605 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.609 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.610 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 6.612 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.612 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.614 * [backup-simplify]: Simplify (+ 0 0) into 0 6.617 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 6.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.620 * [taylor]: Taking taylor expansion of 0 in im 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.624 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 6.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 6.625 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 6.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.633 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.634 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 6.636 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 6.637 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 6.637 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 6.637 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 6.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 6.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.637 * [taylor]: Taking taylor expansion of 1/3 in im 6.637 * [backup-simplify]: Simplify 1/3 into 1/3 6.637 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.637 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.637 * [taylor]: Taking taylor expansion of re in im 6.637 * [backup-simplify]: Simplify re into re 6.637 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.637 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.637 * [taylor]: Taking taylor expansion of im in im 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 1 into 1 6.638 * [backup-simplify]: Simplify (* 1 1) into 1 6.638 * [backup-simplify]: Simplify (/ 1 1) into 1 6.639 * [backup-simplify]: Simplify (+ 0 1) into 1 6.639 * [backup-simplify]: Simplify (log 1) into 0 6.640 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.640 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 6.640 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 6.640 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.640 * [taylor]: Taking taylor expansion of 1/3 in re 6.640 * [backup-simplify]: Simplify 1/3 into 1/3 6.640 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.640 * [taylor]: Taking taylor expansion of re in re 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify (* 1 1) into 1 6.641 * [backup-simplify]: Simplify (/ 1 1) into 1 6.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.641 * [taylor]: Taking taylor expansion of im in re 6.641 * [backup-simplify]: Simplify im into im 6.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.642 * [backup-simplify]: Simplify (+ 1 0) into 1 6.642 * [backup-simplify]: Simplify (log 1) into 0 6.643 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.643 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.643 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.643 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.643 * [taylor]: Taking taylor expansion of 1/3 in re 6.643 * [backup-simplify]: Simplify 1/3 into 1/3 6.643 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.643 * [taylor]: Taking taylor expansion of re in re 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify 1 into 1 6.643 * [backup-simplify]: Simplify (* 1 1) into 1 6.644 * [backup-simplify]: Simplify (/ 1 1) into 1 6.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.644 * [taylor]: Taking taylor expansion of im in re 6.644 * [backup-simplify]: Simplify im into im 6.644 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.645 * [backup-simplify]: Simplify (+ 1 0) into 1 6.645 * [backup-simplify]: Simplify (log 1) into 0 6.645 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.646 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.646 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.646 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 6.646 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 6.646 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 6.646 * [taylor]: Taking taylor expansion of -2/3 in im 6.646 * [backup-simplify]: Simplify -2/3 into -2/3 6.646 * [taylor]: Taking taylor expansion of (log re) in im 6.646 * [taylor]: Taking taylor expansion of re in im 6.646 * [backup-simplify]: Simplify re into re 6.646 * [backup-simplify]: Simplify (log re) into (log re) 6.646 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 6.646 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.646 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (+ 0 0) into 0 6.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.650 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 6.652 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.652 * [taylor]: Taking taylor expansion of 0 in im 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.653 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 6.654 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.656 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.659 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.659 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 6.660 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 6.660 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 6.660 * [taylor]: Taking taylor expansion of 1/3 in im 6.660 * [backup-simplify]: Simplify 1/3 into 1/3 6.660 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 6.660 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.661 * [taylor]: Taking taylor expansion of 1/3 in im 6.661 * [backup-simplify]: Simplify 1/3 into 1/3 6.661 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.661 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.661 * [taylor]: Taking taylor expansion of re in im 6.661 * [backup-simplify]: Simplify re into re 6.661 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.661 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.661 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.661 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.661 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.662 * [taylor]: Taking taylor expansion of im in im 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify (* 1 1) into 1 6.662 * [backup-simplify]: Simplify (/ 1 1) into 1 6.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.666 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.669 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 6.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 6.672 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 6.674 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 6.676 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 6.676 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 6.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 6.679 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 6.681 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.681 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.684 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.688 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.689 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.691 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.691 * [taylor]: Taking taylor expansion of 0 in im 6.691 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 6.692 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 6.692 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 6.692 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 6.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 6.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.692 * [taylor]: Taking taylor expansion of 1/3 in im 6.692 * [backup-simplify]: Simplify 1/3 into 1/3 6.692 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.692 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.692 * [taylor]: Taking taylor expansion of re in im 6.692 * [backup-simplify]: Simplify re into re 6.692 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.693 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.693 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.693 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.693 * [taylor]: Taking taylor expansion of im in im 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.693 * [backup-simplify]: Simplify (* 1 1) into 1 6.693 * [backup-simplify]: Simplify (/ 1 1) into 1 6.694 * [backup-simplify]: Simplify (+ 0 1) into 1 6.694 * [backup-simplify]: Simplify (log 1) into 0 6.695 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.695 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 6.695 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 6.695 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.695 * [taylor]: Taking taylor expansion of 1/3 in re 6.695 * [backup-simplify]: Simplify 1/3 into 1/3 6.695 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.695 * [taylor]: Taking taylor expansion of re in re 6.695 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify 1 into 1 6.696 * [backup-simplify]: Simplify (* 1 1) into 1 6.696 * [backup-simplify]: Simplify (/ 1 1) into 1 6.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.696 * [taylor]: Taking taylor expansion of im in re 6.696 * [backup-simplify]: Simplify im into im 6.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.697 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.697 * [backup-simplify]: Simplify (+ 1 0) into 1 6.698 * [backup-simplify]: Simplify (log 1) into 0 6.698 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.698 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.698 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.698 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.698 * [taylor]: Taking taylor expansion of 1/3 in re 6.699 * [backup-simplify]: Simplify 1/3 into 1/3 6.699 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.699 * [taylor]: Taking taylor expansion of re in re 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [backup-simplify]: Simplify (* 1 1) into 1 6.700 * [backup-simplify]: Simplify (/ 1 1) into 1 6.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.700 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.700 * [taylor]: Taking taylor expansion of im in re 6.700 * [backup-simplify]: Simplify im into im 6.700 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.700 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.700 * [backup-simplify]: Simplify (+ 1 0) into 1 6.701 * [backup-simplify]: Simplify (log 1) into 0 6.701 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.701 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.701 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.702 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 6.702 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 6.702 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 6.702 * [taylor]: Taking taylor expansion of -2/3 in im 6.702 * [backup-simplify]: Simplify -2/3 into -2/3 6.702 * [taylor]: Taking taylor expansion of (log re) in im 6.702 * [taylor]: Taking taylor expansion of re in im 6.702 * [backup-simplify]: Simplify re into re 6.702 * [backup-simplify]: Simplify (log re) into (log re) 6.702 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 6.702 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.702 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 6.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.704 * [backup-simplify]: Simplify (+ 0 0) into 0 6.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.706 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.707 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 6.707 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.707 * [taylor]: Taking taylor expansion of 0 in im 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.709 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 6.710 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.710 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.713 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.713 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 6.714 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 6.714 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 6.714 * [taylor]: Taking taylor expansion of 1/3 in im 6.714 * [backup-simplify]: Simplify 1/3 into 1/3 6.714 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 6.714 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.714 * [taylor]: Taking taylor expansion of 1/3 in im 6.714 * [backup-simplify]: Simplify 1/3 into 1/3 6.714 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.714 * [taylor]: Taking taylor expansion of re in im 6.714 * [backup-simplify]: Simplify re into re 6.714 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.714 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.714 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.715 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.715 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.715 * [taylor]: Taking taylor expansion of im in im 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (* 1 1) into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.719 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 6.