0.572 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
0.143 * * * [progress]: [2/2] Setting up program.
0.149 * [progress]: [Phase 2 of 3] Improving.
0.152 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.153 * * [simplify]: iteration 0: 12 enodes
0.163 * * [simplify]: iteration 1: 17 enodes
0.169 * * [simplify]: iteration 2: 24 enodes
0.178 * * [simplify]: iteration 3: 30 enodes
0.187 * * [simplify]: iteration 4: 35 enodes
0.196 * * [simplify]: iteration complete: 35 enodes
0.197 * * [simplify]: Extracting #0: cost 1 inf + 0
0.197 * * [simplify]: Extracting #1: cost 3 inf + 0
0.198 * * [simplify]: Extracting #2: cost 3 inf + 1
0.198 * * [simplify]: Extracting #3: cost 8 inf + 1
0.198 * * [simplify]: Extracting #4: cost 11 inf + 2
0.198 * * [simplify]: Extracting #5: cost 7 inf + 209
0.198 * * [simplify]: Extracting #6: cost 9 inf + 209
0.198 * * [simplify]: Extracting #7: cost 9 inf + 250
0.198 * * [simplify]: Extracting #8: cost 7 inf + 292
0.199 * * [simplify]: Extracting #9: cost 5 inf + 576
0.199 * * [simplify]: Extracting #10: cost 2 inf + 1224
0.200 * * [simplify]: Extracting #11: cost 0 inf + 1831
0.641 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.645 * * [progress]: iteration 1 / 4
0.645 * * * [progress]: picking best candidate
0.655 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.656 * * * [progress]: localizing error
0.694 * * * [progress]: generating rewritten candidates
0.694 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.710 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.774 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1)
0.804 * * * [progress]: generating series expansions
0.805 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.813 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.814 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.815 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.815 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.815 * [taylor]: Taking taylor expansion of im in im
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify 1 into 1
0.815 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.815 * [taylor]: Taking taylor expansion of re in im
0.815 * [backup-simplify]: Simplify re into re
0.816 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.817 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.817 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.817 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.818 * [backup-simplify]: Simplify (+ 0 0) into 0
0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.818 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.818 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.818 * [taylor]: Taking taylor expansion of im in re
0.818 * [backup-simplify]: Simplify im into im
0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.818 * [taylor]: Taking taylor expansion of re in re
0.818 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 1 into 1
0.819 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.819 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.819 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.819 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.819 * [backup-simplify]: Simplify (+ 0 0) into 0
0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.820 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.820 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.820 * [taylor]: Taking taylor expansion of im in re
0.820 * [backup-simplify]: Simplify im into im
0.820 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.820 * [taylor]: Taking taylor expansion of re in re
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 1 into 1
0.820 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.820 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.820 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.820 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.821 * [backup-simplify]: Simplify (+ 0 0) into 0
0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.821 * [taylor]: Taking taylor expansion of im in im
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [taylor]: Taking taylor expansion of 0 in im
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.823 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.824 * [backup-simplify]: Simplify (* 1 1) into 1
0.824 * [backup-simplify]: Simplify (+ 0 1) into 1
0.825 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.825 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.825 * [taylor]: Taking taylor expansion of 1/2 in im
0.825 * [backup-simplify]: Simplify 1/2 into 1/2
0.825 * [taylor]: Taking taylor expansion of im in im
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify 1 into 1
0.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.829 * [backup-simplify]: Simplify (+ 0 0) into 0
0.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.829 * [taylor]: Taking taylor expansion of 0 in im
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.831 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.831 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.831 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.831 * [taylor]: Taking taylor expansion of re in im
0.831 * [backup-simplify]: Simplify re into re
0.831 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.832 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.832 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.832 * [taylor]: Taking taylor expansion of im in im
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.832 * [backup-simplify]: Simplify (* 1 1) into 1
0.832 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [backup-simplify]: Simplify (+ 0 1) into 1
0.833 * [backup-simplify]: Simplify (sqrt 1) into 1
0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ 0 0) into 0
0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.836 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.836 * [taylor]: Taking taylor expansion of re in re
0.837 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify (* 1 1) into 1
0.837 * [backup-simplify]: Simplify (/ 1 1) into 1
0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.837 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.837 * [taylor]: Taking taylor expansion of im in re
0.837 * [backup-simplify]: Simplify im into im
0.837 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.838 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.838 * [backup-simplify]: Simplify (+ 1 0) into 1
0.838 * [backup-simplify]: Simplify (sqrt 1) into 1
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify (+ 0 0) into 0
0.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.841 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.841 * [taylor]: Taking taylor expansion of re in re
0.841 * [backup-simplify]: Simplify 0 into 0
0.841 * [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
0.842 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.842 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.843 * [backup-simplify]: Simplify (+ 1 0) into 1
0.844 * [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))
0.850 * [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
0.851 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.852 * [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
0.853 * [backup-simplify]: Simplify 0 into 0
0.854 * [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
0.855 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.855 * [backup-simplify]: Simplify (+ 0 0) into 0
0.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.856 * [taylor]: Taking taylor expansion of 0 in im
0.856 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.859 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.859 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.859 * [taylor]: Taking taylor expansion of re in im
0.859 * [backup-simplify]: Simplify re into re
0.859 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.859 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.859 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.859 * [taylor]: Taking taylor expansion of im in im
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (* 1 1) into 1
0.860 * [backup-simplify]: Simplify (/ 1 1) into 1
0.861 * [backup-simplify]: Simplify (+ 0 1) into 1
0.861 * [backup-simplify]: Simplify (sqrt 1) into 1
0.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (+ 0 0) into 0
0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.864 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.864 * [taylor]: Taking taylor expansion of re in re
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [backup-simplify]: Simplify 1 into 1
0.864 * [backup-simplify]: Simplify (* 1 1) into 1
0.865 * [backup-simplify]: Simplify (/ 1 1) into 1
0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.865 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.865 * [taylor]: Taking taylor expansion of im in re
0.865 * [backup-simplify]: Simplify im into im
0.865 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.865 * [backup-simplify]: Simplify (+ 1 0) into 1
0.866 * [backup-simplify]: Simplify (sqrt 1) into 1
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (+ 0 0) into 0
0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.868 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.868 * [taylor]: Taking taylor expansion of re in re
0.868 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify 1 into 1
0.869 * [backup-simplify]: Simplify (* 1 1) into 1
0.869 * [backup-simplify]: Simplify (/ 1 1) into 1
0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.869 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.869 * [taylor]: Taking taylor expansion of im in re
0.869 * [backup-simplify]: Simplify im into im
0.869 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.870 * [backup-simplify]: Simplify (+ 1 0) into 1
0.871 * [backup-simplify]: Simplify (sqrt 1) into 1
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.872 * [backup-simplify]: Simplify (+ 0 0) into 0
0.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.873 * [taylor]: Taking taylor expansion of 1 in im
0.873 * [backup-simplify]: Simplify 1 into 1
0.873 * [taylor]: Taking taylor expansion of 0 in im
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 1 into 1
0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.875 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.877 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.877 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.877 * [taylor]: Taking taylor expansion of 1/2 in im
0.877 * [backup-simplify]: Simplify 1/2 into 1/2
0.877 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.877 * [taylor]: Taking taylor expansion of im in im
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify 1 into 1
0.877 * [backup-simplify]: Simplify (* 1 1) into 1
0.878 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.882 * [backup-simplify]: Simplify (+ 0 0) into 0
0.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.883 * [taylor]: Taking taylor expansion of 0 in im
0.883 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.885 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.886 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
0.886 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
0.886 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.886 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.886 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.886 * [taylor]: Taking taylor expansion of im in im
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.886 * [taylor]: Taking taylor expansion of re in im
0.886 * [backup-simplify]: Simplify re into re
0.886 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.886 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.886 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.886 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.887 * [backup-simplify]: Simplify (+ 0 0) into 0
0.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.887 * [taylor]: Taking taylor expansion of re in im
0.887 * [backup-simplify]: Simplify re into re
0.887 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.887 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.887 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.887 * [taylor]: Taking taylor expansion of im in re
0.887 * [backup-simplify]: Simplify im into im
0.887 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.887 * [taylor]: Taking taylor expansion of re in re
0.887 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify 1 into 1
0.887 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.888 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.888 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.888 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.888 * [backup-simplify]: Simplify (+ 0 0) into 0
0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.888 * [taylor]: Taking taylor expansion of re in re
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 1 into 1
0.888 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.888 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.888 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.888 * [taylor]: Taking taylor expansion of im in re
0.889 * [backup-simplify]: Simplify im into im
0.889 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.889 * [taylor]: Taking taylor expansion of re in re
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify 1 into 1
0.889 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.889 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.889 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.889 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.889 * [backup-simplify]: Simplify (+ 0 0) into 0
0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.890 * [taylor]: Taking taylor expansion of re in re
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 1 into 1
0.890 * [backup-simplify]: Simplify (- 0) into 0
0.890 * [backup-simplify]: Simplify (+ im 0) into 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 0 into 0
0.891 * [backup-simplify]: Simplify (- 1) into -1
0.891 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.891 * [taylor]: Taking taylor expansion of -1 in im
0.891 * [backup-simplify]: Simplify -1 into -1
0.891 * [backup-simplify]: Simplify -1 into -1
0.891 * [backup-simplify]: Simplify 1 into 1
0.892 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.892 * [backup-simplify]: Simplify (* 1 1) into 1
0.892 * [backup-simplify]: Simplify (+ 0 1) into 1
0.893 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.894 * [backup-simplify]: Simplify (- 0) into 0
0.894 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.894 * [taylor]: Taking taylor expansion of 1/2 in im
0.894 * [backup-simplify]: Simplify 1/2 into 1/2
0.894 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.894 * [taylor]: Taking taylor expansion of im in im
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify 1 into 1
0.895 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.897 * [backup-simplify]: Simplify (+ (* 1/2 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 0 into 0
0.898 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.899 * [backup-simplify]: Simplify (+ 0 0) into 0
0.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.899 * [backup-simplify]: Simplify (- 0) into 0
0.900 * [backup-simplify]: Simplify (+ 0 0) into 0
0.900 * [taylor]: Taking taylor expansion of 0 in im
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 0 into 0
0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.902 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.902 * [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))
0.902 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.902 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.903 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.903 * [taylor]: Taking taylor expansion of re in im
0.903 * [backup-simplify]: Simplify re into re
0.903 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.903 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.903 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.903 * [taylor]: Taking taylor expansion of im in im
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 1 into 1
0.903 * [backup-simplify]: Simplify (* 1 1) into 1
0.904 * [backup-simplify]: Simplify (/ 1 1) into 1
0.904 * [backup-simplify]: Simplify (+ 0 1) into 1
0.905 * [backup-simplify]: Simplify (sqrt 1) into 1
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (+ 0 0) into 0
0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.907 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.907 * [taylor]: Taking taylor expansion of re in im
0.907 * [backup-simplify]: Simplify re into re
0.907 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
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
0.908 * [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)
0.909 * [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
0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.911 * [backup-simplify]: Simplify (+ 0 0) into 0
0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.912 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.912 * [taylor]: Taking taylor expansion of re in re
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 1 into 1
0.912 * [backup-simplify]: Simplify (/ 1 1) into 1
0.912 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.912 * [taylor]: Taking taylor expansion of re in re
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 1 into 1
0.913 * [backup-simplify]: Simplify (* 1 1) into 1
0.913 * [backup-simplify]: Simplify (/ 1 1) into 1
0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.913 * [taylor]: Taking taylor expansion of im in re
0.913 * [backup-simplify]: Simplify im into im
0.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.914 * [backup-simplify]: Simplify (+ 1 0) into 1
0.914 * [backup-simplify]: Simplify (sqrt 1) into 1
0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.916 * [backup-simplify]: Simplify (+ 0 0) into 0
0.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.917 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.917 * [taylor]: Taking taylor expansion of re in re
0.917 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify 1 into 1
0.917 * [backup-simplify]: Simplify (/ 1 1) into 1
0.918 * [backup-simplify]: Simplify (- 1) into -1
0.918 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.918 * [taylor]: Taking taylor expansion of 0 in im
0.918 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.919 * [backup-simplify]: Simplify (- 0) into 0
0.920 * [backup-simplify]: Simplify (+ 0 0) into 0
0.920 * [taylor]: Taking taylor expansion of 0 in im
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.922 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.923 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.924 * [backup-simplify]: Simplify (- 0) into 0
0.925 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.925 * [taylor]: Taking taylor expansion of 1/2 in im
0.925 * [backup-simplify]: Simplify 1/2 into 1/2
0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.925 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.925 * [taylor]: Taking taylor expansion of im in im
0.925 * [backup-simplify]: Simplify 0 into 0
0.925 * [backup-simplify]: Simplify 1 into 1
0.925 * [backup-simplify]: Simplify (* 1 1) into 1
0.926 * [backup-simplify]: Simplify (/ 1 1) into 1
0.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.931 * [backup-simplify]: Simplify (+ 0 0) into 0
0.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.933 * [backup-simplify]: Simplify (- 0) into 0
0.933 * [backup-simplify]: Simplify (+ 0 0) into 0
0.933 * [taylor]: Taking taylor expansion of 0 in im
0.933 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 0 into 0
0.937 * [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)))))
0.937 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.937 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.937 * [taylor]: Taking taylor expansion of re in im
0.937 * [backup-simplify]: Simplify re into re
0.937 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.937 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.937 * [taylor]: Taking taylor expansion of re in im
0.937 * [backup-simplify]: Simplify re into re
0.937 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.937 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.937 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.937 * [taylor]: Taking taylor expansion of im in im
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 1 into 1
0.938 * [backup-simplify]: Simplify (* 1 1) into 1
0.938 * [backup-simplify]: Simplify (/ 1 1) into 1
0.939 * [backup-simplify]: Simplify (+ 0 1) into 1
0.939 * [backup-simplify]: Simplify (sqrt 1) into 1
0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.941 * [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
0.942 * [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
0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.953 * [backup-simplify]: Simplify (+ 0 0) into 0
0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.954 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.954 * [taylor]: Taking taylor expansion of re in re
0.954 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify (/ 1 1) into 1
0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.955 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.955 * [taylor]: Taking taylor expansion of re in re
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify (* 1 1) into 1
0.955 * [backup-simplify]: Simplify (/ 1 1) into 1
0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.955 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.955 * [taylor]: Taking taylor expansion of im in re
0.955 * [backup-simplify]: Simplify im into im
0.955 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.956 * [backup-simplify]: Simplify (+ 1 0) into 1
0.956 * [backup-simplify]: Simplify (sqrt 1) into 1
0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.957 * [backup-simplify]: Simplify (+ 0 0) into 0
0.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.958 * [backup-simplify]: Simplify (+ 1 1) into 2
0.958 * [taylor]: Taking taylor expansion of 2 in im
0.958 * [backup-simplify]: Simplify 2 into 2
0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.959 * [backup-simplify]: Simplify (+ 0 0) into 0
0.959 * [taylor]: Taking taylor expansion of 0 in im
0.959 * [backup-simplify]: Simplify 0 into 0
0.959 * [backup-simplify]: Simplify 2 into 2
0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.960 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.961 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.961 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.961 * [taylor]: Taking taylor expansion of 1/2 in im
0.961 * [backup-simplify]: Simplify 1/2 into 1/2
0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.961 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.961 * [taylor]: Taking taylor expansion of im in im
0.961 * [backup-simplify]: Simplify 0 into 0
0.961 * [backup-simplify]: Simplify 1 into 1
0.962 * [backup-simplify]: Simplify (* 1 1) into 1
0.962 * [backup-simplify]: Simplify (/ 1 1) into 1
0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.965 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.965 * [backup-simplify]: Simplify (+ 0 0) into 0
0.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.966 * [backup-simplify]: Simplify (+ 0 0) into 0
0.966 * [taylor]: Taking taylor expansion of 0 in im
0.966 * [backup-simplify]: Simplify 0 into 0
0.967 * [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)
0.968 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1)
0.968 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.968 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.968 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.968 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.968 * [taylor]: Taking taylor expansion of im in im
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify 1 into 1
0.968 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.968 * [taylor]: Taking taylor expansion of re in im
0.968 * [backup-simplify]: Simplify re into re
0.968 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.968 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.968 * [taylor]: Taking taylor expansion of im in re
0.968 * [backup-simplify]: Simplify im into im
0.968 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.968 * [taylor]: Taking taylor expansion of re in re
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify 1 into 1
0.968 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.968 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.968 * [taylor]: Taking taylor expansion of im in re
0.968 * [backup-simplify]: Simplify im into im
0.968 * [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 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.969 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
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 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.969 * [backup-simplify]: Simplify (+ 0 0) into 0
0.969 * [taylor]: Taking taylor expansion of 0 in im
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.970 * [backup-simplify]: Simplify (* 1 1) into 1
0.970 * [backup-simplify]: Simplify (+ 0 1) into 1
0.970 * [taylor]: Taking taylor expansion of 1 in im
0.970 * [backup-simplify]: Simplify 1 into 1
0.970 * [backup-simplify]: Simplify 1 into 1
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify (* 1 1) into 1
0.970 * [backup-simplify]: Simplify 1 into 1
0.971 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.971 * [backup-simplify]: Simplify (+ 0 0) into 0
0.972 * [taylor]: Taking taylor expansion of 0 in im
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.972 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.974 * [backup-simplify]: Simplify (+ 0 0) into 0
0.974 * [taylor]: Taking taylor expansion of 0 in im
0.974 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.974 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.974 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.974 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.974 * [taylor]: Taking taylor expansion of re in im
0.974 * [backup-simplify]: Simplify re into re
0.974 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.974 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.974 * [taylor]: Taking taylor expansion of im in im
0.974 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify 1 into 1
