0.892 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.205 * * * [progress]: [2/2] Setting up program. 0.212 * [progress]: [Phase 2 of 3] Improving. 0.213 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.216 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.218 * * [simplify]: iteration 0: 12 enodes 0.227 * * [simplify]: iteration 1: 17 enodes 0.232 * * [simplify]: iteration 2: 24 enodes 0.240 * * [simplify]: iteration 3: 30 enodes 0.250 * * [simplify]: iteration 4: 35 enodes 0.259 * * [simplify]: iteration complete: 35 enodes 0.259 * * [simplify]: Extracting #0: cost 1 inf + 0 0.260 * * [simplify]: Extracting #1: cost 3 inf + 0 0.260 * * [simplify]: Extracting #2: cost 3 inf + 1 0.260 * * [simplify]: Extracting #3: cost 8 inf + 1 0.260 * * [simplify]: Extracting #4: cost 11 inf + 2 0.261 * * [simplify]: Extracting #5: cost 7 inf + 209 0.261 * * [simplify]: Extracting #6: cost 9 inf + 209 0.261 * * [simplify]: Extracting #7: cost 9 inf + 250 0.261 * * [simplify]: Extracting #8: cost 7 inf + 292 0.261 * * [simplify]: Extracting #9: cost 5 inf + 576 0.262 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.262 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.263 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.272 * * [progress]: iteration 1 / 4 0.272 * * * [progress]: picking best candidate 0.279 * * * * [pick]: Picked # 0.279 * * * [progress]: localizing error 0.324 * * * [progress]: generating rewritten candidates 0.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.812 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.869 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.877 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.915 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.915 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.916 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.916 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.916 * [taylor]: Taking taylor expansion of im in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.916 * [taylor]: Taking taylor expansion of re in im 0.916 * [backup-simplify]: Simplify re into re 0.917 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.917 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.917 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.917 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.918 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.918 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.918 * [taylor]: Taking taylor expansion of im in re 0.918 * [backup-simplify]: Simplify im into im 0.918 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.918 * [taylor]: Taking taylor expansion of re in re 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.918 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.918 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.918 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.919 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.919 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.919 * [taylor]: Taking taylor expansion of im in re 0.919 * [backup-simplify]: Simplify im into im 0.919 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.919 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.919 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.919 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify 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 0.920 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.921 * [backup-simplify]: Simplify (* 1 1) into 1 0.922 * [backup-simplify]: Simplify (+ 0 1) into 1 0.922 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.922 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.922 * [taylor]: Taking taylor expansion of 1/2 in im 0.922 * [backup-simplify]: Simplify 1/2 into 1/2 0.922 * [taylor]: Taking taylor expansion of im in im 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.925 * [taylor]: Taking taylor expansion of 0 in im 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.926 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.926 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.926 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.926 * [taylor]: Taking taylor expansion of re in im 0.926 * [backup-simplify]: Simplify re into re 0.926 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.926 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.926 * [taylor]: Taking taylor expansion of im in im 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.927 * [backup-simplify]: Simplify (/ 1 1) into 1 0.927 * [backup-simplify]: Simplify (+ 0 1) into 1 0.927 * [backup-simplify]: Simplify (sqrt 1) into 1 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.929 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.929 * [taylor]: Taking taylor expansion of re in re 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (* 1 1) into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.929 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.929 * [taylor]: Taking taylor expansion of im in re 0.929 * [backup-simplify]: Simplify im into im 0.929 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.929 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.930 * [backup-simplify]: Simplify (+ 1 0) into 1 0.930 * [backup-simplify]: Simplify (sqrt 1) into 1 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.931 * [taylor]: Taking taylor expansion of re in re 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (* 1 1) into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.932 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.932 * [taylor]: Taking taylor expansion of im in re 0.932 * [backup-simplify]: Simplify im into im 0.932 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.932 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.932 * [backup-simplify]: Simplify (+ 1 0) into 1 0.933 * [backup-simplify]: Simplify (sqrt 1) into 1 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.934 * [taylor]: Taking taylor expansion of 1 in im 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of 0 in im 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.936 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.936 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.936 * [taylor]: Taking taylor expansion of 1/2 in im 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.942 * [taylor]: Taking taylor expansion of 0 in im 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.945 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.945 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.945 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.945 * [taylor]: Taking taylor expansion of re in im 0.945 * [backup-simplify]: Simplify re into re 0.945 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.945 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (* 1 1) into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [backup-simplify]: Simplify (+ 0 1) into 1 0.947 * [backup-simplify]: Simplify (sqrt 1) into 1 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.950 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (* 1 1) into 1 0.951 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.951 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.951 * [taylor]: Taking taylor expansion of im in re 0.951 * [backup-simplify]: Simplify im into im 0.951 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.951 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.951 * [backup-simplify]: Simplify (+ 1 0) into 1 0.952 * [backup-simplify]: Simplify (sqrt 1) into 1 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.953 * [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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.954 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [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 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.959 * [taylor]: Taking taylor expansion of 1 in im 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of 0 in im 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.962 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.962 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.962 * [taylor]: Taking taylor expansion of 1/2 in im 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (* 1 1) into 1 0.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.968 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.968 * [taylor]: Taking taylor expansion of 0 in im 0.969 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.971 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.972 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.972 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.972 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.972 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.972 * [taylor]: Taking taylor expansion of im in im 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.972 * [taylor]: Taking taylor expansion of re in im 0.972 * [backup-simplify]: Simplify re into re 0.972 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.972 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.972 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.972 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.973 * [taylor]: Taking taylor expansion of re in im 0.973 * [backup-simplify]: Simplify re into re 0.973 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.973 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.973 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.973 * [taylor]: Taking taylor expansion of im in re 0.973 * [backup-simplify]: Simplify im into im 0.973 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.973 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.973 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.974 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.974 * [backup-simplify]: Simplify im into im 0.974 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.975 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.975 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.975 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 0.976 * [backup-simplify]: Simplify (- 0) into 0 0.976 * [backup-simplify]: Simplify (+ im 0) into im 0.976 * [taylor]: Taking taylor expansion of im in im 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (- 1) into -1 0.977 * [backup-simplify]: Simplify (+ 0 -1) 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 into -1 0.977 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (+ 0 1) into 1 0.980 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.980 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.980 * [taylor]: Taking taylor expansion of 1/2 in im 0.980 * [backup-simplify]: Simplify 1/2 into 1/2 0.980 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 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 (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.985 * [backup-simplify]: Simplify (- 0) 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 0 into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.988 * [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)) 0.988 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.988 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.988 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [backup-simplify]: Simplify re into re 0.988 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.988 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.988 * [taylor]: Taking taylor expansion of im in im 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 0.990 * [backup-simplify]: Simplify (+ 0 1) into 1 0.990 * [backup-simplify]: Simplify (sqrt 1) into 1 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.993 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.993 * [taylor]: Taking taylor expansion of re in im 0.993 * [backup-simplify]: Simplify re into re 0.993 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.994 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [backup-simplify]: Simplify (* 1 1) into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.995 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.995 * [taylor]: Taking taylor expansion of im in re 0.995 * [backup-simplify]: Simplify im into im 0.995 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.995 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.995 * [backup-simplify]: Simplify (+ 1 0) into 1 0.996 * [backup-simplify]: Simplify (sqrt 1) into 1 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.998 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.998 * [taylor]: Taking taylor expansion of re in re 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.999 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.999 * [taylor]: Taking taylor expansion of re in re 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.000 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [backup-simplify]: Simplify im into im 1.000 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.000 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.000 * [backup-simplify]: Simplify (+ 1 0) into 1 1.001 * [backup-simplify]: Simplify (sqrt 1) into 1 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [backup-simplify]: Simplify (- 1) into -1 1.005 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.005 * [taylor]: Taking taylor expansion of 0 in im 1.005 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [taylor]: Taking taylor expansion of 0 in im 1.006 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.012 * [taylor]: Taking taylor expansion of 1/2 in im 1.012 * [backup-simplify]: Simplify 1/2 into 1/2 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.012 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.013 * [backup-simplify]: Simplify (* 1 1) into 1 1.013 * [backup-simplify]: Simplify (/ 1 1) into 1 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [taylor]: Taking taylor expansion of 0 in im 1.021 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [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))))) 1.024 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.024 * [taylor]: Taking taylor expansion of re in im 1.024 * [backup-simplify]: Simplify re into re 1.025 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.025 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.025 * [taylor]: Taking taylor expansion of re in im 1.025 * [backup-simplify]: Simplify re into re 1.025 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.025 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.025 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.025 * [taylor]: Taking taylor expansion of im in im 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.026 * [backup-simplify]: Simplify (+ 0 1) into 1 1.027 * [backup-simplify]: Simplify (sqrt 1) into 1 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.037 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.037 * [taylor]: Taking taylor expansion of re in re 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (/ 1 1) into 1 1.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.038 * [taylor]: Taking taylor expansion of re in re 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify (* 1 1) into 1 1.038 * [backup-simplify]: Simplify (/ 1 1) into 1 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.038 * [taylor]: Taking taylor expansion of im in re 1.038 * [backup-simplify]: Simplify im into im 1.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.039 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.039 * [backup-simplify]: Simplify (+ 1 0) into 1 1.039 * [backup-simplify]: Simplify (sqrt 1) into 1 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.042 * [taylor]: Taking taylor expansion of re in re 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.042 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.042 * [taylor]: Taking taylor expansion of re in re 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.043 * [backup-simplify]: Simplify (/ 1 1) into 1 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.043 * [taylor]: Taking taylor expansion of im in re 1.043 * [backup-simplify]: Simplify im into im 1.044 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.044 * [backup-simplify]: Simplify (+ 1 0) into 1 1.044 * [backup-simplify]: Simplify (sqrt 1) into 1 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.047 * [backup-simplify]: Simplify (+ 1 1) into 2 1.047 * [taylor]: Taking taylor expansion of 2 in im 1.047 * [backup-simplify]: Simplify 2 into 2 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [taylor]: Taking taylor expansion of 0 in im 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 2 into 2 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.052 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.053 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.053 * [taylor]: Taking taylor expansion of 1/2 in im 1.053 * [backup-simplify]: Simplify 1/2 into 1/2 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.053 * [taylor]: Taking taylor expansion of im in im 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (* 1 1) into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [taylor]: Taking taylor expansion of 0 in im 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.062 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 1.063 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 1.063 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 1.063 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.063 * [taylor]: Taking taylor expansion of im in im 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.063 * [taylor]: Taking taylor expansion of re in im 1.063 * [backup-simplify]: Simplify re into re 1.063 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.063 * [taylor]: Taking taylor expansion of im in re 1.063 * [backup-simplify]: Simplify im into im 1.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.063 * [taylor]: Taking taylor expansion of re in re 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.063 * [taylor]: Taking taylor expansion of im in re 1.063 * [backup-simplify]: Simplify im into im 1.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.063 * [taylor]: Taking taylor expansion of re in re 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.063 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.063 * [taylor]: Taking taylor expansion of im in im 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [taylor]: Taking taylor expansion of 0 in im 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.064 * [backup-simplify]: Simplify (* 1 1) into 1 1.064 * [backup-simplify]: Simplify (+ 0 1) into 1 1.064 * [taylor]: Taking taylor expansion of 1 in im 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (* 1 1) into 1 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [taylor]: Taking taylor expansion of 0 in im 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 1.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.068 * [taylor]: Taking taylor expansion of 0 in im 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 1.068 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1.068 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.068 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.068 * [taylor]: Taking taylor expansion of re in im 1.068 * [backup-simplify]: Simplify re into re 1.068 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.068 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.068 * [taylor]: Taking taylor expansion of im in im 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.069 * [taylor]: Taking taylor expansion of re in re 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.070 * [taylor]: Taking taylor expansion of im in re 1.070 * [backup-simplify]: Simplify im into im 1.070 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.070 * [taylor]: Taking taylor expansion of re in re 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (* 1 1) into 1 1.070 * [backup-simplify]: Simplify (/ 1 1) into 1 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.070 * [taylor]: Taking taylor expansion of im in re 1.070 * [backup-simplify]: Simplify im into im 1.070 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.071 * [backup-simplify]: Simplify (+ 1 0) into 1 1.071 * [taylor]: Taking taylor expansion of 1 in im 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in im 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.073 * [taylor]: Taking taylor expansion of im in im 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in im 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [taylor]: Taking taylor expansion of 0 in im 1.078 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 1.080 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 1.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.080 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.080 * [taylor]: Taking taylor expansion of re in im 1.080 * [backup-simplify]: Simplify re into re 1.080 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.080 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.080 * [taylor]: Taking taylor expansion of im in im 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (* 1 1) into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.080 * [taylor]: Taking taylor expansion of re in re 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (* 1 1) into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.081 * [taylor]: Taking taylor expansion of im in re 1.081 * [backup-simplify]: Simplify im into im 1.081 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.081 * [taylor]: Taking taylor expansion of re in re 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (* 1 1) into 1 1.082 * [backup-simplify]: Simplify (/ 1 1) into 1 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.082 * [taylor]: Taking taylor expansion of im in re 1.082 * [backup-simplify]: Simplify im into im 1.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.082 * [backup-simplify]: Simplify (+ 1 0) into 1 1.082 * [taylor]: Taking taylor expansion of 1 in im 1.082 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in im 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.084 * [taylor]: Taking taylor expansion of im in im 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (* 1 1) into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [taylor]: Taking taylor expansion of 0 in im 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [taylor]: Taking taylor expansion of 0 in im 1.089 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 1.091 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.091 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 1.091 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 1.091 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 1.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.091 * [taylor]: Taking taylor expansion of 2.0 in im 1.091 * [backup-simplify]: Simplify 2.0 into 2.0 1.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.092 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 1.092 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.092 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.092 * [taylor]: Taking taylor expansion of im in im 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.092 * [taylor]: Taking taylor expansion of re in im 1.092 * [backup-simplify]: Simplify re into re 1.092 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.092 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.092 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.092 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.092 * [taylor]: Taking taylor expansion of re in im 1.092 * [backup-simplify]: Simplify re into re 1.092 * [backup-simplify]: Simplify (- re) into (- re) 1.092 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.093 * [backup-simplify]: Simplify (- 0) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.094 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.094 * [backup-simplify]: Simplify (+ 1 0) into 1 1.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.095 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.095 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 1.096 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 1.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.096 * [taylor]: Taking taylor expansion of 2.0 in re 1.096 * [backup-simplify]: Simplify 2.0 into 2.0 1.097 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.097 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 1.097 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.097 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.097 * [taylor]: Taking taylor expansion of im in re 1.097 * [backup-simplify]: Simplify im into im 1.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.097 * [taylor]: Taking taylor expansion of re in re 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.097 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.097 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.097 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ im 0) into im 1.098 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.098 * [backup-simplify]: Simplify (- 1) into -1 1.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.099 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.099 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 1.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.099 * [taylor]: Taking taylor expansion of 2.0 in re 1.099 * [backup-simplify]: Simplify 2.0 into 2.0 1.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.099 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 1.099 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.099 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.100 * [taylor]: Taking taylor expansion of im in re 1.100 * [backup-simplify]: Simplify im into im 1.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.100 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.100 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ im 0) into im 1.100 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.101 * [backup-simplify]: Simplify (- 1) into -1 1.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.101 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.101 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 1.101 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.101 * [taylor]: Taking taylor expansion of 2.0 in im 1.101 * [backup-simplify]: Simplify 2.0 into 2.0 1.102 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.102 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (sqrt 0) into 0 1.103 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.105 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.106 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.106 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 1.106 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.106 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.106 * [taylor]: Taking taylor expansion of 1/2 in im 1.106 * [backup-simplify]: Simplify 1/2 into 1/2 1.106 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.106 * [taylor]: Taking taylor expansion of 2.0 in im 1.106 * [backup-simplify]: Simplify 2.0 into 2.0 1.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.107 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.107 * [taylor]: Taking taylor expansion of im in im 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [backup-simplify]: Simplify (sqrt 0) into 0 1.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.111 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.113 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.114 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.114 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.117 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.119 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.120 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.124 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.127 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.129 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.134 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 1.134 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 1.134 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 1.134 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 1.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.134 * [taylor]: Taking taylor expansion of 2.0 in im 1.134 * [backup-simplify]: Simplify 2.0 into 2.0 1.135 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.135 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 1.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.135 * [taylor]: Taking taylor expansion of re in im 1.135 * [backup-simplify]: Simplify re into re 1.136 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.136 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.136 * [taylor]: Taking taylor expansion of im in im 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (* 1 1) into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.137 * [backup-simplify]: Simplify (+ 0 1) into 1 1.137 * [backup-simplify]: Simplify (sqrt 1) into 1 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.142 * [taylor]: Taking taylor expansion of re in im 1.142 * [backup-simplify]: Simplify re into re 1.142 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.143 * [backup-simplify]: Simplify (+ 1 0) into 1 1.143 * [backup-simplify]: Simplify (sqrt 0) into 0 1.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.145 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 1.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.145 * [taylor]: Taking taylor expansion of 2.0 in re 1.145 * [backup-simplify]: Simplify 2.0 into 2.0 1.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.146 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 1.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.146 * [taylor]: Taking taylor expansion of re in re 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (* 1 1) into 1 1.147 * [backup-simplify]: Simplify (/ 1 1) into 1 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.147 * [taylor]: Taking taylor expansion of im in re 1.147 * [backup-simplify]: Simplify im into im 1.147 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.148 * [backup-simplify]: Simplify (+ 1 0) into 1 1.148 * [backup-simplify]: Simplify (sqrt 1) into 1 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (/ 1 1) into 1 1.151 * [backup-simplify]: Simplify (- 1) into -1 1.152 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (- 0) into 0 1.158 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.158 * [backup-simplify]: Simplify (sqrt 0) into 0 1.159 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.159 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 1.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.159 * [taylor]: Taking taylor expansion of 2.0 in re 1.159 * [backup-simplify]: Simplify 2.0 into 2.0 1.159 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.160 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 1.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.160 * [taylor]: Taking taylor expansion of re in re 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (* 1 1) into 1 1.161 * [backup-simplify]: Simplify (/ 1 1) into 1 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.161 * [taylor]: Taking taylor expansion of im in re 1.161 * [backup-simplify]: Simplify im into im 1.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.162 * [backup-simplify]: Simplify (+ 1 0) into 1 1.162 * [backup-simplify]: Simplify (sqrt 1) into 1 1.