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 6.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 6.726 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.726 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 6.727 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 6.727 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 6.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 6.729 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 6.730 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.730 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.731 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.734 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.735 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.736 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.736 * [taylor]: Taking taylor expansion of 0 in im 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.737 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 6.737 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1) 6.737 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.737 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.737 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.737 * [taylor]: Taking taylor expansion of im in im 6.737 * [backup-simplify]: Simplify 0 into 0 6.737 * [backup-simplify]: Simplify 1 into 1 6.737 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.737 * [taylor]: Taking taylor expansion of re in im 6.737 * [backup-simplify]: Simplify re into re 6.737 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.737 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.737 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.737 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.738 * [backup-simplify]: Simplify (+ 0 0) into 0 6.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.738 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.738 * [taylor]: Taking taylor expansion of im in re 6.738 * [backup-simplify]: Simplify im into im 6.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.738 * [taylor]: Taking taylor expansion of re in re 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.738 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.738 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.738 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.738 * [backup-simplify]: Simplify (+ 0 0) into 0 6.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.738 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.739 * [taylor]: Taking taylor expansion of im in re 6.739 * [backup-simplify]: Simplify im into im 6.739 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.739 * [taylor]: Taking taylor expansion of re in re 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.739 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.739 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.739 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.740 * [taylor]: Taking taylor expansion of im in im 6.740 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify 1 into 1 6.740 * [backup-simplify]: Simplify 0 into 0 6.740 * [taylor]: Taking taylor expansion of 0 in im 6.740 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify 1 into 1 6.740 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.741 * [backup-simplify]: Simplify (* 1 1) into 1 6.741 * [backup-simplify]: Simplify (+ 0 1) into 1 6.742 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.742 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.742 * [taylor]: Taking taylor expansion of 1/2 in im 6.742 * [backup-simplify]: Simplify 1/2 into 1/2 6.742 * [taylor]: Taking taylor expansion of im in im 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.744 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.746 * [backup-simplify]: Simplify (+ 0 0) into 0 6.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.746 * [taylor]: Taking taylor expansion of 0 in im 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.748 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.748 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.748 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.748 * [taylor]: Taking taylor expansion of re in im 6.748 * [backup-simplify]: Simplify re into re 6.748 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.748 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.748 * [taylor]: Taking taylor expansion of im in im 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify 1 into 1 6.749 * [backup-simplify]: Simplify (* 1 1) into 1 6.749 * [backup-simplify]: Simplify (/ 1 1) into 1 6.749 * [backup-simplify]: Simplify (+ 0 1) into 1 6.750 * [backup-simplify]: Simplify (sqrt 1) into 1 6.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.751 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.752 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.752 * [taylor]: Taking taylor expansion of re in re 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (* 1 1) into 1 6.753 * [backup-simplify]: Simplify (/ 1 1) into 1 6.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.753 * [taylor]: Taking taylor expansion of im in re 6.753 * [backup-simplify]: Simplify im into im 6.753 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.754 * [backup-simplify]: Simplify (+ 1 0) into 1 6.754 * [backup-simplify]: Simplify (sqrt 1) into 1 6.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify (+ 0 0) into 0 6.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.757 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.757 * [taylor]: Taking taylor expansion of re in re 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify 1 into 1 6.758 * [backup-simplify]: Simplify (* 1 1) into 1 6.758 * [backup-simplify]: Simplify (/ 1 1) into 1 6.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.758 * [taylor]: Taking taylor expansion of im in re 6.758 * [backup-simplify]: Simplify im into im 6.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.759 * [backup-simplify]: Simplify (+ 1 0) into 1 6.759 * [backup-simplify]: Simplify (sqrt 1) into 1 6.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.761 * [backup-simplify]: Simplify (+ 0 0) into 0 6.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.762 * [taylor]: Taking taylor expansion of 1 in im 6.762 * [backup-simplify]: Simplify 1 into 1 6.762 * [taylor]: Taking taylor expansion of 0 in im 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.765 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.765 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.765 * [taylor]: Taking taylor expansion of 1/2 in im 6.765 * [backup-simplify]: Simplify 1/2 into 1/2 6.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.766 * [taylor]: Taking taylor expansion of im in im 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (* 1 1) into 1 6.766 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.771 * [backup-simplify]: Simplify (+ 0 0) into 0 6.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.772 * [taylor]: Taking taylor expansion of 0 in im 6.772 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.775 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.775 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.775 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.775 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.775 * [taylor]: Taking taylor expansion of re in im 6.775 * [backup-simplify]: Simplify re into re 6.775 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.775 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.776 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.776 * [taylor]: Taking taylor expansion of im in im 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [backup-simplify]: Simplify (* 1 1) into 1 6.776 * [backup-simplify]: Simplify (/ 1 1) into 1 6.777 * [backup-simplify]: Simplify (+ 0 1) into 1 6.777 * [backup-simplify]: Simplify (sqrt 1) into 1 6.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.779 * [backup-simplify]: Simplify (+ 0 0) into 0 6.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.780 * [taylor]: Taking taylor expansion of re in re 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (* 1 1) into 1 6.781 * [backup-simplify]: Simplify (/ 1 1) into 1 6.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.781 * [taylor]: Taking taylor expansion of im in re 6.781 * [backup-simplify]: Simplify im into im 6.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.782 * [backup-simplify]: Simplify (+ 1 0) into 1 6.782 * [backup-simplify]: Simplify (sqrt 1) into 1 6.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.784 * [backup-simplify]: Simplify (+ 0 0) into 0 6.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.785 * [taylor]: Taking taylor expansion of re in re 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.785 * [backup-simplify]: Simplify (* 1 1) into 1 6.785 * [backup-simplify]: Simplify (/ 1 1) into 1 6.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.785 * [taylor]: Taking taylor expansion of im in re 6.786 * [backup-simplify]: Simplify im into im 6.786 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.786 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.786 * [backup-simplify]: Simplify (+ 1 0) into 1 6.787 * [backup-simplify]: Simplify (sqrt 1) into 1 6.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (+ 0 0) into 0 6.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.789 * [taylor]: Taking taylor expansion of 1 in im 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [taylor]: Taking taylor expansion of 0 in im 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.791 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.793 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.793 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.793 * [taylor]: Taking taylor expansion of 1/2 in im 6.793 * [backup-simplify]: Simplify 1/2 into 1/2 6.793 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.793 * [taylor]: Taking taylor expansion of im in im 6.793 * [backup-simplify]: Simplify 0 into 0 6.793 * [backup-simplify]: Simplify 1 into 1 6.793 * [backup-simplify]: Simplify (* 1 1) into 1 6.794 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.798 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.799 * [backup-simplify]: Simplify (+ 0 0) into 0 6.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.799 * [taylor]: Taking taylor expansion of 0 in im 6.799 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify 0 into 0 6.801 * [backup-simplify]: Simplify 0 into 0 6.801 * [backup-simplify]: Simplify 0 into 0 6.801 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.801 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 6.802 * [backup-simplify]: Simplify (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re) into (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) 6.802 * [approximate]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in (re im) around 0 6.803 * [taylor]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in im 6.803 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 6.803 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 6.803 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 6.805 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 6.805 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 6.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 6.806 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 6.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 6.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 6.806 * [taylor]: Taking taylor expansion of 1/3 in im 6.806 * [backup-simplify]: Simplify 1/3 into 1/3 6.806 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 6.806 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.806 * [taylor]: Taking taylor expansion of im in im 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify 1 into 1 6.806 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.806 * [taylor]: Taking taylor expansion of re in im 6.806 * [backup-simplify]: Simplify re into re 6.806 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.806 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.807 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 6.807 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 6.807 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 6.807 * [taylor]: Taking taylor expansion of re in im 6.807 * [backup-simplify]: Simplify re into re 6.807 * [taylor]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in re 6.807 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 6.807 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 6.807 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 6.807 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 6.808 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 6.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 6.808 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 6.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 6.