0.975 * [backup-simplify]: Simplify (* 1 1) into 1
0.975 * [backup-simplify]: Simplify (/ 1 1) into 1
0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.975 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.975 * [taylor]: Taking taylor expansion of re in re
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 1 into 1
0.975 * [backup-simplify]: Simplify (* 1 1) into 1
0.976 * [backup-simplify]: Simplify (/ 1 1) into 1
0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.976 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.976 * [taylor]: Taking taylor expansion of im in re
0.976 * [backup-simplify]: Simplify im into im
0.976 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.976 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.976 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.976 * [taylor]: Taking taylor expansion of re in re
0.976 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify 1 into 1
0.976 * [backup-simplify]: Simplify (* 1 1) into 1
0.976 * [backup-simplify]: Simplify (/ 1 1) into 1
0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.976 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.976 * [taylor]: Taking taylor expansion of im in re
0.976 * [backup-simplify]: Simplify im into im
0.976 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.977 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.977 * [backup-simplify]: Simplify (+ 1 0) into 1
0.977 * [taylor]: Taking taylor expansion of 1 in im
0.977 * [backup-simplify]: Simplify 1 into 1
0.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.978 * [backup-simplify]: Simplify (+ 0 0) into 0
0.978 * [taylor]: Taking taylor expansion of 0 in im
0.978 * [backup-simplify]: Simplify 0 into 0
0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.979 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 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
0.980 * [backup-simplify]: Simplify (/ 1 1) into 1
0.980 * [backup-simplify]: Simplify 1 into 1
0.980 * [backup-simplify]: Simplify 1 into 1
0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.982 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.982 * [backup-simplify]: Simplify (+ 0 0) into 0
0.982 * [taylor]: Taking taylor expansion of 0 in im
0.982 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.985 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) 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
0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.987 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.987 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.987 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.987 * [taylor]: Taking taylor expansion of re in im
0.987 * [backup-simplify]: Simplify re into re
0.987 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.987 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 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
0.987 * [backup-simplify]: Simplify (* 1 1) into 1
0.988 * [backup-simplify]: Simplify (/ 1 1) into 1
0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.988 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.988 * [taylor]: Taking taylor expansion of re in re
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.988 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.988 * [taylor]: Taking taylor expansion of im in re
0.988 * [backup-simplify]: Simplify im into im
0.988 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.989 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.989 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.989 * [taylor]: Taking taylor expansion of re in re
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify 1 into 1
0.989 * [backup-simplify]: Simplify (* 1 1) into 1
0.989 * [backup-simplify]: Simplify (/ 1 1) into 1
0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.989 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.989 * [taylor]: Taking taylor expansion of im in re
0.989 * [backup-simplify]: Simplify im into im
0.989 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.989 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.990 * [backup-simplify]: Simplify (+ 1 0) into 1
0.990 * [taylor]: Taking taylor expansion of 1 in im
0.990 * [backup-simplify]: Simplify 1 into 1
0.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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
0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.992 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.992 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.992 * [taylor]: Taking taylor expansion of im in im
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify 1 into 1
0.992 * [backup-simplify]: Simplify (* 1 1) into 1
0.993 * [backup-simplify]: Simplify (/ 1 1) into 1
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [backup-simplify]: Simplify 1 into 1
0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.995 * [backup-simplify]: Simplify (+ 0 0) into 0
0.995 * [taylor]: Taking taylor expansion of 0 in im
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.998 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.998 * [backup-simplify]: Simplify (+ 0 0) into 0
0.998 * [taylor]: Taking taylor expansion of 0 in im
0.998 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
1.000 * * * [progress]: simplifying candidates
1.001 * [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))
1.001 * * [simplify]: iteration 0: 74 enodes
1.017 * * [simplify]: iteration 1: 174 enodes
1.108 * * [simplify]: iteration 2: 493 enodes
1.378 * * [simplify]: iteration 3: 2011 enodes
2.406 * * [simplify]: iteration complete: 5001 enodes
2.406 * * [simplify]: Extracting #0: cost 44 inf + 0
2.407 * * [simplify]: Extracting #1: cost 263 inf + 5
2.414 * * [simplify]: Extracting #2: cost 1131 inf + 3065
2.440 * * [simplify]: Extracting #3: cost 1171 inf + 66775
2.526 * * [simplify]: Extracting #4: cost 349 inf + 244933
2.640 * * [simplify]: Extracting #5: cost 83 inf + 325702
2.737 * * [simplify]: Extracting #6: cost 16 inf + 337254
2.837 * * [simplify]: Extracting #7: cost 0 inf + 341742
2.951 * [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))
2.955 * * * [progress]: adding candidates to table
3.232 * * [progress]: iteration 2 / 4
3.232 * * * [progress]: picking best candidate
3.251 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.251 * * * [progress]: localizing error
3.301 * * * [progress]: generating rewritten candidates
3.301 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1)
3.314 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
3.383 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
3.428 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2)
3.460 * * * [progress]: generating series expansions
3.460 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1)
3.461 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.461 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.461 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.461 * [taylor]: Taking taylor expansion of (pow im 2) in im
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
3.461 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.461 * [taylor]: Taking taylor expansion of re in im
3.461 * [backup-simplify]: Simplify re into re
3.461 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.461 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.461 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.461 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.462 * [backup-simplify]: Simplify (+ 0 0) into 0
3.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.462 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.462 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.462 * [taylor]: Taking taylor expansion of im in re
3.462 * [backup-simplify]: Simplify im into im
3.462 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.462 * [taylor]: Taking taylor expansion of re in re
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 1 into 1
3.462 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.462 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.462 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.462 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.462 * [backup-simplify]: Simplify (+ 0 0) into 0
3.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.463 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.463 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.463 * [taylor]: Taking taylor expansion of im in re
3.463 * [backup-simplify]: Simplify im into im
3.463 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.463 * [taylor]: Taking taylor expansion of re in re
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.463 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.463 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.463 * [backup-simplify]: Simplify (+ 0 0) into 0
3.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.463 * [taylor]: Taking taylor expansion of im in im
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify 0 into 0
3.464 * [taylor]: Taking taylor expansion of 0 in im
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.464 * [backup-simplify]: Simplify (* 1 1) into 1
3.464 * [backup-simplify]: Simplify (+ 0 1) into 1
3.465 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.465 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.465 * [taylor]: Taking taylor expansion of 1/2 in im
3.465 * [backup-simplify]: Simplify 1/2 into 1/2
3.465 * [taylor]: Taking taylor expansion of im in im
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0
3.467 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.467 * [backup-simplify]: Simplify (+ 0 0) into 0
3.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.468 * [taylor]: Taking taylor expansion of 0 in im
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.469 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.469 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.469 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.469 * [taylor]: Taking taylor expansion of re in im
3.469 * [backup-simplify]: Simplify re into re
3.469 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.469 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.469 * [taylor]: Taking taylor expansion of im in im
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [backup-simplify]: Simplify (* 1 1) into 1
3.469 * [backup-simplify]: Simplify (/ 1 1) into 1
3.470 * [backup-simplify]: Simplify (+ 0 1) into 1
3.470 * [backup-simplify]: Simplify (sqrt 1) into 1
3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.471 * [backup-simplify]: Simplify (+ 0 0) into 0
3.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.472 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.472 * [taylor]: Taking taylor expansion of re in re
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify 1 into 1
3.472 * [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
3.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.474 * [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
3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.475 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.475 * [taylor]: Taking taylor expansion of re in re
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [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
3.476 * [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
3.477 * [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
3.481 * [backup-simplify]: Simplify 1 into 1
3.481 * [taylor]: Taking taylor expansion of 0 in im
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 1 into 1
3.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.483 * [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
3.485 * [backup-simplify]: Simplify (* 1 1) into 1
3.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.489 * [backup-simplify]: Simplify (+ 0 0) into 0
3.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.490 * [taylor]: Taking taylor expansion of 0 in im
3.490 * [backup-simplify]: Simplify 0 into 0
3.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.493 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.493 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.493 * [taylor]: Taking taylor expansion of re in im
3.493 * [backup-simplify]: Simplify re into re
3.493 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.493 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.493 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.493 * [taylor]: Taking taylor expansion of im in im
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 1 into 1
3.493 * [backup-simplify]: Simplify (* 1 1) into 1
3.494 * [backup-simplify]: Simplify (/ 1 1) into 1
3.494 * [backup-simplify]: Simplify (+ 0 1) into 1
3.495 * [backup-simplify]: Simplify (sqrt 1) into 1
3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.496 * [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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.497 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.497 * [taylor]: Taking taylor expansion of re in re
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (* 1 1) into 1
3.498 * [backup-simplify]: Simplify (/ 1 1) into 1
3.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.498 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.498 * [taylor]: Taking taylor expansion of im in re
3.498 * [backup-simplify]: Simplify im into im
3.498 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.499 * [backup-simplify]: Simplify (+ 1 0) into 1
3.499 * [backup-simplify]: Simplify (sqrt 1) into 1
3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (+ 0 0) into 0
3.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.502 * [taylor]: Taking taylor expansion of re in re
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (* 1 1) into 1
3.503 * [backup-simplify]: Simplify (/ 1 1) into 1
3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.503 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.503 * [taylor]: Taking taylor expansion of im in re
3.503 * [backup-simplify]: Simplify im into im
3.503 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.504 * [backup-simplify]: Simplify (+ 1 0) into 1
3.504 * [backup-simplify]: Simplify (sqrt 1) into 1
3.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.507 * [taylor]: Taking taylor expansion of 1 in im
3.507 * [backup-simplify]: Simplify 1 into 1
3.507 * [taylor]: Taking taylor expansion of 0 in im
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 1 into 1
3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.509 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.510 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.510 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.510 * [taylor]: Taking taylor expansion of 1/2 in im
3.510 * [backup-simplify]: Simplify 1/2 into 1/2
3.511 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.511 * [taylor]: Taking taylor expansion of im in im
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (* 1 1) into 1
3.511 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.515 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.516 * [backup-simplify]: Simplify (+ 0 0) into 0
3.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.516 * [taylor]: Taking taylor expansion of 0 in im
3.516 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.519 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
3.519 * [backup-simplify]: Simplify (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2)))))
3.519 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0
3.519 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
3.519 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.519 * [taylor]: Taking taylor expansion of im in re
3.519 * [backup-simplify]: Simplify im into im
3.519 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (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
3.519 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.519 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.519 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.519 * [taylor]: Taking taylor expansion of im in re
3.520 * [backup-simplify]: Simplify im into im
3.520 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.520 * [taylor]: Taking taylor expansion of re in re
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 1 into 1
3.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.520 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.520 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.521 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.521 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.521 * [backup-simplify]: Simplify (+ 0 im) into im
3.521 * [backup-simplify]: Simplify (/ (pow im 2) im) into im
3.521 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
3.521 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.521 * [taylor]: Taking taylor expansion of im in im
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.521 * [taylor]: Taking taylor expansion of re in im
3.521 * [backup-simplify]: Simplify re into re
3.521 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.521 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.521 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.521 * [taylor]: Taking taylor expansion of im in im
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.521 * [taylor]: Taking taylor expansion of re in im
3.521 * [backup-simplify]: Simplify re into re
3.522 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.522 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.522 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.522 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.522 * [backup-simplify]: Simplify (+ 0 0) into 0
3.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.523 * [backup-simplify]: Simplify (* 1 1) into 1
3.523 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.523 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
3.523 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
3.523 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.523 * [taylor]: Taking taylor expansion of im in im
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.523 * [taylor]: Taking taylor expansion of re in im
3.523 * [backup-simplify]: Simplify re into re
3.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.523 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.523 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.523 * [taylor]: Taking taylor expansion of im in im
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.523 * [taylor]: Taking taylor expansion of re in im
3.523 * [backup-simplify]: Simplify re into re
3.523 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.524 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.524 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.524 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.524 * [backup-simplify]: Simplify (+ 0 0) into 0
3.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.525 * [backup-simplify]: Simplify (* 1 1) into 1
3.525 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.525 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
3.525 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
3.525 * [taylor]: Taking taylor expansion of 1/2 in re
3.525 * [backup-simplify]: Simplify 1/2 into 1/2
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
3.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.526 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.527 * [backup-simplify]: Simplify (+ 0 0) into 0
3.528 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
3.528 * [taylor]: Taking taylor expansion of 0 in re
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.529 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.530 * [backup-simplify]: Simplify (* 1 1) into 1
3.530 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.531 * [backup-simplify]: Simplify (+ 1 0) into 1
3.532 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.532 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
3.532 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
3.532 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re
3.532 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re
3.532 * [taylor]: Taking taylor expansion of 1/8 in re
3.532 * [backup-simplify]: Simplify 1/8 into 1/8
3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
3.532 * [taylor]: Taking taylor expansion of (pow re 3) in re
3.532 * [taylor]: Taking taylor expansion of re in re
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 1 into 1
3.533 * [backup-simplify]: Simplify (* 1 1) into 1
3.534 * [backup-simplify]: Simplify (* 1 1) into 1
3.534 * [backup-simplify]: Simplify (/ 1 1) into 1
3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.543 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 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
3.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify (/ (+ (* (/ 1 im) (/ 1 im)) 0) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)))
3.547 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0
3.547 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re
3.547 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re
3.547 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.547 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.548 * [taylor]: Taking taylor expansion of re in re
3.548 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify 1 into 1
3.548 * [backup-simplify]: Simplify (/ 1 1) into 1
3.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.548 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.548 * [taylor]: Taking taylor expansion of re in re
3.548 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify 1 into 1
3.549 * [backup-simplify]: Simplify (* 1 1) into 1
3.549 * [backup-simplify]: Simplify (/ 1 1) into 1
3.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.549 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.549 * [taylor]: Taking taylor expansion of im in re
3.549 * [backup-simplify]: Simplify im into im
3.549 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.549 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.550 * [backup-simplify]: Simplify (+ 1 0) into 1
3.550 * [backup-simplify]: Simplify (sqrt 1) into 1
3.551 * [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 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.553 * [taylor]: Taking taylor expansion of im in re
3.553 * [backup-simplify]: Simplify im into im
3.553 * [backup-simplify]: Simplify (+ 1 1) into 2
3.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.554 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2))
3.554 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2))
3.554 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im
3.554 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im
3.554 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.554 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.554 * [taylor]: Taking taylor expansion of re in im
3.554 * [backup-simplify]: Simplify re into re
3.554 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.554 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.554 * [taylor]: Taking taylor expansion of re in im
3.554 * [backup-simplify]: Simplify re into re
3.554 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.554 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.554 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.554 * [taylor]: Taking taylor expansion of im in im
3.554 * [backup-simplify]: Simplify 0 into 0
3.554 * [backup-simplify]: Simplify 1 into 1
3.555 * [backup-simplify]: Simplify (* 1 1) into 1
3.555 * [backup-simplify]: Simplify (/ 1 1) into 1
3.556 * [backup-simplify]: Simplify (+ 0 1) into 1
3.556 * [backup-simplify]: Simplify (sqrt 1) into 1
3.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify (+ 0 0) into 0
3.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.558 * [taylor]: Taking taylor expansion of im in im
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 1 into 1
3.559 * [backup-simplify]: Simplify (+ 0 1) into 1
3.559 * [backup-simplify]: Simplify (* 1 1) into 1
3.559 * [backup-simplify]: Simplify (* 1 1) into 1
3.560 * [backup-simplify]: Simplify (/ 1 1) into 1
3.560 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im
3.560 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im
3.560 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.560 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.560 * [taylor]: Taking taylor expansion of re in im
3.560 * [backup-simplify]: Simplify re into re
3.560 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.560 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.560 * [taylor]: Taking taylor expansion of re in im
3.560 * [backup-simplify]: Simplify re into re
3.560 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.561 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.561 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.561 * [taylor]: Taking taylor expansion of im in im
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 1 into 1
3.561 * [backup-simplify]: Simplify (* 1 1) into 1
3.561 * [backup-simplify]: Simplify (/ 1 1) into 1
3.562 * [backup-simplify]: Simplify (+ 0 1) into 1
3.562 * [backup-simplify]: Simplify (sqrt 1) into 1
3.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.564 * [backup-simplify]: Simplify (+ 0 0) into 0
3.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.565 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.565 * [taylor]: Taking taylor expansion of im in im
3.565 * [backup-simplify]: Simplify 0 into 0
3.565 * [backup-simplify]: Simplify 1 into 1
3.565 * [backup-simplify]: Simplify (+ 0 1) into 1
3.566 * [backup-simplify]: Simplify (* 1 1) into 1
3.566 * [backup-simplify]: Simplify (* 1 1) into 1
3.567 * [backup-simplify]: Simplify (/ 1 1) into 1
3.567 * [taylor]: Taking taylor expansion of 1 in re
3.567 * [backup-simplify]: Simplify 1 into 1
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.567 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
3.568 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re)
3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
3.568 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
3.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.568 * [taylor]: Taking taylor expansion of re in re
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.569 * [backup-simplify]: Simplify (/ 1 1) into 1
3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.571 * [backup-simplify]: Simplify (- 0) into 0
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 0 into 0