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.165 * [taylor]: Taking taylor expansion of re in re 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 1 into 1 1.165 * [backup-simplify]: Simplify (/ 1 1) into 1 1.165 * [backup-simplify]: Simplify (- 1) into -1 1.166 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.169 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.170 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.171 * [backup-simplify]: Simplify (sqrt 0) into 0 1.171 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.172 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.172 * [taylor]: Taking taylor expansion of 0 in im 1.172 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 1.173 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.173 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.173 * [taylor]: Taking taylor expansion of +nan.0 in im 1.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.173 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.173 * [taylor]: Taking taylor expansion of 2.0 in im 1.173 * [backup-simplify]: Simplify 2.0 into 2.0 1.173 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (* 1 1) into 1 1.174 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 1.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.181 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 1.181 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.181 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.181 * [taylor]: Taking taylor expansion of +nan.0 in im 1.181 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.181 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.181 * [taylor]: Taking taylor expansion of 2.0 in im 1.181 * [backup-simplify]: Simplify 2.0 into 2.0 1.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.182 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.182 * [taylor]: Taking taylor expansion of im in im 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [backup-simplify]: Simplify (* 1 1) into 1 1.182 * [backup-simplify]: Simplify (* 1 1) into 1 1.183 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.190 * [backup-simplify]: Simplify (- 0) into 0 1.190 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.193 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.197 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 1.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.199 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 1.199 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.199 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.199 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.199 * [taylor]: Taking taylor expansion of +nan.0 in im 1.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.199 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.199 * [taylor]: Taking taylor expansion of 2.0 in im 1.199 * [backup-simplify]: Simplify 2.0 into 2.0 1.199 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.200 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (* 1 1) into 1 1.200 * [backup-simplify]: Simplify (* 1 1) into 1 1.201 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.201 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.201 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.201 * [taylor]: Taking taylor expansion of +nan.0 in im 1.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.201 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.201 * [taylor]: Taking taylor expansion of 2.0 in im 1.201 * [backup-simplify]: Simplify 2.0 into 2.0 1.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.202 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.202 * [taylor]: Taking taylor expansion of im in im 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (* 1 1) into 1 1.203 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.203 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.211 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.214 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify (- 0) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 1.240 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 1.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 1.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.240 * [taylor]: Taking taylor expansion of 2.0 in im 1.240 * [backup-simplify]: Simplify 2.0 into 2.0 1.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.241 * [taylor]: Taking taylor expansion of re in im 1.241 * [backup-simplify]: Simplify re into re 1.241 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.241 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.241 * [taylor]: Taking taylor expansion of re in im 1.241 * [backup-simplify]: Simplify re into re 1.241 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.241 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.241 * [taylor]: Taking taylor expansion of im in im 1.241 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (* 1 1) into 1 1.242 * [backup-simplify]: Simplify (/ 1 1) into 1 1.243 * [backup-simplify]: Simplify (+ 0 1) into 1 1.243 * [backup-simplify]: Simplify (sqrt 1) into 1 1.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (+ 0 0) into 0 1.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.246 * [backup-simplify]: Simplify (+ 0 1) into 1 1.246 * [backup-simplify]: Simplify (sqrt 0) into 0 1.248 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.248 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 1.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.248 * [taylor]: Taking taylor expansion of 2.0 in re 1.248 * [backup-simplify]: Simplify 2.0 into 2.0 1.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.249 * [taylor]: Taking taylor expansion of re in re 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.250 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (* 1 1) into 1 1.251 * [backup-simplify]: Simplify (/ 1 1) into 1 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.251 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [backup-simplify]: Simplify im into im 1.251 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.251 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.252 * [backup-simplify]: Simplify (+ 1 0) into 1 1.252 * [backup-simplify]: Simplify (sqrt 1) into 1 1.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.257 * [backup-simplify]: Simplify (+ 1 1) into 2 1.257 * [backup-simplify]: Simplify (sqrt 0) into 0 1.259 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.259 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 1.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.259 * [taylor]: Taking taylor expansion of 2.0 in re 1.259 * [backup-simplify]: Simplify 2.0 into 2.0 1.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.260 * [taylor]: Taking taylor expansion of re in re 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (/ 1 1) into 1 1.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.260 * [taylor]: Taking taylor expansion of re in re 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (* 1 1) into 1 1.261 * [backup-simplify]: Simplify (/ 1 1) into 1 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.261 * [backup-simplify]: Simplify im into im 1.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.262 * [backup-simplify]: Simplify (+ 1 0) into 1 1.262 * [backup-simplify]: Simplify (sqrt 1) into 1 1.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.265 * [backup-simplify]: Simplify (+ 1 1) into 2 1.266 * [backup-simplify]: Simplify (sqrt 0) into 0 1.267 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.267 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.267 * [taylor]: Taking taylor expansion of 0 in im 1.267 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.270 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.270 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.270 * [taylor]: Taking taylor expansion of +nan.0 in im 1.270 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.270 * [taylor]: Taking taylor expansion of 2.0 in im 1.270 * [backup-simplify]: Simplify 2.0 into 2.0 1.270 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.279 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.279 * [taylor]: Taking taylor expansion of +nan.0 in im 1.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.279 * [taylor]: Taking taylor expansion of 2.0 in im 1.279 * [backup-simplify]: Simplify 2.0 into 2.0 1.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.281 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.283 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.284 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.284 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.288 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.289 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.291 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 1.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.293 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 1.293 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.293 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.293 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.293 * [taylor]: Taking taylor expansion of +nan.0 in im 1.293 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.293 * [taylor]: Taking taylor expansion of 2.0 in im 1.293 * [backup-simplify]: Simplify 2.0 into 2.0 1.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.295 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.295 * [taylor]: Taking taylor expansion of +nan.0 in im 1.295 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.295 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.295 * [taylor]: Taking taylor expansion of 2.0 in im 1.295 * [backup-simplify]: Simplify 2.0 into 2.0 1.295 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.296 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.300 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.300 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.304 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.305 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.306 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 1.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.316 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 1.316 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.316 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.316 * [taylor]: Taking taylor expansion of +nan.0 in im 1.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.316 * [taylor]: Taking taylor expansion of 2.0 in im 1.316 * [backup-simplify]: Simplify 2.0 into 2.0 1.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.317 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.317 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.317 * [taylor]: Taking taylor expansion of +nan.0 in im 1.317 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.317 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.317 * [taylor]: Taking taylor expansion of 2.0 in im 1.317 * [backup-simplify]: Simplify 2.0 into 2.0 1.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.320 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.330 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.333 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.335 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.340 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.340 * * * [progress]: simplifying candidates 1.340 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 1.340 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 1.340 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 1.340 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 1.340 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 1.340 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 1.340 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.341 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 1.341 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.342 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 1.342 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 43 / 70 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 1.343 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 1.343 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.344 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 1.344 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 1.345 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 1.346 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (* (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)) (real->posit16 (+ (* re re) (* im im))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 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)) (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.349 * * [simplify]: iteration 0: 118 enodes 1.397 * * [simplify]: iteration 1: 265 enodes 1.531 * * [simplify]: iteration 2: 751 enodes 1.762 * * [simplify]: iteration 3: 2003 enodes 2.174 * * [simplify]: iteration complete: 2003 enodes 2.174 * * [simplify]: Extracting #0: cost 61 inf + 0 2.174 * * [simplify]: Extracting #1: cost 251 inf + 5 2.176 * * [simplify]: Extracting #2: cost 613 inf + 3130 2.182 * * [simplify]: Extracting #3: cost 537 inf + 28615 2.204 * * [simplify]: Extracting #4: cost 309 inf + 67852 2.233 * * [simplify]: Extracting #5: cost 92 inf + 125895 2.268 * * [simplify]: Extracting #6: cost 12 inf + 145998 2.307 * * [simplify]: Extracting #7: cost 0 inf + 149684 2.340 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* 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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))) (+ (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))) (- re) (+ (* im im) (- (* re re) (* re re))) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (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))) (* (* re re) (* re re))) (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)) (real->posit16 (+ (* re re) (* im im))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))))) (sqrt (+ (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im)))) (sqrt (* 2.0 (+ (* im im) (- (* re re) (* re re))))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (* (* (sqrt 2.0) +nan.0) (+ (- (* re im)) (- (* im im) im))) 0 (- (- (* (sqrt 2.0) +nan.0) (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))) 2.346 * * * [progress]: adding candidates to table 3.002 * * [progress]: iteration 2 / 4 3.002 * * * [progress]: picking best candidate 3.051 * * * * [pick]: Picked # 3.051 * * * [progress]: localizing error 3.078 * * * [progress]: generating rewritten candidates 3.078 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.084 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.090 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.140 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.208 * * * [progress]: generating series expansions 3.208 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.208 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.208 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.208 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.208 * [taylor]: Taking taylor expansion of im in im 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.208 * [taylor]: Taking taylor expansion of re in im 3.208 * [backup-simplify]: Simplify re into re 3.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.208 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.209 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.209 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.209 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.209 * [taylor]: Taking taylor expansion of im in re 3.209 * [backup-simplify]: Simplify im into im 3.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.209 * [taylor]: Taking taylor expansion of re in re 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.209 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.210 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.210 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.210 * [taylor]: Taking taylor expansion of im in re 3.210 * [backup-simplify]: Simplify im into im 3.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.210 * [taylor]: Taking taylor expansion of re in re 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.210 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.210 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.211 * [taylor]: Taking taylor expansion of im in im 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [taylor]: Taking taylor expansion of 0 in im 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.211 * [backup-simplify]: Simplify (* 1 1) into 1 3.212 * [backup-simplify]: Simplify (+ 0 1) into 1 3.212 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.212 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.212 * [taylor]: Taking taylor expansion of 1/2 in im 3.212 * [backup-simplify]: Simplify 1/2 into 1/2 3.212 * [taylor]: Taking taylor expansion of im in im 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (+ 0 0) into 0 3.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.214 * [taylor]: Taking taylor expansion of 0 in im 3.214 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.215 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.215 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.215 * [taylor]: Taking taylor expansion of re in im 3.215 * [backup-simplify]: Simplify re into re 3.215 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.216 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.216 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.216 * [taylor]: Taking taylor expansion of im in im 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (* 1 1) into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [backup-simplify]: Simplify (+ 0 1) into 1 3.217 * [backup-simplify]: Simplify (sqrt 1) into 1 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.218 * [taylor]: Taking taylor expansion of re in re 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (* 1 1) into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.219 * [taylor]: Taking taylor expansion of im in re 3.219 * [backup-simplify]: Simplify im into im 3.219 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.219 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.219 * [backup-simplify]: Simplify (+ 1 0) into 1 3.219 * [backup-simplify]: Simplify (sqrt 1) into 1 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ 0 0) into 0 3.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.221 * [taylor]: Taking taylor expansion of re in re 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.221 * [backup-simplify]: Simplify (/ 1 1) into 1 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.221 * [taylor]: Taking taylor expansion of im in re 3.221 * [backup-simplify]: Simplify im into im 3.221 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.222 * [backup-simplify]: Simplify (+ 1 0) into 1 3.222 * [backup-simplify]: Simplify (sqrt 1) into 1 3.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.223 * [taylor]: Taking taylor expansion of 1 in im 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [taylor]: Taking taylor expansion of 0 in im 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.225 * [taylor]: Taking taylor expansion of 1/2 in im 3.225 * [backup-simplify]: Simplify 1/2 into 1/2 3.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.225 * [taylor]: Taking taylor expansion of im in im 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 1 into 1 3.226 * [backup-simplify]: Simplify (* 1 1) into 1 3.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.231 * [taylor]: Taking taylor expansion of 0 in im 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.232 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.232 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.232 * [taylor]: Taking taylor expansion of re in im 3.232 * [backup-simplify]: Simplify re into re 3.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.232 * [taylor]: Taking taylor expansion of im in im 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [backup-simplify]: Simplify (+ 0 1) into 1 3.233 * [backup-simplify]: Simplify (sqrt 1) into 1 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.235 * [taylor]: Taking taylor expansion of re in re 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.235 * [backup-simplify]: Simplify (/ 1 1) into 1 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.236 * [taylor]: Taking taylor expansion of im in re 3.236 * [backup-simplify]: Simplify im into im 3.236 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.236 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.236 * [backup-simplify]: Simplify (+ 1 0) into 1 3.236 * [backup-simplify]: Simplify (sqrt 1) into 1 3.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.238 * [taylor]: Taking taylor expansion of re in re 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [backup-simplify]: Simplify (* 1 1) into 1 3.238 * [backup-simplify]: Simplify (/ 1 1) into 1 3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.238 * [taylor]: Taking taylor expansion of im in re 3.238 * [backup-simplify]: Simplify im into im 3.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.238 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.239 * [backup-simplify]: Simplify (+ 1 0) into 1 3.239 * [backup-simplify]: Simplify (sqrt 1) into 1 3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.240 * [taylor]: Taking taylor expansion of 1 in im 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of 0 in im 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.242 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.242 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.242 * [taylor]: Taking taylor expansion of 1/2 in im 3.242 * [backup-simplify]: Simplify 1/2 into 1/2 3.242 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.242 * [taylor]: Taking taylor expansion of im in im 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (* 1 1) into 1 3.243 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.246 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.246 * [taylor]: Taking taylor expansion of 0 in im 3.246 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.247 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.248 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.248 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.248 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.248 * [taylor]: Taking taylor expansion of im in im 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.248 * [taylor]: Taking taylor expansion of re in im 3.248 * [backup-simplify]: Simplify re into re 3.248 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.248 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.248 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.248 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.248 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.248 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.248 * [taylor]: Taking taylor expansion of im in re 3.248 * [backup-simplify]: Simplify im into im 3.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.248 * [taylor]: Taking taylor expansion of re in re 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.248 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.248 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.249 * [backup-simplify]: Simplify (+ 0 0) into 0 3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.249 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.249 * [taylor]: Taking taylor expansion of im in re 3.249 * [backup-simplify]: Simplify im into im 3.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.249 * [taylor]: Taking taylor expansion of re in re 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.249 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.249 * [backup-simplify]: Simplify (+ 0 0) into 0 3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.250 * [taylor]: Taking taylor expansion of im in im 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [taylor]: Taking taylor expansion of 0 in im 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (+ 0 1) into 1 3.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.251 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.251 * [taylor]: Taking taylor expansion of 1/2 in im 3.251 * [backup-simplify]: Simplify 1/2 into 1/2 3.251 * [taylor]: Taking taylor expansion of im in im 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 1 into 1 3.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.253 * [backup-simplify]: Simplify (+ 0 0) into 0 3.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.253 * [taylor]: Taking taylor expansion of 0 in im 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.254 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.254 * [taylor]: Taking taylor expansion of re in im 3.254 * [backup-simplify]: Simplify re into re 3.254 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.254 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.254 * [taylor]: Taking taylor expansion of im in im 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.254 * [backup-simplify]: Simplify (* 1 1) into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.255 * [backup-simplify]: Simplify (+ 0 1) into 1 3.255 * [backup-simplify]: Simplify (sqrt 1) into 1 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.257 * [taylor]: Taking taylor expansion of re in re 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.257 * [backup-simplify]: Simplify (/ 1 1) into 1 3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.257 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.257 * [taylor]: Taking taylor expansion of im in re 3.257 * [backup-simplify]: Simplify im into im 3.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.258 * [backup-simplify]: Simplify (+ 1 0) into 1 3.258 * [backup-simplify]: Simplify (sqrt 1) into 1 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.260 * [taylor]: Taking taylor expansion of re in re 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.260 * [taylor]: Taking taylor expansion of im in re 3.260 * [backup-simplify]: Simplify im into im 3.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.260 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.261 * [backup-simplify]: Simplify (+ 1 0) into 1 3.261 * [backup-simplify]: Simplify (sqrt 1) into 1 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.262 * [taylor]: Taking taylor expansion of 1 in im 3.262 * [backup-simplify]: Simplify 1 into 1 3.263 * [taylor]: Taking taylor expansion of 0 in im 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.264 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.265 * [taylor]: Taking taylor expansion of 1/2 in im 3.265 * [backup-simplify]: Simplify 1/2 into 1/2 3.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.265 * [taylor]: Taking taylor expansion of im in im 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (* 1 1) into 1 3.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.268 * [taylor]: Taking taylor expansion of 0 in im 3.268 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.269 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.270 * [taylor]: Taking taylor expansion of re in im 3.270 * [backup-simplify]: Simplify re into re 3.270 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.270 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.270 * [taylor]: Taking taylor expansion of im in im 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [backup-simplify]: Simplify (+ 0 1) into 1 3.271 * [backup-simplify]: Simplify (sqrt 1) into 1 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (+ 0 0) into 0 3.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.272 * [taylor]: Taking taylor expansion of re in re 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (* 1 1) into 1 3.273 * [backup-simplify]: Simplify (/ 1 1) into 1 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.273 * [taylor]: Taking taylor expansion of im in re 3.273 * [backup-simplify]: Simplify im into im 3.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.273 * [backup-simplify]: Simplify (+ 1 0) into 1 3.274 * [backup-simplify]: Simplify (sqrt 1) into 1 3.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.276 * [taylor]: Taking taylor expansion of re in re 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (* 1 1) into 1 3.277 * [backup-simplify]: Simplify (/ 1 1) into 1 3.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.277 * [taylor]: Taking taylor expansion of im in re 3.277 * [backup-simplify]: Simplify im into im 3.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.277 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.278 * [backup-simplify]: Simplify (+ 1 0) into 1 3.278 * [backup-simplify]: Simplify (sqrt 1) into 1 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.281 * [taylor]: Taking taylor expansion of 1 in im 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of 0 in im 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.284 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.284 * [taylor]: Taking taylor expansion of 1/2 in im 3.284 * [backup-simplify]: Simplify 1/2 into 1/2 3.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.284 * [taylor]: Taking taylor expansion of im in im 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.285 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.290 * [taylor]: Taking taylor expansion of 0 in im 3.290 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.292 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.293 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 3.293 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 3.293 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.293 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.293 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.293 * [taylor]: Taking taylor expansion of im in im 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.293 * [taylor]: Taking taylor expansion of re in im 3.293 * [backup-simplify]: Simplify re into re 3.293 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.293 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.293 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.294 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.294 * [taylor]: Taking taylor expansion of re in im 3.294 * [backup-simplify]: Simplify re into re 3.294 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.294 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.294 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.294 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.294 * [taylor]: Taking taylor expansion of im in re 3.294 * [backup-simplify]: Simplify im into im 3.294 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.294 * [taylor]: Taking taylor expansion of re in re 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.295 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.295 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.295 * [taylor]: Taking taylor expansion of re in re 3.295 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.296 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.296 * [taylor]: Taking taylor expansion of im in re 3.296 * [backup-simplify]: Simplify im into im 3.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.296 * [taylor]: Taking taylor expansion of re in re 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.296 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.296 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.297 * [taylor]: Taking taylor expansion of re in re 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (- 0) into 0 3.297 * [backup-simplify]: Simplify (+ im 0) into im 3.297 * [taylor]: Taking taylor expansion of im in im 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (- 1) into -1 3.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.298 * [taylor]: Taking taylor expansion of -1 in im 3.298 * [backup-simplify]: Simplify -1 into -1 3.298 * [backup-simplify]: Simplify -1 into -1 3.298 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.299 * [backup-simplify]: Simplify (* 1 1) into 1 3.299 * [backup-simplify]: Simplify (+ 0 1) into 1 3.300 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.301 * [backup-simplify]: Simplify (- 0) into 0 3.301 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.301 * [taylor]: Taking taylor expansion of 1/2 in im 3.301 * [backup-simplify]: Simplify 1/2 into 1/2 3.