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 6.808 * [taylor]: Taking taylor expansion of 1/3 in re 6.808 * [backup-simplify]: Simplify 1/3 into 1/3 6.808 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 6.809 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.809 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.809 * [taylor]: Taking taylor expansion of im in re 6.809 * [backup-simplify]: Simplify im into im 6.809 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.809 * [taylor]: Taking taylor expansion of re in re 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.809 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.809 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.809 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.809 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 6.809 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 6.809 * [taylor]: Taking taylor expansion of re in re 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.810 * [taylor]: Taking taylor expansion of (- (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) re) in re 6.810 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 6.810 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in re 6.810 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in re 6.810 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 6.810 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 6.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 6.811 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 6.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 6.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 6.811 * [taylor]: Taking taylor expansion of 1/3 in re 6.811 * [backup-simplify]: Simplify 1/3 into 1/3 6.811 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 6.811 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.811 * [taylor]: Taking taylor expansion of im in re 6.811 * [backup-simplify]: Simplify im into im 6.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.811 * [taylor]: Taking taylor expansion of re in re 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 1 into 1 6.811 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.811 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.812 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.812 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 6.812 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 6.812 * [taylor]: Taking taylor expansion of re in re 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 1 into 1 6.812 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 6.813 * [backup-simplify]: Simplify (- 0) into 0 6.814 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 0) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 6.814 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) in im 6.814 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 6.814 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 6.814 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 6.815 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 6.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 6.815 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 6.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 6.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 6.815 * [taylor]: Taking taylor expansion of 1/3 in im 6.815 * [backup-simplify]: Simplify 1/3 into 1/3 6.815 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 6.815 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.815 * [taylor]: Taking taylor expansion of im in im 6.815 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify 1 into 1 6.816 * [backup-simplify]: Simplify (* 1 1) into 1 6.816 * [backup-simplify]: Simplify (log 1) into 0 6.817 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.817 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 6.817 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 6.818 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow im 2/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 6.818 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)) 6.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.819 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 6.820 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 6.821 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.822 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 0) (* 0 (pow (pow im 2) 1/3))) into 0 6.822 * [backup-simplify]: Simplify (- 1) into -1 6.823 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.823 * [taylor]: Taking taylor expansion of -1 in im 6.823 * [backup-simplify]: Simplify -1 into -1 6.823 * [backup-simplify]: Simplify -1 into -1 6.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.825 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.826 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 6.827 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 0) (* 0 (pow im 2/3))) into 0 6.827 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.829 * [backup-simplify]: Simplify (* 1 1) into 1 6.829 * [backup-simplify]: Simplify (+ 0 1) into 1 6.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 6.831 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 6.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 6.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 6.833 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (* 1/3 (pow (/ 1 (pow im 4)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/3)))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 6.834 * [backup-simplify]: Simplify (- 0) into 0 6.834 * [backup-simplify]: Simplify (+ (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 0) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 6.834 * [taylor]: Taking taylor expansion of (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) in im 6.834 * [taylor]: Taking taylor expansion of 1/3 in im 6.834 * [backup-simplify]: Simplify 1/3 into 1/3 6.834 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)) in im 6.834 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) in im 6.834 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) in im 6.835 * [backup-simplify]: Simplify (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) into (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)) 6.835 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) into (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) 6.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))))) into 0 6.835 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 6.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 6.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 6.835 * [taylor]: Taking taylor expansion of 1/3 in im 6.835 * [backup-simplify]: Simplify 1/3 into 1/3 6.835 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 6.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.835 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.835 * [taylor]: Taking taylor expansion of im in im 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify (* 1 1) into 1 6.836 * [backup-simplify]: Simplify (* 1 1) into 1 6.836 * [backup-simplify]: Simplify (/ 1 1) into 1 6.836 * [backup-simplify]: Simplify (log 1) into 0 6.837 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 6.837 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 6.837 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 6.837 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow im -4/3)) into (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)) 6.837 * [backup-simplify]: Simplify (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 6.838 * [backup-simplify]: Simplify (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) 6.839 * [backup-simplify]: Simplify (+ (* (* 1/3 (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3))) (pow (* 1 re) 2)) (+ (* -1 (* 1 re)) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3)))) into (- (+ (* 1/3 (* (pow re 2) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)))) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3))) re) 6.840 * [backup-simplify]: Simplify (- (* (* (sqrt (fabs (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (sqrt (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) 6.840 * [approximate]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in (re im) around 0 6.840 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in im 6.840 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 6.840 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 6.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 6.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.840 * [taylor]: Taking taylor expansion of 1/3 in im 6.840 * [backup-simplify]: Simplify 1/3 into 1/3 6.840 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.840 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.840 * [taylor]: Taking taylor expansion of re in im 6.840 * [backup-simplify]: Simplify re into re 6.840 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.840 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.840 * [taylor]: Taking taylor expansion of im in im 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [backup-simplify]: Simplify (* 1 1) into 1 6.841 * [backup-simplify]: Simplify (/ 1 1) into 1 6.841 * [backup-simplify]: Simplify (+ 0 1) into 1 6.841 * [backup-simplify]: Simplify (log 1) into 0 6.842 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.842 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 6.842 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 6.842 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 6.842 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 6.842 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.842 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.843 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.843 * [taylor]: Taking taylor expansion of re in im 6.843 * [backup-simplify]: Simplify re into re 6.843 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.843 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 6.843 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 6.843 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.843 * [taylor]: Taking taylor expansion of 1/3 in re 6.843 * [backup-simplify]: Simplify 1/3 into 1/3 6.843 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.843 * [taylor]: Taking taylor expansion of re in re 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify 1 into 1 6.843 * [backup-simplify]: Simplify (* 1 1) into 1 6.844 * [backup-simplify]: Simplify (/ 1 1) into 1 6.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.844 * [taylor]: Taking taylor expansion of im in re 6.844 * [backup-simplify]: Simplify im into im 6.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.844 * [backup-simplify]: Simplify (+ 1 0) into 1 6.844 * [backup-simplify]: Simplify (log 1) into 0 6.845 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.845 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.845 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.845 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 6.845 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 6.845 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.845 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.846 * [taylor]: Taking taylor expansion of re in re 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [backup-simplify]: Simplify (/ 1 1) into 1 6.846 * [taylor]: Taking taylor expansion of (- (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 6.846 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 6.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.846 * [taylor]: Taking taylor expansion of 1/3 in re 6.846 * [backup-simplify]: Simplify 1/3 into 1/3 6.846 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.846 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.846 * [taylor]: Taking taylor expansion of re in re 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (* 1 1) into 1 6.847 * [backup-simplify]: Simplify (/ 1 1) into 1 6.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.847 * [taylor]: Taking taylor expansion of im in re 6.847 * [backup-simplify]: Simplify im into im 6.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.847 * [backup-simplify]: Simplify (+ 1 0) into 1 6.848 * [backup-simplify]: Simplify (log 1) into 0 6.848 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.848 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.848 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.848 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 6.848 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 6.848 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.849 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.849 * [taylor]: Taking taylor expansion of re in re 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.849 * [backup-simplify]: Simplify (/ 1 1) into 1 6.850 * [backup-simplify]: Simplify (- 1) into -1 6.