3.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.575 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.576 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.577 * [taylor]: Taking taylor expansion of 1/2 in re
3.577 * [backup-simplify]: Simplify 1/2 into 1/2
3.577 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.577 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.577 * [taylor]: Taking taylor expansion of re in re
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 1 into 1
3.577 * [backup-simplify]: Simplify (* 1 1) into 1
3.578 * [backup-simplify]: Simplify (/ 1 1) into 1
3.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
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
3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.584 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (- 0) into 0
3.585 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
3.586 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0
3.586 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.586 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.586 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.586 * [taylor]: Taking taylor expansion of im in re
3.586 * [backup-simplify]: Simplify im into im
3.586 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.587 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.587 * [taylor]: Taking taylor expansion of re in re
3.587 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify 1 into 1
3.587 * [backup-simplify]: Simplify (* 1 1) into 1
3.587 * [backup-simplify]: Simplify (/ 1 1) into 1
3.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.587 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.588 * [taylor]: Taking taylor expansion of im in re
3.588 * [backup-simplify]: Simplify im into im
3.588 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.588 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.588 * [backup-simplify]: Simplify (+ 1 0) into 1
3.589 * [backup-simplify]: Simplify (sqrt 1) into 1
3.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.590 * [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 (/ 1 re) 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
3.592 * [backup-simplify]: Simplify (/ 1 1) into 1
3.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.592 * [backup-simplify]: Simplify (- 1) into -1
3.593 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.593 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0
3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.594 * [backup-simplify]: Simplify (- 0) into 0
3.594 * [backup-simplify]: Simplify (+ 0 0) into 0
3.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.595 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0
3.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.600 * [backup-simplify]: Simplify (- 0) into 0
3.600 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.600 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.601 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2
3.602 * [backup-simplify]: Simplify (/ 1 1/2) into 2
3.602 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.602 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.602 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.602 * [taylor]: Taking taylor expansion of im in im
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 1 into 1
3.602 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.602 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.602 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.602 * [taylor]: Taking taylor expansion of re in im
3.602 * [backup-simplify]: Simplify re into re
3.602 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.602 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.602 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.602 * [taylor]: Taking taylor expansion of im in im
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 1 into 1
3.603 * [backup-simplify]: Simplify (* 1 1) into 1
3.603 * [backup-simplify]: Simplify (/ 1 1) into 1
3.604 * [backup-simplify]: Simplify (+ 0 1) into 1
3.604 * [backup-simplify]: Simplify (sqrt 1) into 1
3.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.606 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.607 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.607 * [taylor]: Taking taylor expansion of re in im
3.607 * [backup-simplify]: Simplify re into re
3.607 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.607 * [backup-simplify]: Simplify (* 1 1) into 1
3.607 * [backup-simplify]: Simplify (+ 1 0) into 1
3.608 * [backup-simplify]: Simplify (* 1 1) into 1
3.608 * [backup-simplify]: Simplify (/ 1 1) into 1
3.608 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.608 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.608 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.608 * [taylor]: Taking taylor expansion of im in im
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.609 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.609 * [taylor]: Taking taylor expansion of re in im
3.609 * [backup-simplify]: Simplify re into re
3.609 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.609 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.609 * [taylor]: Taking taylor expansion of im in im
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 1 into 1
3.609 * [backup-simplify]: Simplify (* 1 1) into 1
3.610 * [backup-simplify]: Simplify (/ 1 1) into 1
3.610 * [backup-simplify]: Simplify (+ 0 1) into 1
3.611 * [backup-simplify]: Simplify (sqrt 1) into 1
3.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.613 * [backup-simplify]: Simplify (+ 0 0) into 0
3.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.613 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.614 * [taylor]: Taking taylor expansion of re in im
3.614 * [backup-simplify]: Simplify re into re
3.614 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.614 * [backup-simplify]: Simplify (* 1 1) into 1
3.614 * [backup-simplify]: Simplify (+ 1 0) into 1
3.615 * [backup-simplify]: Simplify (* 1 1) into 1
3.615 * [backup-simplify]: Simplify (/ 1 1) into 1
3.615 * [taylor]: Taking taylor expansion of 1 in re
3.615 * [backup-simplify]: Simplify 1 into 1
3.615 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
3.616 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
3.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.617 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re))
3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
3.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.617 * [taylor]: Taking taylor expansion of re in re
3.617 * [backup-simplify]: Simplify 0 into 0
3.617 * [backup-simplify]: Simplify 1 into 1
3.617 * [backup-simplify]: Simplify (/ 1 1) into 1
3.617 * [backup-simplify]: Simplify 1 into 1
3.617 * [backup-simplify]: Simplify 1 into 1
3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.620 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.621 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.621 * [backup-simplify]: Simplify (- 0) into 0
3.622 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.623 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2)))
3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.624 * [taylor]: Taking taylor expansion of 1/2 in re
3.624 * [backup-simplify]: Simplify 1/2 into 1/2
3.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.624 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.624 * [taylor]: Taking taylor expansion of re in re
3.624 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify 1 into 1
3.624 * [backup-simplify]: Simplify (* 1 1) into 1
3.624 * [backup-simplify]: Simplify (/ 1 1) into 1
3.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.626 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (+ 0 0) into 0
3.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.632 * [backup-simplify]: Simplify (- 0) into 0
3.632 * [backup-simplify]: Simplify (+ 0 0) into 0
3.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0
3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
3.636 * [taylor]: Taking taylor expansion of 0 in re
3.636 * [backup-simplify]: Simplify 0 into 0
3.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.639 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im))
3.641 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
3.641 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))))
3.641 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0
3.641 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re
3.641 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
3.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.641 * [taylor]: Taking taylor expansion of 2.0 in re
3.641 * [backup-simplify]: Simplify 2.0 into 2.0
3.642 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.643 * [taylor]: Taking taylor expansion of im in re
3.643 * [backup-simplify]: Simplify im into im
3.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
3.643 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
3.643 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.643 * [taylor]: Taking taylor expansion of re in re
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify 1 into 1
3.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.643 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.643 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.643 * [taylor]: Taking taylor expansion of im in re
3.643 * [backup-simplify]: Simplify im into im
3.643 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.643 * [taylor]: Taking taylor expansion of re in re
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify 1 into 1
3.643 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.643 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.644 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.644 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.644 * [backup-simplify]: Simplify (+ 0 0) into 0
3.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.644 * [backup-simplify]: Simplify (+ 0 im) into im
3.644 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.644 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
3.645 * [backup-simplify]: Simplify (+ 1 0) into 1
3.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2)))
3.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3))))
3.645 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
3.645 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.646 * [taylor]: Taking taylor expansion of 2.0 in im
3.646 * [backup-simplify]: Simplify 2.0 into 2.0
3.646 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.647 * [taylor]: Taking taylor expansion of im in im
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
3.647 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
3.647 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.647 * [taylor]: Taking taylor expansion of re in im
3.647 * [backup-simplify]: Simplify re into re
3.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.647 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.647 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.647 * [taylor]: Taking taylor expansion of im in im
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.647 * [taylor]: Taking taylor expansion of re in im
3.647 * [backup-simplify]: Simplify re into re
3.647 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.647 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.648 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.648 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.648 * [backup-simplify]: Simplify (+ 0 0) into 0
3.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.648 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.648 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
3.648 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
3.649 * [backup-simplify]: Simplify (+ 0 0) into 0
3.649 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
3.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
3.649 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
3.649 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.649 * [taylor]: Taking taylor expansion of 2.0 in im
3.649 * [backup-simplify]: Simplify 2.0 into 2.0
3.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.650 * [taylor]: Taking taylor expansion of im in im
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 1 into 1
3.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
3.651 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
3.651 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.651 * [taylor]: Taking taylor expansion of re in im
3.651 * [backup-simplify]: Simplify re into re
3.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.651 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.651 * [taylor]: Taking taylor expansion of im in im
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 1 into 1
3.651 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.651 * [taylor]: Taking taylor expansion of re in im
3.651 * [backup-simplify]: Simplify re into re
3.651 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.651 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.651 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.651 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.652 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.652 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
3.652 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
3.653 * [backup-simplify]: Simplify (+ 0 0) into 0
3.653 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
3.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
3.653 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.654 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0
3.654 * [taylor]: Taking taylor expansion of 0 in re
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
3.657 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re)))
3.657 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re
3.657 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re
3.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.658 * [taylor]: Taking taylor expansion of 2.0 in re
3.658 * [backup-simplify]: Simplify 2.0 into 2.0
3.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.659 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
3.659 * [taylor]: Taking taylor expansion of 1/2 in re
3.659 * [backup-simplify]: Simplify 1/2 into 1/2
3.659 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
3.660 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re
3.660 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.660 * [taylor]: Taking taylor expansion of re in re
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.660 * [backup-simplify]: Simplify (/ 1 1) into 1
3.661 * [backup-simplify]: Simplify (sqrt 0) into 0
3.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.664 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2))
3.665 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0
3.669 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
3.672 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
3.672 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify (* 1 1) into 1
3.673 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.673 * [backup-simplify]: Simplify (+ 1 0) into 1
3.674 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.674 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
3.675 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
3.676 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))
3.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.678 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
3.681 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0
3.681 * [taylor]: Taking taylor expansion of 0 in re
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.685 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
3.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.688 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
3.692 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
3.698 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
3.698 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.699 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.700 * [backup-simplify]: Simplify (+ 0 0) into 0
3.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.700 * [backup-simplify]: Simplify (+ 0 0) into 0
3.701 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0
3.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0
3.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.705 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))))
3.709 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re
3.709 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re
3.709 * [taylor]: Taking taylor expansion of 1/16 in re
3.709 * [backup-simplify]: Simplify 1/16 into 1/16
3.709 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re
3.709 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re
3.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.709 * [taylor]: Taking taylor expansion of 2.0 in re
3.709 * [backup-simplify]: Simplify 2.0 into 2.0
3.709 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.710 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
3.710 * [taylor]: Taking taylor expansion of 1/2 in re
3.710 * [backup-simplify]: Simplify 1/2 into 1/2
3.710 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
3.713 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2))
3.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re
3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re
3.713 * [taylor]: Taking taylor expansion of (pow re 5) in re
3.713 * [taylor]: Taking taylor expansion of re in re
3.713 * [backup-simplify]: Simplify 0 into 0
3.713 * [backup-simplify]: Simplify 1 into 1
3.713 * [backup-simplify]: Simplify (* 1 1) into 1
3.713 * [backup-simplify]: Simplify (* 1 1) into 1
3.714 * [backup-simplify]: Simplify (* 1 1) into 1
3.714 * [backup-simplify]: Simplify (/ 1 1) into 1
3.715 * [backup-simplify]: Simplify (sqrt 0) into 0
3.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.727 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.732 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0
3.733 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.734 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
3.735 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
3.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
3.737 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
3.740 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
3.742 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
3.745 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
3.745 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0
3.750 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
3.752 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
3.754 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
3.760 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))
3.761 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 im) (/ 1 im)) 0) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
3.761 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
3.761 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
3.761 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
3.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.761 * [taylor]: Taking taylor expansion of 2.0 in re
3.761 * [backup-simplify]: Simplify 2.0 into 2.0
3.761 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.762 * [taylor]: Taking taylor expansion of im in re
3.762 * [backup-simplify]: Simplify im into im
3.762 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
3.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
3.762 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.762 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.762 * [taylor]: Taking taylor expansion of re in re
3.762 * [backup-simplify]: Simplify 0 into 0
3.762 * [backup-simplify]: Simplify 1 into 1
3.762 * [backup-simplify]: Simplify (/ 1 1) into 1
3.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.762 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.762 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.762 * [taylor]: Taking taylor expansion of re in re
3.762 * [backup-simplify]: Simplify 0 into 0
3.762 * [backup-simplify]: Simplify 1 into 1
3.763 * [backup-simplify]: Simplify (* 1 1) into 1
3.763 * [backup-simplify]: Simplify (/ 1 1) into 1
3.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.763 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.763 * [taylor]: Taking taylor expansion of im in re
3.763 * [backup-simplify]: Simplify im into im
3.763 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.763 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.763 * [backup-simplify]: Simplify (+ 1 0) into 1
3.764 * [backup-simplify]: Simplify (sqrt 1) into 1
3.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.765 * [backup-simplify]: Simplify (+ 0 0) into 0
3.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.765 * [backup-simplify]: Simplify (+ 1 1) into 2
3.766 * [backup-simplify]: Simplify (/ 1 2) into 1/2
3.766 * [backup-simplify]: Simplify (sqrt 0) into 0
3.767 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
3.767 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
3.767 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.767 * [taylor]: Taking taylor expansion of 2.0 in im
3.767 * [backup-simplify]: Simplify 2.0 into 2.0
3.767 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.767 * [taylor]: Taking taylor expansion of im in im
3.767 * [backup-simplify]: Simplify 0 into 0
3.767 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
3.768 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.768 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.768 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.768 * [taylor]: Taking taylor expansion of re in im
3.768 * [backup-simplify]: Simplify re into re
3.768 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.768 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.768 * [taylor]: Taking taylor expansion of re in im
3.768 * [backup-simplify]: Simplify re into re
3.768 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.768 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.768 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.769 * [taylor]: Taking taylor expansion of im in im
3.769 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify 1 into 1
3.769 * [backup-simplify]: Simplify (* 1 1) into 1
3.769 * [backup-simplify]: Simplify (/ 1 1) into 1
3.769 * [backup-simplify]: Simplify (+ 0 1) into 1
3.770 * [backup-simplify]: Simplify (sqrt 1) into 1
3.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (+ 0 0) into 0
3.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.771 * [backup-simplify]: Simplify (+ 0 1) into 1
3.771 * [backup-simplify]: Simplify (/ 1 1) into 1
3.772 * [backup-simplify]: Simplify (sqrt 0) into 0
3.772 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.773 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
3.773 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.773 * [taylor]: Taking taylor expansion of 2.0 in im
3.773 * [backup-simplify]: Simplify 2.0 into 2.0
3.773 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.773 * [taylor]: Taking taylor expansion of im in im
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 1 into 1
3.774 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
3.774 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.774 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.774 * [taylor]: Taking taylor expansion of re in im
3.774 * [backup-simplify]: Simplify re into re
3.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.774 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.774 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.774 * [taylor]: Taking taylor expansion of re in im
3.774 * [backup-simplify]: Simplify re into re
3.774 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.774 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.774 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.774 * [taylor]: Taking taylor expansion of im in im
3.774 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify 1 into 1
3.775 * [backup-simplify]: Simplify (* 1 1) into 1
3.775 * [backup-simplify]: Simplify (/ 1 1) into 1
3.775 * [backup-simplify]: Simplify (+ 0 1) into 1
3.775 * [backup-simplify]: Simplify (sqrt 1) into 1
3.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.776 * [backup-simplify]: Simplify (+ 0 0) into 0
3.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.777 * [backup-simplify]: Simplify (+ 0 1) into 1
3.777 * [backup-simplify]: Simplify (/ 1 1) into 1
3.778 * [backup-simplify]: Simplify (sqrt 0) into 0
3.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.779 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.779 * [taylor]: Taking taylor expansion of 0 in re
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.781 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
3.781 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.781 * [taylor]: Taking taylor expansion of +nan.0 in re
3.781 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.781 * [taylor]: Taking taylor expansion of 2.0 in re
3.781 * [backup-simplify]: Simplify 2.0 into 2.0
3.781 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.782 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.783 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.784 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.784 * [backup-simplify]: Simplify 0 into 0
3.784 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
3.785 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
3.786 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.787 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
3.787 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
3.787 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
3.787 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.787 * [taylor]: Taking taylor expansion of +nan.0 in re
3.787 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.787 * [taylor]: Taking taylor expansion of 2.0 in re
3.787 * [backup-simplify]: Simplify 2.0 into 2.0
3.788 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.788 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
3.788 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.788 * [taylor]: Taking taylor expansion of +nan.0 in re
3.788 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.788 * [taylor]: Taking taylor expansion of 2.0 in re
3.788 * [backup-simplify]: Simplify 2.0 into 2.0