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.301 * [taylor]: Taking taylor expansion of im in im 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (/ 1 1) into 1 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.305 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [taylor]: Taking taylor expansion of 0 in im 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.308 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.308 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.308 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.308 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.308 * [taylor]: Taking taylor expansion of re in im 3.308 * [backup-simplify]: Simplify re into re 3.308 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.309 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.309 * [taylor]: Taking taylor expansion of im in im 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.310 * [backup-simplify]: Simplify (+ 0 1) into 1 3.310 * [backup-simplify]: Simplify (sqrt 1) into 1 3.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.313 * [taylor]: Taking taylor expansion of re in im 3.313 * [backup-simplify]: Simplify re into re 3.313 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.313 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.313 * [taylor]: Taking taylor expansion of re in re 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (* 1 1) into 1 3.314 * [backup-simplify]: Simplify (/ 1 1) into 1 3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.314 * [taylor]: Taking taylor expansion of im in re 3.314 * [backup-simplify]: Simplify im into im 3.314 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.314 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.314 * [backup-simplify]: Simplify (+ 1 0) into 1 3.315 * [backup-simplify]: Simplify (sqrt 1) into 1 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.317 * [taylor]: Taking taylor expansion of re in re 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.318 * [taylor]: Taking taylor expansion of re in re 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (* 1 1) into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.319 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.319 * [taylor]: Taking taylor expansion of im in re 3.319 * [backup-simplify]: Simplify im into im 3.319 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.319 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.319 * [backup-simplify]: Simplify (+ 1 0) into 1 3.320 * [backup-simplify]: Simplify (sqrt 1) into 1 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.322 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.322 * [taylor]: Taking taylor expansion of re in re 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.323 * [backup-simplify]: Simplify (/ 1 1) into 1 3.323 * [backup-simplify]: Simplify (- 1) into -1 3.323 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.323 * [taylor]: Taking taylor expansion of 0 in im 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify (- 0) into 0 3.325 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [taylor]: Taking taylor expansion of 0 in im 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.329 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (- 0) into 0 3.330 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.330 * [taylor]: Taking taylor expansion of 1/2 in im 3.330 * [backup-simplify]: Simplify 1/2 into 1/2 3.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.330 * [taylor]: Taking taylor expansion of im in im 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (* 1 1) into 1 3.331 * [backup-simplify]: Simplify (/ 1 1) into 1 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (- 0) into 0 3.338 * [backup-simplify]: Simplify (+ 0 0) into 0 3.338 * [taylor]: Taking taylor expansion of 0 in im 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.342 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.342 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.342 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.342 * [taylor]: Taking taylor expansion of re in im 3.342 * [backup-simplify]: Simplify re into re 3.342 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.342 * [taylor]: Taking taylor expansion of re in im 3.342 * [backup-simplify]: Simplify re into re 3.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.343 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.343 * [taylor]: Taking taylor expansion of im in im 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.346 * [backup-simplify]: Simplify (/ 1 1) into 1 3.347 * [backup-simplify]: Simplify (+ 0 1) into 1 3.347 * [backup-simplify]: Simplify (sqrt 1) into 1 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.350 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.350 * [taylor]: Taking taylor expansion of re in re 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.350 * [taylor]: Taking taylor expansion of re in re 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify (* 1 1) into 1 3.351 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.351 * [taylor]: Taking taylor expansion of im in re 3.351 * [backup-simplify]: Simplify im into im 3.351 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.351 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.352 * [backup-simplify]: Simplify (sqrt 1) into 1 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.355 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.355 * [taylor]: Taking taylor expansion of re in re 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (/ 1 1) into 1 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.355 * [taylor]: Taking taylor expansion of re in re 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.356 * [taylor]: Taking taylor expansion of im in re 3.356 * [backup-simplify]: Simplify im into im 3.356 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.356 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.357 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [backup-simplify]: Simplify (sqrt 1) into 1 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.361 * [backup-simplify]: Simplify (+ 1 1) into 2 3.361 * [taylor]: Taking taylor expansion of 2 in im 3.361 * [backup-simplify]: Simplify 2 into 2 3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.362 * [taylor]: Taking taylor expansion of 0 in im 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 2 into 2 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.366 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.366 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.366 * [taylor]: Taking taylor expansion of 1/2 in im 3.366 * [backup-simplify]: Simplify 1/2 into 1/2 3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.366 * [taylor]: Taking taylor expansion of im in im 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (* 1 1) into 1 3.367 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.374 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [taylor]: Taking taylor expansion of 0 in im 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.378 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 3.378 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 3.379 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.379 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.379 * [taylor]: Taking taylor expansion of im in im 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.379 * [taylor]: Taking taylor expansion of re in im 3.379 * [backup-simplify]: Simplify re into re 3.379 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.379 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.379 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.379 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.380 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.380 * [taylor]: Taking taylor expansion of im in re 3.380 * [backup-simplify]: Simplify im into im 3.380 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.380 * [taylor]: Taking taylor expansion of re in re 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.380 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.380 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.380 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.381 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.381 * [taylor]: Taking taylor expansion of im in re 3.381 * [backup-simplify]: Simplify im into im 3.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.381 * [taylor]: Taking taylor expansion of re in re 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 1 into 1 3.381 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.381 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.381 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.382 * [taylor]: Taking taylor expansion of im in im 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [taylor]: Taking taylor expansion of 0 in im 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.383 * [backup-simplify]: Simplify (* 1 1) into 1 3.383 * [backup-simplify]: Simplify (+ 0 1) into 1 3.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.383 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.383 * [taylor]: Taking taylor expansion of 1/2 in im 3.383 * [backup-simplify]: Simplify 1/2 into 1/2 3.383 * [taylor]: Taking taylor expansion of im in im 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.385 * [taylor]: Taking taylor expansion of 0 in im 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.386 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.387 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.387 * [taylor]: Taking taylor expansion of re in im 3.387 * [backup-simplify]: Simplify re into re 3.387 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.387 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.387 * [taylor]: Taking taylor expansion of im in im 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (* 1 1) into 1 3.387 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [backup-simplify]: Simplify (+ 0 1) into 1 3.388 * [backup-simplify]: Simplify (sqrt 1) into 1 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.389 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.389 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.389 * [taylor]: Taking taylor expansion of re in re 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.390 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (/ 1 1) into 1 3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.390 * [taylor]: Taking taylor expansion of im in re 3.390 * [backup-simplify]: Simplify im into im 3.390 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.390 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.390 * [backup-simplify]: Simplify (+ 1 0) into 1 3.391 * [backup-simplify]: Simplify (sqrt 1) into 1 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.392 * [taylor]: Taking taylor expansion of re in re 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (* 1 1) into 1 3.393 * [backup-simplify]: Simplify (/ 1 1) into 1 3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.393 * [taylor]: Taking taylor expansion of im in re 3.393 * [backup-simplify]: Simplify im into im 3.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.393 * [backup-simplify]: Simplify (+ 1 0) into 1 3.393 * [backup-simplify]: Simplify (sqrt 1) into 1 3.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.395 * [taylor]: Taking taylor expansion of 1 in im 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [taylor]: Taking taylor expansion of 0 in im 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.397 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.397 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.397 * [taylor]: Taking taylor expansion of 1/2 in im 3.397 * [backup-simplify]: Simplify 1/2 into 1/2 3.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.397 * [taylor]: Taking taylor expansion of im in im 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (* 1 1) into 1 3.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.400 * [taylor]: Taking taylor expansion of 0 in im 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.402 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.402 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.402 * [taylor]: Taking taylor expansion of re in im 3.402 * [backup-simplify]: Simplify re into re 3.402 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.402 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.402 * [taylor]: Taking taylor expansion of im in im 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (* 1 1) into 1 3.403 * [backup-simplify]: Simplify (/ 1 1) into 1 3.403 * [backup-simplify]: Simplify (+ 0 1) into 1 3.403 * [backup-simplify]: Simplify (sqrt 1) into 1 3.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.405 * [taylor]: Taking taylor expansion of re in re 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (* 1 1) into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.406 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.406 * [taylor]: Taking taylor expansion of im in re 3.406 * [backup-simplify]: Simplify im into im 3.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.406 * [backup-simplify]: Simplify (+ 1 0) into 1 3.406 * [backup-simplify]: Simplify (sqrt 1) into 1 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.408 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.408 * [taylor]: Taking taylor expansion of re in re 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (/ 1 1) into 1 3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.409 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.409 * [taylor]: Taking taylor expansion of im in re 3.409 * [backup-simplify]: Simplify im into im 3.409 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.409 * [backup-simplify]: Simplify (+ 1 0) into 1 3.409 * [backup-simplify]: Simplify (sqrt 1) into 1 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.411 * [taylor]: Taking taylor expansion of 1 in im 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [taylor]: Taking taylor expansion of 0 in im 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.413 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.413 * [taylor]: Taking taylor expansion of 1/2 in im 3.413 * [backup-simplify]: Simplify 1/2 into 1/2 3.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.413 * [taylor]: Taking taylor expansion of im in im 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (* 1 1) into 1 3.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.418 * [taylor]: Taking taylor expansion of 0 in im 3.418 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.421 * * * [progress]: simplifying candidates 3.421 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 3.421 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 3.422 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 3.422 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 3.423 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 3.423 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 3.424 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 3.424 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 3.425 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 3.426 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 3.427 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 3.428 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 3.429 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 3.430 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 3.430 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 3.431 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 3.434 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ 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re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 5.047 * * * [progress]: adding candidates to table 6.724 * * [progress]: iteration 3 / 4 6.724 * * * [progress]: picking best candidate 6.740 * * * * [pick]: Picked # 6.740 * * * [progress]: localizing error 6.802 * * * [progress]: generating rewritten candidates 6.802 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 6.815 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 6.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.897 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 6.941 * * * [progress]: generating series expansions 6.941 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 6.941 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.941 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.941 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.941 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.941 * [taylor]: Taking taylor expansion of im in im 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.941 * [taylor]: Taking taylor expansion of re in im 6.941 * [backup-simplify]: Simplify re into re 6.941 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.942 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.942 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.942 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.942 * [backup-simplify]: Simplify (+ 0 0) into 0 6.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.943 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.943 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.943 * [taylor]: Taking taylor expansion of im in re 6.943 * [backup-simplify]: Simplify im into im 6.943 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.943 * [taylor]: Taking taylor expansion of re in re 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 1 into 1 6.943 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.943 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.943 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.943 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.944 * [backup-simplify]: Simplify (+ 0 0) into 0 6.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.944 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.944 * [taylor]: Taking taylor expansion of im in re 6.944 * [backup-simplify]: Simplify im into im 6.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.944 * [taylor]: Taking taylor expansion of re in re 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.944 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.944 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.944 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.945 * [backup-simplify]: Simplify (+ 0 0) into 0 6.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.945 * [taylor]: Taking taylor expansion of im in im 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 1 into 1 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [taylor]: Taking taylor expansion of 0 in im 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 1 into 1 6.945 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.946 * [backup-simplify]: Simplify (* 1 1) into 1 6.946 * [backup-simplify]: Simplify (+ 0 1) into 1 6.947 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.947 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.947 * [taylor]: Taking taylor expansion of 1/2 in im 6.947 * [backup-simplify]: Simplify 1/2 into 1/2 6.947 * [taylor]: Taking taylor expansion of im in im 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.948 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.951 * [backup-simplify]: Simplify (+ 0 0) into 0 6.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.951 * [taylor]: Taking taylor expansion of 0 in im 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.952 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.952 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.952 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.952 * [taylor]: Taking taylor expansion of re in im 6.952 * [backup-simplify]: Simplify re into re 6.952 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.953 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.953 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.953 * [taylor]: Taking taylor expansion of im in im 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (* 1 1) into 1 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.954 * [backup-simplify]: Simplify (+ 0 1) into 1 6.954 * [backup-simplify]: Simplify (sqrt 1) into 1 6.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.957 * [taylor]: Taking taylor expansion of re in re 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (* 1 1) into 1 6.958 * [backup-simplify]: Simplify (/ 1 1) into 1 6.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.958 * [taylor]: Taking taylor expansion of im in re 6.958 * [backup-simplify]: Simplify im into im 6.958 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.959 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.959 * [backup-simplify]: Simplify (+ 1 0) into 1 6.959 * [backup-simplify]: Simplify (sqrt 1) into 1 6.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.961 * [backup-simplify]: Simplify (+ 0 0) into 0 6.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.962 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.962 * [taylor]: Taking taylor expansion of re in re 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 1 into 1 6.962 * [backup-simplify]: Simplify (* 1 1) into 1 6.963 * [backup-simplify]: Simplify (/ 1 1) into 1 6.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.963 * [taylor]: Taking taylor expansion of im in re 6.963 * [backup-simplify]: Simplify im into im 6.963 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.963 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.964 * [backup-simplify]: Simplify (+ 1 0) into 1 6.964 * [backup-simplify]: Simplify (sqrt 1) into 1 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.967 * [taylor]: Taking taylor expansion of 1 in im 6.967 * [backup-simplify]: Simplify 1 into 1 6.967 * [taylor]: Taking taylor expansion of 0 in im 6.967 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.969 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.970 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.970 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.970 * [taylor]: Taking taylor expansion of 1/2 in im 6.971 * [backup-simplify]: Simplify 1/2 into 1/2 6.971 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.971 * [taylor]: Taking taylor expansion of im in im 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify (* 1 1) into 1 6.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.975 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.976 * [backup-simplify]: Simplify (+ 0 0) into 0 6.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.977 * [taylor]: Taking taylor expansion of 0 in im 6.977 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.979 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.979 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.979 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.979 * [taylor]: Taking taylor expansion of re in im 6.979 * [backup-simplify]: Simplify re into re 6.979 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.980 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.980 * [taylor]: Taking taylor expansion of im in im 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 1 into 1 6.980 * [backup-simplify]: Simplify (* 1 1) into 1 6.981 * [backup-simplify]: Simplify (/ 1 1) into 1 6.981 * [backup-simplify]: Simplify (+ 0 1) into 1 6.981 * [backup-simplify]: Simplify (sqrt 1) into 1 6.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (+ 0 0) into 0 6.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.984 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.984 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.984 * [taylor]: Taking taylor expansion of re in re 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (* 1 1) into 1 6.985 * [backup-simplify]: Simplify (/ 1 1) into 1 6.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.985 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.985 * [taylor]: Taking taylor expansion of im in re 6.985 * [backup-simplify]: Simplify im into im 6.985 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.985 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.986 * [backup-simplify]: Simplify (+ 1 0) into 1 6.986 * [backup-simplify]: Simplify (sqrt 1) into 1 6.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.988 * [backup-simplify]: Simplify (+ 0 0) into 0 6.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.989 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.989 * [taylor]: Taking taylor expansion of re in re 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (/ 1 1) into 1 6.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.990 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.990 * [taylor]: Taking taylor expansion of im in re 6.990 * [backup-simplify]: Simplify im into im 6.990 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.990 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.990 * [backup-simplify]: Simplify (+ 1 0) into 1 6.991 * [backup-simplify]: Simplify (sqrt 1) into 1 6.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.993 * [backup-simplify]: Simplify (+ 0 0) into 0 6.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.993 * [taylor]: Taking taylor expansion of 1 in im 6.993 * [backup-simplify]: Simplify 1 into 1 6.994 * [taylor]: Taking taylor expansion of 0 in im 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.997 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.997 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.997 * [taylor]: Taking taylor expansion of 1/2 in im 6.997 * [backup-simplify]: Simplify 1/2 into 1/2 6.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.997 * [taylor]: Taking taylor expansion of im in im 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 1 into 1 6.997 * [backup-simplify]: Simplify (* 1 1) into 1 6.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.005 * [backup-simplify]: Simplify (+ 0 0) into 0 7.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.006 * [taylor]: Taking taylor expansion of 0 in im 7.006 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.009 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 7.009 * [backup-simplify]: Simplify (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) 7.009 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0 7.009 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 7.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.009 * [taylor]: Taking taylor expansion of im in re 7.009 * [backup-simplify]: Simplify im into im 7.009 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 7.009 * [taylor]: Taking taylor expansion of re in re 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.009 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.009 * [taylor]: Taking taylor expansion of im in re 7.009 * [backup-simplify]: Simplify im into im 7.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.009 * [taylor]: Taking taylor expansion of re in re 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.010 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.010 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.010 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.010 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.010 * [backup-simplify]: Simplify (+ 0 im) into im 7.010 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 7.010 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 7.010 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.011 * [taylor]: Taking taylor expansion of im in im 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 1 into 1 7.011 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 7.011 * [taylor]: Taking taylor expansion of re in im 7.011 * [backup-simplify]: Simplify re into re 7.011 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.011 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.011 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.011 * [taylor]: Taking taylor expansion of im in im 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 1 into 1 7.011 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.011 * [taylor]: Taking taylor expansion of re in im 7.011 * [backup-simplify]: Simplify re into re 7.011 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.011 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.011 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.011 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.012 * [backup-simplify]: Simplify (+ 0 0) into 0 7.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.012 * [backup-simplify]: Simplify (* 1 1) into 1 7.012 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.012 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.012 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 7.012 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.012 * [taylor]: Taking taylor expansion of im in im 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 1 into 1 7.012 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 7.012 * [taylor]: Taking taylor expansion of re in im 7.012 * [backup-simplify]: Simplify re into re 7.012 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.012 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.012 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.013 * [taylor]: Taking taylor expansion of im in im 7.013 * [backup-simplify]: Simplify 0 into 0 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.013 * [taylor]: Taking taylor expansion of re in im 7.013 * [backup-simplify]: Simplify re into re 7.013 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.013 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.013 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.013 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.013 * [backup-simplify]: Simplify (+ 0 0) into 0 7.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.014 * [backup-simplify]: Simplify (* 1 1) into 1 7.014 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.014 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.014 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 7.014 * [taylor]: Taking taylor expansion of 1/2 in re 7.014 * [backup-simplify]: Simplify 1/2 into 1/2 7.014 * [taylor]: Taking taylor expansion of re in re 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.017 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 7.017 * [taylor]: Taking taylor expansion of 0 in re 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.020 * [backup-simplify]: Simplify (* 1 1) into 1 7.020 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.021 * [backup-simplify]: Simplify (+ 1 0) into 1 7.021 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.021 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 7.022 * [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)))) 7.022 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 7.022 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 7.022 * [taylor]: Taking taylor expansion of 1/8 in re 7.022 * [backup-simplify]: Simplify 1/8 into 1/8 7.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 7.022 * [taylor]: Taking taylor expansion of (pow re 3) in re 7.022 * [taylor]: Taking taylor expansion of re in re 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (* 1 1) into 1 7.023 * [backup-simplify]: Simplify (* 1 1) into 1 7.023 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (- 0) into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify (/ (+ 0 (* (/ 1 im) (/ 1 im))) (+ (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))) 7.030 * [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 7.030 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 7.