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.850 * [taylor]: Taking taylor expansion of -1 in im 6.850 * [backup-simplify]: Simplify -1 into -1 6.850 * [backup-simplify]: Simplify -1 into -1 6.850 * [backup-simplify]: Simplify (* (pow re -2/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.851 * [backup-simplify]: Simplify (- 0) into 0 6.851 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 0) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.852 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 6.852 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.852 * [taylor]: Taking taylor expansion of 1/3 in im 6.852 * [backup-simplify]: Simplify 1/3 into 1/3 6.852 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.852 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.852 * [taylor]: Taking taylor expansion of re in im 6.852 * [backup-simplify]: Simplify re into re 6.852 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.852 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.852 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.852 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.852 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.852 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 6.852 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 6.852 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.853 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.853 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.854 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.854 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.855 * [backup-simplify]: Simplify (+ 0 0) into 0 6.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.856 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 6.857 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.858 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (- 0) into 0 6.859 * [backup-simplify]: Simplify (+ 0 0) into 0 6.859 * [taylor]: Taking taylor expansion of 0 in im 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.865 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.866 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.868 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.869 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.870 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 6.871 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 6.872 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (+ (* 0 0) (* (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (- 0) into 0 6.873 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 0) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 6.873 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) in im 6.873 * [taylor]: Taking taylor expansion of 1/3 in im 6.873 * [backup-simplify]: Simplify 1/3 into 1/3 6.873 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2)))) in im 6.873 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.873 * [taylor]: Taking taylor expansion of 1/3 in im 6.873 * [backup-simplify]: Simplify 1/3 into 1/3 6.873 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.873 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.873 * [taylor]: Taking taylor expansion of re in im 6.873 * [backup-simplify]: Simplify re into re 6.873 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.874 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.874 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.874 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.874 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))) in im 6.874 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 6.874 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 6.874 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.874 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.875 * [taylor]: Taking taylor expansion of im in im 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 1 into 1 6.875 * [backup-simplify]: Simplify (* 1 1) into 1 6.875 * [backup-simplify]: Simplify (/ 1 1) into 1 6.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.879 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (+ (* 0 0) (* 0 1))) into 0 6.879 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.882 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (* 0 1)) into 0 6.882 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 6.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 6.884 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 6.885 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.885 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 1) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.886 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 6.886 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.886 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))))) into 0 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (/ 1 re) 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow (/ 1 re) 2)) (/ 1 (pow (/ 1 im) 2))) 1/3)))) (* -1 (* 1 (/ 1 (/ 1 re))))) into (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) 6.889 * [backup-simplify]: Simplify (- (* (* (sqrt (fabs (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (sqrt (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) 6.889 * [approximate]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in (re im) around 0 6.889 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in im 6.889 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 6.889 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 6.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 6.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.889 * [taylor]: Taking taylor expansion of 1/3 in im 6.889 * [backup-simplify]: Simplify 1/3 into 1/3 6.889 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.889 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.889 * [taylor]: Taking taylor expansion of re in im 6.889 * [backup-simplify]: Simplify re into re 6.889 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.889 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.889 * [taylor]: Taking taylor expansion of im in im 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 1 into 1 6.890 * [backup-simplify]: Simplify (* 1 1) into 1 6.890 * [backup-simplify]: Simplify (/ 1 1) into 1 6.890 * [backup-simplify]: Simplify (+ 0 1) into 1 6.890 * [backup-simplify]: Simplify (log 1) into 0 6.891 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.891 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 6.891 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 6.891 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 6.891 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 6.891 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.891 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.892 * [taylor]: Taking taylor expansion of re in im 6.892 * [backup-simplify]: Simplify re into re 6.892 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.892 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 6.892 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 6.892 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.892 * [taylor]: Taking taylor expansion of 1/3 in re 6.892 * [backup-simplify]: Simplify 1/3 into 1/3 6.892 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.892 * [taylor]: Taking taylor expansion of re in re 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 1 into 1 6.892 * [backup-simplify]: Simplify (* 1 1) into 1 6.892 * [backup-simplify]: Simplify (/ 1 1) into 1 6.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.892 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.893 * [taylor]: Taking taylor expansion of im in re 6.893 * [backup-simplify]: Simplify im into im 6.893 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.893 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.893 * [backup-simplify]: Simplify (+ 1 0) into 1 6.893 * [backup-simplify]: Simplify (log 1) into 0 6.893 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.894 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.894 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.894 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 6.894 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 6.894 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.894 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.894 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.894 * [taylor]: Taking taylor expansion of re in re 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (/ 1 1) into 1 6.895 * [taylor]: Taking taylor expansion of (+ (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) (/ 1 re)) in re 6.895 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in re 6.895 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 6.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.895 * [taylor]: Taking taylor expansion of 1/3 in re 6.895 * [backup-simplify]: Simplify 1/3 into 1/3 6.895 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.895 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.895 * [taylor]: Taking taylor expansion of re in re 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (* 1 1) into 1 6.895 * [backup-simplify]: Simplify (/ 1 1) into 1 6.896 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.896 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.896 * [taylor]: Taking taylor expansion of im in re 6.896 * [backup-simplify]: Simplify im into im 6.896 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.896 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.896 * [backup-simplify]: Simplify (+ 1 0) into 1 6.896 * [backup-simplify]: Simplify (log 1) into 0 6.897 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.897 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 6.897 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 6.897 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in re 6.897 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in re 6.897 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.897 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.897 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.897 * [taylor]: Taking taylor expansion of re in re 6.897 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (/ 1 1) into 1 6.898 * [backup-simplify]: Simplify (+ 0 1) into 1 6.898 * [taylor]: Taking taylor expansion of 1 in im 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (* (pow re -2/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.899 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 0) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.899 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) in im 6.900 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.900 * [taylor]: Taking taylor expansion of 1/3 in im 6.900 * [backup-simplify]: Simplify 1/3 into 1/3 6.900 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.900 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.900 * [taylor]: Taking taylor expansion of re in im 6.900 * [backup-simplify]: Simplify re into re 6.900 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.900 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.900 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.900 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.900 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.900 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 6.900 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 6.900 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.901 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.901 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.902 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.903 * [backup-simplify]: Simplify (+ 0 0) into 0 6.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.904 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 6.905 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (+ 0 0) into 0 6.906 * [taylor]: Taking taylor expansion of 0 in im 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.908 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.908 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.912 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.912 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 6.913 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 6.914 * [backup-simplify]: Simplify (+ (* (pow re -2/3) 0) (+ (* 0 0) (* (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 6.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 0) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) 6.915 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))))) in im 6.915 * [taylor]: Taking taylor expansion of 1/3 in im 6.915 * [backup-simplify]: Simplify 1/3 into 1/3 6.915 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2)))) in im 6.915 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 6.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 6.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 6.915 * [taylor]: Taking taylor expansion of 1/3 in im 6.915 * [backup-simplify]: Simplify 1/3 into 1/3 6.915 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 6.