3.788 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.789 * [taylor]: Taking taylor expansion of re in re
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 1 into 1
3.789 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.790 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.791 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.791 * [backup-simplify]: Simplify (- 0) into 0
3.792 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.794 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.795 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.795 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.795 * [backup-simplify]: Simplify (- 0) into 0
3.795 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.798 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.799 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.800 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
3.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.803 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
3.803 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
3.803 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.803 * [taylor]: Taking taylor expansion of +nan.0 in re
3.803 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.803 * [taylor]: Taking taylor expansion of 2.0 in re
3.803 * [backup-simplify]: Simplify 2.0 into 2.0
3.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.804 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
3.804 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
3.804 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.804 * [taylor]: Taking taylor expansion of +nan.0 in re
3.804 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.804 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.804 * [taylor]: Taking taylor expansion of 2.0 in re
3.804 * [backup-simplify]: Simplify 2.0 into 2.0
3.804 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.805 * [taylor]: Taking taylor expansion of re in re
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 1 into 1
3.805 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.805 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
3.805 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
3.805 * [taylor]: Taking taylor expansion of +nan.0 in re
3.805 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.805 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
3.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.805 * [taylor]: Taking taylor expansion of 2.0 in re
3.805 * [backup-simplify]: Simplify 2.0 into 2.0
3.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.806 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.806 * [taylor]: Taking taylor expansion of re in re
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 1 into 1
3.806 * [backup-simplify]: Simplify (* 1 1) into 1
3.807 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.807 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.809 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.812 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.812 * [backup-simplify]: Simplify (- 0) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.813 * [backup-simplify]: Simplify (- 0) into 0
3.814 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.815 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.816 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.820 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
3.820 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
3.820 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
3.820 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
3.820 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
3.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.820 * [taylor]: Taking taylor expansion of 2.0 in re
3.820 * [backup-simplify]: Simplify 2.0 into 2.0
3.821 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.821 * [taylor]: Taking taylor expansion of im in re
3.821 * [backup-simplify]: Simplify im into im
3.821 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
3.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.821 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.821 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.821 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.821 * [taylor]: Taking taylor expansion of re in re
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 1 into 1
3.822 * [backup-simplify]: Simplify (* 1 1) into 1
3.822 * [backup-simplify]: Simplify (/ 1 1) into 1
3.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.822 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.822 * [taylor]: Taking taylor expansion of im in re
3.822 * [backup-simplify]: Simplify im into im
3.822 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.822 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.822 * [backup-simplify]: Simplify (+ 1 0) into 1
3.823 * [backup-simplify]: Simplify (sqrt 1) into 1
3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.824 * [backup-simplify]: Simplify (+ 0 0) into 0
3.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.824 * [taylor]: Taking taylor expansion of re in re
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.824 * [backup-simplify]: Simplify (/ 1 1) into 1
3.825 * [backup-simplify]: Simplify (- 1) into -1
3.825 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.826 * [backup-simplify]: Simplify (- 0) into 0
3.826 * [backup-simplify]: Simplify (+ 0 0) into 0
3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.828 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.829 * [backup-simplify]: Simplify (- 0) into 0
3.829 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.829 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
3.829 * [backup-simplify]: Simplify (sqrt 0) into 0
3.830 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
3.830 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
3.830 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.830 * [taylor]: Taking taylor expansion of 2.0 in im
3.830 * [backup-simplify]: Simplify 2.0 into 2.0
3.830 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.830 * [taylor]: Taking taylor expansion of im in im
3.830 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify 1 into 1
3.831 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.831 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.831 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.831 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.831 * [taylor]: Taking taylor expansion of re in im
3.831 * [backup-simplify]: Simplify re into re
3.831 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.831 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.831 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.831 * [taylor]: Taking taylor expansion of im in im
3.831 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (* 1 1) into 1
3.832 * [backup-simplify]: Simplify (/ 1 1) into 1
3.832 * [backup-simplify]: Simplify (+ 0 1) into 1
3.833 * [backup-simplify]: Simplify (sqrt 1) into 1
3.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.834 * [backup-simplify]: Simplify (+ 0 0) into 0
3.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.834 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.834 * [taylor]: Taking taylor expansion of re in im
3.834 * [backup-simplify]: Simplify re into re
3.834 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.834 * [backup-simplify]: Simplify (+ 1 0) into 1
3.835 * [backup-simplify]: Simplify (/ 1 1) into 1
3.835 * [backup-simplify]: Simplify (sqrt 0) into 0
3.836 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.836 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
3.836 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.836 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.836 * [taylor]: Taking taylor expansion of 2.0 in im
3.836 * [backup-simplify]: Simplify 2.0 into 2.0
3.836 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.837 * [taylor]: Taking taylor expansion of im in im
3.837 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify 1 into 1
3.837 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.837 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.837 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.837 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.837 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.837 * [taylor]: Taking taylor expansion of re in im
3.837 * [backup-simplify]: Simplify re into re
3.837 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.838 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.838 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.838 * [taylor]: Taking taylor expansion of im in im
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify 1 into 1
3.838 * [backup-simplify]: Simplify (* 1 1) into 1
3.838 * [backup-simplify]: Simplify (/ 1 1) into 1
3.839 * [backup-simplify]: Simplify (+ 0 1) into 1
3.839 * [backup-simplify]: Simplify (sqrt 1) into 1
3.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.841 * [backup-simplify]: Simplify (+ 0 0) into 0
3.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.842 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.842 * [taylor]: Taking taylor expansion of re in im
3.842 * [backup-simplify]: Simplify re into re
3.842 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.842 * [backup-simplify]: Simplify (+ 1 0) into 1
3.842 * [backup-simplify]: Simplify (/ 1 1) into 1
3.843 * [backup-simplify]: Simplify (sqrt 0) into 0
3.844 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.845 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.845 * [taylor]: Taking taylor expansion of 0 in re
3.845 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.848 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
3.848 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.848 * [taylor]: Taking taylor expansion of +nan.0 in re
3.848 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.848 * [taylor]: Taking taylor expansion of 2.0 in re
3.848 * [backup-simplify]: Simplify 2.0 into 2.0
3.849 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.849 * [backup-simplify]: Simplify 0 into 0
3.849 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
3.850 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
3.851 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
3.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.854 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
3.854 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
3.855 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
3.855 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.855 * [taylor]: Taking taylor expansion of +nan.0 in re
3.855 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.855 * [taylor]: Taking taylor expansion of 2.0 in re
3.855 * [backup-simplify]: Simplify 2.0 into 2.0
3.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.856 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
3.856 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.856 * [taylor]: Taking taylor expansion of +nan.0 in re
3.856 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.856 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.856 * [taylor]: Taking taylor expansion of 2.0 in re
3.856 * [backup-simplify]: Simplify 2.0 into 2.0
3.856 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.857 * [taylor]: Taking taylor expansion of re in re
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 1 into 1
3.858 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.859 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.861 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.863 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.865 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.867 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.868 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.869 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.871 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.871 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.873 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.874 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.875 * [backup-simplify]: Simplify (- 0) into 0
3.875 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.876 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
3.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.881 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.881 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
3.881 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
3.881 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.881 * [taylor]: Taking taylor expansion of +nan.0 in re
3.881 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.881 * [taylor]: Taking taylor expansion of 2.0 in re
3.881 * [backup-simplify]: Simplify 2.0 into 2.0
3.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.883 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
3.883 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
3.883 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.883 * [taylor]: Taking taylor expansion of +nan.0 in re
3.883 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.883 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.883 * [taylor]: Taking taylor expansion of 2.0 in re
3.883 * [backup-simplify]: Simplify 2.0 into 2.0
3.884 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.884 * [taylor]: Taking taylor expansion of re in re
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 1 into 1
3.885 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
3.885 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
3.885 * [taylor]: Taking taylor expansion of +nan.0 in re
3.885 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.885 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
3.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.885 * [taylor]: Taking taylor expansion of 2.0 in re
3.886 * [backup-simplify]: Simplify 2.0 into 2.0
3.886 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.887 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.887 * [taylor]: Taking taylor expansion of re in re
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 1 into 1
3.887 * [backup-simplify]: Simplify (* 1 1) into 1
3.888 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.889 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.892 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.893 * [backup-simplify]: Simplify (- 0) into 0
3.894 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.897 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.899 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.902 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.903 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.908 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
3.909 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2)
3.909 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.909 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
3.909 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.909 * [taylor]: Taking taylor expansion of re in im
3.909 * [backup-simplify]: Simplify re into re
3.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.909 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.909 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.909 * [taylor]: Taking taylor expansion of im in im
3.909 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify 1 into 1
3.909 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.909 * [taylor]: Taking taylor expansion of re in im
3.909 * [backup-simplify]: Simplify re into re
3.909 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.910 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.910 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.910 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.910 * [backup-simplify]: Simplify (+ 0 0) into 0
3.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.911 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.911 * [taylor]: Taking taylor expansion of re in re
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.911 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.911 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.911 * [taylor]: Taking taylor expansion of im in re
3.911 * [backup-simplify]: Simplify im into im
3.911 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.911 * [taylor]: Taking taylor expansion of re in re
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.911 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.911 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.912 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.912 * [taylor]: Taking taylor expansion of re in re
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.912 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.912 * [taylor]: Taking taylor expansion of im in re
3.912 * [backup-simplify]: Simplify im into im
3.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.912 * [taylor]: Taking taylor expansion of re in re
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.913 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.913 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.913 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.914 * [backup-simplify]: Simplify (+ 0 im) into im
3.914 * [taylor]: Taking taylor expansion of im in im
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify (+ 1 0) into 1
3.914 * [taylor]: Taking taylor expansion of 1 in im
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.915 * [backup-simplify]: Simplify (* 1 1) into 1
3.916 * [backup-simplify]: Simplify (+ 0 1) into 1
3.917 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.917 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.917 * [taylor]: Taking taylor expansion of 1/2 in im
3.917 * [backup-simplify]: Simplify 1/2 into 1/2
3.917 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.917 * [taylor]: Taking taylor expansion of im in im
3.917 * [backup-simplify]: Simplify 0 into 0
3.917 * [backup-simplify]: Simplify 1 into 1
3.917 * [backup-simplify]: Simplify (/ 1 1) into 1
3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.924 * [backup-simplify]: Simplify (+ 0 0) into 0
3.924 * [taylor]: Taking taylor expansion of 0 in im
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.926 * [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)))))
3.926 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.926 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.926 * [taylor]: Taking taylor expansion of re in im
3.926 * [backup-simplify]: Simplify re into re
3.927 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.927 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.927 * [taylor]: Taking taylor expansion of re in im
3.927 * [backup-simplify]: Simplify re into re
3.927 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.927 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.927 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.927 * [taylor]: Taking taylor expansion of im in im
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify (* 1 1) into 1
3.928 * [backup-simplify]: Simplify (/ 1 1) into 1
3.928 * [backup-simplify]: Simplify (+ 0 1) into 1
3.929 * [backup-simplify]: Simplify (sqrt 1) into 1
3.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.930 * [backup-simplify]: Simplify (+ 0 0) into 0
3.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.931 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.931 * [taylor]: Taking taylor expansion of re in re
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (/ 1 1) into 1
3.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.932 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.932 * [taylor]: Taking taylor expansion of re in re
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (* 1 1) into 1
3.933 * [backup-simplify]: Simplify (/ 1 1) into 1
3.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.933 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.933 * [taylor]: Taking taylor expansion of im in re
3.933 * [backup-simplify]: Simplify im into im
3.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.933 * [backup-simplify]: Simplify (+ 1 0) into 1
3.934 * [backup-simplify]: Simplify (sqrt 1) into 1
3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.936 * [backup-simplify]: Simplify (+ 0 0) into 0
3.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.937 * [taylor]: Taking taylor expansion of re in re
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.937 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.937 * [taylor]: Taking taylor expansion of re in re
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.938 * [backup-simplify]: Simplify (* 1 1) into 1
3.938 * [backup-simplify]: Simplify (/ 1 1) into 1
3.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.938 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.938 * [taylor]: Taking taylor expansion of im in re
3.938 * [backup-simplify]: Simplify im into im
3.938 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.939 * [backup-simplify]: Simplify (+ 1 0) into 1
3.939 * [backup-simplify]: Simplify (sqrt 1) into 1
3.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.941 * [backup-simplify]: Simplify (+ 0 0) into 0
3.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.942 * [backup-simplify]: Simplify (+ 1 1) into 2
3.942 * [taylor]: Taking taylor expansion of 2 in im
3.942 * [backup-simplify]: Simplify 2 into 2
3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.944 * [backup-simplify]: Simplify (+ 0 0) into 0
3.944 * [taylor]: Taking taylor expansion of 0 in im
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 2 into 2
3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.948 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.948 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.948 * [taylor]: Taking taylor expansion of 1/2 in im
3.948 * [backup-simplify]: Simplify 1/2 into 1/2
3.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.949 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.949 * [taylor]: Taking taylor expansion of im in im
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.949 * [backup-simplify]: Simplify (* 1 1) into 1
3.949 * [backup-simplify]: Simplify (/ 1 1) into 1
3.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.955 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.956 * [backup-simplify]: Simplify (+ 0 0) into 0
3.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.957 * [backup-simplify]: Simplify (+ 0 0) into 0
3.957 * [taylor]: Taking taylor expansion of 0 in im
3.957 * [backup-simplify]: Simplify 0 into 0
3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.960 * [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))
3.960 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.960 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.960 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.960 * [taylor]: Taking taylor expansion of re in im
3.960 * [backup-simplify]: Simplify re into re
3.960 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.961 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.961 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.961 * [taylor]: Taking taylor expansion of im in im
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.961 * [backup-simplify]: Simplify (* 1 1) into 1
3.962 * [backup-simplify]: Simplify (/ 1 1) into 1
3.962 * [backup-simplify]: Simplify (+ 0 1) into 1
3.962 * [backup-simplify]: Simplify (sqrt 1) into 1
3.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.963 * [backup-simplify]: Simplify (+ 0 0) into 0
3.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.964 * [taylor]: Taking taylor expansion of re in im
3.964 * [backup-simplify]: Simplify re into re
3.964 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.964 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.964 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.964 * [taylor]: Taking taylor expansion of re in re
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify 1 into 1
3.964 * [backup-simplify]: Simplify (* 1 1) into 1
3.964 * [backup-simplify]: Simplify (/ 1 1) into 1
3.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.964 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.964 * [taylor]: Taking taylor expansion of im in re
3.964 * [backup-simplify]: Simplify im into im
3.964 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.965 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.965 * [backup-simplify]: Simplify (+ 1 0) into 1
3.965 * [backup-simplify]: Simplify (sqrt 1) into 1
3.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.966 * [backup-simplify]: Simplify (+ 0 0) into 0
3.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.967 * [taylor]: Taking taylor expansion of re in re
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify 1 into 1
3.967 * [backup-simplify]: Simplify (/ 1 1) into 1
3.967 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.967 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.967 * [taylor]: Taking taylor expansion of re in re
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify 1 into 1
3.967 * [backup-simplify]: Simplify (* 1 1) into 1
3.967 * [backup-simplify]: Simplify (/ 1 1) into 1
3.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.967 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.967 * [taylor]: Taking taylor expansion of im in re
3.967 * [backup-simplify]: Simplify im into im
3.968 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.968 * [backup-simplify]: Simplify (+ 1 0) into 1
3.968 * [backup-simplify]: Simplify (sqrt 1) into 1
3.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.969 * [backup-simplify]: Simplify (+ 0 0) into 0
3.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.970 * [taylor]: Taking taylor expansion of re in re
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.970 * [backup-simplify]: Simplify (/ 1 1) into 1
3.970 * [backup-simplify]: Simplify (- 1) into -1
3.970 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.970 * [taylor]: Taking taylor expansion of 0 in im
3.970 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.971 * [backup-simplify]: Simplify (- 0) into 0
3.971 * [backup-simplify]: Simplify (+ 0 0) into 0
3.971 * [taylor]: Taking taylor expansion of 0 in im
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 0 into 0
3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.973 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.973 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (- 0) into 0