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 7.030 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 7.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.031 * [taylor]: Taking taylor expansion of re in re 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (/ 1 1) into 1 7.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.031 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.031 * [taylor]: Taking taylor expansion of re in re 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (* 1 1) into 1 7.031 * [backup-simplify]: Simplify (/ 1 1) into 1 7.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.031 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.031 * [taylor]: Taking taylor expansion of im in re 7.031 * [backup-simplify]: Simplify im into im 7.031 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.032 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.032 * [backup-simplify]: Simplify (+ 1 0) into 1 7.032 * [backup-simplify]: Simplify (sqrt 1) into 1 7.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.033 * [backup-simplify]: Simplify (+ 0 0) into 0 7.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.034 * [taylor]: Taking taylor expansion of im in re 7.034 * [backup-simplify]: Simplify im into im 7.034 * [backup-simplify]: Simplify (+ 1 1) into 2 7.034 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.034 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 7.034 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 7.034 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 7.034 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 7.034 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.034 * [taylor]: Taking taylor expansion of re in im 7.034 * [backup-simplify]: Simplify re into re 7.034 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.034 * [taylor]: Taking taylor expansion of re in im 7.034 * [backup-simplify]: Simplify re into re 7.034 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.034 * [taylor]: Taking taylor expansion of im in im 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 1 into 1 7.035 * [backup-simplify]: Simplify (* 1 1) into 1 7.035 * [backup-simplify]: Simplify (/ 1 1) into 1 7.035 * [backup-simplify]: Simplify (+ 0 1) into 1 7.035 * [backup-simplify]: Simplify (sqrt 1) into 1 7.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify (+ 0 0) into 0 7.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.037 * [taylor]: Taking taylor expansion of im in im 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [backup-simplify]: Simplify (+ 0 1) into 1 7.037 * [backup-simplify]: Simplify (* 1 1) into 1 7.038 * [backup-simplify]: Simplify (* 1 1) into 1 7.038 * [backup-simplify]: Simplify (/ 1 1) into 1 7.038 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 7.038 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 7.038 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.038 * [taylor]: Taking taylor expansion of re in im 7.038 * [backup-simplify]: Simplify re into re 7.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.038 * [taylor]: Taking taylor expansion of re in im 7.038 * [backup-simplify]: Simplify re into re 7.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.038 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.038 * [taylor]: Taking taylor expansion of im in im 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [backup-simplify]: Simplify (* 1 1) into 1 7.039 * [backup-simplify]: Simplify (/ 1 1) into 1 7.039 * [backup-simplify]: Simplify (+ 0 1) into 1 7.039 * [backup-simplify]: Simplify (sqrt 1) into 1 7.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.040 * [backup-simplify]: Simplify (+ 0 0) into 0 7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.041 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.041 * [taylor]: Taking taylor expansion of im in im 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (+ 0 1) into 1 7.041 * [backup-simplify]: Simplify (* 1 1) into 1 7.042 * [backup-simplify]: Simplify (* 1 1) into 1 7.042 * [backup-simplify]: Simplify (/ 1 1) into 1 7.042 * [taylor]: Taking taylor expansion of 1 in re 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 7.043 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 7.043 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 7.043 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.043 * [taylor]: Taking taylor expansion of re in re 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify (/ 1 1) into 1 7.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (- 0) into 0 7.044 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 7.047 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.047 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 7.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 7.048 * [taylor]: Taking taylor expansion of 1/2 in re 7.048 * [backup-simplify]: Simplify 1/2 into 1/2 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.048 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.048 * [taylor]: Taking taylor expansion of re in re 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.048 * [backup-simplify]: Simplify (* 1 1) into 1 7.049 * [backup-simplify]: Simplify (/ 1 1) into 1 7.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.052 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.053 * [backup-simplify]: Simplify (- 0) into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify (/ (+ 0 (* (/ 1 (- im)) (/ 1 (- im)))) (+ (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)))) 7.053 * [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 7.053 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 7.053 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 7.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.053 * [taylor]: Taking taylor expansion of im in re 7.053 * [backup-simplify]: Simplify im into im 7.053 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 7.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.053 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.053 * [taylor]: Taking taylor expansion of re in re 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify 1 into 1 7.054 * [backup-simplify]: Simplify (* 1 1) into 1 7.054 * [backup-simplify]: Simplify (/ 1 1) into 1 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.054 * [taylor]: Taking taylor expansion of im in re 7.054 * [backup-simplify]: Simplify im into im 7.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.054 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.054 * [backup-simplify]: Simplify (+ 1 0) into 1 7.055 * [backup-simplify]: Simplify (sqrt 1) into 1 7.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify (+ 0 0) into 0 7.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.056 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.056 * [taylor]: Taking taylor expansion of re in re 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (/ 1 1) into 1 7.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.057 * [backup-simplify]: Simplify (- 1) into -1 7.057 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.057 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 7.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.058 * [backup-simplify]: Simplify (- 0) into 0 7.058 * [backup-simplify]: Simplify (+ 0 0) into 0 7.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.058 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 7.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.060 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.061 * [backup-simplify]: Simplify (- 0) into 0 7.061 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.061 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.062 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 7.062 * [backup-simplify]: Simplify (/ 1 1/2) into 2 7.062 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 7.062 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 7.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.062 * [taylor]: Taking taylor expansion of im in im 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.062 * [taylor]: Taking taylor expansion of re in im 7.062 * [backup-simplify]: Simplify re into re 7.062 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.062 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.062 * [taylor]: Taking taylor expansion of im in im 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.063 * [backup-simplify]: Simplify (* 1 1) into 1 7.063 * [backup-simplify]: Simplify (/ 1 1) into 1 7.063 * [backup-simplify]: Simplify (+ 0 1) into 1 7.063 * [backup-simplify]: Simplify (sqrt 1) into 1 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (+ 0 0) into 0 7.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.065 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.065 * [taylor]: Taking taylor expansion of re in im 7.065 * [backup-simplify]: Simplify re into re 7.065 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.065 * [backup-simplify]: Simplify (* 1 1) into 1 7.065 * [backup-simplify]: Simplify (+ 1 0) into 1 7.066 * [backup-simplify]: Simplify (* 1 1) into 1 7.066 * [backup-simplify]: Simplify (/ 1 1) into 1 7.066 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 7.066 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 7.066 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.066 * [taylor]: Taking taylor expansion of im in im 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 1 into 1 7.066 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.066 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.066 * [taylor]: Taking taylor expansion of re in im 7.066 * [backup-simplify]: Simplify re into re 7.066 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.066 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.067 * [taylor]: Taking taylor expansion of im in im 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (* 1 1) into 1 7.067 * [backup-simplify]: Simplify (/ 1 1) into 1 7.067 * [backup-simplify]: Simplify (+ 0 1) into 1 7.068 * [backup-simplify]: Simplify (sqrt 1) into 1 7.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.069 * [backup-simplify]: Simplify (+ 0 0) into 0 7.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.069 * [taylor]: Taking taylor expansion of re in im 7.069 * [backup-simplify]: Simplify re into re 7.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.069 * [backup-simplify]: Simplify (* 1 1) into 1 7.070 * [backup-simplify]: Simplify (+ 1 0) into 1 7.070 * [backup-simplify]: Simplify (* 1 1) into 1 7.070 * [backup-simplify]: Simplify (/ 1 1) into 1 7.070 * [taylor]: Taking taylor expansion of 1 in re 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 7.070 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.071 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 7.071 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.071 * [taylor]: Taking taylor expansion of re in re 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (/ 1 1) into 1 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify 1 into 1 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 7.074 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.074 * [backup-simplify]: Simplify (- 0) into 0 7.074 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 7.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 7.075 * [taylor]: Taking taylor expansion of 1/2 in re 7.075 * [backup-simplify]: Simplify 1/2 into 1/2 7.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.075 * [taylor]: Taking taylor expansion of re in re 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (* 1 1) into 1 7.076 * [backup-simplify]: Simplify (/ 1 1) into 1 7.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.077 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (+ 0 0) into 0 7.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 7.080 * [backup-simplify]: Simplify (- 0) into 0 7.080 * [backup-simplify]: Simplify (+ 0 0) into 0 7.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 7.082 * [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 7.082 * [taylor]: Taking taylor expansion of 0 in re 7.082 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 7.085 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.085 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) 7.085 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0 7.085 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re 7.085 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 7.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.085 * [taylor]: Taking taylor expansion of 2.0 in re 7.085 * [backup-simplify]: Simplify 2.0 into 2.0 7.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.086 * [taylor]: Taking taylor expansion of im in re 7.086 * [backup-simplify]: Simplify im into im 7.086 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 7.086 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 7.086 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 7.086 * [taylor]: Taking taylor expansion of re in re 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify 1 into 1 7.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.086 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.086 * [taylor]: Taking taylor expansion of im in re 7.086 * [backup-simplify]: Simplify im into im 7.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.086 * [taylor]: Taking taylor expansion of re in re 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify 1 into 1 7.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.086 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.086 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.087 * [backup-simplify]: Simplify (+ 0 0) into 0 7.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.087 * [backup-simplify]: Simplify (+ 0 im) into im 7.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.087 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 7.087 * [backup-simplify]: Simplify (+ 1 0) into 1 7.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 7.087 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 7.087 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 7.087 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.087 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.087 * [taylor]: Taking taylor expansion of 2.0 in im 7.087 * [backup-simplify]: Simplify 2.0 into 2.0 7.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.088 * [taylor]: Taking taylor expansion of im in im 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 7.088 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 7.088 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 7.088 * [taylor]: Taking taylor expansion of re in im 7.088 * [backup-simplify]: Simplify re into re 7.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.088 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.088 * [taylor]: Taking taylor expansion of im in im 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.088 * [taylor]: Taking taylor expansion of re in im 7.088 * [backup-simplify]: Simplify re into re 7.088 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.088 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.088 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.088 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.089 * [backup-simplify]: Simplify (+ 0 0) into 0 7.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.089 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.089 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.089 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.089 * [backup-simplify]: Simplify (+ 0 0) into 0 7.089 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 7.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 7.089 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 7.089 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.089 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.089 * [taylor]: Taking taylor expansion of 2.0 in im 7.089 * [backup-simplify]: Simplify 2.0 into 2.0 7.090 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.090 * [taylor]: Taking taylor expansion of im in im 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 7.090 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 7.090 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 7.090 * [taylor]: Taking taylor expansion of re in im 7.090 * [backup-simplify]: Simplify re into re 7.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.090 * [taylor]: Taking taylor expansion of im in im 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.090 * [taylor]: Taking taylor expansion of re in im 7.090 * [backup-simplify]: Simplify re into re 7.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.090 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.090 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.091 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.091 * [backup-simplify]: Simplify (+ 0 0) into 0 7.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.091 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.091 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.091 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.091 * [backup-simplify]: Simplify (+ 0 0) into 0 7.091 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 7.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 7.092 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.092 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 7.092 * [taylor]: Taking taylor expansion of 0 in re 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 7.094 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 7.094 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 7.094 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 7.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.094 * [taylor]: Taking taylor expansion of 2.0 in re 7.094 * [backup-simplify]: Simplify 2.0 into 2.0 7.094 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.095 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 7.095 * [taylor]: Taking taylor expansion of 1/2 in re 7.095 * [backup-simplify]: Simplify 1/2 into 1/2 7.095 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 7.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.096 * [taylor]: Taking taylor expansion of re in re 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [backup-simplify]: Simplify (/ 1 1) into 1 7.096 * [backup-simplify]: Simplify (sqrt 0) into 0 7.097 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.098 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 7.099 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 7.105 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 7.107 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify (* 1 1) into 1 7.108 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.108 * [backup-simplify]: Simplify (+ 1 0) into 1 7.108 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.108 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 7.109 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 7.109 * [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)))) 7.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.111 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 7.112 * [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 7.112 * [taylor]: Taking taylor expansion of 0 in re 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.115 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 7.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.116 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 7.119 * [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)))) 7.121 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.122 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 7.122 * [backup-simplify]: Simplify (+ 0 0) into 0 7.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 7.122 * [backup-simplify]: Simplify (+ 0 0) into 0 7.122 * [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 7.123 * [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 7.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.125 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.128 * [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)))))) 7.128 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 7.128 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 7.128 * [taylor]: Taking taylor expansion of 1/16 in re 7.128 * [backup-simplify]: Simplify 1/16 into 1/16 7.128 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 7.128 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 7.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.128 * [taylor]: Taking taylor expansion of 2.0 in re 7.128 * [backup-simplify]: Simplify 2.0 into 2.0 7.128 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.129 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 7.129 * [taylor]: Taking taylor expansion of 1/2 in re 7.129 * [backup-simplify]: Simplify 1/2 into 1/2 7.130 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.132 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 7.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 7.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 7.132 * [taylor]: Taking taylor expansion of (pow re 5) in re 7.132 * [taylor]: Taking taylor expansion of re in re 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (* 1 1) into 1 7.133 * [backup-simplify]: Simplify (* 1 1) into 1 7.133 * [backup-simplify]: Simplify (* 1 1) into 1 7.133 * [backup-simplify]: Simplify (/ 1 1) into 1 7.134 * [backup-simplify]: Simplify (sqrt 0) into 0 7.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.144 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.150 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 7.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.152 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 7.153 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 7.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 7.158 * [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 7.163 * [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)))) 7.167 * [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)))) 7.171 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.172 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 7.181 * [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)))) 7.185 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.189 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.195 * [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))))))))) 7.196 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ 0 (* (/ 1 im) (/ 1 im))) (+ (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)))))))) 7.196 * [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 7.196 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 7.196 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 7.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.196 * [taylor]: Taking taylor expansion of 2.0 in re 7.196 * [backup-simplify]: Simplify 2.0 into 2.0 7.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.197 * [taylor]: Taking taylor expansion of im in re 7.197 * [backup-simplify]: Simplify im into im 7.197 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 7.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 7.197 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 7.197 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 7.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.197 * [taylor]: Taking taylor expansion of re in re 7.197 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify 1 into 1 7.197 * [backup-simplify]: Simplify (/ 1 1) into 1 7.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.197 * [taylor]: Taking taylor expansion of re in re 7.197 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (* 1 1) into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.198 * [taylor]: Taking taylor expansion of im in re 7.198 * [backup-simplify]: Simplify im into im 7.198 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.198 * [backup-simplify]: Simplify (+ 1 0) into 1 7.198 * [backup-simplify]: Simplify (sqrt 1) into 1 7.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (+ 0 0) into 0 7.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.200 * [backup-simplify]: Simplify (+ 1 1) into 2 7.201 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.201 * [backup-simplify]: Simplify (sqrt 0) into 0 7.202 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 7.202 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 7.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.202 * [taylor]: Taking taylor expansion of 2.0 in im 7.202 * [backup-simplify]: Simplify 2.0 into 2.0 7.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.203 * [taylor]: Taking taylor expansion of im in im 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.203 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 7.203 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 7.203 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.203 * [taylor]: Taking taylor expansion of re in im 7.203 * [backup-simplify]: Simplify re into re 7.203 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.204 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.204 * [taylor]: Taking taylor expansion of re in im 7.204 * [backup-simplify]: Simplify re into re 7.204 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.204 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.204 * [taylor]: Taking taylor expansion of im in im 7.204 * [backup-simplify]: Simplify 0 into 0 7.204 * [backup-simplify]: Simplify 1 into 1 7.204 * [backup-simplify]: Simplify (* 1 1) into 1 7.204 * [backup-simplify]: Simplify (/ 1 1) into 1 7.205 * [backup-simplify]: Simplify (+ 0 1) into 1 7.205 * [backup-simplify]: Simplify (sqrt 1) into 1 7.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (+ 0 0) into 0 7.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.207 * [backup-simplify]: Simplify (+ 0 1) into 1 7.207 * [backup-simplify]: Simplify (/ 1 1) into 1 7.207 * [backup-simplify]: Simplify (sqrt 0) into 0 7.208 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.208 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 7.208 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.208 * [taylor]: Taking taylor expansion of 2.0 in im 7.208 * [backup-simplify]: Simplify 2.0 into 2.0 7.208 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.209 * [taylor]: Taking taylor expansion of im in im 7.209 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify 1 into 1 7.209 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 7.209 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 7.209 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.209 * [taylor]: Taking taylor expansion of re in im 7.209 * [backup-simplify]: Simplify re into re 7.209 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.209 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.209 * [taylor]: Taking taylor expansion of re in im 7.209 * [backup-simplify]: Simplify re into re 7.209 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.210 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.210 * [taylor]: Taking taylor expansion of im in im 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.210 * [backup-simplify]: Simplify (* 1 1) into 1 7.210 * [backup-simplify]: Simplify (/ 1 1) into 1 7.210 * [backup-simplify]: Simplify (+ 0 1) into 1 7.211 * [backup-simplify]: Simplify (sqrt 1) into 1 7.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (+ 0 0) into 0 7.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.212 * [backup-simplify]: Simplify (+ 0 1) into 1 7.213 * [backup-simplify]: Simplify (/ 1 1) into 1 7.213 * [backup-simplify]: Simplify (sqrt 0) into 0 7.214 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.214 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.214 * [taylor]: Taking taylor expansion of 0 in re 7.214 * [backup-simplify]: Simplify 0 into 0 7.214 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.220 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 7.220 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.220 * [taylor]: Taking taylor expansion of +nan.0 in re 7.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.221 * [taylor]: Taking taylor expansion of 2.0 in re 7.221 * [backup-simplify]: Simplify 2.0 into 2.0 7.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.222 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.223 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.224 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 7.225 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 7.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [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))))) 7.227 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.227 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.227 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.227 * [taylor]: Taking taylor expansion of +nan.0 in re 7.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.227 * [taylor]: Taking taylor expansion of 2.0 in re 7.227 * [backup-simplify]: Simplify 2.0 into 2.0 7.227 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.228 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.228 * [taylor]: Taking taylor expansion of +nan.0 in re 7.228 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.228 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.228 * [taylor]: Taking taylor expansion of 2.0 in re 7.228 * [backup-simplify]: Simplify 2.0 into 2.0 7.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.228 * [taylor]: Taking taylor expansion of re in re 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.230 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.231 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.231 * [backup-simplify]: Simplify (- 0) into 0 7.232 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.233 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.235 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.235 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.236 * [backup-simplify]: Simplify (- 0) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 7.239 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.239 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.240 * [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)))) 7.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.244 * [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)))))))) 7.244 * [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 7.244 * [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 7.244 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.244 * [taylor]: Taking taylor expansion of +nan.0 in re 7.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.245 * [taylor]: Taking taylor expansion of 2.0 in re 7.245 * [backup-simplify]: Simplify 2.0 into 2.0 7.245 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.246 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 7.246 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 7.246 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.246 * [taylor]: Taking taylor expansion of +nan.0 in re 7.246 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.246 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.246 * [taylor]: Taking taylor expansion of 2.0 in re 7.246 * [backup-simplify]: Simplify 2.0 into 2.0 7.246 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.247 * [taylor]: Taking taylor expansion of re in re 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.248 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 7.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 7.248 * [taylor]: Taking taylor expansion of +nan.0 in re 7.249 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.249 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 7.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.249 * [taylor]: Taking taylor expansion of 2.0 in re 7.249 * [backup-simplify]: Simplify 2.0 into 2.0 7.