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.915 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.915 * [taylor]: Taking taylor expansion of re in im 6.915 * [backup-simplify]: Simplify re into re 6.915 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.915 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.915 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 6.916 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 6.916 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 6.916 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) (/ 1 (pow im 2))) in im 6.916 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) in im 6.916 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) in im 6.916 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)) 6.916 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.916 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.917 * [taylor]: Taking taylor expansion of im in im 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.917 * [backup-simplify]: Simplify (/ 1 1) into 1 6.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.920 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (+ (* 0 0) (* 0 1))) into 0 6.921 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 6.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 6.922 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.923 * [backup-simplify]: Simplify (+ (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 6.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 6.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 6.926 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.927 * [backup-simplify]: Simplify (* (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 1) into (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))) 6.927 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))))) into 0 6.928 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))) into 0 6.928 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) into (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)))) 6.929 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow re 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3))))))) into 0 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3) (sqrt (fabs (pow (+ (/ 1 (pow (/ 1 (- re)) 2)) (/ 1 (pow (/ 1 (- im)) 2))) 1/3)))) (* 1 (* 1 (/ 1 (/ 1 (- re)))))) into (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) 6.930 * * * [progress]: simplifying candidates 6.931 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) (exp re)) (log (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (exp (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (* (cbrt (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (cbrt (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))) (cbrt (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (* (* (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re) (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)) (- (pow (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow re 3)) (+ (* (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) (+ (* re re) (* (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))) (- re) (- (* (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) (* re re)) (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re) (- re) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) (- (+ (* 1/3 (* (pow re 2) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (/ 1 (pow im 4)) 1/3)))) (* (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3))) (pow (pow im 2) 1/3))) re) (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) (- (* (pow (pow re 2) 1/3) (sqrt (fabs (pow (+ (pow im 2) (pow re 2)) 1/3)))) re) 6.932 * * [simplify]: iteration 0: 106 enodes 6.961 * * [simplify]: iteration 1: 243 enodes 7.048 * * [simplify]: iteration 2: 733 enodes 7.510 * * [simplify]: iteration 3: 2656 enodes 8.266 * * [simplify]: iteration complete: 5001 enodes 8.266 * * [simplify]: Extracting #0: cost 44 inf + 0 8.267 * * [simplify]: Extracting #1: cost 161 inf + 4 8.268 * * [simplify]: Extracting #2: cost 583 inf + 966 8.273 * * [simplify]: Extracting #3: cost 1240 inf + 12179 8.301 * * [simplify]: Extracting #4: cost 1054 inf + 89664 8.359 * * [simplify]: Extracting #5: cost 522 inf + 236052 8.461 * * [simplify]: Extracting #6: cost 180 inf + 398913 8.599 * * [simplify]: Extracting #7: cost 34 inf + 485690 8.724 * * [simplify]: Extracting #8: cost 7 inf + 492088 8.860 * * [simplify]: Extracting #9: cost 0 inf + 494139 9.019 * [simplify]: Simplified to: (* 1/3 (log (+ (* im im) (* re re)))) (exp (cbrt (+ (* im im) (* re re)))) (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) 1 (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) re) (* (* re re) re)))) (cbrt (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (* (+ re im) (- re im))) (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (+ (* im im) (* re re)) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (* 1/3 (log (+ (* im im) (* re re)))) (exp (cbrt (+ (* im im) (* re re)))) (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) 1 (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) re) (* (* re re) re)))) (cbrt (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (* (+ re im) (- re im))) (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (+ (* im im) (* re re)) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) re) (* (* re re) re)))) (sqrt (+ (* (* re re) (* re re)) (* (* im im) (- (* 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)))) (exp (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (log (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (exp (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (* (cbrt (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (cbrt (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re))) (cbrt (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (* (* (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re) (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (sqrt (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (sqrt (- (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re)) (- (* (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (* (sqrt (cbrt (+ (* im im) (* re re)))) (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))))) (* (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))) (* (* re re) re)) (+ (* (+ (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re) (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re))))))) (* re re)) (- re) (- (* (* (sqrt (+ (* im im) (* re re))) (sqrt (cbrt (+ (* im im) (* re re))))) (fabs (cbrt (+ (* im im) (* re re))))) (* re re)) (+ (* (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (cbrt (+ (* im im) (* re re)))))) re) (- re) (+ (* (* 1/3 (* re re)) (cbrt (/ 1 (* (* im im) (* im im))))) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* (* 1/3 (* re re)) (cbrt (/ 1 (* (* im im) (* im im))))) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (- re) (- (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (+ (cbrt (* im im)) (* (* 1/3 (* re re)) (cbrt (/ 1 (* (* im im) (* im im))))))) re) (- (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (cbrt (* re re))) re) (- (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (cbrt (* re re))) re) 9.032 * * * [progress]: adding candidates to table 9.612 * * [progress]: iteration 4 / 4 9.613 * * * [progress]: picking best candidate 9.661 * * * * [pick]: Picked # 9.662 * * * [progress]: localizing error 9.725 * * * [progress]: generating rewritten candidates 9.725 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 9.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1) 9.738 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 9.750 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 9.985 * * * [progress]: generating series expansions 9.985 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 9.986 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 9.986 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 9.986 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.986 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.986 * [taylor]: Taking taylor expansion of im in im 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.986 * [taylor]: Taking taylor expansion of re in im 9.986 * [backup-simplify]: Simplify re into re 9.986 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.986 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.986 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.986 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.987 * [backup-simplify]: Simplify (+ 0 0) into 0 9.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.987 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.987 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.987 * [taylor]: Taking taylor expansion of im in re 9.987 * [backup-simplify]: Simplify im into im 9.987 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.987 * [taylor]: Taking taylor expansion of re in re 9.988 * [backup-simplify]: Simplify 0 into 0 9.988 * [backup-simplify]: Simplify 1 into 1 9.988 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.988 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.988 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.988 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.988 * [backup-simplify]: Simplify (+ 0 0) into 0 9.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.989 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.989 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.989 * [taylor]: Taking taylor expansion of im in re 9.989 * [backup-simplify]: Simplify im into im 9.989 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.989 * [taylor]: Taking taylor expansion of re in re 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.989 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.989 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.990 * [backup-simplify]: Simplify (+ 0 0) into 0 9.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.990 * [taylor]: Taking taylor expansion of im in im 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 1 into 1 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [taylor]: Taking taylor expansion of 0 in im 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 1 into 1 9.991 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.991 * [backup-simplify]: Simplify (* 1 1) into 1 9.991 * [backup-simplify]: Simplify (+ 0 1) into 1 9.992 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.992 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.992 * [taylor]: Taking taylor expansion of 1/2 in im 9.992 * [backup-simplify]: Simplify 1/2 into 1/2 9.992 * [taylor]: Taking taylor expansion of im in im 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 1 into 1 9.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.996 * [backup-simplify]: Simplify (+ 0 0) into 0 9.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.996 * [taylor]: Taking taylor expansion of 0 in im 9.996 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.997 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.998 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.998 * [taylor]: Taking taylor expansion of re in im 9.998 * [backup-simplify]: Simplify re into re 9.998 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.998 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.998 * [taylor]: Taking taylor expansion of im in im 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 1 into 1 9.998 * [backup-simplify]: Simplify (* 1 1) into 1 9.999 * [backup-simplify]: Simplify (/ 1 1) into 1 9.999 * [backup-simplify]: Simplify (+ 0 1) into 1 10.000 * [backup-simplify]: Simplify (sqrt 1) into 1 10.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.001 * [backup-simplify]: Simplify (+ 0 0) into 0 10.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.002 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.002 * [taylor]: Taking taylor expansion of re in re 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify (* 1 1) into 1 10.003 * [backup-simplify]: Simplify (/ 1 1) into 1 10.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.003 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.003 * [taylor]: Taking taylor expansion of im in re 10.003 * [backup-simplify]: Simplify im into im 10.003 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.004 * [backup-simplify]: Simplify (+ 1 0) into 1 10.004 * [backup-simplify]: Simplify (sqrt 1) into 1 10.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.006 * [backup-simplify]: Simplify (+ 0 0) into 0 10.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.007 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.007 * [taylor]: Taking taylor expansion of re in re 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 1 into 1 10.007 * [backup-simplify]: Simplify (* 1 1) into 1 10.008 * [backup-simplify]: Simplify (/ 1 1) into 1 10.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.008 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.008 * [taylor]: Taking taylor expansion of im in re 10.008 * [backup-simplify]: Simplify im into im 10.008 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.008 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.008 * [backup-simplify]: Simplify (+ 1 0) into 1 10.009 * [backup-simplify]: Simplify (sqrt 1) into 1 10.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.010 * [backup-simplify]: Simplify (+ 0 0) into 0 10.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.011 * [taylor]: Taking taylor expansion of 1 in im 10.011 * [backup-simplify]: Simplify 1 into 1 10.011 * [taylor]: Taking taylor expansion of 0 in im 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 1 into 1 10.