3.974 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.975 * [taylor]: Taking taylor expansion of 1/2 in im
3.975 * [backup-simplify]: Simplify 1/2 into 1/2
3.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.975 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.975 * [taylor]: Taking taylor expansion of im in im
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [backup-simplify]: Simplify (* 1 1) into 1
3.975 * [backup-simplify]: Simplify (/ 1 1) into 1
3.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.976 * [backup-simplify]: Simplify 0 into 0
3.976 * [backup-simplify]: Simplify 0 into 0
3.976 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.978 * [backup-simplify]: Simplify (+ 0 0) into 0
3.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.979 * [backup-simplify]: Simplify (- 0) into 0
3.980 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [taylor]: Taking taylor expansion of 0 in im
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.982 * * * [progress]: simplifying candidates
3.984 * [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 (+ (* im im) 0)) (log (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (* (+ (* im im) 0) (+ (* im im) 0)) (+ (* im im) 0)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (- (+ (* im im) 0))
  (- (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (+ (* im im) 0)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (cbrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1)
  (/ (cbrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1)
  (/ (cbrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (sqrt (+ (* im im) 0)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) 1)
  (/ (sqrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (sqrt (+ (* im im) 0)) 1)
  (/ (sqrt (+ (* im im) 0)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (+ (* im im) 0) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (+ (* im im) 0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 1)
  (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 1)
  (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0))
  (/ (+ (* im im) 0) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (+ (* im im) 0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (+ (* im im) 0) 1)
  (/ (+ (* im im) 0) 1)
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (+ (* im im) 0)))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* im im) 0)))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0))
  (/ (+ (* im im) 0) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (/ (+ (* im im) 0) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0))))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (- (* im im) 0))
  (log (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (exp (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (* (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt 2.0)
  (sqrt (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (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)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (* -1 re)
  0
  0
  (- (+ re im))
  (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2)))))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (+ re im)
  (* 2 re)
  0
3.985 * * [simplify]: iteration 0: 162 enodes
4.043 * * [simplify]: iteration 1: 391 enodes
4.221 * * [simplify]: iteration 2: 1110 enodes
4.955 * * [simplify]: iteration 3: 4168 enodes
6.460 * * [simplify]: iteration complete: 5044 enodes
6.461 * * [simplify]: Extracting #0: cost 77 inf + 0
6.463 * * [simplify]: Extracting #1: cost 580 inf + 209
6.472 * * [simplify]: Extracting #2: cost 1166 inf + 8470
6.503 * * [simplify]: Extracting #3: cost 1182 inf + 63335
6.554 * * [simplify]: Extracting #4: cost 405 inf + 251951
6.624 * * [simplify]: Extracting #5: cost 21 inf + 369509
6.773 * * [simplify]: Extracting #6: cost 0 inf + 373197
6.896 * [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 re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (- im) im)
  (- (- re) (sqrt (+ (* re re) (* im im))))
  (* (/ (cbrt (* im im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (* im im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (* im im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (/ (cbrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* im im)))
  (/ (cbrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (* im im)) (cbrt (* im im)))
  (/ (cbrt (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (* im im)) (cbrt (* im im)))
  (/ (cbrt (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (fabs im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (fabs im)
  (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))
  (fabs im)
  (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* im im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  1
  (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))
  1
  (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im))
  (* (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* im im)
  (* im im)
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (* im im)))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (fabs im))
  (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im))
  (/ (* im im) (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))))
  (/ (* im im) (* im im))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (* im im)) (* im im))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (* im im))
  (log (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt 2.0)
  (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* (* im im) 2.0))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))
  (- (* re re) (* (sqrt (+ (* re re) (* im im))) (- re (sqrt (+ (* re re) (* im im))))))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  0
  0
  (- (- re) im)
  (+ (* (- (* (* +nan.0 (* (sqrt 1/2) im)) re)) (sqrt 2.0)) (* +nan.0 (- (/ (* (* im im) (* (sqrt 2.0) im)) (sqrt 1/2)) (* (sqrt 1/2) (* (sqrt 2.0) im)))))
  (- (* (- +nan.0) (sqrt 2.0)) (* (/ (sqrt 2.0) im) (+ (- +nan.0) (/ +nan.0 im))))
  (- (- (/ (* +nan.0 (sqrt 2.0)) (/ (* im im) re)) (- (* +nan.0 (sqrt 2.0)) (/ (* +nan.0 (sqrt 2.0)) (/ im re)))))
  (+ re im)
  (* re 2)
  0
6.910 * * * [progress]: adding candidates to table
7.424 * * [progress]: iteration 3 / 4
7.424 * * * [progress]: picking best candidate
7.457 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))>
7.458 * * * [progress]: localizing error
7.468 * * * [progress]: generating rewritten candidates
7.468 * * * [progress]: generating series expansions
7.468 * * * [progress]: simplifying candidates
7.468 * [simplify]: Simplifying:
  
7.468 * * [simplify]: iteration 0: 0 enodes
7.468 * * [simplify]: iteration complete: 0 enodes
7.468 * * [simplify]: Extracting #0: cost 0 inf + 0
7.468 * [simplify]: Simplified to:
  
7.468 * * * [progress]: adding candidates to table
7.469 * * [progress]: iteration 4 / 4
7.469 * * * [progress]: picking best candidate
7.522 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
7.522 * * * [progress]: localizing error
7.562 * * * [progress]: generating rewritten candidates
7.562 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1)
7.569 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
7.665 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2)
7.696 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
7.800 * * * [progress]: generating series expansions
7.800 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1)
7.801 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.801 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.801 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.801 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.801 * [taylor]: Taking taylor expansion of im in im
7.801 * [backup-simplify]: Simplify 0 into 0
7.801 * [backup-simplify]: Simplify 1 into 1
7.801 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.801 * [taylor]: Taking taylor expansion of re in im
7.801 * [backup-simplify]: Simplify re into re
7.801 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.801 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.801 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.801 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.802 * [backup-simplify]: Simplify (+ 0 0) into 0
7.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.802 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.802 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.803 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.803 * [taylor]: Taking taylor expansion of im in re
7.803 * [backup-simplify]: Simplify im into im
7.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.803 * [taylor]: Taking taylor expansion of re in re
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify 1 into 1
7.803 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.803 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.803 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.804 * [backup-simplify]: Simplify (+ 0 0) into 0
7.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.804 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.804 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.804 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.804 * [taylor]: Taking taylor expansion of im in re
7.804 * [backup-simplify]: Simplify im into im
7.804 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.804 * [taylor]: Taking taylor expansion of re in re
7.804 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify 1 into 1
7.804 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.804 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.804 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.805 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.805 * [backup-simplify]: Simplify (+ 0 0) into 0
7.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.805 * [taylor]: Taking taylor expansion of im in im
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 1 into 1
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [taylor]: Taking taylor expansion of 0 in im
7.806 * [backup-simplify]: Simplify 0 into 0
7.806 * [backup-simplify]: Simplify 0 into 0
7.806 * [backup-simplify]: Simplify 1 into 1
7.806 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.807 * [backup-simplify]: Simplify (* 1 1) into 1
7.807 * [backup-simplify]: Simplify (+ 0 1) into 1
7.808 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.808 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.808 * [taylor]: Taking taylor expansion of 1/2 in im
7.808 * [backup-simplify]: Simplify 1/2 into 1/2
7.808 * [taylor]: Taking taylor expansion of im in im
7.808 * [backup-simplify]: Simplify 0 into 0
7.808 * [backup-simplify]: Simplify 1 into 1
7.809 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.812 * [backup-simplify]: Simplify (+ 0 0) into 0
7.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.812 * [taylor]: Taking taylor expansion of 0 in im
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [backup-simplify]: Simplify 0 into 0
7.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.813 * [backup-simplify]: Simplify 0 into 0
7.813 * [backup-simplify]: Simplify 0 into 0
7.813 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.813 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.813 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.814 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.814 * [taylor]: Taking taylor expansion of re in im
7.814 * [backup-simplify]: Simplify re into re
7.814 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.814 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.814 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.814 * [taylor]: Taking taylor expansion of im in im
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.814 * [backup-simplify]: Simplify (* 1 1) into 1
7.815 * [backup-simplify]: Simplify (/ 1 1) into 1
7.815 * [backup-simplify]: Simplify (+ 0 1) into 1
7.816 * [backup-simplify]: Simplify (sqrt 1) into 1
7.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.818 * [backup-simplify]: Simplify (+ 0 0) into 0
7.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.818 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.819 * [taylor]: Taking taylor expansion of re in re
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 1 into 1
7.819 * [backup-simplify]: Simplify (* 1 1) into 1
7.819 * [backup-simplify]: Simplify (/ 1 1) into 1
7.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.819 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.819 * [taylor]: Taking taylor expansion of im in re
7.819 * [backup-simplify]: Simplify im into im
7.820 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.820 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.820 * [backup-simplify]: Simplify (+ 1 0) into 1
7.821 * [backup-simplify]: Simplify (sqrt 1) into 1
7.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.822 * [backup-simplify]: Simplify (+ 0 0) into 0
7.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.823 * [taylor]: Taking taylor expansion of re in re
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 1 into 1
7.823 * [backup-simplify]: Simplify (* 1 1) into 1
7.823 * [backup-simplify]: Simplify (/ 1 1) into 1
7.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.823 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.823 * [taylor]: Taking taylor expansion of im in re
7.823 * [backup-simplify]: Simplify im into im
7.823 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.824 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.824 * [backup-simplify]: Simplify (+ 1 0) into 1
7.824 * [backup-simplify]: Simplify (sqrt 1) into 1
7.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.826 * [taylor]: Taking taylor expansion of 1 in im
7.826 * [backup-simplify]: Simplify 1 into 1
7.826 * [taylor]: Taking taylor expansion of 0 in im
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify 1 into 1
7.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.828 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.828 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.828 * [taylor]: Taking taylor expansion of 1/2 in im
7.828 * [backup-simplify]: Simplify 1/2 into 1/2
7.828 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.828 * [taylor]: Taking taylor expansion of im in im
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 1 into 1
7.828 * [backup-simplify]: Simplify (* 1 1) into 1
7.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.831 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.831 * [backup-simplify]: Simplify (+ 0 0) into 0
7.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.831 * [taylor]: Taking taylor expansion of 0 in im
7.831 * [backup-simplify]: Simplify 0 into 0
7.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.833 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.833 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.833 * [taylor]: Taking taylor expansion of re in im
7.833 * [backup-simplify]: Simplify re into re
7.833 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.833 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.833 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.833 * [taylor]: Taking taylor expansion of im in im
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify 1 into 1
7.834 * [backup-simplify]: Simplify (* 1 1) into 1
7.834 * [backup-simplify]: Simplify (/ 1 1) into 1
7.834 * [backup-simplify]: Simplify (+ 0 1) into 1
7.834 * [backup-simplify]: Simplify (sqrt 1) into 1
7.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.835 * [backup-simplify]: Simplify (+ 0 0) into 0
7.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.836 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.836 * [taylor]: Taking taylor expansion of re in re
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 1 into 1
7.836 * [backup-simplify]: Simplify (* 1 1) into 1
7.836 * [backup-simplify]: Simplify (/ 1 1) into 1
7.836 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.836 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.836 * [taylor]: Taking taylor expansion of im in re
7.836 * [backup-simplify]: Simplify im into im
7.836 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.837 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.837 * [backup-simplify]: Simplify (+ 1 0) into 1
7.837 * [backup-simplify]: Simplify (sqrt 1) into 1
7.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.839 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.839 * [taylor]: Taking taylor expansion of re in re
7.839 * [backup-simplify]: Simplify 0 into 0
7.839 * [backup-simplify]: Simplify 1 into 1
7.839 * [backup-simplify]: Simplify (* 1 1) into 1
7.839 * [backup-simplify]: Simplify (/ 1 1) into 1
7.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.839 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.839 * [taylor]: Taking taylor expansion of im in re
7.839 * [backup-simplify]: Simplify im into im
7.839 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.839 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.840 * [backup-simplify]: Simplify (+ 1 0) into 1
7.840 * [backup-simplify]: Simplify (sqrt 1) into 1
7.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.841 * [backup-simplify]: Simplify (+ 0 0) into 0
7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.841 * [taylor]: Taking taylor expansion of 1 in im
7.841 * [backup-simplify]: Simplify 1 into 1
7.841 * [taylor]: Taking taylor expansion of 0 in im
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 1 into 1
7.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.843 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.843 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.844 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.844 * [taylor]: Taking taylor expansion of 1/2 in im
7.844 * [backup-simplify]: Simplify 1/2 into 1/2
7.844 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.844 * [taylor]: Taking taylor expansion of im in im
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [backup-simplify]: Simplify (* 1 1) into 1
7.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.846 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.847 * [backup-simplify]: Simplify (+ 0 0) into 0
7.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.847 * [taylor]: Taking taylor expansion of 0 in im
7.847 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify 0 into 0
7.848 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.849 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
7.849 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) into (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))))
7.849 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0
7.849 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re
7.849 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in re
7.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.849 * [taylor]: Taking taylor expansion of 2.0 in re
7.849 * [backup-simplify]: Simplify 2.0 into 2.0
7.849 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.850 * [taylor]: Taking taylor expansion of (fabs im) in re
7.853 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
7.853 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
7.853 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
7.853 * [taylor]: Taking taylor expansion of re in re
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 1 into 1
7.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.853 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.853 * [taylor]: Taking taylor expansion of im in re
7.853 * [backup-simplify]: Simplify im into im
7.853 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.853 * [taylor]: Taking taylor expansion of re in re
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 1 into 1
7.854 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.854 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.854 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.854 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.854 * [backup-simplify]: Simplify (+ 0 0) into 0
7.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.854 * [backup-simplify]: Simplify (+ 0 im) into im
7.855 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.855 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.855 * [backup-simplify]: Simplify (+ 1 0) into 1
7.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2)))
7.855 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3))))
7.855 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
7.855 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in im
7.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.855 * [taylor]: Taking taylor expansion of 2.0 in im
7.855 * [backup-simplify]: Simplify 2.0 into 2.0
7.856 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.856 * [taylor]: Taking taylor expansion of (fabs im) in im
7.856 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
7.856 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
7.856 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
7.856 * [taylor]: Taking taylor expansion of re in im
7.856 * [backup-simplify]: Simplify re into re
7.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.856 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.856 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.856 * [taylor]: Taking taylor expansion of im in im
7.856 * [backup-simplify]: Simplify 0 into 0
7.856 * [backup-simplify]: Simplify 1 into 1
7.856 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.856 * [taylor]: Taking taylor expansion of re in im
7.856 * [backup-simplify]: Simplify re into re
7.856 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.856 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.857 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.857 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.857 * [backup-simplify]: Simplify (+ 0 0) into 0
7.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.857 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.857 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.857 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
7.857 * [backup-simplify]: Simplify (+ 0 0) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
7.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
7.858 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im
7.858 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in im
7.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.858 * [taylor]: Taking taylor expansion of 2.0 in im
7.858 * [backup-simplify]: Simplify 2.0 into 2.0
7.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.858 * [taylor]: Taking taylor expansion of (fabs im) in im
7.858 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
7.858 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
7.859 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
7.859 * [taylor]: Taking taylor expansion of re in im
7.859 * [backup-simplify]: Simplify re into re
7.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.859 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.859 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.859 * [taylor]: Taking taylor expansion of im in im
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 1 into 1
7.859 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.859 * [taylor]: Taking taylor expansion of re in im
7.859 * [backup-simplify]: Simplify re into re
7.859 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.859 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.859 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.859 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.860 * [backup-simplify]: Simplify (+ 0 0) into 0
7.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.860 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.860 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.860 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
7.860 * [backup-simplify]: Simplify (+ 0 0) into 0
7.860 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
7.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
7.861 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs im)) into (* (sqrt 2.0) (fabs im))
7.861 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs im)) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) (sqrt (/ 1 re)))
7.861 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) (sqrt (/ 1 re))) in re
7.861 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) in re
7.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.861 * [taylor]: Taking taylor expansion of 2.0 in re
7.861 * [backup-simplify]: Simplify 2.0 into 2.0
7.862 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.862 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 1/2)) in re
7.862 * [taylor]: Taking taylor expansion of (fabs im) in re
7.862 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.862 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
7.863 * [taylor]: Taking taylor expansion of 1/2 in re
7.863 * [backup-simplify]: Simplify 1/2 into 1/2
7.863 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re
7.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.864 * [taylor]: Taking taylor expansion of re in re
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 1 into 1
7.864 * [backup-simplify]: Simplify (/ 1 1) into 1
7.865 * [backup-simplify]: Simplify (sqrt 0) into 0
7.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.866 * [backup-simplify]: Simplify (* (fabs im) (sqrt 1/2)) into (* (fabs im) (sqrt 1/2))
7.867 * [backup-simplify]: Simplify (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) into (* (sqrt 2.0) (* (fabs im) (sqrt 1/2)))
7.867 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 1/2))) into 0
7.868 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (* (fabs im) (sqrt 1/2)))) into 0
7.868 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2)))))
7.869 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2)))))
7.869 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs im))) into 0
7.870 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs im)) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0
7.870 * [taylor]: Taking taylor expansion of 0 in re
7.870 * [backup-simplify]: Simplify 0 into 0
7.870 * [backup-simplify]: Simplify 0 into 0
7.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.872 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.873 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
7.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.875 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (* (fabs im) (sqrt 1/2))))) into 0