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.249 * [taylor]: Taking taylor expansion of re in re 7.249 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 1 into 1 7.250 * [backup-simplify]: Simplify (* 1 1) into 1 7.250 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.251 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.252 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.256 * [backup-simplify]: Simplify (+ 0 0) into 0 7.256 * [backup-simplify]: Simplify (- 0) into 0 7.257 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.258 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.259 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.262 * [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)))))))) 7.262 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ 0 (* (/ 1 (- im)) (/ 1 (- im)))) (+ (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))))) 7.262 * [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 7.262 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 7.263 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 7.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.263 * [taylor]: Taking taylor expansion of 2.0 in re 7.263 * [backup-simplify]: Simplify 2.0 into 2.0 7.263 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.263 * [taylor]: Taking taylor expansion of im in re 7.263 * [backup-simplify]: Simplify im into im 7.264 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 7.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 7.264 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 7.264 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 7.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.264 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.264 * [taylor]: Taking taylor expansion of re in re 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (* 1 1) into 1 7.264 * [backup-simplify]: Simplify (/ 1 1) into 1 7.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.264 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.264 * [taylor]: Taking taylor expansion of im in re 7.264 * [backup-simplify]: Simplify im into im 7.264 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.264 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.265 * [backup-simplify]: Simplify (+ 1 0) into 1 7.265 * [backup-simplify]: Simplify (sqrt 1) into 1 7.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.266 * [backup-simplify]: Simplify (+ 0 0) into 0 7.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.267 * [taylor]: Taking taylor expansion of re in re 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (/ 1 1) into 1 7.267 * [backup-simplify]: Simplify (- 1) into -1 7.267 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.268 * [backup-simplify]: Simplify (- 0) into 0 7.268 * [backup-simplify]: Simplify (+ 0 0) into 0 7.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.271 * [backup-simplify]: Simplify (- 0) into 0 7.271 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.272 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 7.272 * [backup-simplify]: Simplify (sqrt 0) into 0 7.272 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 7.272 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 7.272 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.272 * [taylor]: Taking taylor expansion of 2.0 in im 7.272 * [backup-simplify]: Simplify 2.0 into 2.0 7.273 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.273 * [taylor]: Taking taylor expansion of im in im 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 7.274 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 7.274 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.274 * [taylor]: Taking taylor expansion of re in im 7.274 * [backup-simplify]: Simplify re into re 7.274 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.274 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.274 * [taylor]: Taking taylor expansion of im in im 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (* 1 1) into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.275 * [backup-simplify]: Simplify (+ 0 1) into 1 7.275 * [backup-simplify]: Simplify (sqrt 1) into 1 7.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify (+ 0 0) into 0 7.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.276 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.276 * [taylor]: Taking taylor expansion of re in im 7.276 * [backup-simplify]: Simplify re into re 7.277 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.277 * [backup-simplify]: Simplify (+ 1 0) into 1 7.277 * [backup-simplify]: Simplify (/ 1 1) into 1 7.277 * [backup-simplify]: Simplify (sqrt 0) into 0 7.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.279 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 7.279 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.279 * [taylor]: Taking taylor expansion of 2.0 in im 7.279 * [backup-simplify]: Simplify 2.0 into 2.0 7.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.280 * [taylor]: Taking taylor expansion of im in im 7.280 * [backup-simplify]: Simplify 0 into 0 7.280 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 7.281 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 7.281 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.281 * [taylor]: Taking taylor expansion of re in im 7.281 * [backup-simplify]: Simplify re into re 7.281 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.282 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.282 * [taylor]: Taking taylor expansion of im in im 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify 1 into 1 7.282 * [backup-simplify]: Simplify (* 1 1) into 1 7.282 * [backup-simplify]: Simplify (/ 1 1) into 1 7.283 * [backup-simplify]: Simplify (+ 0 1) into 1 7.283 * [backup-simplify]: Simplify (sqrt 1) into 1 7.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (+ 0 0) into 0 7.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.286 * [taylor]: Taking taylor expansion of re in im 7.286 * [backup-simplify]: Simplify re into re 7.286 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.287 * [backup-simplify]: Simplify (+ 1 0) into 1 7.287 * [backup-simplify]: Simplify (/ 1 1) into 1 7.287 * [backup-simplify]: Simplify (sqrt 0) into 0 7.289 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.289 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.289 * [taylor]: Taking taylor expansion of 0 in re 7.289 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.292 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.292 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 7.292 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.292 * [taylor]: Taking taylor expansion of +nan.0 in re 7.292 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.292 * [taylor]: Taking taylor expansion of 2.0 in re 7.292 * [backup-simplify]: Simplify 2.0 into 2.0 7.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 7.294 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 7.295 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 7.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.298 * [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))))) 7.298 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.298 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.298 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.298 * [taylor]: Taking taylor expansion of +nan.0 in re 7.298 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.298 * [taylor]: Taking taylor expansion of 2.0 in re 7.298 * [backup-simplify]: Simplify 2.0 into 2.0 7.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.299 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.299 * [taylor]: Taking taylor expansion of +nan.0 in re 7.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.299 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.299 * [taylor]: Taking taylor expansion of 2.0 in re 7.299 * [backup-simplify]: Simplify 2.0 into 2.0 7.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.301 * [taylor]: Taking taylor expansion of re in re 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.302 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.304 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.306 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.308 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.310 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.310 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.312 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.313 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.313 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.315 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 7.316 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.317 * [backup-simplify]: Simplify (- 0) into 0 7.317 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 7.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.318 * [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)))) 7.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.322 * [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)))))))) 7.322 * [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 7.322 * [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 7.322 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.322 * [taylor]: Taking taylor expansion of +nan.0 in re 7.322 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.322 * [taylor]: Taking taylor expansion of 2.0 in re 7.322 * [backup-simplify]: Simplify 2.0 into 2.0 7.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.323 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 7.323 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 7.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.324 * [taylor]: Taking taylor expansion of +nan.0 in re 7.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.324 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.324 * [taylor]: Taking taylor expansion of 2.0 in re 7.324 * [backup-simplify]: Simplify 2.0 into 2.0 7.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.325 * [taylor]: Taking taylor expansion of re in re 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 1 into 1 7.326 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 7.326 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 7.326 * [taylor]: Taking taylor expansion of +nan.0 in re 7.326 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 7.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.326 * [taylor]: Taking taylor expansion of 2.0 in re 7.326 * [backup-simplify]: Simplify 2.0 into 2.0 7.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.327 * [taylor]: Taking taylor expansion of re in re 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (* 1 1) into 1 7.335 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.336 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.338 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.338 * [backup-simplify]: Simplify (- 0) into 0 7.340 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.342 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.345 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.347 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.348 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.353 * [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))))))) 7.353 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 7.354 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 7.354 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 7.354 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 7.354 * [taylor]: Taking taylor expansion of re in im 7.354 * [backup-simplify]: Simplify re into re 7.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.354 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.354 * [taylor]: Taking taylor expansion of im in im 7.354 * [backup-simplify]: Simplify 0 into 0 7.354 * [backup-simplify]: Simplify 1 into 1 7.354 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.354 * [taylor]: Taking taylor expansion of re in im 7.354 * [backup-simplify]: Simplify re into re 7.354 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.354 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.354 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.354 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.355 * [backup-simplify]: Simplify (+ 0 0) into 0 7.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.355 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 7.355 * [taylor]: Taking taylor expansion of re in re 7.355 * [backup-simplify]: Simplify 0 into 0 7.355 * [backup-simplify]: Simplify 1 into 1 7.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.355 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.355 * [taylor]: Taking taylor expansion of im in re 7.355 * [backup-simplify]: Simplify im into im 7.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.355 * [taylor]: Taking taylor expansion of re in re 7.355 * [backup-simplify]: Simplify 0 into 0 7.355 * [backup-simplify]: Simplify 1 into 1 7.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.356 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.356 * [backup-simplify]: Simplify (+ 0 0) into 0 7.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.356 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 7.356 * [taylor]: Taking taylor expansion of re in re 7.356 * [backup-simplify]: Simplify 0 into 0 7.356 * [backup-simplify]: Simplify 1 into 1 7.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.356 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.356 * [taylor]: Taking taylor expansion of im in re 7.356 * [backup-simplify]: Simplify im into im 7.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.356 * [taylor]: Taking taylor expansion of re in re 7.356 * [backup-simplify]: Simplify 0 into 0 7.356 * [backup-simplify]: Simplify 1 into 1 7.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.357 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.357 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.357 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.357 * [backup-simplify]: Simplify (+ 0 0) into 0 7.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.357 * [backup-simplify]: Simplify (+ 0 im) into im 7.357 * [taylor]: Taking taylor expansion of im in im 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 1 into 1 7.357 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify (+ 1 0) into 1 7.358 * [taylor]: Taking taylor expansion of 1 in im 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [backup-simplify]: Simplify 1 into 1 7.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.359 * [backup-simplify]: Simplify (* 1 1) into 1 7.360 * [backup-simplify]: Simplify (+ 0 1) into 1 7.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.361 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 7.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.361 * [taylor]: Taking taylor expansion of 1/2 in im 7.361 * [backup-simplify]: Simplify 1/2 into 1/2 7.361 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.361 * [taylor]: Taking taylor expansion of im in im 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 1 into 1 7.361 * [backup-simplify]: Simplify (/ 1 1) into 1 7.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.364 * [backup-simplify]: Simplify (+ 0 0) into 0 7.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.365 * [backup-simplify]: Simplify (+ 0 0) into 0 7.365 * [taylor]: Taking taylor expansion of 0 in im 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 7.368 * [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))))) 7.368 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 7.368 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.368 * [taylor]: Taking taylor expansion of re in im 7.368 * [backup-simplify]: Simplify re into re 7.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.368 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.368 * [taylor]: Taking taylor expansion of re in im 7.368 * [backup-simplify]: Simplify re into re 7.368 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.368 * [taylor]: Taking taylor expansion of im in im 7.368 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify 1 into 1 7.369 * [backup-simplify]: Simplify (* 1 1) into 1 7.369 * [backup-simplify]: Simplify (/ 1 1) into 1 7.370 * [backup-simplify]: Simplify (+ 0 1) into 1 7.370 * [backup-simplify]: Simplify (sqrt 1) into 1 7.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.373 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 7.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.373 * [taylor]: Taking taylor expansion of re in re 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [backup-simplify]: Simplify (/ 1 1) into 1 7.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.373 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.373 * [taylor]: Taking taylor expansion of re in re 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.374 * [backup-simplify]: Simplify (* 1 1) into 1 7.374 * [backup-simplify]: Simplify (/ 1 1) into 1 7.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.374 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.374 * [taylor]: Taking taylor expansion of im in re 7.374 * [backup-simplify]: Simplify im into im 7.374 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.374 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.375 * [backup-simplify]: Simplify (+ 1 0) into 1 7.375 * [backup-simplify]: Simplify (sqrt 1) into 1 7.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.377 * [backup-simplify]: Simplify (+ 0 0) into 0 7.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.378 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 7.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.378 * [taylor]: Taking taylor expansion of re in re 7.378 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify 1 into 1 7.378 * [backup-simplify]: Simplify (/ 1 1) into 1 7.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.378 * [taylor]: Taking taylor expansion of re in re 7.378 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify 1 into 1 7.378 * [backup-simplify]: Simplify (* 1 1) into 1 7.378 * [backup-simplify]: Simplify (/ 1 1) into 1 7.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.379 * [taylor]: Taking taylor expansion of im in re 7.379 * [backup-simplify]: Simplify im into im 7.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.379 * [backup-simplify]: Simplify (+ 1 0) into 1 7.379 * [backup-simplify]: Simplify (sqrt 1) into 1 7.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (+ 0 0) into 0 7.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.381 * [backup-simplify]: Simplify (+ 1 1) into 2 7.381 * [taylor]: Taking taylor expansion of 2 in im 7.381 * [backup-simplify]: Simplify 2 into 2 7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.382 * [backup-simplify]: Simplify (+ 0 0) into 0 7.382 * [taylor]: Taking taylor expansion of 0 in im 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify 2 into 2 7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.384 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.384 * [taylor]: Taking taylor expansion of 1/2 in im 7.384 * [backup-simplify]: Simplify 1/2 into 1/2 7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.384 * [taylor]: Taking taylor expansion of im in im 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (* 1 1) into 1 7.385 * [backup-simplify]: Simplify (/ 1 1) into 1 7.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.389 * [backup-simplify]: Simplify (+ 0 0) into 0 7.389 * [taylor]: Taking taylor expansion of 0 in im 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 7.391 * [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)) 7.391 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 7.391 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.391 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.391 * [taylor]: Taking taylor expansion of re in im 7.391 * [backup-simplify]: Simplify re into re 7.391 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.391 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.391 * [taylor]: Taking taylor expansion of im in im 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (* 1 1) into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (+ 0 1) into 1 7.392 * [backup-simplify]: Simplify (sqrt 1) into 1 7.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.393 * [backup-simplify]: Simplify (+ 0 0) into 0 7.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.393 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.393 * [taylor]: Taking taylor expansion of re in im 7.393 * [backup-simplify]: Simplify re into re 7.393 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.393 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 7.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.394 * [taylor]: Taking taylor expansion of re in re 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify 1 into 1 7.394 * [backup-simplify]: Simplify (* 1 1) into 1 7.394 * [backup-simplify]: Simplify (/ 1 1) into 1 7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.394 * [taylor]: Taking taylor expansion of im in re 7.394 * [backup-simplify]: Simplify im into im 7.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.394 * [backup-simplify]: Simplify (+ 1 0) into 1 7.395 * [backup-simplify]: Simplify (sqrt 1) into 1 7.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.396 * [taylor]: Taking taylor expansion of re in re 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.396 * [backup-simplify]: Simplify (/ 1 1) into 1 7.396 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 7.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.397 * [taylor]: Taking taylor expansion of re in re 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [backup-simplify]: Simplify (* 1 1) into 1 7.397 * [backup-simplify]: Simplify (/ 1 1) into 1 7.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.397 * [taylor]: Taking taylor expansion of im in re 7.397 * [backup-simplify]: Simplify im into im 7.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.397 * [backup-simplify]: Simplify (+ 1 0) into 1 7.398 * [backup-simplify]: Simplify (sqrt 1) into 1 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (+ 0 0) into 0 7.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.399 * [taylor]: Taking taylor expansion of re in re 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 1 into 1 7.400 * [backup-simplify]: Simplify (/ 1 1) into 1 7.400 * [backup-simplify]: Simplify (- 1) into -1 7.400 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.400 * [taylor]: Taking taylor expansion of 0 in im 7.400 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (- 0) into 0 7.401 * [backup-simplify]: Simplify (+ 0 0) into 0 7.401 * [taylor]: Taking taylor expansion of 0 in im 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.404 * [backup-simplify]: Simplify (- 0) into 0 7.404 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.404 * [taylor]: Taking taylor expansion of 1/2 in im 7.404 * [backup-simplify]: Simplify 1/2 into 1/2 7.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.404 * [taylor]: Taking taylor expansion of im in im 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.404 * [backup-simplify]: Simplify (* 1 1) into 1 7.405 * [backup-simplify]: Simplify (/ 1 1) into 1 7.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.409 * [backup-simplify]: Simplify (+ 0 0) into 0 7.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.412 * [backup-simplify]: Simplify (+ 0 0) into 0 7.412 * [taylor]: Taking taylor expansion of 0 in im 7.412 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * * * [progress]: simplifying candidates 7.415 * * * * [progress]: [ 1 / 90 ] simplifiying candidate # 7.415 * * * * [progress]: [ 2 / 90 ] simplifiying candidate # 7.415 * * * * [progress]: [ 3 / 90 ] simplifiying candidate # 7.415 * * * * [progress]: [ 4 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 5 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 6 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 7 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 8 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 9 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 10 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 11 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 12 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 13 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 14 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 15 / 90 ] simplifiying candidate # 7.416 * * * * [progress]: [ 16 / 90 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))))> 7.416 * * * * [progress]: [ 17 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 18 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 19 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 20 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 21 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 22 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 23 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 24 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 25 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 26 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 27 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 28 / 90 ] simplifiying candidate # 7.417 * * * * [progress]: [ 29 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 30 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 31 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 32 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 33 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 34 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 35 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 36 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 37 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 38 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 39 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 40 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 41 / 90 ] simplifiying candidate # 7.418 * * * * [progress]: [ 42 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 43 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 44 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 45 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 46 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 47 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 48 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 49 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 50 / 90 ] simplifiying candidate # 7.419 * * * * [progress]: [ 51 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 52 / 90 ] simplifiying candidate #real (real->posit16 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))))))> 7.420 * * * * [progress]: [ 53 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 54 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 55 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 56 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 57 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 58 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 59 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 60 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 61 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 62 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 63 / 90 ] simplifiying candidate # 7.420 * * * * [progress]: [ 64 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 65 / 90 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))))))> 7.421 * * * * [progress]: [ 66 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 67 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 68 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 69 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 70 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 71 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 72 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 73 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 74 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 75 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 76 / 90 ] simplifiying candidate # 7.421 * * * * [progress]: [ 77 / 90 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))))))))> 7.422 * * * * [progress]: [ 78 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 79 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 80 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 81 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 82 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 83 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 84 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 85 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 86 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 87 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 88 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 89 / 90 ] simplifiying candidate # 7.422 * * * * [progress]: [ 90 / 90 ] simplifiying candidate # 7.424 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (- (log (+ 0 (* im im))) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (+ 0 (* im im)) (+ 0 (* im im))) (+ 0 (* im im))) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (- (+ 0 (* im im))) (- (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ 0 (* im im))) (cbrt (+ 0 (* im im)))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (+ 0 (* im im))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ 0 (* im im))) (cbrt (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (+ 0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ 0 (* im im))) (cbrt (+ 0 (* im im)))) 1) (/ (cbrt (+ 0 (* im im))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ 0 (* im im))) (cbrt (+ 0 (* im im)))) 1) (/ (cbrt (+ 0 (* im im))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ 0 (* im im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (+ 0 (* im im))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ 0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ 0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ 0 (* im im))) 1) (/ (sqrt (+ 0 (* im im))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ 0 (* im im))) 1) (/ (sqrt (+ 0 (* im im))) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (+ 0 (* im im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ 0 (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 1) (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ 0 (* im im))) (/ (+ 0 (* im im)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (+ 0 (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (+ 0 (* im im)) 1) (/ (+ 0 (* im im)) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (+ 0 (* im im)))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ 0 (* im im)))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (+ 0 (* im im))) (/ (+ 0 (* im im)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (+ 0 (* im im)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (* 0 0) (- (* (* im im) (* im im)) (* 0 (* im im))))) (* (+ (sqrt (+ (* re re) (* im im))) re) (- 0 (* im im))) (real->posit16 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ 0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (+ 0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re))))) (real->posit16 (sqrt (* 2.0 (/ (+ 0 (* im 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) (real->posit16 (+ (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 7.428 * * [simplify]: iteration 0: 166 enodes 7.474 * * [simplify]: iteration 1: 394 enodes 7.610 * * [simplify]: iteration 2: 1133 enodes 7.906 * * [simplify]: iteration 3: 2001 enodes 8.273 * * [simplify]: iteration complete: 2001 enodes 8.273 * * [simplify]: Extracting #0: cost 81 inf + 0 8.274 * * [simplify]: Extracting #1: cost 274 inf + 87 8.278 * * [simplify]: Extracting #2: cost 402 inf + 4771 8.289 * * [simplify]: Extracting #3: cost 438 inf + 31818 8.312 * * [simplify]: Extracting #4: cost 157 inf + 97325 8.336 * * [simplify]: Extracting #5: cost 46 inf + 127670 8.364 * * [simplify]: Extracting #6: cost 17 inf + 132501 8.389 * * [simplify]: Extracting #7: cost 1 inf + 135985 8.428 * * [simplify]: Extracting #8: cost 0 inf + 136278 8.456 * [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)) (* (* im im) (* re re))) (* (* re re) (* 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)))) (real->posit16 (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)) (- (- (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)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (* im im)) (cbrt (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (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 im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (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) (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))) (/ (* im im) (* im im)) (* (* (* im im) (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) (* (* im im) (- (- (sqrt (+ (* re re) (* im im)))) re)) (real->posit16 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (* 2.0 (/ (* im im) (+ (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 (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (real->posit16 (sqrt (* 2.0 (/ (* im 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)) (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))) (+ (* (- re (sqrt (+ (* re re) (* im im)))) re) (+ (* re re) (* im im))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) im re (- re) 0 0 (- (- re) im) (- (- (* (sqrt 2.0) (* +nan.0 (* (* (sqrt 1/2) im) re))) (* +nan.0 (- (/ (sqrt 2.0) (/ (sqrt 1/2) (* (* im im) im))) (* (* (sqrt 1/2) im) (sqrt 2.0)))))) (+ (* (- (sqrt 2.0)) +nan.0) (- (* +nan.0 (/ (sqrt 2.0) im)) (* (/ +nan.0 im) (/ (sqrt 2.0) im)))) (- (- (/ (* (* re (sqrt 2.0)) +nan.0) (* im im)) (* +nan.0 (- (sqrt 2.0) (/ (* re (sqrt 2.0)) im))))) (+ re im) (* re 2) 0 8.465 * * * [progress]: adding candidates to table 9.513 * * [progress]: iteration 4 / 4 9.513 * * * [progress]: picking best candidate 9.541 * * * * [pick]: Picked # 9.541 * * * [progress]: localizing error 9.568 * * * [progress]: generating rewritten candidates 9.568 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1) 9.574 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 9.642 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2) 9.667 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 9.745 * * * [progress]: generating series expansions 9.745 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1) 9.745 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 9.745 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 9.745 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.745 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.745 * [taylor]: Taking taylor expansion of im in im 9.745 * [backup-simplify]: Simplify 0 into 0 9.745 * [backup-simplify]: Simplify 1 into 1 9.745 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.745 * [taylor]: Taking taylor expansion of re in im 9.745 * [backup-simplify]: Simplify re into re 9.745 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.745 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.746 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.746 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.746 * [backup-simplify]: Simplify (+ 0 0) into 0 9.