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.014 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.015 * [taylor]: Taking taylor expansion of 1/2 in im 10.015 * [backup-simplify]: Simplify 1/2 into 1/2 10.015 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.015 * [taylor]: Taking taylor expansion of im in im 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (* 1 1) into 1 10.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.020 * [backup-simplify]: Simplify (+ 0 0) into 0 10.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.021 * [taylor]: Taking taylor expansion of 0 in im 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.022 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.022 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.022 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.022 * [taylor]: Taking taylor expansion of re in im 10.022 * [backup-simplify]: Simplify re into re 10.022 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.022 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.022 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.023 * [taylor]: Taking taylor expansion of im in im 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (* 1 1) into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.023 * [backup-simplify]: Simplify (+ 0 1) into 1 10.024 * [backup-simplify]: Simplify (sqrt 1) into 1 10.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.025 * [backup-simplify]: Simplify (+ 0 0) into 0 10.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.025 * [taylor]: Taking taylor expansion of re in re 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (* 1 1) into 1 10.026 * [backup-simplify]: Simplify (/ 1 1) into 1 10.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.026 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.026 * [taylor]: Taking taylor expansion of im in re 10.026 * [backup-simplify]: Simplify im into im 10.026 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.026 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.026 * [backup-simplify]: Simplify (+ 1 0) into 1 10.026 * [backup-simplify]: Simplify (sqrt 1) into 1 10.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (+ 0 0) into 0 10.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.028 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.028 * [taylor]: Taking taylor expansion of re in re 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 1 into 1 10.028 * [backup-simplify]: Simplify (* 1 1) into 1 10.028 * [backup-simplify]: Simplify (/ 1 1) into 1 10.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.028 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.028 * [taylor]: Taking taylor expansion of im in re 10.029 * [backup-simplify]: Simplify im into im 10.029 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.029 * [backup-simplify]: Simplify (+ 1 0) into 1 10.029 * [backup-simplify]: Simplify (sqrt 1) into 1 10.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.030 * [backup-simplify]: Simplify (+ 0 0) into 0 10.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.031 * [taylor]: Taking taylor expansion of 1 in im 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [taylor]: Taking taylor expansion of 0 in im 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.032 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.033 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.033 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.033 * [taylor]: Taking taylor expansion of 1/2 in im 10.033 * [backup-simplify]: Simplify 1/2 into 1/2 10.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.033 * [taylor]: Taking taylor expansion of im in im 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 1 into 1 10.033 * [backup-simplify]: Simplify (* 1 1) into 1 10.033 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.036 * [backup-simplify]: Simplify (+ 0 0) into 0 10.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.036 * [taylor]: Taking taylor expansion of 0 in im 10.036 * [backup-simplify]: Simplify 0 into 0 10.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.038 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1) 10.038 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.038 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.038 * [taylor]: Taking taylor expansion of im in im 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.038 * [taylor]: Taking taylor expansion of re in im 10.038 * [backup-simplify]: Simplify re into re 10.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.038 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.038 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.038 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.039 * [backup-simplify]: Simplify (+ 0 0) into 0 10.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.039 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.039 * [taylor]: Taking taylor expansion of im in re 10.039 * [backup-simplify]: Simplify im into im 10.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.039 * [taylor]: Taking taylor expansion of re in re 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 1 into 1 10.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.039 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.039 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.039 * [backup-simplify]: Simplify (+ 0 0) into 0 10.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.040 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.040 * [taylor]: Taking taylor expansion of im in re 10.040 * [backup-simplify]: Simplify im into im 10.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.040 * [taylor]: Taking taylor expansion of re in re 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.040 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.040 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.040 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.040 * [backup-simplify]: Simplify (+ 0 0) into 0 10.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.040 * [taylor]: Taking taylor expansion of im in im 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [taylor]: Taking taylor expansion of 0 in im 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 1 into 1 10.041 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.041 * [backup-simplify]: Simplify (* 1 1) into 1 10.042 * [backup-simplify]: Simplify (+ 0 1) into 1 10.042 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.042 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.042 * [taylor]: Taking taylor expansion of 1/2 in im 10.042 * [backup-simplify]: Simplify 1/2 into 1/2 10.042 * [taylor]: Taking taylor expansion of im in im 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.045 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.045 * [taylor]: Taking taylor expansion of 0 in im 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.047 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.047 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.047 * [taylor]: Taking taylor expansion of re in im 10.047 * [backup-simplify]: Simplify re into re 10.047 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.047 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.047 * [taylor]: Taking taylor expansion of im in im 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 1 into 1 10.048 * [backup-simplify]: Simplify (* 1 1) into 1 10.048 * [backup-simplify]: Simplify (/ 1 1) into 1 10.048 * [backup-simplify]: Simplify (+ 0 1) into 1 10.049 * [backup-simplify]: Simplify (sqrt 1) into 1 10.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.050 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.051 * [taylor]: Taking taylor expansion of re in re 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (* 1 1) into 1 10.052 * [backup-simplify]: Simplify (/ 1 1) into 1 10.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.052 * [taylor]: Taking taylor expansion of im in re 10.052 * [backup-simplify]: Simplify im into im 10.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.052 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.053 * [backup-simplify]: Simplify (+ 1 0) into 1 10.053 * [backup-simplify]: Simplify (sqrt 1) into 1 10.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (+ 0 0) into 0 10.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.056 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.056 * [taylor]: Taking taylor expansion of re in re 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify 1 into 1 10.056 * [backup-simplify]: Simplify (* 1 1) into 1 10.056 * [backup-simplify]: Simplify (/ 1 1) into 1 10.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.056 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.056 * [taylor]: Taking taylor expansion of im in re 10.057 * [backup-simplify]: Simplify im into im 10.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.057 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.057 * [backup-simplify]: Simplify (+ 1 0) into 1 10.058 * [backup-simplify]: Simplify (sqrt 1) into 1 10.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.059 * [backup-simplify]: Simplify (+ 0 0) into 0 10.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.060 * [taylor]: Taking taylor expansion of 1 in im 10.060 * [backup-simplify]: Simplify 1 into 1 10.060 * [taylor]: Taking taylor expansion of 0 in im 10.060 * [backup-simplify]: Simplify 0 into 0 10.060 * [backup-simplify]: Simplify 1 into 1 10.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.067 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.067 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.067 * [taylor]: Taking taylor expansion of 1/2 in im 10.067 * [backup-simplify]: Simplify 1/2 into 1/2 10.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.067 * [taylor]: Taking taylor expansion of im in im 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (* 1 1) into 1 10.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.070 * [backup-simplify]: Simplify 0 into 0 10.070 * [backup-simplify]: Simplify 0 into 0 10.070 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.073 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.073 * [backup-simplify]: Simplify (+ 0 0) into 0 10.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.074 * [taylor]: Taking taylor expansion of 0 in im 10.074 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.077 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.077 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.077 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.077 * [taylor]: Taking taylor expansion of re in im 10.077 * [backup-simplify]: Simplify re into re 10.077 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.077 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.077 * [taylor]: Taking taylor expansion of im in im 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 1 into 1 10.078 * [backup-simplify]: Simplify (* 1 1) into 1 10.078 * [backup-simplify]: Simplify (/ 1 1) into 1 10.078 * [backup-simplify]: Simplify (+ 0 1) into 1 10.079 * [backup-simplify]: Simplify (sqrt 1) into 1 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.080 * [backup-simplify]: Simplify (+ 0 0) into 0 10.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.081 * [taylor]: Taking taylor expansion of re in re 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 1 into 1 10.082 * [backup-simplify]: Simplify (* 1 1) into 1 10.082 * [backup-simplify]: Simplify (/ 1 1) into 1 10.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.082 * [taylor]: Taking taylor expansion of im in re 10.082 * [backup-simplify]: Simplify im into im 10.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.083 * [backup-simplify]: Simplify (+ 1 0) into 1 10.083 * [backup-simplify]: Simplify (sqrt 1) into 1 10.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.085 * [backup-simplify]: Simplify (+ 0 0) into 0 10.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.086 * [taylor]: Taking taylor expansion of re in re 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (* 1 1) into 1 10.086 * [backup-simplify]: Simplify (/ 1 1) into 1 10.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.087 * [taylor]: Taking taylor expansion of im in re 10.087 * [backup-simplify]: Simplify im into im 10.087 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.087 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.087 * [backup-simplify]: Simplify (+ 1 0) into 1 10.088 * [backup-simplify]: Simplify (sqrt 1) into 1 10.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.089 * [backup-simplify]: Simplify (+ 0 0) into 0 10.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.090 * [taylor]: Taking taylor expansion of 1 in im 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [taylor]: Taking taylor expansion of 0 in im 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.094 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.094 * [taylor]: Taking taylor expansion of 1/2 in im 10.094 * [backup-simplify]: Simplify 1/2 into 1/2 10.