7.876 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2)))))
7.876 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2)))))
7.876 * [backup-simplify]: Simplify (* 1 1) into 1
7.877 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.877 * [backup-simplify]: Simplify (+ 1 0) into 1
7.877 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.878 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
7.878 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
7.879 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))
7.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.880 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0
7.881 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs im)) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into (- (* 1/16 (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))))
7.881 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re
7.881 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re
7.881 * [taylor]: Taking taylor expansion of 1/16 in re
7.881 * [backup-simplify]: Simplify 1/16 into 1/16
7.881 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re
7.881 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) in re
7.881 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in re
7.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.881 * [taylor]: Taking taylor expansion of 2.0 in re
7.882 * [backup-simplify]: Simplify 2.0 into 2.0
7.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.882 * [taylor]: Taking taylor expansion of (fabs im) in re
7.882 * [backup-simplify]: Simplify (fabs im) into (fabs im)
7.882 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
7.882 * [taylor]: Taking taylor expansion of 1/2 in re
7.882 * [backup-simplify]: Simplify 1/2 into 1/2
7.883 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.883 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs im)) into (* (sqrt 2.0) (fabs im))
7.884 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) into (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))
7.884 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re
7.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re
7.884 * [taylor]: Taking taylor expansion of (pow re 5) in re
7.884 * [taylor]: Taking taylor expansion of re in re
7.884 * [backup-simplify]: Simplify 0 into 0
7.884 * [backup-simplify]: Simplify 1 into 1
7.884 * [backup-simplify]: Simplify (* 1 1) into 1
7.884 * [backup-simplify]: Simplify (* 1 1) into 1
7.885 * [backup-simplify]: Simplify (* 1 1) into 1
7.885 * [backup-simplify]: Simplify (/ 1 1) into 1
7.885 * [backup-simplify]: Simplify (sqrt 0) into 0
7.886 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.891 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.894 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs im))) into 0
7.895 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0
7.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.897 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0
7.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.899 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
7.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.900 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs im))))) into 0
7.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.903 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
7.904 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))
7.905 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))
7.906 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))
7.907 * [backup-simplify]: Simplify (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) 0) into 0
7.910 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))
7.911 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))
7.912 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))
7.915 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)))) (pow (* 1 im) 2)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))) (* re 1)) (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs im) (* re (sqrt 1/2))))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2)))))))))
7.915 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (fabs (/ 1 im)) (/ (fabs (/ 1 im)) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
7.915 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
7.915 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
7.916 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
7.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.916 * [taylor]: Taking taylor expansion of 2.0 in re
7.916 * [backup-simplify]: Simplify 2.0 into 2.0
7.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.917 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.917 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
7.917 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
7.917 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.917 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.917 * [taylor]: Taking taylor expansion of re in re
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 1 into 1
7.917 * [backup-simplify]: Simplify (/ 1 1) into 1
7.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.918 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.918 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.918 * [taylor]: Taking taylor expansion of re in re
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 1 into 1
7.918 * [backup-simplify]: Simplify (* 1 1) into 1
7.918 * [backup-simplify]: Simplify (/ 1 1) into 1
7.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.918 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.918 * [taylor]: Taking taylor expansion of im in re
7.918 * [backup-simplify]: Simplify im into im
7.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.919 * [backup-simplify]: Simplify (+ 1 0) into 1
7.919 * [backup-simplify]: Simplify (sqrt 1) into 1
7.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.922 * [backup-simplify]: Simplify (+ 1 1) into 2
7.923 * [backup-simplify]: Simplify (/ 1 2) into 1/2
7.923 * [backup-simplify]: Simplify (sqrt 0) into 0
7.924 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
7.925 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
7.925 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in im
7.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.925 * [taylor]: Taking taylor expansion of 2.0 in im
7.925 * [backup-simplify]: Simplify 2.0 into 2.0
7.925 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.926 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
7.926 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
7.926 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
7.926 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.926 * [taylor]: Taking taylor expansion of re in im
7.926 * [backup-simplify]: Simplify re into re
7.926 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.926 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.926 * [taylor]: Taking taylor expansion of re in im
7.926 * [backup-simplify]: Simplify re into re
7.926 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.926 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.927 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.927 * [taylor]: Taking taylor expansion of im in im
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [backup-simplify]: Simplify 1 into 1
7.927 * [backup-simplify]: Simplify (* 1 1) into 1
7.927 * [backup-simplify]: Simplify (/ 1 1) into 1
7.928 * [backup-simplify]: Simplify (+ 0 1) into 1
7.928 * [backup-simplify]: Simplify (sqrt 1) into 1
7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.930 * [backup-simplify]: Simplify (+ 0 1) into 1
7.931 * [backup-simplify]: Simplify (/ 1 1) into 1
7.931 * [backup-simplify]: Simplify (sqrt 0) into 0
7.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.932 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
7.932 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in im
7.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.932 * [taylor]: Taking taylor expansion of 2.0 in im
7.932 * [backup-simplify]: Simplify 2.0 into 2.0
7.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.932 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
7.933 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
7.933 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
7.933 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.933 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.933 * [taylor]: Taking taylor expansion of re in im
7.933 * [backup-simplify]: Simplify re into re
7.933 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.933 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.933 * [taylor]: Taking taylor expansion of re in im
7.933 * [backup-simplify]: Simplify re into re
7.933 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.933 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.933 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.933 * [taylor]: Taking taylor expansion of im in im
7.933 * [backup-simplify]: Simplify 0 into 0
7.933 * [backup-simplify]: Simplify 1 into 1
7.933 * [backup-simplify]: Simplify (* 1 1) into 1
7.933 * [backup-simplify]: Simplify (/ 1 1) into 1
7.934 * [backup-simplify]: Simplify (+ 0 1) into 1
7.934 * [backup-simplify]: Simplify (sqrt 1) into 1
7.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.935 * [backup-simplify]: Simplify (+ 0 0) into 0
7.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.936 * [backup-simplify]: Simplify (+ 0 1) into 1
7.936 * [backup-simplify]: Simplify (/ 1 1) into 1
7.936 * [backup-simplify]: Simplify (sqrt 0) into 0
7.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.938 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.938 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ 1 im))) 0) into 0
7.938 * [taylor]: Taking taylor expansion of 0 in re
7.938 * [backup-simplify]: Simplify 0 into 0
7.938 * [backup-simplify]: Simplify 0 into 0
7.939 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0
7.939 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.939 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) in re
7.939 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re
7.939 * [taylor]: Taking taylor expansion of +nan.0 in re
7.939 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.939 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
7.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.939 * [taylor]: Taking taylor expansion of 2.0 in re
7.939 * [backup-simplify]: Simplify 2.0 into 2.0
7.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.940 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.940 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.940 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.941 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))
7.941 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.941 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.942 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
7.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.944 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
7.945 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)))))
7.945 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re))))) in re
7.945 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)))) in re
7.945 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re
7.945 * [taylor]: Taking taylor expansion of +nan.0 in re
7.945 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.945 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
7.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.945 * [taylor]: Taking taylor expansion of 2.0 in re
7.945 * [backup-simplify]: Simplify 2.0 into 2.0
7.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.946 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.946 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.946 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re))) in re
7.946 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) in re
7.946 * [taylor]: Taking taylor expansion of +nan.0 in re
7.946 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.946 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) re) in re
7.946 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
7.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.946 * [taylor]: Taking taylor expansion of 2.0 in re
7.946 * [backup-simplify]: Simplify 2.0 into 2.0
7.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.947 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.947 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.947 * [taylor]: Taking taylor expansion of re in re
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify 1 into 1
7.947 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.947 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.948 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.948 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))
7.948 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0
7.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im))))) into 0
7.950 * [backup-simplify]: Simplify (- 0) into 0
7.952 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.953 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.953 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.953 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0
7.954 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im))))) into 0
7.954 * [backup-simplify]: Simplify (- 0) into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
7.957 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.957 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.958 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
7.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.959 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0
7.961 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))))))))
7.961 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)))))))) in re
7.961 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))))))) in re
7.961 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re
7.961 * [taylor]: Taking taylor expansion of +nan.0 in re
7.961 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.961 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
7.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.961 * [taylor]: Taking taylor expansion of 2.0 in re
7.961 * [backup-simplify]: Simplify 2.0 into 2.0
7.961 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.962 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.962 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.962 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)))))) in re
7.962 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))))) in re
7.962 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) in re
7.962 * [taylor]: Taking taylor expansion of +nan.0 in re
7.962 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.962 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) re) in re
7.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
7.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.962 * [taylor]: Taking taylor expansion of 2.0 in re
7.962 * [backup-simplify]: Simplify 2.0 into 2.0
7.962 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.963 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.963 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.963 * [taylor]: Taking taylor expansion of re in re
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 1 into 1
7.963 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.963 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.963 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)))) in re
7.963 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))) in re
7.963 * [taylor]: Taking taylor expansion of +nan.0 in re
7.963 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.963 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)) in re
7.963 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
7.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.964 * [taylor]: Taking taylor expansion of 2.0 in re
7.964 * [backup-simplify]: Simplify 2.0 into 2.0
7.964 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.964 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
7.964 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
7.964 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.964 * [taylor]: Taking taylor expansion of re in re
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify 1 into 1
7.965 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.965 * [backup-simplify]: Simplify (* 1 1) into 1
7.965 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.965 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
7.966 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))
7.966 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0
7.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)))) into 0
7.969 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im))))) into 0
7.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.971 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
7.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.972 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0
7.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)))) into 0
7.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.977 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into 0
7.977 * [backup-simplify]: Simplify (- 0) into 0
7.977 * [backup-simplify]: Simplify (+ 0 0) into 0
7.978 * [backup-simplify]: Simplify (- 0) into 0
7.979 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.979 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.980 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
7.982 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 (/ 1 im)))))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 (/ 1 im)))))) (pow (* 1 (/ 1 im)) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 (/ 1 im)))))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 3))))))))
7.983 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (fabs (/ 1 (- im))) (/ (fabs (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
7.983 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
7.983 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
7.983 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
7.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.983 * [taylor]: Taking taylor expansion of 2.0 in re
7.983 * [backup-simplify]: Simplify 2.0 into 2.0
7.983 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.984 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
7.984 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
7.984 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
7.984 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.984 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.984 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.984 * [taylor]: Taking taylor expansion of re in re
7.984 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify 1 into 1
7.985 * [backup-simplify]: Simplify (* 1 1) into 1
7.985 * [backup-simplify]: Simplify (/ 1 1) into 1
7.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.985 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.985 * [taylor]: Taking taylor expansion of im in re
7.985 * [backup-simplify]: Simplify im into im
7.985 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.986 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.986 * [backup-simplify]: Simplify (+ 1 0) into 1
7.986 * [backup-simplify]: Simplify (sqrt 1) into 1
7.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.988 * [backup-simplify]: Simplify (+ 0 0) into 0
7.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.989 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.989 * [taylor]: Taking taylor expansion of re in re
7.989 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify 1 into 1
7.989 * [backup-simplify]: Simplify (/ 1 1) into 1
7.989 * [backup-simplify]: Simplify (- 1) into -1
7.990 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.991 * [backup-simplify]: Simplify (- 0) into 0
7.991 * [backup-simplify]: Simplify (+ 0 0) into 0
7.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.993 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.994 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.996 * [backup-simplify]: Simplify (- 0) into 0
7.996 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.996 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
7.996 * [backup-simplify]: Simplify (sqrt 0) into 0
7.997 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
7.997 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
7.997 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
7.997 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.997 * [taylor]: Taking taylor expansion of 2.0 in im
7.997 * [backup-simplify]: Simplify 2.0 into 2.0
7.997 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.998 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
7.998 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
7.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
7.998 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
7.998 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.999 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.999 * [taylor]: Taking taylor expansion of re in im
7.999 * [backup-simplify]: Simplify re into re
7.999 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.999 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.999 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.999 * [taylor]: Taking taylor expansion of im in im
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 1 into 1
7.999 * [backup-simplify]: Simplify (* 1 1) into 1
8.000 * [backup-simplify]: Simplify (/ 1 1) into 1
8.000 * [backup-simplify]: Simplify (+ 0 1) into 1
8.000 * [backup-simplify]: Simplify (sqrt 1) into 1
8.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (+ 0 0) into 0
8.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.003 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.003 * [taylor]: Taking taylor expansion of re in im
8.003 * [backup-simplify]: Simplify re into re
8.003 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.003 * [backup-simplify]: Simplify (+ 1 0) into 1
8.003 * [backup-simplify]: Simplify (/ 1 1) into 1
8.004 * [backup-simplify]: Simplify (sqrt 0) into 0
8.005 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.005 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
8.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.005 * [taylor]: Taking taylor expansion of 2.0 in im
8.005 * [backup-simplify]: Simplify 2.0 into 2.0
8.006 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.007 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.007 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
8.007 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
8.007 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.007 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.007 * [taylor]: Taking taylor expansion of re in im
8.007 * [backup-simplify]: Simplify re into re
8.007 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.007 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.007 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.007 * [taylor]: Taking taylor expansion of im in im
8.007 * [backup-simplify]: Simplify 0 into 0
8.007 * [backup-simplify]: Simplify 1 into 1
8.008 * [backup-simplify]: Simplify (* 1 1) into 1
8.008 * [backup-simplify]: Simplify (/ 1 1) into 1
8.008 * [backup-simplify]: Simplify (+ 0 1) into 1
8.009 * [backup-simplify]: Simplify (sqrt 1) into 1
8.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.010 * [backup-simplify]: Simplify (+ 0 0) into 0
8.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.011 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.011 * [taylor]: Taking taylor expansion of re in im
8.011 * [backup-simplify]: Simplify re into re
8.011 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.011 * [backup-simplify]: Simplify (+ 1 0) into 1
8.012 * [backup-simplify]: Simplify (/ 1 1) into 1
8.012 * [backup-simplify]: Simplify (sqrt 0) into 0
8.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.014 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.014 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0
8.014 * [taylor]: Taking taylor expansion of 0 in re
8.014 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.016 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.016 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
8.016 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.016 * [taylor]: Taking taylor expansion of +nan.0 in re
8.016 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.016 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.016 * [taylor]: Taking taylor expansion of 2.0 in re
8.016 * [backup-simplify]: Simplify 2.0 into 2.0
8.017 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.018 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.018 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
8.018 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
8.019 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
8.020 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.021 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.022 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))))
8.022 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))))) in re
8.023 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))) in re
8.023 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.023 * [taylor]: Taking taylor expansion of +nan.0 in re
8.023 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.023 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.023 * [taylor]: Taking taylor expansion of 2.0 in re
8.023 * [backup-simplify]: Simplify 2.0 into 2.0
8.023 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.024 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.024 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.024 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))) in re
8.024 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
8.024 * [taylor]: Taking taylor expansion of +nan.0 in re
8.024 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.024 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
8.024 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.024 * [taylor]: Taking taylor expansion of 2.0 in re
8.024 * [backup-simplify]: Simplify 2.0 into 2.0