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.747 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.747 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.747 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.747 * [taylor]: Taking taylor expansion of im in re 9.747 * [backup-simplify]: Simplify im into im 9.747 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.747 * [taylor]: Taking taylor expansion of re in re 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 1 into 1 9.747 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.747 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.747 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.748 * [backup-simplify]: Simplify (+ 0 0) into 0 9.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.748 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.748 * [taylor]: Taking taylor expansion of im in re 9.748 * [backup-simplify]: Simplify im into im 9.748 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.748 * [taylor]: Taking taylor expansion of re in re 9.748 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify 1 into 1 9.748 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.748 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.748 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.748 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.749 * [backup-simplify]: Simplify (+ 0 0) into 0 9.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.749 * [taylor]: Taking taylor expansion of im in im 9.749 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify 1 into 1 9.749 * [backup-simplify]: Simplify 0 into 0 9.749 * [taylor]: Taking taylor expansion of 0 in im 9.749 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify 1 into 1 9.750 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.750 * [backup-simplify]: Simplify (* 1 1) into 1 9.751 * [backup-simplify]: Simplify (+ 0 1) into 1 9.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.751 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.751 * [taylor]: Taking taylor expansion of 1/2 in im 9.751 * [backup-simplify]: Simplify 1/2 into 1/2 9.752 * [taylor]: Taking taylor expansion of im in im 9.752 * [backup-simplify]: Simplify 0 into 0 9.752 * [backup-simplify]: Simplify 1 into 1 9.752 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.753 * [backup-simplify]: Simplify 0 into 0 9.753 * [backup-simplify]: Simplify 0 into 0 9.753 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.755 * [backup-simplify]: Simplify (+ 0 0) into 0 9.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.755 * [taylor]: Taking taylor expansion of 0 in im 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.756 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify 0 into 0 9.757 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.757 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.757 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.757 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.757 * [taylor]: Taking taylor expansion of re in im 9.757 * [backup-simplify]: Simplify re into re 9.757 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.757 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.757 * [taylor]: Taking taylor expansion of im in im 9.757 * [backup-simplify]: Simplify 0 into 0 9.757 * [backup-simplify]: Simplify 1 into 1 9.758 * [backup-simplify]: Simplify (* 1 1) into 1 9.758 * [backup-simplify]: Simplify (/ 1 1) into 1 9.759 * [backup-simplify]: Simplify (+ 0 1) into 1 9.759 * [backup-simplify]: Simplify (sqrt 1) into 1 9.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.761 * [backup-simplify]: Simplify (+ 0 0) into 0 9.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.762 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.762 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.762 * [taylor]: Taking taylor expansion of re in re 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify 1 into 1 9.762 * [backup-simplify]: Simplify (* 1 1) into 1 9.762 * [backup-simplify]: Simplify (/ 1 1) into 1 9.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.762 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.762 * [taylor]: Taking taylor expansion of im in re 9.762 * [backup-simplify]: Simplify im into im 9.763 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.763 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.763 * [backup-simplify]: Simplify (+ 1 0) into 1 9.763 * [backup-simplify]: Simplify (sqrt 1) into 1 9.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.767 * [backup-simplify]: Simplify (+ 0 0) into 0 9.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.767 * [taylor]: Taking taylor expansion of re in re 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.768 * [backup-simplify]: Simplify (* 1 1) into 1 9.768 * [backup-simplify]: Simplify (/ 1 1) into 1 9.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.768 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.768 * [taylor]: Taking taylor expansion of im in re 9.768 * [backup-simplify]: Simplify im into im 9.768 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.768 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.768 * [backup-simplify]: Simplify (+ 1 0) into 1 9.769 * [backup-simplify]: Simplify (sqrt 1) into 1 9.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.770 * [backup-simplify]: Simplify (+ 0 0) into 0 9.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.770 * [taylor]: Taking taylor expansion of 1 in im 9.770 * [backup-simplify]: Simplify 1 into 1 9.770 * [taylor]: Taking taylor expansion of 0 in im 9.770 * [backup-simplify]: Simplify 0 into 0 9.770 * [backup-simplify]: Simplify 1 into 1 9.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.771 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.772 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.772 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.772 * [taylor]: Taking taylor expansion of 1/2 in im 9.772 * [backup-simplify]: Simplify 1/2 into 1/2 9.772 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.772 * [taylor]: Taking taylor expansion of im in im 9.772 * [backup-simplify]: Simplify 0 into 0 9.772 * [backup-simplify]: Simplify 1 into 1 9.773 * [backup-simplify]: Simplify (* 1 1) into 1 9.773 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.774 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.775 * [backup-simplify]: Simplify (+ 0 0) into 0 9.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.776 * [taylor]: Taking taylor expansion of 0 in im 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.777 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.777 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.777 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.777 * [taylor]: Taking taylor expansion of re in im 9.777 * [backup-simplify]: Simplify re into re 9.777 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.777 * [taylor]: Taking taylor expansion of im in im 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify 1 into 1 9.778 * [backup-simplify]: Simplify (* 1 1) into 1 9.778 * [backup-simplify]: Simplify (/ 1 1) into 1 9.778 * [backup-simplify]: Simplify (+ 0 1) into 1 9.778 * [backup-simplify]: Simplify (sqrt 1) into 1 9.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.779 * [backup-simplify]: Simplify (+ 0 0) into 0 9.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.780 * [taylor]: Taking taylor expansion of re in re 9.780 * [backup-simplify]: Simplify 0 into 0 9.780 * [backup-simplify]: Simplify 1 into 1 9.780 * [backup-simplify]: Simplify (* 1 1) into 1 9.780 * [backup-simplify]: Simplify (/ 1 1) into 1 9.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.781 * [taylor]: Taking taylor expansion of im in re 9.781 * [backup-simplify]: Simplify im into im 9.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.781 * [backup-simplify]: Simplify (+ 1 0) into 1 9.781 * [backup-simplify]: Simplify (sqrt 1) into 1 9.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.782 * [backup-simplify]: Simplify (+ 0 0) into 0 9.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.783 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.783 * [taylor]: Taking taylor expansion of re in re 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [backup-simplify]: Simplify (* 1 1) into 1 9.783 * [backup-simplify]: Simplify (/ 1 1) into 1 9.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.783 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.783 * [taylor]: Taking taylor expansion of im in re 9.783 * [backup-simplify]: Simplify im into im 9.783 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.783 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.784 * [backup-simplify]: Simplify (+ 1 0) into 1 9.784 * [backup-simplify]: Simplify (sqrt 1) into 1 9.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.785 * [backup-simplify]: Simplify (+ 0 0) into 0 9.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.786 * [taylor]: Taking taylor expansion of 1 in im 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [taylor]: Taking taylor expansion of 0 in im 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.787 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.788 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.788 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.788 * [taylor]: Taking taylor expansion of 1/2 in im 9.788 * [backup-simplify]: Simplify 1/2 into 1/2 9.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.788 * [taylor]: Taking taylor expansion of im in im 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (* 1 1) into 1 9.788 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.791 * [taylor]: Taking taylor expansion of 0 in im 9.791 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.793 * [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))))))) 9.793 * [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 9.793 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re 9.793 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in re 9.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.793 * [taylor]: Taking taylor expansion of 2.0 in re 9.793 * [backup-simplify]: Simplify 2.0 into 2.0 9.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.794 * [taylor]: Taking taylor expansion of (fabs im) in re 9.795 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 9.795 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 9.795 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 9.795 * [taylor]: Taking taylor expansion of re in re 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify 1 into 1 9.795 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.795 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.795 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.795 * [taylor]: Taking taylor expansion of im in re 9.795 * [backup-simplify]: Simplify im into im 9.795 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.795 * [taylor]: Taking taylor expansion of re in re 9.795 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify 1 into 1 9.796 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.796 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.796 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.796 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.796 * [backup-simplify]: Simplify (+ 0 0) into 0 9.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.796 * [backup-simplify]: Simplify (+ 0 im) into im 9.796 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.796 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 9.796 * [backup-simplify]: Simplify (+ 1 0) into 1 9.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 9.797 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 9.797 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 9.797 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in im 9.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.797 * [taylor]: Taking taylor expansion of 2.0 in im 9.797 * [backup-simplify]: Simplify 2.0 into 2.0 9.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.797 * [taylor]: Taking taylor expansion of (fabs im) in im 9.797 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 9.798 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 9.798 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 9.798 * [taylor]: Taking taylor expansion of re in im 9.798 * [backup-simplify]: Simplify re into re 9.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.798 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.798 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.798 * [taylor]: Taking taylor expansion of im in im 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 1 into 1 9.798 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.798 * [taylor]: Taking taylor expansion of re in im 9.798 * [backup-simplify]: Simplify re into re 9.798 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.798 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.798 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.798 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.798 * [backup-simplify]: Simplify (+ 0 0) into 0 9.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.798 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.798 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.798 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.799 * [backup-simplify]: Simplify (+ 0 0) into 0 9.799 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.799 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 9.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in im 9.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.799 * [taylor]: Taking taylor expansion of 2.0 in im 9.799 * [backup-simplify]: Simplify 2.0 into 2.0 9.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.800 * [taylor]: Taking taylor expansion of (fabs im) in im 9.800 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 9.800 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 9.800 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 9.800 * [taylor]: Taking taylor expansion of re in im 9.800 * [backup-simplify]: Simplify re into re 9.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.800 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.800 * [taylor]: Taking taylor expansion of im in im 9.800 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify 1 into 1 9.800 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.800 * [taylor]: Taking taylor expansion of re in im 9.800 * [backup-simplify]: Simplify re into re 9.800 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.800 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.800 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.800 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.800 * [backup-simplify]: Simplify (+ 0 0) into 0 9.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.800 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.800 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.800 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.801 * [backup-simplify]: Simplify (+ 0 0) into 0 9.801 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.801 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs im)) into (* (sqrt 2.0) (fabs im)) 9.802 * [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))) 9.803 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) (sqrt (/ 1 re))) in re 9.803 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) in re 9.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.803 * [taylor]: Taking taylor expansion of 2.0 in re 9.803 * [backup-simplify]: Simplify 2.0 into 2.0 9.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.804 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 1/2)) in re 9.804 * [taylor]: Taking taylor expansion of (fabs im) in re 9.804 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.804 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.804 * [taylor]: Taking taylor expansion of 1/2 in re 9.804 * [backup-simplify]: Simplify 1/2 into 1/2 9.804 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.805 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 9.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.805 * [taylor]: Taking taylor expansion of re in re 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 1 into 1 9.806 * [backup-simplify]: Simplify (/ 1 1) into 1 9.806 * [backup-simplify]: Simplify (sqrt 0) into 0 9.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.808 * [backup-simplify]: Simplify (* (fabs im) (sqrt 1/2)) into (* (fabs im) (sqrt 1/2)) 9.809 * [backup-simplify]: Simplify (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) into (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))) 9.809 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 1/2))) into 0 9.810 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (* (fabs im) (sqrt 1/2)))) into 0 9.811 * [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))))) 9.812 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))) 9.813 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs im))) into 0 9.814 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs im)) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 9.814 * [taylor]: Taking taylor expansion of 0 in re 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.817 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.819 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.822 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (* (fabs im) (sqrt 1/2))))) into 0 9.823 * [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))))) 9.824 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs im) (sqrt 1/2))))) 9.825 * [backup-simplify]: Simplify (* 1 1) into 1 9.825 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.825 * [backup-simplify]: Simplify (+ 1 0) into 1 9.826 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.826 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 9.827 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 9.828 * [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)))) 9.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.830 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 9.832 * [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)))))) 9.832 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 9.832 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 9.832 * [taylor]: Taking taylor expansion of 1/16 in re 9.832 * [backup-simplify]: Simplify 1/16 into 1/16 9.832 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 9.833 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) in re 9.833 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in re 9.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.833 * [taylor]: Taking taylor expansion of 2.0 in re 9.833 * [backup-simplify]: Simplify 2.0 into 2.0 9.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.834 * [taylor]: Taking taylor expansion of (fabs im) in re 9.834 * [backup-simplify]: Simplify (fabs im) into (fabs im) 9.834 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.834 * [taylor]: Taking taylor expansion of 1/2 in re 9.834 * [backup-simplify]: Simplify 1/2 into 1/2 9.834 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.835 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs im)) into (* (sqrt 2.0) (fabs im)) 9.836 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) into (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) 9.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 9.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 9.836 * [taylor]: Taking taylor expansion of (pow re 5) in re 9.836 * [taylor]: Taking taylor expansion of re in re 9.836 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify 1 into 1 9.837 * [backup-simplify]: Simplify (* 1 1) into 1 9.837 * [backup-simplify]: Simplify (* 1 1) into 1 9.838 * [backup-simplify]: Simplify (* 1 1) into 1 9.838 * [backup-simplify]: Simplify (/ 1 1) into 1 9.838 * [backup-simplify]: Simplify (sqrt 0) into 0 9.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.849 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.854 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs im))) into 0 9.855 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 9.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.857 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 9.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.861 * [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 9.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.864 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs im))))) into 0 9.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.868 * [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 9.870 * [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)))) 9.871 * [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)))) 9.872 * [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)))) 9.873 * [backup-simplify]: Simplify (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)) 0) into 0 9.876 * [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)))) 9.877 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2))))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)))) 9.878 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 1/2)))) 9.881 * [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))))))))) 9.881 * [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)))))))) 9.882 * [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 9.882 * [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 9.882 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re 9.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.882 * [taylor]: Taking taylor expansion of 2.0 in re 9.882 * [backup-simplify]: Simplify 2.0 into 2.0 9.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.889 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 9.889 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 9.889 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 9.889 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.889 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.889 * [taylor]: Taking taylor expansion of re in re 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify 1 into 1 9.889 * [backup-simplify]: Simplify (/ 1 1) into 1 9.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.890 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.890 * [taylor]: Taking taylor expansion of re in re 9.890 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify 1 into 1 9.890 * [backup-simplify]: Simplify (* 1 1) into 1 9.890 * [backup-simplify]: Simplify (/ 1 1) into 1 9.890 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.890 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.890 * [taylor]: Taking taylor expansion of im in re 9.890 * [backup-simplify]: Simplify im into im 9.890 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.890 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.891 * [backup-simplify]: Simplify (+ 1 0) into 1 9.891 * [backup-simplify]: Simplify (sqrt 1) into 1 9.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.892 * [backup-simplify]: Simplify (+ 0 0) into 0 9.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.892 * [backup-simplify]: Simplify (+ 1 1) into 2 9.893 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.893 * [backup-simplify]: Simplify (sqrt 0) into 0 9.894 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 9.894 * [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 9.894 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in im 9.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.894 * [taylor]: Taking taylor expansion of 2.0 in im 9.894 * [backup-simplify]: Simplify 2.0 into 2.0 9.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.895 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 9.895 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 9.895 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 9.895 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.895 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.895 * [taylor]: Taking taylor expansion of re in im 9.895 * [backup-simplify]: Simplify re into re 9.895 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.895 * [taylor]: Taking taylor expansion of re in im 9.895 * [backup-simplify]: Simplify re into re 9.895 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.895 * [taylor]: Taking taylor expansion of im in im 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [backup-simplify]: Simplify (* 1 1) into 1 9.896 * [backup-simplify]: Simplify (/ 1 1) into 1 9.896 * [backup-simplify]: Simplify (+ 0 1) into 1 9.896 * [backup-simplify]: Simplify (sqrt 1) into 1 9.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.897 * [backup-simplify]: Simplify (+ 0 0) into 0 9.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.898 * [backup-simplify]: Simplify (+ 0 1) into 1 9.898 * [backup-simplify]: Simplify (/ 1 1) into 1 9.898 * [backup-simplify]: Simplify (sqrt 0) into 0 9.899 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.899 * [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 9.899 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in im 9.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.899 * [taylor]: Taking taylor expansion of 2.0 in im 9.899 * [backup-simplify]: Simplify 2.0 into 2.0 9.900 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.900 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 9.900 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 9.900 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 9.900 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.900 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.900 * [taylor]: Taking taylor expansion of re in im 9.900 * [backup-simplify]: Simplify re into re 9.900 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.900 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.900 * [taylor]: Taking taylor expansion of re in im 9.900 * [backup-simplify]: Simplify re into re 9.900 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.900 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.900 * [taylor]: Taking taylor expansion of im in im 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.901 * [backup-simplify]: Simplify (* 1 1) into 1 9.901 * [backup-simplify]: Simplify (/ 1 1) into 1 9.901 * [backup-simplify]: Simplify (+ 0 1) into 1 9.901 * [backup-simplify]: Simplify (sqrt 1) into 1 9.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.902 * [backup-simplify]: Simplify (+ 0 0) into 0 9.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.903 * [backup-simplify]: Simplify (+ 0 1) into 1 9.903 * [backup-simplify]: Simplify (/ 1 1) into 1 9.904 * [backup-simplify]: Simplify (sqrt 0) into 0 9.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.905 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.905 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ 1 im))) 0) into 0 9.905 * [taylor]: Taking taylor expansion of 0 in re 9.905 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0 9.906 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) in re 9.906 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re 9.906 * [taylor]: Taking taylor expansion of +nan.0 in re 9.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.906 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re 9.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.906 * [taylor]: Taking taylor expansion of 2.0 in re 9.906 * [backup-simplify]: Simplify 2.0 into 2.0 9.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.907 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 9.907 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.907 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.907 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 9.908 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.908 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 9.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 9.909 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 9.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.910 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 9.911 * [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))))) 9.911 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re))))) in re 9.911 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)))) in re 9.911 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re 9.911 * [taylor]: Taking taylor expansion of +nan.0 in re 9.