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.094 * [taylor]: Taking taylor expansion of im in im 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 1 into 1 10.095 * [backup-simplify]: Simplify (* 1 1) into 1 10.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.099 * [backup-simplify]: Simplify (+ 0 0) into 0 10.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.100 * [taylor]: Taking taylor expansion of 0 in im 10.100 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.102 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.103 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 10.103 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.103 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.103 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.103 * [taylor]: Taking taylor expansion of im in im 10.103 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify 1 into 1 10.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.103 * [taylor]: Taking taylor expansion of re in im 10.103 * [backup-simplify]: Simplify re into re 10.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.103 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.104 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.104 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.104 * [backup-simplify]: Simplify (+ 0 0) into 0 10.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.104 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.104 * [taylor]: Taking taylor expansion of im in re 10.104 * [backup-simplify]: Simplify im into im 10.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.104 * [taylor]: Taking taylor expansion of re in re 10.104 * [backup-simplify]: Simplify 0 into 0 10.105 * [backup-simplify]: Simplify 1 into 1 10.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.105 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.105 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.105 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.105 * [backup-simplify]: Simplify (+ 0 0) into 0 10.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.106 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.106 * [taylor]: Taking taylor expansion of im in re 10.106 * [backup-simplify]: Simplify im into im 10.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.106 * [taylor]: Taking taylor expansion of re in re 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 1 into 1 10.106 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.106 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.106 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.106 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.107 * [backup-simplify]: Simplify (+ 0 0) into 0 10.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.107 * [taylor]: Taking taylor expansion of im in im 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 1 into 1 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [taylor]: Taking taylor expansion of 0 in im 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 1 into 1 10.107 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.108 * [backup-simplify]: Simplify (* 1 1) into 1 10.108 * [backup-simplify]: Simplify (+ 0 1) into 1 10.109 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.109 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.109 * [taylor]: Taking taylor expansion of 1/2 in im 10.109 * [backup-simplify]: Simplify 1/2 into 1/2 10.109 * [taylor]: Taking taylor expansion of im in im 10.109 * [backup-simplify]: Simplify 0 into 0 10.109 * [backup-simplify]: Simplify 1 into 1 10.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.110 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify 0 into 0 10.111 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.112 * [backup-simplify]: Simplify (+ 0 0) into 0 10.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.112 * [taylor]: Taking taylor expansion of 0 in im 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.113 * [backup-simplify]: Simplify 0 into 0 10.114 * [backup-simplify]: Simplify 0 into 0 10.114 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.114 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.114 * [taylor]: Taking taylor expansion of re in im 10.114 * [backup-simplify]: Simplify re into re 10.114 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.114 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.114 * [taylor]: Taking taylor expansion of im in im 10.114 * [backup-simplify]: Simplify 0 into 0 10.114 * [backup-simplify]: Simplify 1 into 1 10.115 * [backup-simplify]: Simplify (* 1 1) into 1 10.115 * [backup-simplify]: Simplify (/ 1 1) into 1 10.116 * [backup-simplify]: Simplify (+ 0 1) into 1 10.116 * [backup-simplify]: Simplify (sqrt 1) into 1 10.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.118 * [backup-simplify]: Simplify (+ 0 0) into 0 10.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.118 * [taylor]: Taking taylor expansion of re in re 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 1 into 1 10.119 * [backup-simplify]: Simplify (* 1 1) into 1 10.119 * [backup-simplify]: Simplify (/ 1 1) into 1 10.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.119 * [taylor]: Taking taylor expansion of im in re 10.119 * [backup-simplify]: Simplify im into im 10.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.120 * [backup-simplify]: Simplify (+ 1 0) into 1 10.120 * [backup-simplify]: Simplify (sqrt 1) into 1 10.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.122 * [backup-simplify]: Simplify (+ 0 0) into 0 10.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.123 * [taylor]: Taking taylor expansion of re in re 10.123 * [backup-simplify]: Simplify 0 into 0 10.123 * [backup-simplify]: Simplify 1 into 1 10.124 * [backup-simplify]: Simplify (* 1 1) into 1 10.124 * [backup-simplify]: Simplify (/ 1 1) into 1 10.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.124 * [taylor]: Taking taylor expansion of im in re 10.124 * [backup-simplify]: Simplify im into im 10.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.125 * [backup-simplify]: Simplify (+ 1 0) into 1 10.125 * [backup-simplify]: Simplify (sqrt 1) into 1 10.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.127 * [backup-simplify]: Simplify (+ 0 0) into 0 10.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.128 * [taylor]: Taking taylor expansion of 1 in im 10.128 * [backup-simplify]: Simplify 1 into 1 10.128 * [taylor]: Taking taylor expansion of 0 in im 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 1 into 1 10.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.132 * [taylor]: Taking taylor expansion of 1/2 in im 10.132 * [backup-simplify]: Simplify 1/2 into 1/2 10.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.132 * [taylor]: Taking taylor expansion of im in im 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 1 into 1 10.132 * [backup-simplify]: Simplify (* 1 1) into 1 10.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.137 * [backup-simplify]: Simplify (+ 0 0) into 0 10.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.138 * [taylor]: Taking taylor expansion of 0 in im 10.138 * [backup-simplify]: Simplify 0 into 0 10.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.141 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.141 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.141 * [taylor]: Taking taylor expansion of re in im 10.141 * [backup-simplify]: Simplify re into re 10.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.141 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.141 * [taylor]: Taking taylor expansion of im in im 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify 1 into 1 10.142 * [backup-simplify]: Simplify (* 1 1) into 1 10.142 * [backup-simplify]: Simplify (/ 1 1) into 1 10.143 * [backup-simplify]: Simplify (+ 0 1) into 1 10.143 * [backup-simplify]: Simplify (sqrt 1) into 1 10.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.145 * [backup-simplify]: Simplify (+ 0 0) into 0 10.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.146 * [taylor]: Taking taylor expansion of re in re 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 1 into 1 10.146 * [backup-simplify]: Simplify (* 1 1) into 1 10.147 * [backup-simplify]: Simplify (/ 1 1) into 1 10.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.147 * [taylor]: Taking taylor expansion of im in re 10.147 * [backup-simplify]: Simplify im into im 10.147 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.147 * [backup-simplify]: Simplify (+ 1 0) into 1 10.148 * [backup-simplify]: Simplify (sqrt 1) into 1 10.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.150 * [backup-simplify]: Simplify (+ 0 0) into 0 10.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.151 * [taylor]: Taking taylor expansion of re in re 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [backup-simplify]: Simplify (* 1 1) into 1 10.152 * [backup-simplify]: Simplify (/ 1 1) into 1 10.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.152 * [taylor]: Taking taylor expansion of im in re 10.152 * [backup-simplify]: Simplify im into im 10.152 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.153 * [backup-simplify]: Simplify (+ 1 0) into 1 10.153 * [backup-simplify]: Simplify (sqrt 1) into 1 10.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.155 * [backup-simplify]: Simplify (+ 0 0) into 0 10.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.156 * [taylor]: Taking taylor expansion of 1 in im 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [taylor]: Taking taylor expansion of 0 in im 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.159 * [taylor]: Taking taylor expansion of 1/2 in im 10.159 * [backup-simplify]: Simplify 1/2 into 1/2 10.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.159 * [taylor]: Taking taylor expansion of im in im 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 1 into 1 10.160 * [backup-simplify]: Simplify (* 1 1) into 1 10.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.162 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.165 * [backup-simplify]: Simplify (+ 0 0) into 0 10.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.166 * [taylor]: Taking taylor expansion of 0 in im 10.166 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.168 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.168 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 10.169 * [backup-simplify]: Simplify (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 10.169 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 10.169 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 10.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.169 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.169 * [taylor]: Taking taylor expansion of im in im 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 1 into 1 10.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.169 * [taylor]: Taking taylor expansion of re in im 10.169 * [backup-simplify]: Simplify re into re 10.169 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.169 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.169 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.170 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.170 * [backup-simplify]: Simplify (+ 0 0) into 0 10.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.170 * [taylor]: Taking taylor expansion of re in im 10.170 * [backup-simplify]: Simplify re into re 10.170 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 10.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.170 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.170 * [taylor]: Taking taylor expansion of im in re 10.171 * [backup-simplify]: Simplify im into im 10.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.171 * [taylor]: Taking taylor expansion of re in re 10.171 * [backup-simplify]: Simplify 0 into 0 10.171 * [backup-simplify]: Simplify 1 into 1 10.171 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.171 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.171 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.172 * [backup-simplify]: Simplify (+ 0 0) into 0 10.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.172 * [taylor]: Taking taylor expansion of re in re 10.172 * [backup-simplify]: Simplify 0 into 0 10.172 * [backup-simplify]: Simplify 1 into 1 10.172 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 10.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.172 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.172 * [taylor]: Taking taylor expansion of im in re 10.172 * [backup-simplify]: Simplify im into im 10.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.172 * [taylor]: Taking taylor expansion of re in re 10.172 * [backup-simplify]: Simplify 0 into 0 10.172 * [backup-simplify]: Simplify 1 into 1 10.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.173 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.173 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.173 * [backup-simplify]: Simplify (+ 0 0) into 0 10.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.173 * [taylor]: Taking taylor expansion of re in re 10.173 * [backup-simplify]: Simplify 0 into 0 10.173 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify (- 0) into 0 10.174 * [backup-simplify]: Simplify (+ im 0) into im 10.174 * [taylor]: Taking taylor expansion of im in im 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify (- 1) into -1 10.