8.025 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.025 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.025 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.025 * [taylor]: Taking taylor expansion of re in re
8.025 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify 1 into 1
8.026 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.026 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.027 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.027 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.028 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.028 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.029 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.029 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.030 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.030 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.031 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.031 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.033 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
8.034 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.035 * [backup-simplify]: Simplify (- 0) into 0
8.035 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
8.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
8.036 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
8.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.039 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
8.041 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))))))
8.041 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))))))) in re
8.041 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))))) in re
8.041 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
8.041 * [taylor]: Taking taylor expansion of +nan.0 in re
8.041 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.041 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.041 * [taylor]: Taking taylor expansion of 2.0 in re
8.041 * [backup-simplify]: Simplify 2.0 into 2.0
8.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.042 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.042 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.042 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))))) in re
8.042 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))) in re
8.042 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re
8.042 * [taylor]: Taking taylor expansion of +nan.0 in re
8.042 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.042 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re
8.042 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.042 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.043 * [taylor]: Taking taylor expansion of 2.0 in re
8.043 * [backup-simplify]: Simplify 2.0 into 2.0
8.043 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.044 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.044 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.044 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.044 * [taylor]: Taking taylor expansion of re in re
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify 1 into 1
8.044 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.045 * [backup-simplify]: Simplify (* 1 1) into 1
8.045 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.045 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))) in re
8.045 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
8.045 * [taylor]: Taking taylor expansion of +nan.0 in re
8.045 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.045 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
8.045 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
8.045 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.045 * [taylor]: Taking taylor expansion of 2.0 in re
8.045 * [backup-simplify]: Simplify 2.0 into 2.0
8.046 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.046 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.047 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.047 * [taylor]: Taking taylor expansion of re in re
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 1 into 1
8.047 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.048 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.048 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
8.051 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
8.052 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
8.052 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.053 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.053 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.054 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.054 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.055 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
8.058 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 3))) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 3))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 2))))))))
8.058 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2)
8.058 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
8.058 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
8.058 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
8.058 * [taylor]: Taking taylor expansion of re in im
8.058 * [backup-simplify]: Simplify re into re
8.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.058 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.058 * [taylor]: Taking taylor expansion of im in im
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.059 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.059 * [taylor]: Taking taylor expansion of re in im
8.059 * [backup-simplify]: Simplify re into re
8.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.059 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.059 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.059 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.059 * [backup-simplify]: Simplify (+ 0 0) into 0
8.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.060 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.060 * [taylor]: Taking taylor expansion of re in re
8.060 * [backup-simplify]: Simplify 0 into 0
8.060 * [backup-simplify]: Simplify 1 into 1
8.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.060 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.060 * [taylor]: Taking taylor expansion of im in re
8.060 * [backup-simplify]: Simplify im into im
8.060 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.060 * [taylor]: Taking taylor expansion of re in re
8.060 * [backup-simplify]: Simplify 0 into 0
8.060 * [backup-simplify]: Simplify 1 into 1
8.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.060 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.060 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.061 * [backup-simplify]: Simplify (+ 0 0) into 0
8.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.061 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.061 * [taylor]: Taking taylor expansion of re in re
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 1 into 1
8.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.061 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.061 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.061 * [taylor]: Taking taylor expansion of im in re
8.061 * [backup-simplify]: Simplify im into im
8.061 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.061 * [taylor]: Taking taylor expansion of re in re
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 1 into 1
8.061 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.062 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.062 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.062 * [backup-simplify]: Simplify (+ 0 0) into 0
8.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.062 * [backup-simplify]: Simplify (+ 0 im) into im
8.062 * [taylor]: Taking taylor expansion of im in im
8.062 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify (+ 1 0) into 1
8.063 * [taylor]: Taking taylor expansion of 1 in im
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [backup-simplify]: Simplify 1 into 1
8.064 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.064 * [backup-simplify]: Simplify (* 1 1) into 1
8.064 * [backup-simplify]: Simplify (+ 0 1) into 1
8.065 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.065 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
8.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.065 * [taylor]: Taking taylor expansion of 1/2 in im
8.065 * [backup-simplify]: Simplify 1/2 into 1/2
8.065 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.065 * [taylor]: Taking taylor expansion of im in im
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 1 into 1
8.066 * [backup-simplify]: Simplify (/ 1 1) into 1
8.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.069 * [backup-simplify]: Simplify (+ 0 0) into 0
8.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.069 * [backup-simplify]: Simplify (+ 0 0) into 0
8.069 * [taylor]: Taking taylor expansion of 0 in im
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 0 into 0
8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
8.072 * [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)))))
8.072 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
8.072 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.072 * [taylor]: Taking taylor expansion of re in im
8.072 * [backup-simplify]: Simplify re into re
8.072 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.072 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.072 * [taylor]: Taking taylor expansion of re in im
8.072 * [backup-simplify]: Simplify re into re
8.072 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.072 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.072 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.072 * [taylor]: Taking taylor expansion of im in im
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (* 1 1) into 1
8.073 * [backup-simplify]: Simplify (/ 1 1) into 1
8.073 * [backup-simplify]: Simplify (+ 0 1) into 1
8.074 * [backup-simplify]: Simplify (sqrt 1) into 1
8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.075 * [backup-simplify]: Simplify (+ 0 0) into 0
8.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.076 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.076 * [taylor]: Taking taylor expansion of re in re
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.077 * [backup-simplify]: Simplify (/ 1 1) into 1
8.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.077 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.077 * [taylor]: Taking taylor expansion of re in re
8.077 * [backup-simplify]: Simplify 0 into 0
8.077 * [backup-simplify]: Simplify 1 into 1
8.077 * [backup-simplify]: Simplify (* 1 1) into 1
8.078 * [backup-simplify]: Simplify (/ 1 1) into 1
8.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.078 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.078 * [taylor]: Taking taylor expansion of im in re
8.078 * [backup-simplify]: Simplify im into im
8.078 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.079 * [backup-simplify]: Simplify (+ 1 0) into 1
8.079 * [backup-simplify]: Simplify (sqrt 1) into 1
8.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.081 * [backup-simplify]: Simplify (+ 0 0) into 0
8.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.082 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.082 * [taylor]: Taking taylor expansion of re in re
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify 1 into 1
8.082 * [backup-simplify]: Simplify (/ 1 1) into 1
8.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.082 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.082 * [taylor]: Taking taylor expansion of re in re
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify 1 into 1
8.083 * [backup-simplify]: Simplify (* 1 1) into 1
8.083 * [backup-simplify]: Simplify (/ 1 1) into 1
8.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.083 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.083 * [taylor]: Taking taylor expansion of im in re
8.083 * [backup-simplify]: Simplify im into im
8.083 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.084 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.084 * [backup-simplify]: Simplify (+ 1 0) into 1
8.084 * [backup-simplify]: Simplify (sqrt 1) into 1
8.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.089 * [backup-simplify]: Simplify (+ 1 1) into 2
8.089 * [taylor]: Taking taylor expansion of 2 in im
8.089 * [backup-simplify]: Simplify 2 into 2
8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ 0 0) into 0
8.090 * [taylor]: Taking taylor expansion of 0 in im
8.090 * [backup-simplify]: Simplify 0 into 0
8.090 * [backup-simplify]: Simplify 2 into 2
8.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.094 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.094 * [taylor]: Taking taylor expansion of 1/2 in im
8.094 * [backup-simplify]: Simplify 1/2 into 1/2
8.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.094 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.094 * [taylor]: Taking taylor expansion of im in im
8.094 * [backup-simplify]: Simplify 0 into 0
8.094 * [backup-simplify]: Simplify 1 into 1
8.095 * [backup-simplify]: Simplify (* 1 1) into 1
8.095 * [backup-simplify]: Simplify (/ 1 1) into 1
8.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.101 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.102 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [taylor]: Taking taylor expansion of 0 in im
8.102 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
8.105 * [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))
8.105 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
8.105 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.106 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.106 * [taylor]: Taking taylor expansion of re in im
8.106 * [backup-simplify]: Simplify re into re
8.106 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.106 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.106 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.106 * [taylor]: Taking taylor expansion of im in im
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify 1 into 1
8.106 * [backup-simplify]: Simplify (* 1 1) into 1
8.107 * [backup-simplify]: Simplify (/ 1 1) into 1
8.108 * [backup-simplify]: Simplify (+ 0 1) into 1
8.108 * [backup-simplify]: Simplify (sqrt 1) into 1
8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.110 * [backup-simplify]: Simplify (+ 0 0) into 0
8.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.110 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.110 * [taylor]: Taking taylor expansion of re in im
8.110 * [backup-simplify]: Simplify re into re
8.110 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.111 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.111 * [taylor]: Taking taylor expansion of re in re
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify 1 into 1
8.111 * [backup-simplify]: Simplify (* 1 1) into 1
8.111 * [backup-simplify]: Simplify (/ 1 1) into 1
8.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.111 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.111 * [taylor]: Taking taylor expansion of im in re
8.111 * [backup-simplify]: Simplify im into im
8.112 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.112 * [backup-simplify]: Simplify (+ 1 0) into 1
8.113 * [backup-simplify]: Simplify (sqrt 1) into 1
8.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.114 * [backup-simplify]: Simplify (+ 0 0) into 0
8.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.115 * [taylor]: Taking taylor expansion of re in re
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.115 * [backup-simplify]: Simplify (/ 1 1) into 1
8.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.115 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.116 * [taylor]: Taking taylor expansion of re in re
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify (* 1 1) into 1
8.116 * [backup-simplify]: Simplify (/ 1 1) into 1
8.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.116 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.116 * [taylor]: Taking taylor expansion of im in re
8.116 * [backup-simplify]: Simplify im into im
8.117 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.117 * [backup-simplify]: Simplify (+ 1 0) into 1
8.118 * [backup-simplify]: Simplify (sqrt 1) into 1
8.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.119 * [backup-simplify]: Simplify (+ 0 0) into 0
8.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.120 * [taylor]: Taking taylor expansion of re in re
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 1 into 1
8.120 * [backup-simplify]: Simplify (/ 1 1) into 1
8.121 * [backup-simplify]: Simplify (- 1) into -1
8.121 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.121 * [taylor]: Taking taylor expansion of 0 in im
8.121 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.122 * [backup-simplify]: Simplify (- 0) into 0
8.123 * [backup-simplify]: Simplify (+ 0 0) into 0
8.123 * [taylor]: Taking taylor expansion of 0 in im
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 0 into 0
8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.128 * [backup-simplify]: Simplify (- 0) into 0
8.128 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.128 * [taylor]: Taking taylor expansion of 1/2 in im
8.128 * [backup-simplify]: Simplify 1/2 into 1/2
8.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.128 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.128 * [taylor]: Taking taylor expansion of im in im
8.128 * [backup-simplify]: Simplify 0 into 0
8.128 * [backup-simplify]: Simplify 1 into 1
8.129 * [backup-simplify]: Simplify (* 1 1) into 1
8.129 * [backup-simplify]: Simplify (/ 1 1) into 1
8.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.131 * [backup-simplify]: Simplify 0 into 0
8.131 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.134 * [backup-simplify]: Simplify (+ 0 0) into 0
8.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.136 * [backup-simplify]: Simplify (- 0) into 0
8.137 * [backup-simplify]: Simplify (+ 0 0) into 0
8.137 * [taylor]: Taking taylor expansion of 0 in im
8.137 * [backup-simplify]: Simplify 0 into 0
8.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
8.140 * [backup-simplify]: Simplify (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) into (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2)))))
8.140 * [approximate]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0
8.140 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
8.140 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re
8.140 * [taylor]: Taking taylor expansion of (fabs im) in re
8.140 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.140 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.140 * [taylor]: Taking taylor expansion of re in re
8.140 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify 1 into 1
8.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.140 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.140 * [taylor]: Taking taylor expansion of im in re
8.140 * [backup-simplify]: Simplify im into im
8.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.140 * [taylor]: Taking taylor expansion of re in re
8.140 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify 1 into 1
8.141 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.141 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.141 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.141 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.141 * [backup-simplify]: Simplify (+ 0 0) into 0
8.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.142 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2)
8.142 * [backup-simplify]: Simplify (+ 0 im) into im
8.142 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) im) into (/ (pow (fabs im) 2) im)
8.142 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
8.142 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im
8.142 * [taylor]: Taking taylor expansion of (fabs im) in im
8.142 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.142 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
8.142 * [taylor]: Taking taylor expansion of re in im
8.142 * [backup-simplify]: Simplify re into re
8.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.142 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.142 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.142 * [taylor]: Taking taylor expansion of im in im
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.142 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.142 * [taylor]: Taking taylor expansion of re in im
8.142 * [backup-simplify]: Simplify re into re
8.142 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.143 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.143 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.143 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.143 * [backup-simplify]: Simplify (+ 0 0) into 0
8.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.144 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2)
8.144 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
8.144 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) (* 2 re)) into (* 1/2 (/ (pow (fabs im) 2) re))
8.144 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
8.144 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im
8.144 * [taylor]: Taking taylor expansion of (fabs im) in im
8.144 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.144 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
8.144 * [taylor]: Taking taylor expansion of re in im
8.144 * [backup-simplify]: Simplify re into re
8.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.144 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.144 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.144 * [taylor]: Taking taylor expansion of im in im
8.144 * [backup-simplify]: Simplify 0 into 0
8.144 * [backup-simplify]: Simplify 1 into 1
8.144 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.144 * [taylor]: Taking taylor expansion of re in im
8.144 * [backup-simplify]: Simplify re into re
8.144 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.144 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.145 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.145 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.145 * [backup-simplify]: Simplify (+ 0 0) into 0
8.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.145 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2)
8.145 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
8.146 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) (* 2 re)) into (* 1/2 (/ (pow (fabs im) 2) re))
8.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs im) 2) re)) in re
8.146 * [taylor]: Taking taylor expansion of 1/2 in re
8.146 * [backup-simplify]: Simplify 1/2 into 1/2
8.146 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) re) in re
8.146 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re
8.146 * [taylor]: Taking taylor expansion of (fabs im) in re
8.146 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.146 * [taylor]: Taking taylor expansion of re in re
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2)
8.146 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) 1) into (pow (fabs im) 2)
8.146 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0
8.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)))) into 0
8.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (fabs im) 2))) into 0
8.147 * [backup-simplify]: Simplify 0 into 0
8.147 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0
8.148 * [backup-simplify]: Simplify (+ 0 0) into 0
8.148 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (* 1/2 (/ (pow (fabs im) 2) re)) (/ 0 (* 2 re))))) into 0
8.148 * [taylor]: Taking taylor expansion of 0 in re
8.148 * [backup-simplify]: Simplify 0 into 0
8.148 * [backup-simplify]: Simplify 0 into 0
8.148 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0
8.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (fabs im) 2)))) into 0
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0
8.150 * [backup-simplify]: Simplify (* 1 1) into 1
8.151 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.151 * [backup-simplify]: Simplify (+ 1 0) into 1
8.151 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.151 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
8.152 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (* 1/2 (/ (pow (fabs im) 2) re)) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ (pow (fabs im) 2) (pow re 3))))
8.152 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (pow (fabs im) 2) (pow re 3)))) in re
8.152 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (fabs im) 2) (pow re 3))) in re
8.152 * [taylor]: Taking taylor expansion of 1/8 in re
8.152 * [backup-simplify]: Simplify 1/8 into 1/8
8.152 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (pow re 3)) in re
8.152 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re
8.152 * [taylor]: Taking taylor expansion of (fabs im) in re
8.152 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.152 * [taylor]: Taking taylor expansion of (pow re 3) in re
8.152 * [taylor]: Taking taylor expansion of re in re
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [backup-simplify]: Simplify 1 into 1
8.152 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2)
8.152 * [backup-simplify]: Simplify (* 1 1) into 1
8.153 * [backup-simplify]: Simplify (* 1 1) into 1
8.153 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) 1) into (pow (fabs im) 2)
8.153 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs im))))) into 0
8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0
8.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)))) into 0
8.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.157 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0
8.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.160 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fabs im) 2))))) into 0
8.160 * [backup-simplify]: Simplify (- 0) into 0
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs im))))) into 0
8.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fabs im) 2))))) into 0
8.163 * [backup-simplify]: Simplify 0 into 0
8.163 * [backup-simplify]: Simplify 0 into 0
8.163 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (/ (fabs (/ 1 im)) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))
8.163 * [approximate]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (im re) around 0
8.163 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