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.911 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re 9.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.911 * [taylor]: Taking taylor expansion of 2.0 in re 9.911 * [backup-simplify]: Simplify 2.0 into 2.0 9.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.912 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 9.912 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.912 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re))) in re 9.912 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) in re 9.912 * [taylor]: Taking taylor expansion of +nan.0 in re 9.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.912 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) re) in re 9.912 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re 9.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.912 * [taylor]: Taking taylor expansion of 2.0 in re 9.912 * [backup-simplify]: Simplify 2.0 into 2.0 9.913 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.913 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 9.913 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.913 * [taylor]: Taking taylor expansion of re in re 9.913 * [backup-simplify]: Simplify 0 into 0 9.913 * [backup-simplify]: Simplify 1 into 1 9.914 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.914 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.914 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.914 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 9.915 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0 9.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)))) into 0 9.916 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im))))) into 0 9.917 * [backup-simplify]: Simplify (- 0) into 0 9.917 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.918 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.918 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.919 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0 9.920 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im))))) into 0 9.920 * [backup-simplify]: Simplify (- 0) into 0 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.922 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.924 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.925 * [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)))) 9.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.928 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0 9.930 * [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)))))))) 9.930 * [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 9.930 * [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 9.930 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re 9.930 * [taylor]: Taking taylor expansion of +nan.0 in re 9.930 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.930 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re 9.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.930 * [taylor]: Taking taylor expansion of 2.0 in re 9.930 * [backup-simplify]: Simplify 2.0 into 2.0 9.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.930 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 9.931 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.931 * [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 9.931 * [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 9.931 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) in re 9.931 * [taylor]: Taking taylor expansion of +nan.0 in re 9.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.931 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) re) in re 9.931 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re 9.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.931 * [taylor]: Taking taylor expansion of 2.0 in re 9.931 * [backup-simplify]: Simplify 2.0 into 2.0 9.931 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.931 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 9.931 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.931 * [taylor]: Taking taylor expansion of re in re 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify 1 into 1 9.932 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.932 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.932 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)))) in re 9.932 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))) in re 9.932 * [taylor]: Taking taylor expansion of +nan.0 in re 9.932 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.932 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)) in re 9.932 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re 9.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.932 * [taylor]: Taking taylor expansion of 2.0 in re 9.932 * [backup-simplify]: Simplify 2.0 into 2.0 9.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.933 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 9.933 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 9.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.933 * [taylor]: Taking taylor expansion of re in re 9.933 * [backup-simplify]: Simplify 0 into 0 9.933 * [backup-simplify]: Simplify 1 into 1 9.933 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.934 * [backup-simplify]: Simplify (* 1 1) into 1 9.934 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.934 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im))) 9.934 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 9.935 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0 9.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)))) into 0 9.936 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im))))) into 0 9.937 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.937 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 9.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.938 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.941 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into 0 9.941 * [backup-simplify]: Simplify (- 0) into 0 9.942 * [backup-simplify]: Simplify (+ 0 0) into 0 9.942 * [backup-simplify]: Simplify (- 0) into 0 9.942 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.942 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.943 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) 9.944 * [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)))))))) 9.944 * [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))))) 9.945 * [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 9.945 * [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 9.945 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 9.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.945 * [taylor]: Taking taylor expansion of 2.0 in re 9.945 * [backup-simplify]: Simplify 2.0 into 2.0 9.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.945 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 9.945 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 9.945 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 9.945 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.946 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.946 * [taylor]: Taking taylor expansion of re in re 9.946 * [backup-simplify]: Simplify 0 into 0 9.946 * [backup-simplify]: Simplify 1 into 1 9.946 * [backup-simplify]: Simplify (* 1 1) into 1 9.946 * [backup-simplify]: Simplify (/ 1 1) into 1 9.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.946 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.946 * [taylor]: Taking taylor expansion of im in re 9.946 * [backup-simplify]: Simplify im into im 9.946 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.946 * [backup-simplify]: Simplify (+ 1 0) into 1 9.947 * [backup-simplify]: Simplify (sqrt 1) into 1 9.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.948 * [backup-simplify]: Simplify (+ 0 0) into 0 9.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.948 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.948 * [taylor]: Taking taylor expansion of re in re 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 1 into 1 9.948 * [backup-simplify]: Simplify (/ 1 1) into 1 9.949 * [backup-simplify]: Simplify (- 1) into -1 9.949 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.950 * [backup-simplify]: Simplify (- 0) into 0 9.950 * [backup-simplify]: Simplify (+ 0 0) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.951 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.952 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.952 * [backup-simplify]: Simplify (- 0) into 0 9.952 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.953 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 9.953 * [backup-simplify]: Simplify (sqrt 0) into 0 9.953 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 9.953 * [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 9.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 9.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.953 * [taylor]: Taking taylor expansion of 2.0 in im 9.953 * [backup-simplify]: Simplify 2.0 into 2.0 9.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.954 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 9.954 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.954 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.954 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.954 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.954 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.954 * [taylor]: Taking taylor expansion of re in im 9.954 * [backup-simplify]: Simplify re into re 9.954 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.954 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.954 * [taylor]: Taking taylor expansion of im in im 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 1 into 1 9.955 * [backup-simplify]: Simplify (* 1 1) into 1 9.955 * [backup-simplify]: Simplify (/ 1 1) into 1 9.955 * [backup-simplify]: Simplify (+ 0 1) into 1 9.955 * [backup-simplify]: Simplify (sqrt 1) into 1 9.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.956 * [backup-simplify]: Simplify (+ 0 0) into 0 9.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.957 * [taylor]: Taking taylor expansion of re in im 9.957 * [backup-simplify]: Simplify re into re 9.957 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.957 * [backup-simplify]: Simplify (+ 1 0) into 1 9.957 * [backup-simplify]: Simplify (/ 1 1) into 1 9.958 * [backup-simplify]: Simplify (sqrt 0) into 0 9.958 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.958 * [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 9.958 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 9.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.959 * [taylor]: Taking taylor expansion of 2.0 in im 9.959 * [backup-simplify]: Simplify 2.0 into 2.0 9.959 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.959 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 9.959 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.959 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.959 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.959 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.959 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.959 * [taylor]: Taking taylor expansion of re in im 9.959 * [backup-simplify]: Simplify re into re 9.959 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.960 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.960 * [taylor]: Taking taylor expansion of im in im 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [backup-simplify]: Simplify (* 1 1) into 1 9.960 * [backup-simplify]: Simplify (/ 1 1) into 1 9.960 * [backup-simplify]: Simplify (+ 0 1) into 1 9.961 * [backup-simplify]: Simplify (sqrt 1) into 1 9.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.962 * [backup-simplify]: Simplify (+ 0 0) into 0 9.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.963 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.963 * [taylor]: Taking taylor expansion of re in im 9.963 * [backup-simplify]: Simplify re into re 9.963 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.963 * [backup-simplify]: Simplify (+ 1 0) into 1 9.964 * [backup-simplify]: Simplify (/ 1 1) into 1 9.964 * [backup-simplify]: Simplify (sqrt 0) into 0 9.966 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.966 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.966 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 9.967 * [taylor]: Taking taylor expansion of 0 in re 9.967 * [backup-simplify]: Simplify 0 into 0 9.967 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 9.968 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.968 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 9.968 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 9.968 * [taylor]: Taking taylor expansion of +nan.0 in re 9.968 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.968 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 9.968 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.968 * [taylor]: Taking taylor expansion of 2.0 in re 9.968 * [backup-simplify]: Simplify 2.0 into 2.0 9.969 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.969 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 9.969 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 9.970 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 9.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 9.971 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 9.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.973 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 9.974 * [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))))) 9.975 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))))) in re 9.975 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))) in re 9.975 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 9.975 * [taylor]: Taking taylor expansion of +nan.0 in re 9.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.975 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 9.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.975 * [taylor]: Taking taylor expansion of 2.0 in re 9.975 * [backup-simplify]: Simplify 2.0 into 2.0 9.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.976 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 9.976 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.976 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))) in re 9.976 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 9.976 * [taylor]: Taking taylor expansion of +nan.0 in re 9.976 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.976 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 9.976 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 9.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.976 * [taylor]: Taking taylor expansion of 2.0 in re 9.976 * [backup-simplify]: Simplify 2.0 into 2.0 9.977 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.977 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 9.977 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.977 * [taylor]: Taking taylor expansion of re in re 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.978 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.978 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.978 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 9.979 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.979 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.979 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.980 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.980 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.980 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 9.980 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.981 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.981 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.982 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.983 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.983 * [backup-simplify]: Simplify (- 0) into 0 9.983 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 9.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.984 * [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)))) 9.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 9.990 * [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))))))) 9.990 * [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 9.990 * [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 9.990 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 9.990 * [taylor]: Taking taylor expansion of +nan.0 in re 9.990 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.990 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 9.990 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.990 * [taylor]: Taking taylor expansion of 2.0 in re 9.990 * [backup-simplify]: Simplify 2.0 into 2.0 9.990 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.991 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 9.991 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.991 * [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 9.991 * [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 9.991 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 9.991 * [taylor]: Taking taylor expansion of +nan.0 in re 9.991 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.991 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 9.991 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 9.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.991 * [taylor]: Taking taylor expansion of 2.0 in re 9.991 * [backup-simplify]: Simplify 2.0 into 2.0 9.991 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.992 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 9.992 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.992 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.992 * [taylor]: Taking taylor expansion of re in re 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 1 into 1 9.992 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.992 * [backup-simplify]: Simplify (* 1 1) into 1 9.993 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.993 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))) in re 9.993 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 9.993 * [taylor]: Taking taylor expansion of +nan.0 in re 9.993 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.993 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 9.993 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 9.993 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.993 * [taylor]: Taking taylor expansion of 2.0 in re 9.993 * [backup-simplify]: Simplify 2.0 into 2.0 9.993 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.994 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 9.994 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 9.994 * [taylor]: Taking taylor expansion of re in re 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 1 into 1 9.994 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.994 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 9.995 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 9.997 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 9.997 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.998 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.998 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.998 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.999 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 9.999 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 10.000 * [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)))))))) 10.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2) 10.000 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 10.000 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 10.000 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 10.001 * [taylor]: Taking taylor expansion of re in im 10.001 * [backup-simplify]: Simplify re into re 10.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.001 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.001 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.001 * [taylor]: Taking taylor expansion of im in im 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.001 * [taylor]: Taking taylor expansion of re in im 10.001 * [backup-simplify]: Simplify re into re 10.001 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.001 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.001 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.001 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.001 * [backup-simplify]: Simplify (+ 0 0) into 0 10.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.001 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 10.001 * [taylor]: Taking taylor expansion of re in re 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.001 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.001 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.001 * [taylor]: Taking taylor expansion of im in re 10.001 * [backup-simplify]: Simplify im into im 10.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.001 * [taylor]: Taking taylor expansion of re in re 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.001 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.002 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.002 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.002 * [backup-simplify]: Simplify (+ 0 0) into 0 10.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.002 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 10.002 * [taylor]: Taking taylor expansion of re in re 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.002 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.002 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.002 * [taylor]: Taking taylor expansion of im in re 10.002 * [backup-simplify]: Simplify im into im 10.002 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.002 * [taylor]: Taking taylor expansion of re in re 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.002 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.002 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.002 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.003 * [backup-simplify]: Simplify (+ 0 0) into 0 10.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.003 * [backup-simplify]: Simplify (+ 0 im) into im 10.003 * [taylor]: Taking taylor expansion of im in im 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify (+ 1 0) into 1 10.003 * [taylor]: Taking taylor expansion of 1 in im 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.004 * [backup-simplify]: Simplify (* 1 1) into 1 10.004 * [backup-simplify]: Simplify (+ 0 1) into 1 10.004 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.004 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 10.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.004 * [taylor]: Taking taylor expansion of 1/2 in im 10.004 * [backup-simplify]: Simplify 1/2 into 1/2 10.004 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.004 * [taylor]: Taking taylor expansion of im in im 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 1 into 1 10.005 * [backup-simplify]: Simplify (/ 1 1) into 1 10.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.007 * [backup-simplify]: Simplify (+ 0 0) into 0 10.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.007 * [backup-simplify]: Simplify (+ 0 0) into 0 10.007 * [taylor]: Taking taylor expansion of 0 in im 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 10.009 * [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))))) 10.009 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 10.009 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.009 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.009 * [taylor]: Taking taylor expansion of re in im 10.009 * [backup-simplify]: Simplify re into re 10.009 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.009 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.009 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.009 * [taylor]: Taking taylor expansion of re in im 10.009 * [backup-simplify]: Simplify re into re 10.009 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.009 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.009 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.009 * [taylor]: Taking taylor expansion of im in im 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 1 into 1 10.009 * [backup-simplify]: Simplify (* 1 1) into 1 10.010 * [backup-simplify]: Simplify (/ 1 1) into 1 10.010 * [backup-simplify]: Simplify (+ 0 1) into 1 10.010 * [backup-simplify]: Simplify (sqrt 1) into 1 10.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.012 * [backup-simplify]: Simplify (+ 0 0) into 0 10.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.013 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.013 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.013 * [taylor]: Taking taylor expansion of re in re 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (/ 1 1) into 1 10.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.013 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.014 * [taylor]: Taking taylor expansion of re in re 10.014 * [backup-simplify]: Simplify 0 into 0 10.014 * [backup-simplify]: Simplify 1 into 1 10.014 * [backup-simplify]: Simplify (* 1 1) into 1 10.014 * [backup-simplify]: Simplify (/ 1 1) into 1 10.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.014 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.014 * [taylor]: Taking taylor expansion of im in re 10.014 * [backup-simplify]: Simplify im into im 10.015 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.015 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.015 * [backup-simplify]: Simplify (+ 1 0) into 1 10.015 * [backup-simplify]: Simplify (sqrt 1) into 1 10.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.017 * [backup-simplify]: Simplify (+ 0 0) into 0 10.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.018 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.018 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.018 * [taylor]: Taking taylor expansion of re in re 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 1 into 1 10.019 * [backup-simplify]: Simplify (/ 1 1) into 1 10.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.019 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.019 * [taylor]: Taking taylor expansion of re in re 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 1 into 1 10.019 * [backup-simplify]: Simplify (* 1 1) into 1 10.020 * [backup-simplify]: Simplify (/ 1 1) into 1 10.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.020 * [taylor]: Taking taylor expansion of im in re 10.020 * [backup-simplify]: Simplify im into im 10.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.020 * [backup-simplify]: Simplify (+ 1 0) into 1 10.021 * [backup-simplify]: Simplify (sqrt 1) into 1 10.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (+ 0 0) into 0 10.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.025 * [backup-simplify]: Simplify (+ 1 1) into 2 10.025 * [taylor]: Taking taylor expansion of 2 in im 10.025 * [backup-simplify]: Simplify 2 into 2 10.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.026 * [backup-simplify]: Simplify (+ 0 0) into 0 10.026 * [taylor]: Taking taylor expansion of 0 in im 10.026 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify 2 into 2 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.030 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.030 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 10.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.030 * [taylor]: Taking taylor expansion of 1/2 in im 10.030 * [backup-simplify]: Simplify 1/2 into 1/2 10.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.030 * [taylor]: Taking taylor expansion of im in im 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (* 1 1) into 1 10.031 * [backup-simplify]: Simplify (/ 1 1) into 1 10.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.038 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [taylor]: Taking taylor expansion of 0 in im 10.038 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 10.041 * [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)) 10.041 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 10.041 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.041 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.041 * [taylor]: Taking taylor expansion of re in im 10.041 * [backup-simplify]: Simplify re into re 10.041 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.042 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.042 * [taylor]: Taking taylor expansion of im in im 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (* 1 1) into 1 10.042 * [backup-simplify]: Simplify (/ 1 1) into 1 10.043 * [backup-simplify]: Simplify (+ 0 1) into 1 10.043 * [backup-simplify]: Simplify (sqrt 1) into 1 10.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.045 * [backup-simplify]: Simplify (+ 0 0) into 0 10.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.046 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.046 * [taylor]: Taking taylor expansion of re in im 10.046 * [backup-simplify]: Simplify re into re 10.046 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.046 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.046 * [taylor]: Taking taylor expansion of re in re 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [backup-simplify]: Simplify (* 1 1) into 1 10.047 * [backup-simplify]: Simplify (/ 1 1) into 1 10.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.047 * [taylor]: Taking taylor expansion of im in re 10.047 * [backup-simplify]: Simplify im into im 10.048 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.048 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.048 * [backup-simplify]: Simplify (+ 1 0) into 1 10.049 * [backup-simplify]: Simplify (sqrt 1) into 1 10.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.050 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.051 * [taylor]: Taking taylor expansion of re in re 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (/ 1 1) into 1 10.052 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.052 * [taylor]: Taking taylor expansion of re in re 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (* 1 1) into 1 10.053 * [backup-simplify]: Simplify (/ 1 1) into 1 10.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.053 * [taylor]: Taking taylor expansion of im in re 10.053 * [backup-simplify]: Simplify im into im 10.053 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.053 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.053 * [backup-simplify]: Simplify (+ 1 0) into 1 10.054 * [backup-simplify]: Simplify (sqrt 1) into 1 10.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify (+ 0 0) into 0 10.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.056 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.056 * [taylor]: Taking taylor expansion of re in re 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify 1 into 1 10.057 * [backup-simplify]: Simplify (/ 1 1) into 1 10.057 * [backup-simplify]: Simplify (- 1) into -1 10.058 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.058 * [taylor]: Taking taylor expansion of 0 in im 10.058 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.059 * [backup-simplify]: Simplify (- 0) into 0 10.059 * [backup-simplify]: Simplify (+ 0 0) into 0 10.059 * [taylor]: Taking taylor expansion of 0 in im 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify 0 into 0 10.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.062 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (- 0) into 0 10.064 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.064 * [taylor]: Taking taylor expansion of 1/2 in im 10.064 * [backup-simplify]: Simplify 1/2 into 1/2 10.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.064 * [taylor]: Taking taylor expansion of im in im 10.064 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify 1 into 1 10.064 * [backup-simplify]: Simplify (* 1 1) into 1 10.065 * [backup-simplify]: Simplify (/ 1 1) into 1 10.