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.175 * [taylor]: Taking taylor expansion of -1 in im 10.175 * [backup-simplify]: Simplify -1 into -1 10.175 * [backup-simplify]: Simplify -1 into -1 10.175 * [backup-simplify]: Simplify 1 into 1 10.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.176 * [backup-simplify]: Simplify (* 1 1) into 1 10.176 * [backup-simplify]: Simplify (+ 0 1) into 1 10.177 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.177 * [backup-simplify]: Simplify (- 0) into 0 10.178 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 10.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.178 * [taylor]: Taking taylor expansion of 1/2 in im 10.178 * [backup-simplify]: Simplify 1/2 into 1/2 10.178 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.178 * [taylor]: Taking taylor expansion of im in im 10.178 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify 1 into 1 10.178 * [backup-simplify]: Simplify (/ 1 1) into 1 10.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.181 * [backup-simplify]: Simplify (+ 0 0) into 0 10.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.182 * [backup-simplify]: Simplify (- 0) into 0 10.182 * [backup-simplify]: Simplify (+ 0 0) into 0 10.182 * [taylor]: Taking taylor expansion of 0 in im 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 10.186 * [backup-simplify]: Simplify (- (* (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 10.186 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 10.186 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.186 * [taylor]: Taking taylor expansion of re in im 10.186 * [backup-simplify]: Simplify re into re 10.186 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.187 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.187 * [taylor]: Taking taylor expansion of im in im 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 1 into 1 10.187 * [backup-simplify]: Simplify (* 1 1) into 1 10.187 * [backup-simplify]: Simplify (/ 1 1) into 1 10.188 * [backup-simplify]: Simplify (+ 0 1) into 1 10.188 * [backup-simplify]: Simplify (sqrt 1) into 1 10.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.190 * [backup-simplify]: Simplify (+ 0 0) into 0 10.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.191 * [taylor]: Taking taylor expansion of re in im 10.191 * [backup-simplify]: Simplify re into re 10.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.191 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.191 * [taylor]: Taking taylor expansion of re in re 10.191 * [backup-simplify]: Simplify 0 into 0 10.191 * [backup-simplify]: Simplify 1 into 1 10.192 * [backup-simplify]: Simplify (* 1 1) into 1 10.192 * [backup-simplify]: Simplify (/ 1 1) into 1 10.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.192 * [taylor]: Taking taylor expansion of im in re 10.192 * [backup-simplify]: Simplify im into im 10.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.193 * [backup-simplify]: Simplify (+ 1 0) into 1 10.193 * [backup-simplify]: Simplify (sqrt 1) into 1 10.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.195 * [backup-simplify]: Simplify (+ 0 0) into 0 10.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.196 * [taylor]: Taking taylor expansion of re in re 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 1 into 1 10.196 * [backup-simplify]: Simplify (/ 1 1) into 1 10.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.197 * [taylor]: Taking taylor expansion of re in re 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 1 into 1 10.197 * [backup-simplify]: Simplify (* 1 1) into 1 10.197 * [backup-simplify]: Simplify (/ 1 1) into 1 10.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.197 * [taylor]: Taking taylor expansion of im in re 10.197 * [backup-simplify]: Simplify im into im 10.198 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.198 * [backup-simplify]: Simplify (+ 1 0) into 1 10.199 * [backup-simplify]: Simplify (sqrt 1) into 1 10.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.200 * [backup-simplify]: Simplify (+ 0 0) into 0 10.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.201 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.201 * [taylor]: Taking taylor expansion of re in re 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 1 into 1 10.202 * [backup-simplify]: Simplify (/ 1 1) into 1 10.202 * [backup-simplify]: Simplify (- 1) into -1 10.203 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.203 * [taylor]: Taking taylor expansion of 0 in im 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.204 * [backup-simplify]: Simplify (- 0) into 0 10.204 * [backup-simplify]: Simplify (+ 0 0) into 0 10.204 * [taylor]: Taking taylor expansion of 0 in im 10.204 * [backup-simplify]: Simplify 0 into 0 10.204 * [backup-simplify]: Simplify 0 into 0 10.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.206 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.208 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.209 * [backup-simplify]: Simplify (- 0) into 0 10.209 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.209 * [taylor]: Taking taylor expansion of 1/2 in im 10.209 * [backup-simplify]: Simplify 1/2 into 1/2 10.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.209 * [taylor]: Taking taylor expansion of im in im 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.210 * [backup-simplify]: Simplify (* 1 1) into 1 10.210 * [backup-simplify]: Simplify (/ 1 1) into 1 10.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.212 * [backup-simplify]: Simplify 0 into 0 10.212 * [backup-simplify]: Simplify 0 into 0 10.212 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.215 * [backup-simplify]: Simplify (+ 0 0) into 0 10.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.222 * [backup-simplify]: Simplify (- 0) into 0 10.223 * [backup-simplify]: Simplify (+ 0 0) into 0 10.223 * [taylor]: Taking taylor expansion of 0 in im 10.223 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify (- (* (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 10.228 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 10.228 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.228 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.228 * [taylor]: Taking taylor expansion of re in im 10.228 * [backup-simplify]: Simplify re into re 10.228 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.228 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.228 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.228 * [taylor]: Taking taylor expansion of re in im 10.228 * [backup-simplify]: Simplify re into re 10.228 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.228 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.228 * [taylor]: Taking taylor expansion of im in im 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 1 into 1 10.229 * [backup-simplify]: Simplify (* 1 1) into 1 10.229 * [backup-simplify]: Simplify (/ 1 1) into 1 10.230 * [backup-simplify]: Simplify (+ 0 1) into 1 10.230 * [backup-simplify]: Simplify (sqrt 1) into 1 10.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.232 * [backup-simplify]: Simplify (+ 0 0) into 0 10.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.233 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.233 * [taylor]: Taking taylor expansion of re in re 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.233 * [backup-simplify]: Simplify (/ 1 1) into 1 10.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.233 * [taylor]: Taking taylor expansion of re in re 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify (* 1 1) into 1 10.234 * [backup-simplify]: Simplify (/ 1 1) into 1 10.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.234 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.234 * [taylor]: Taking taylor expansion of im in re 10.234 * [backup-simplify]: Simplify im into im 10.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.235 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.235 * [backup-simplify]: Simplify (+ 1 0) into 1 10.235 * [backup-simplify]: Simplify (sqrt 1) into 1 10.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.237 * [backup-simplify]: Simplify (+ 0 0) into 0 10.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.238 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.238 * [taylor]: Taking taylor expansion of re in re 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [backup-simplify]: Simplify (/ 1 1) into 1 10.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.238 * [taylor]: Taking taylor expansion of re in re 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 1 into 1 10.239 * [backup-simplify]: Simplify (* 1 1) into 1 10.239 * [backup-simplify]: Simplify (/ 1 1) into 1 10.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.239 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.239 * [taylor]: Taking taylor expansion of im in re 10.239 * [backup-simplify]: Simplify im into im 10.240 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.240 * [backup-simplify]: Simplify (+ 1 0) into 1 10.241 * [backup-simplify]: Simplify (sqrt 1) into 1 10.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.242 * [backup-simplify]: Simplify (+ 0 0) into 0 10.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.244 * [backup-simplify]: Simplify (+ 1 1) into 2 10.244 * [taylor]: Taking taylor expansion of 2 in im 10.244 * [backup-simplify]: Simplify 2 into 2 10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.245 * [backup-simplify]: Simplify (+ 0 0) into 0 10.245 * [taylor]: Taking taylor expansion of 0 in im 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 2 into 2 10.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.249 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 10.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.250 * [taylor]: Taking taylor expansion of 1/2 in im 10.250 * [backup-simplify]: Simplify 1/2 into 1/2 10.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.250 * [taylor]: Taking taylor expansion of im in im 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 1 into 1 10.250 * [backup-simplify]: Simplify (* 1 1) into 1 10.250 * [backup-simplify]: Simplify (/ 1 1) into 1 10.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.256 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.257 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [taylor]: Taking taylor expansion of 0 in im 10.257 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 10.261 * * * [progress]: simplifying candidates 10.262 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re)) (log (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (exp (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (cbrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (* (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (- (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3)) (+ (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (+ (* re re) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (- re) (- (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 10.265 * * [simplify]: iteration 0: 66 enodes 10.291 * * [simplify]: iteration 1: 155 enodes 10.362 * * [simplify]: iteration 2: 420 enodes 10.592 * * [simplify]: iteration 3: 1141 enodes 11.288 * * [simplify]: iteration 4: 3246 enodes 12.244 * * [simplify]: iteration complete: 5016 enodes 12.244 * * [simplify]: Extracting #0: cost 31 inf + 0 12.245 * * [simplify]: Extracting #1: cost 193 inf + 47 12.247 * * [simplify]: Extracting #2: cost 670 inf + 572 12.256 * * [simplify]: Extracting #3: cost 1046 inf + 11314 12.308 * * [simplify]: Extracting #4: cost 765 inf + 147334 12.376 * * [simplify]: Extracting #5: cost 230 inf + 407076 12.498 * * [simplify]: Extracting #6: cost 73 inf + 502674 12.605 * * [simplify]: Extracting #7: cost 35 inf + 521847 12.754 * * [simplify]: Extracting #8: cost 8 inf + 525993 12.924 * * [simplify]: Extracting #9: cost 0 inf + 528337 13.067 * [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 (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (+ (* 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 (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (+ (* 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 (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* re (* re re))) (+ (+ (* re re) (+ (* im im) (* re re))) (* (sqrt (+ (* im im) (* re re))) re)) (- re) (- (+ (* im im) (* re re)) (* re re)) (+ re (sqrt (+ (* im im) (* re re)))) (- re) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 13.087 * * * [progress]: adding candidates to table 13.592 * [progress]: [Phase 3 of 3] Extracting. 13.593 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 13.599 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 13.600 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 13.763 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 13.923 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 14.085 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 14.209 * * * [regime]: Found split indices: #