8.163 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re
8.163 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.163 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.164 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.164 * [taylor]: Taking taylor expansion of re in re
8.164 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify 1 into 1
8.164 * [backup-simplify]: Simplify (/ 1 1) into 1
8.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.164 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.164 * [taylor]: Taking taylor expansion of re in re
8.164 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify 1 into 1
8.164 * [backup-simplify]: Simplify (* 1 1) into 1
8.164 * [backup-simplify]: Simplify (/ 1 1) into 1
8.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.164 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.165 * [taylor]: Taking taylor expansion of im in re
8.165 * [backup-simplify]: Simplify im into im
8.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.165 * [backup-simplify]: Simplify (+ 1 0) into 1
8.165 * [backup-simplify]: Simplify (sqrt 1) into 1
8.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.167 * [backup-simplify]: Simplify (+ 0 0) into 0
8.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.168 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2)
8.168 * [backup-simplify]: Simplify (+ 1 1) into 2
8.169 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 2) into (* 1/2 (pow (fabs (/ 1 im)) 2))
8.169 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
8.169 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im
8.169 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.169 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.169 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.169 * [taylor]: Taking taylor expansion of re in im
8.169 * [backup-simplify]: Simplify re into re
8.169 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.169 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.169 * [taylor]: Taking taylor expansion of re in im
8.169 * [backup-simplify]: Simplify re into re
8.169 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.169 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.169 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.169 * [taylor]: Taking taylor expansion of im in im
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 1 into 1
8.170 * [backup-simplify]: Simplify (* 1 1) into 1
8.170 * [backup-simplify]: Simplify (/ 1 1) into 1
8.171 * [backup-simplify]: Simplify (+ 0 1) into 1
8.171 * [backup-simplify]: Simplify (sqrt 1) into 1
8.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.173 * [backup-simplify]: Simplify (+ 0 0) into 0
8.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.173 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2)
8.174 * [backup-simplify]: Simplify (+ 0 1) into 1
8.174 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2)
8.174 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
8.174 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im
8.174 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.174 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.174 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.174 * [taylor]: Taking taylor expansion of re in im
8.174 * [backup-simplify]: Simplify re into re
8.175 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.175 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.175 * [taylor]: Taking taylor expansion of re in im
8.175 * [backup-simplify]: Simplify re into re
8.175 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.175 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.175 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.175 * [taylor]: Taking taylor expansion of im in im
8.175 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify 1 into 1
8.175 * [backup-simplify]: Simplify (* 1 1) into 1
8.176 * [backup-simplify]: Simplify (/ 1 1) into 1
8.176 * [backup-simplify]: Simplify (+ 0 1) into 1
8.177 * [backup-simplify]: Simplify (sqrt 1) into 1
8.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.178 * [backup-simplify]: Simplify (+ 0 0) into 0
8.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.179 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2)
8.180 * [backup-simplify]: Simplify (+ 0 1) into 1
8.180 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2)
8.180 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re
8.180 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.180 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.180 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0
8.180 * [backup-simplify]: Simplify 0 into 0
8.181 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0
8.181 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
8.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ (/ 1 re) 1)))) into (- (/ (pow (fabs (/ 1 im)) 2) re))
8.182 * [taylor]: Taking taylor expansion of (- (/ (pow (fabs (/ 1 im)) 2) re)) in re
8.182 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) re) in re
8.182 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re
8.182 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.182 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.182 * [taylor]: Taking taylor expansion of re in re
8.182 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify 1 into 1
8.182 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2)
8.182 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2)
8.183 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
8.183 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0
8.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)))) into 0
8.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.186 * [backup-simplify]: Simplify (- 0) into 0
8.186 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
8.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.190 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
8.191 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.191 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
8.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ (pow (fabs (/ 1 im)) 2) re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ (pow (fabs (/ 1 im)) 2) (pow re 2)))
8.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ 1 im)) 2) (pow re 2))) in re
8.192 * [taylor]: Taking taylor expansion of 1/2 in re
8.193 * [backup-simplify]: Simplify 1/2 into 1/2
8.193 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (pow re 2)) in re
8.193 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re
8.193 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.193 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.193 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.193 * [taylor]: Taking taylor expansion of re in re
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 1 into 1
8.193 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2)
8.194 * [backup-simplify]: Simplify (* 1 1) into 1
8.194 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2)
8.195 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0
8.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.196 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0
8.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.199 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
8.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fabs (/ 1 im)) 2))))) into 0
8.204 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0
8.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (- 0) into 0
8.207 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify (* (fabs (/ 1 (- im))) (/ (fabs (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))
8.209 * [approximate]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (im re) around 0
8.209 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
8.209 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re
8.209 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.210 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.210 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.210 * [taylor]: Taking taylor expansion of re in re
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify 1 into 1
8.210 * [backup-simplify]: Simplify (* 1 1) into 1
8.211 * [backup-simplify]: Simplify (/ 1 1) into 1
8.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.211 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.211 * [taylor]: Taking taylor expansion of im in re
8.211 * [backup-simplify]: Simplify im into im
8.211 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.212 * [backup-simplify]: Simplify (+ 1 0) into 1
8.212 * [backup-simplify]: Simplify (sqrt 1) into 1
8.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.214 * [backup-simplify]: Simplify (+ 0 0) into 0
8.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.215 * [taylor]: Taking taylor expansion of re in re
8.215 * [backup-simplify]: Simplify 0 into 0
8.215 * [backup-simplify]: Simplify 1 into 1
8.215 * [backup-simplify]: Simplify (/ 1 1) into 1
8.215 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2)
8.216 * [backup-simplify]: Simplify (- 1) into -1
8.216 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.217 * [backup-simplify]: Simplify (- 0) into 0
8.218 * [backup-simplify]: Simplify (+ 0 0) into 0
8.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.222 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (- 0) into 0
8.223 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.224 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) (* 1/2 (/ 1 (pow im 2)))) into (* 2 (* (pow im 2) (pow (fabs (/ -1 im)) 2)))
8.224 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
8.224 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im
8.224 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.224 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.224 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.224 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.224 * [taylor]: Taking taylor expansion of re in im
8.224 * [backup-simplify]: Simplify re into re
8.224 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.224 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.224 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.225 * [taylor]: Taking taylor expansion of im in im
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 1 into 1
8.225 * [backup-simplify]: Simplify (* 1 1) into 1
8.226 * [backup-simplify]: Simplify (/ 1 1) into 1
8.229 * [backup-simplify]: Simplify (+ 0 1) into 1
8.229 * [backup-simplify]: Simplify (sqrt 1) into 1
8.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (+ 0 0) into 0
8.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.232 * [taylor]: Taking taylor expansion of re in im
8.232 * [backup-simplify]: Simplify re into re
8.232 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.233 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2)
8.233 * [backup-simplify]: Simplify (+ 1 0) into 1
8.233 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2)
8.233 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
8.233 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im
8.233 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.234 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.234 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.234 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.234 * [taylor]: Taking taylor expansion of re in im
8.234 * [backup-simplify]: Simplify re into re
8.234 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.234 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.234 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.234 * [taylor]: Taking taylor expansion of im in im
8.234 * [backup-simplify]: Simplify 0 into 0
8.234 * [backup-simplify]: Simplify 1 into 1
8.235 * [backup-simplify]: Simplify (* 1 1) into 1
8.235 * [backup-simplify]: Simplify (/ 1 1) into 1
8.235 * [backup-simplify]: Simplify (+ 0 1) into 1
8.236 * [backup-simplify]: Simplify (sqrt 1) into 1
8.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.238 * [backup-simplify]: Simplify (+ 0 0) into 0
8.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.238 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.238 * [taylor]: Taking taylor expansion of re in im
8.239 * [backup-simplify]: Simplify re into re
8.239 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.239 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2)
8.239 * [backup-simplify]: Simplify (+ 1 0) into 1
8.240 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2)
8.240 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re
8.240 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.240 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.240 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0
8.240 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
8.240 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
8.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ (- (/ 1 re)) 1)))) into (/ (pow (fabs (/ -1 im)) 2) re)
8.241 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) re) in re
8.241 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re
8.241 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.242 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.242 * [taylor]: Taking taylor expansion of re in re
8.242 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify 1 into 1
8.242 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2)
8.242 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2)
8.242 * [backup-simplify]: Simplify (pow (fabs (/ -1 im)) 2) into (pow (fabs (/ -1 im)) 2)
8.242 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2)
8.243 * [backup-simplify]: Simplify (pow (fabs (/ -1 im)) 2) into (pow (fabs (/ -1 im)) 2)
8.244 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.246 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
8.247 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
8.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.248 * [backup-simplify]: Simplify (- 0) into 0
8.248 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
8.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ (pow (fabs (/ -1 im)) 2) re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ (pow (fabs (/ -1 im)) 2) (pow re 2)))
8.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ -1 im)) 2) (pow re 2))) in re
8.249 * [taylor]: Taking taylor expansion of 1/2 in re
8.249 * [backup-simplify]: Simplify 1/2 into 1/2
8.249 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (pow re 2)) in re
8.250 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re
8.250 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
8.250 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.250 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.250 * [taylor]: Taking taylor expansion of re in re
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 1 into 1
8.250 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2)
8.250 * [backup-simplify]: Simplify (* 1 1) into 1
8.251 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2)
8.251 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0
8.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)))) into 0
8.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (fabs (/ -1 im)) 2))) into 0
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0
8.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)))) into 0
8.254 * [backup-simplify]: Simplify 0 into 0
8.254 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0
8.254 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
8.255 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.258 * [backup-simplify]: Simplify (+ 0 0) into 0
8.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
8.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.259 * [backup-simplify]: Simplify (- 0) into 0
8.259 * [backup-simplify]: Simplify (+ 0 0) into 0
8.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* (/ (pow (fabs (/ -1 im)) 2) re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ (pow (fabs (/ -1 im)) 2) (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
8.261 * [taylor]: Taking taylor expansion of 0 in re
8.261 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (fabs (/ -1 im)) 2)))) into 0
8.266 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.268 * [backup-simplify]: Simplify 0 into 0
8.269 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.269 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify (+ (* (pow (fabs (/ -1 (/ 1 (- im)))) 2) (* 1 (/ 1 (- im)))) (* (pow (fabs (/ -1 (/ 1 (- im)))) 2) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2)))) into (- (+ (/ (pow (fabs im) 2) im) (/ (* (pow (fabs im) 2) re) (pow im 2))))
8.270 * * * [progress]: simplifying candidates
8.272 * [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 (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (exp (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))
  (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (* (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt 2.0)
  (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (* (fabs im) (fabs im))))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))
  (* (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)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (+ (log (fabs im)) (- (log (fabs im)) (log (+ (sqrt (+ (* re re) (* im im))) re))))
  (+ (log (fabs im)) (log (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (log (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* (fabs im) (fabs im)) (fabs im)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (fabs im) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1))
  (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1))
  (* (fabs im) (/ (sqrt (fabs im)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (/ (sqrt (fabs im)) 1))
  (* (fabs im) (/ (sqrt (fabs im)) 1))
  (* (fabs im) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (fabs im) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (/ 1 1))
  (* (fabs im) (/ 1 1))
  (* (fabs im) 1)
  (* (fabs im) (fabs im))
  (* (fabs im) (/ (fabs im) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (* (fabs im) (/ (fabs im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (* (cbrt (fabs im)) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt (fabs im)) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (fabs im) (fabs im))
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs im) (* re (sqrt 1/2))))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2)))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 3))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 3))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 2))))))))
  (+ re im)
  (* 2 re)
  0
  0
  0
  (- (+ (/ (pow (fabs im) 2) im) (/ (* (pow (fabs im) 2) re) (pow im 2))))
8.276 * * [simplify]: iteration 0: 179 enodes
8.340 * * [simplify]: iteration 1: 480 enodes
8.543 * * [simplify]: iteration 2: 1674 enodes
9.304 * * [simplify]: iteration complete: 5001 enodes
9.304 * * [simplify]: Extracting #0: cost 68 inf + 0
9.305 * * [simplify]: Extracting #1: cost 331 inf + 5
9.308 * * [simplify]: Extracting #2: cost 962 inf + 2086
9.317 * * [simplify]: Extracting #3: cost 1364 inf + 36127
9.351 * * [simplify]: Extracting #4: cost 728 inf + 173216
9.424 * * [simplify]: Extracting #5: cost 181 inf + 318717
9.532 * * [simplify]: Extracting #6: cost 10 inf + 371571
9.630 * * [simplify]: Extracting #7: cost 0 inf + 374490
9.726 * [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) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt 2.0)
  (sqrt (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* (fabs im) (* 2.0 (fabs im))))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  1/2
  (sqrt (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (/ (* 2.0 (* (fabs im) (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))
  (+ (* re re) (* (sqrt (+ (* re re) (* im im))) (- (sqrt (+ (* re re) (* im im))) re)))
  (+ (* im im) 0)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (log (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (fabs im)) (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) (fabs im))
  (* (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im))
  (* (* (fabs im) (/ (cbrt (fabs im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (fabs im)) (* (cbrt (fabs im)) (fabs im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (fabs im)) (* (cbrt (fabs im)) (fabs im)))
  (* (cbrt (fabs im)) (* (cbrt (fabs im)) (fabs im)))
  (/ (* (fabs im) (sqrt (fabs im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (fabs im) (sqrt (fabs im)))
  (* (fabs im) (sqrt (fabs im)))
  (/ (fabs im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (fabs im)
  (fabs im)
  (fabs im)
  (* (fabs im) (fabs im))
  (* (/ (fabs im) (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))) (fabs im))
  (/ (* (fabs im) (fabs im)) (+ (* im im) 0))
  (/ (* (cbrt (fabs im)) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (* (fabs im) (sqrt (fabs im))) (+ (sqrt (+ (* re re) (* im im))) re))
  (/ (* (fabs im) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re))
  (* (fabs im) (fabs im))
  im
  re
  (- re)
  (- (- (* (/ (sqrt 2.0) (/ (sqrt 1/2) (* (* im im) (fabs im)))) +nan.0) (* +nan.0 (* (* (sqrt 2.0) (fabs im)) (- (* (sqrt 1/2) re) (sqrt 1/2))))))
  (+ (* (/ (* (sqrt 2.0) (fabs im)) im) (- (/ +nan.0 im) (/ +nan.0 (* im im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im))))
  (- (- (* (/ (sqrt 2.0) (/ (/ (* im im) re) (fabs im))) (- (/ +nan.0 im) (- +nan.0))) (/ (* (* (sqrt 2.0) (fabs im)) +nan.0) im)))
  (+ re im)
  (* re 2)
  0
  0
  0
  (- (- (/ (* (fabs im) (fabs im)) im)) (* (/ re im) (/ (* (fabs im) (fabs im)) im)))
9.741 * * * [progress]: adding candidates to table
10.213 * [progress]: [Phase 3 of 3] Extracting.
10.213 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ im re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.218 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
10.218 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ im re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.312 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.359 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ im re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.474 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ im re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
10.558 * * * [regime]: Found split indices: #<option (#s(si 1 34) #s(si 2 40) #s(si 0 84) #s(si 6 163) #s(si 5 198) #s(si 6 204) #s(si 3 219) #s(si 4 255))>
10.560 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ im re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.160 * [regimes]: Found splitpoints: (#s(sp 1 im -1.83059393992081e+158) #s(sp 2 im -1.2297103312292532e+117) #s(sp 0 im -9.390513393497782e-96) #s(sp 6 im 1.0325561614582738e-163) #s(sp 5 im 6.939159969879892e+19) #s(sp 6 im 2.580378641751245e+36) #s(sp 3 im 8.312232129912929e+97) #s(sp 4 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ re re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ im re)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
11.162 * [simplify]: Simplifying:
  (if (<= im -1.83059393992081e+158) (* 0.5 (sqrt (* 2.0 (- (+ re im))))) (if (<= im -1.2297103312292532e+117) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ re re)))))) (if (<= im -9.390513393497782e-96) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (if (<= im 1.0325561614582738e-163) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= im 6.939159969879892e+19) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (if (<= im 2.580378641751245e+36) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= im 8.312232129912929e+97) (* 0.5 (sqrt (* 2.0 (* (* (fabs im) (* (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))))))) (* 0.5 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ im re)))))))))))))
11.163 * * [simplify]: iteration 0: 73 enodes
11.171 * * [simplify]: iteration 1: 101 enodes
11.179 * * [simplify]: iteration 2: 106 enodes
11.186 * * [simplify]: iteration 3: 107 enodes
11.194 * * [simplify]: iteration complete: 107 enodes
11.194 * * [simplify]: Extracting #0: cost 1 inf + 0
11.194 * * [simplify]: Extracting #1: cost 4 inf + 0
11.194 * * [simplify]: Extracting #2: cost 11 inf + 0
11.194 * * [simplify]: Extracting #3: cost 14 inf + 3
11.194 * * [simplify]: Extracting #4: cost 23 inf + 71
11.194 * * [simplify]: Extracting #5: cost 29 inf + 207
11.195 * * [simplify]: Extracting #6: cost 33 inf + 291
11.195 * * [simplify]: Extracting #7: cost 33 inf + 1001
11.196 * * [simplify]: Extracting #8: cost 35 inf + 1531
11.196 * * [simplify]: Extracting #9: cost 34 inf + 1884
11.197 * * [simplify]: Extracting #10: cost 32 inf + 2360
11.198 * * [simplify]: Extracting #11: cost 31 inf + 3135
11.199 * * [simplify]: Extracting #12: cost 30 inf + 3420
11.201 * * [simplify]: Extracting #13: cost 28 inf + 3744
11.202 * * [simplify]: Extracting #14: cost 24 inf + 4673
11.204 * * [simplify]: Extracting #15: cost 17 inf + 7093
11.206 * * [simplify]: Extracting #16: cost 14 inf + 8420
11.209 * * [simplify]: Extracting #17: cost 11 inf + 9949
11.212 * * [simplify]: Extracting #18: cost 10 inf + 10431
11.215 * * [simplify]: Extracting #19: cost 8 inf + 11517
11.219 * * [simplify]: Extracting #20: cost 7 inf + 12121
11.224 * * [simplify]: Extracting #21: cost 3 inf + 17690
11.232 * * [simplify]: Extracting #22: cost 0 inf + 25143
11.239 * [simplify]: Simplified to:
  (if (<= im -1.83059393992081e+158) (* 0.5 (sqrt (* (- (+ re im)) 2.0))) (if (<= im -1.2297103312292532e+117) (* 0.5 (sqrt (* (* (fabs im) (/ (fabs im) (+ re re))) 2.0))) (if (<= im -9.390513393497782e-96) (* 0.5 (sqrt (* 2.0 (* (* (/ (sqrt (fabs im)) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (fabs im)) (/ (sqrt (fabs im)) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))))) (if (<= im 1.0325561614582738e-163) (* (sqrt (* (* re -2) 2.0)) 0.5) (if (<= im 6.939159969879892e+19) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (if (<= im 2.580378641751245e+36) (* (sqrt (* (* re -2) 2.0)) 0.5) (if (<= im 8.312232129912929e+97) (* (sqrt (* (* (* (* (cbrt (/ (fabs im) (+ re (sqrt (+ (* im im) (* re re)))))) (cbrt (/ (fabs im) (+ re (sqrt (+ (* im im) (* re re))))))) (fabs im)) (cbrt (/ (fabs im) (+ re (sqrt (+ (* im im) (* re re))))))) 2.0)) 0.5) (* (sqrt (* (* (/ (fabs im) (+ re im)) (fabs im)) 2.0)) 0.5))))))))
14.604 * [regime-testing]: Baseline error score: 45.052446504584076
14.620 * [regime-testing]: Oracle error score: 5.63411121016979
14.644 * [regime-testing]: End program error score: 24.9752136782503