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.070 * [backup-simplify]: Simplify (+ 0 0) into 0 10.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.072 * [backup-simplify]: Simplify (- 0) into 0 10.072 * [backup-simplify]: Simplify (+ 0 0) into 0 10.072 * [taylor]: Taking taylor expansion of 0 in im 10.072 * [backup-simplify]: Simplify 0 into 0 10.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 10.075 * [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))))) 10.075 * [approximate]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0 10.075 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 10.076 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 10.076 * [taylor]: Taking taylor expansion of (fabs im) in re 10.076 * [backup-simplify]: Simplify (fabs im) into (fabs im) 10.076 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 10.076 * [taylor]: Taking taylor expansion of re in re 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 1 into 1 10.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.076 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.076 * [taylor]: Taking taylor expansion of im in re 10.076 * [backup-simplify]: Simplify im into im 10.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.076 * [taylor]: Taking taylor expansion of re in re 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 1 into 1 10.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.076 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.076 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.077 * [backup-simplify]: Simplify (+ 0 0) into 0 10.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.077 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 10.077 * [backup-simplify]: Simplify (+ 0 im) into im 10.077 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) im) into (/ (pow (fabs im) 2) im) 10.077 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 10.077 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im 10.077 * [taylor]: Taking taylor expansion of (fabs im) in im 10.077 * [backup-simplify]: Simplify (fabs im) into (fabs im) 10.077 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 10.077 * [taylor]: Taking taylor expansion of re in im 10.077 * [backup-simplify]: Simplify re into re 10.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.077 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.077 * [taylor]: Taking taylor expansion of im in im 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 1 into 1 10.077 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.077 * [taylor]: Taking taylor expansion of re in im 10.077 * [backup-simplify]: Simplify re into re 10.077 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.077 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.077 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.078 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.078 * [backup-simplify]: Simplify (+ 0 0) into 0 10.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.078 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 10.078 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 10.078 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) (* 2 re)) into (* 1/2 (/ (pow (fabs im) 2) re)) 10.078 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 10.078 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im 10.078 * [taylor]: Taking taylor expansion of (fabs im) in im 10.078 * [backup-simplify]: Simplify (fabs im) into (fabs im) 10.078 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 10.078 * [taylor]: Taking taylor expansion of re in im 10.078 * [backup-simplify]: Simplify re into re 10.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.078 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.078 * [taylor]: Taking taylor expansion of im in im 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 1 into 1 10.078 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.078 * [taylor]: Taking taylor expansion of re in im 10.078 * [backup-simplify]: Simplify re into re 10.078 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.078 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.078 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.078 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.079 * [backup-simplify]: Simplify (+ 0 0) into 0 10.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.079 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 10.079 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 10.079 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) (* 2 re)) into (* 1/2 (/ (pow (fabs im) 2) re)) 10.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs im) 2) re)) in re 10.079 * [taylor]: Taking taylor expansion of 1/2 in re 10.079 * [backup-simplify]: Simplify 1/2 into 1/2 10.079 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) re) in re 10.079 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 10.079 * [taylor]: Taking taylor expansion of (fabs im) in re 10.079 * [backup-simplify]: Simplify (fabs im) into (fabs im) 10.079 * [taylor]: Taking taylor expansion of re in re 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 10.079 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) 1) into (pow (fabs im) 2) 10.079 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0 10.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)))) into 0 10.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (fabs im) 2))) into 0 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0 10.081 * [backup-simplify]: Simplify (+ 0 0) into 0 10.081 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (* 1/2 (/ (pow (fabs im) 2) re)) (/ 0 (* 2 re))))) into 0 10.081 * [taylor]: Taking taylor expansion of 0 in re 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 10.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (fabs im) 2)))) into 0 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 10.083 * [backup-simplify]: Simplify (* 1 1) into 1 10.083 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.084 * [backup-simplify]: Simplify (+ 1 0) into 1 10.084 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 10.084 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 10.084 * [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)))) 10.084 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (pow (fabs im) 2) (pow re 3)))) in re 10.084 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (fabs im) 2) (pow re 3))) in re 10.084 * [taylor]: Taking taylor expansion of 1/8 in re 10.084 * [backup-simplify]: Simplify 1/8 into 1/8 10.084 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (pow re 3)) in re 10.084 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 10.084 * [taylor]: Taking taylor expansion of (fabs im) in re 10.085 * [backup-simplify]: Simplify (fabs im) into (fabs im) 10.085 * [taylor]: Taking taylor expansion of (pow re 3) in re 10.085 * [taylor]: Taking taylor expansion of re in re 10.085 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify 1 into 1 10.085 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 10.085 * [backup-simplify]: Simplify (* 1 1) into 1 10.085 * [backup-simplify]: Simplify (* 1 1) into 1 10.085 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) 1) into (pow (fabs im) 2) 10.086 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs im))))) into 0 10.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.088 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0 10.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)))) into 0 10.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.090 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 10.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fabs im) 2))))) into 0 10.093 * [backup-simplify]: Simplify (- 0) into 0 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs im))))) into 0 10.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fabs im) 2))))) into 0 10.095 * [backup-simplify]: Simplify 0 into 0 10.095 * [backup-simplify]: Simplify 0 into 0 10.095 * [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)))))) 10.095 * [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 10.096 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.096 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 10.096 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.096 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.096 * [taylor]: Taking taylor expansion of re in re 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 1 into 1 10.096 * [backup-simplify]: Simplify (/ 1 1) into 1 10.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.096 * [taylor]: Taking taylor expansion of re in re 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 1 into 1 10.096 * [backup-simplify]: Simplify (* 1 1) into 1 10.096 * [backup-simplify]: Simplify (/ 1 1) into 1 10.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.097 * [taylor]: Taking taylor expansion of im in re 10.097 * [backup-simplify]: Simplify im into im 10.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.097 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.097 * [backup-simplify]: Simplify (+ 1 0) into 1 10.097 * [backup-simplify]: Simplify (sqrt 1) into 1 10.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.098 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.099 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 10.099 * [backup-simplify]: Simplify (+ 1 1) into 2 10.099 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 2) into (* 1/2 (pow (fabs (/ 1 im)) 2)) 10.099 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.099 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im 10.099 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 10.099 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.099 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.099 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.099 * [taylor]: Taking taylor expansion of re in im 10.099 * [backup-simplify]: Simplify re into re 10.099 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.099 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.099 * [taylor]: Taking taylor expansion of re in im 10.099 * [backup-simplify]: Simplify re into re 10.099 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.099 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.099 * [taylor]: Taking taylor expansion of im in im 10.099 * [backup-simplify]: Simplify 0 into 0 10.099 * [backup-simplify]: Simplify 1 into 1 10.100 * [backup-simplify]: Simplify (* 1 1) into 1 10.100 * [backup-simplify]: Simplify (/ 1 1) into 1 10.100 * [backup-simplify]: Simplify (+ 0 1) into 1 10.100 * [backup-simplify]: Simplify (sqrt 1) into 1 10.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.102 * [backup-simplify]: Simplify (+ 0 0) into 0 10.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.102 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 10.103 * [backup-simplify]: Simplify (+ 0 1) into 1 10.103 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 10.103 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.103 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im 10.103 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 10.103 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.103 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.103 * [taylor]: Taking taylor expansion of re in im 10.103 * [backup-simplify]: Simplify re into re 10.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.103 * [taylor]: Taking taylor expansion of re in im 10.103 * [backup-simplify]: Simplify re into re 10.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.103 * [taylor]: Taking taylor expansion of im in im 10.103 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify 1 into 1 10.103 * [backup-simplify]: Simplify (* 1 1) into 1 10.104 * [backup-simplify]: Simplify (/ 1 1) into 1 10.109 * [backup-simplify]: Simplify (+ 0 1) into 1 10.110 * [backup-simplify]: Simplify (sqrt 1) into 1 10.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.112 * [backup-simplify]: Simplify (+ 0 0) into 0 10.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.113 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 10.114 * [backup-simplify]: Simplify (+ 0 1) into 1 10.114 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 10.114 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 10.114 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.114 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.114 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 10.114 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 10.115 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 10.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ (/ 1 re) 1)))) into (- (/ (pow (fabs (/ 1 im)) 2) re)) 10.115 * [taylor]: Taking taylor expansion of (- (/ (pow (fabs (/ 1 im)) 2) re)) in re 10.115 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) re) in re 10.115 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 10.116 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.116 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.116 * [taylor]: Taking taylor expansion of re in re 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 1 into 1 10.116 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 10.116 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 10.117 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 10.117 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 10.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)))) into 0 10.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (- 0) into 0 10.120 * [backup-simplify]: Simplify 0 into 0 10.120 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 10.120 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 10.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.123 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.124 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.124 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 10.126 * [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))) 10.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ 1 im)) 2) (pow re 2))) in re 10.126 * [taylor]: Taking taylor expansion of 1/2 in re 10.126 * [backup-simplify]: Simplify 1/2 into 1/2 10.126 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (pow re 2)) in re 10.126 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 10.126 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 10.126 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 10.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.126 * [taylor]: Taking taylor expansion of re in re 10.126 * [backup-simplify]: Simplify 0 into 0 10.126 * [backup-simplify]: Simplify 1 into 1 10.126 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 10.127 * [backup-simplify]: Simplify (* 1 1) into 1 10.127 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 10.128 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0 10.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.129 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 10.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)))) into 0 10.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.132 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 10.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fabs (/ 1 im)) 2))))) into 0 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0 10.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.140 * [backup-simplify]: Simplify (- 0) into 0 10.140 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [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))) 10.141 * [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 10.141 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 10.141 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 10.141 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.141 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.142 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.142 * [taylor]: Taking taylor expansion of re in re 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify 1 into 1 10.142 * [backup-simplify]: Simplify (* 1 1) into 1 10.142 * [backup-simplify]: Simplify (/ 1 1) into 1 10.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.143 * [taylor]: Taking taylor expansion of im in re 10.143 * [backup-simplify]: Simplify im into im 10.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.143 * [backup-simplify]: Simplify (+ 1 0) into 1 10.144 * [backup-simplify]: Simplify (sqrt 1) into 1 10.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.145 * [backup-simplify]: Simplify (+ 0 0) into 0 10.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.146 * [taylor]: Taking taylor expansion of re in re 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 1 into 1 10.147 * [backup-simplify]: Simplify (/ 1 1) into 1 10.147 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 10.147 * [backup-simplify]: Simplify (- 1) into -1 10.147 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.149 * [backup-simplify]: Simplify (- 0) into 0 10.149 * [backup-simplify]: Simplify (+ 0 0) into 0 10.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.152 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.153 * [backup-simplify]: Simplify (- 0) into 0 10.154 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.154 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) (* 1/2 (/ 1 (pow im 2)))) into (* 2 (* (pow im 2) (pow (fabs (/ -1 im)) 2))) 10.154 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 10.154 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im 10.154 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 10.154 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.154 * [taylor]: Taking taylor expansion of re in im 10.154 * [backup-simplify]: Simplify re into re 10.154 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.154 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.154 * [taylor]: Taking taylor expansion of im in im 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.155 * [backup-simplify]: Simplify (* 1 1) into 1 10.155 * [backup-simplify]: Simplify (/ 1 1) into 1 10.156 * [backup-simplify]: Simplify (+ 0 1) into 1 10.156 * [backup-simplify]: Simplify (sqrt 1) into 1 10.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.158 * [backup-simplify]: Simplify (+ 0 0) into 0 10.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.159 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.159 * [taylor]: Taking taylor expansion of re in im 10.159 * [backup-simplify]: Simplify re into re 10.159 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.159 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 10.159 * [backup-simplify]: Simplify (+ 1 0) into 1 10.159 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 10.159 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 10.159 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im 10.159 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 10.160 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.160 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.160 * [taylor]: Taking taylor expansion of re in im 10.160 * [backup-simplify]: Simplify re into re 10.160 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.160 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.160 * [taylor]: Taking taylor expansion of im in im 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 1 into 1 10.160 * [backup-simplify]: Simplify (* 1 1) into 1 10.161 * [backup-simplify]: Simplify (/ 1 1) into 1 10.161 * [backup-simplify]: Simplify (+ 0 1) into 1 10.162 * [backup-simplify]: Simplify (sqrt 1) into 1 10.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (+ 0 0) into 0 10.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.164 * [taylor]: Taking taylor expansion of re in im 10.164 * [backup-simplify]: Simplify re into re 10.164 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.165 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 10.165 * [backup-simplify]: Simplify (+ 1 0) into 1 10.165 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 10.165 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 10.165 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.165 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.166 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 10.166 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 10.166 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 10.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ (- (/ 1 re)) 1)))) into (/ (pow (fabs (/ -1 im)) 2) re) 10.167 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) re) in re 10.167 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 10.167 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.167 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.167 * [taylor]: Taking taylor expansion of re in re 10.167 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify 1 into 1 10.167 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 10.167 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 10.167 * [backup-simplify]: Simplify (pow (fabs (/ -1 im)) 2) into (pow (fabs (/ -1 im)) 2) 10.167 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 10.168 * [backup-simplify]: Simplify (pow (fabs (/ -1 im)) 2) into (pow (fabs (/ -1 im)) 2) 10.168 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 10.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.170 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.172 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.172 * [backup-simplify]: Simplify (- 0) into 0 10.172 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 10.173 * [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))) 10.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ -1 im)) 2) (pow re 2))) in re 10.174 * [taylor]: Taking taylor expansion of 1/2 in re 10.174 * [backup-simplify]: Simplify 1/2 into 1/2 10.174 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (pow re 2)) in re 10.174 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 10.174 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 10.174 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 10.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.174 * [taylor]: Taking taylor expansion of re in re 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 10.174 * [backup-simplify]: Simplify (* 1 1) into 1 10.174 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 10.175 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 10.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)))) into 0 10.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (fabs (/ -1 im)) 2))) into 0 10.177 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 10.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)))) into 0 10.178 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 10.178 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 10.179 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 10.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ 0 0) into 0 10.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 10.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 10.183 * [backup-simplify]: Simplify (- 0) into 0 10.183 * [backup-simplify]: Simplify (+ 0 0) into 0 10.185 * [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 10.185 * [taylor]: Taking taylor expansion of 0 in re 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 10.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (fabs (/ -1 im)) 2)))) into 0 10.189 * [backup-simplify]: Simplify 0 into 0 10.189 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 10.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.191 * [backup-simplify]: Simplify 0 into 0 10.191 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 10.191 * [backup-simplify]: Simplify 0 into 0 10.192 * [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)))) 10.192 * * * [progress]: simplifying candidates 10.192 * * * * [progress]: [ 1 / 93 ] simplifiying candidate # 10.192 * * * * [progress]: [ 2 / 93 ] simplifiying candidate # 10.192 * * * * [progress]: [ 3 / 93 ] simplifiying candidate # 10.192 * * * * [progress]: [ 4 / 93 ] simplifiying candidate # 10.192 * * * * [progress]: [ 5 / 93 ] simplifiying candidate # 10.192 * * * * [progress]: [ 6 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 7 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 8 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 9 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 10 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 11 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 12 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 13 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 14 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 15 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 16 / 93 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))> 10.193 * * * * [progress]: [ 17 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 18 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 19 / 93 ] simplifiying candidate # 10.193 * * * * [progress]: [ 20 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 21 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 22 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 23 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 24 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 25 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 26 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 27 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 28 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 29 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 30 / 93 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 10.194 * * * * [progress]: [ 31 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 32 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 33 / 93 ] simplifiying candidate # 10.194 * * * * [progress]: [ 34 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 35 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 36 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 37 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 38 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 39 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 40 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 41 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 42 / 93 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 10.195 * * * * [progress]: [ 43 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 44 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 45 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 46 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 47 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 48 / 93 ] simplifiying candidate # 10.195 * * * * [progress]: [ 49 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 50 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 51 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 52 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 53 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 54 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 55 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 56 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 57 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 58 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 59 / 93 ] simplifiying candidate # 10.196 * * * * [progress]: [ 60 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 61 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 62 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 63 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 64 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 65 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 66 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 67 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 68 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 69 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 70 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 71 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 72 / 93 ] simplifiying candidate # 10.197 * * * * [progress]: [ 73 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 74 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 75 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 76 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 77 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 78 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 79 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 80 / 93 ] simplifiying candidate #real (real->posit16 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 10.198 * * * * [progress]: [ 81 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 82 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 83 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 84 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 85 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 86 / 93 ] simplifiying candidate # 10.198 * * * * [progress]: [ 87 / 93 ] simplifiying candidate # 10.199 * * * * [progress]: [ 88 / 93 ] simplifiying candidate # 10.199 * * * * [progress]: [ 89 / 93 ] simplifiying candidate # 10.199 * * * * [progress]: [ 90 / 93 ] simplifiying candidate # 10.199 * * * * [progress]: [ 91 / 93 ] simplifiying candidate # 10.199 * * * * [progress]: [ 92 / 93 ] simplifiying candidate # 10.199 * * * * [progress]: [ 93 / 93 ] simplifiying candidate # 10.200 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 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)))))) (real->posit16 (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) (real->posit16 (+ (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)) (real->posit16 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) 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)))) 10.204 * * [simplify]: iteration 0: 183 enodes 10.263 * * [simplify]: iteration 1: 485 enodes 10.485 * * [simplify]: iteration 2: 1667 enodes 10.852 * * [simplify]: iteration 3: 2024 enodes 11.251 * * [simplify]: iteration complete: 2024 enodes 11.251 * * [simplify]: Extracting #0: cost 72 inf + 0 11.252 * * [simplify]: Extracting #1: cost 282 inf + 87 11.254 * * [simplify]: Extracting #2: cost 394 inf + 4973 11.257 * * [simplify]: Extracting #3: cost 504 inf + 17331 11.266 * * [simplify]: Extracting #4: cost 453 inf + 46341 11.307 * * [simplify]: Extracting #5: cost 128 inf + 135185 11.370 * * [simplify]: Extracting #6: cost 6 inf + 174561 11.436 * * [simplify]: Extracting #7: cost 0 inf + 176978 11.506 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* 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)))) (real->posit16 (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))))) (* (* (* 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))))) (real->posit16 (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) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)) (+ (* im im) (- (* re re) (* re re))) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (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 (+ (* re re) (* im im))) re))) (sqrt (fabs im))) (* (sqrt (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))) (/ (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)) (* (/ (cbrt (fabs im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (/ (cbrt (fabs im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im))) (/ (* (fabs im) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (fabs im) (cbrt (fabs im))) (cbrt (fabs im))) (* (* (fabs im) (cbrt (fabs im))) (cbrt (fabs im))) (* (/ (fabs im) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im)) (* (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) (fabs im)) (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))) (/ (* (fabs im) (fabs im)) (+ (* im im) (- (* re re) (* re re)))) (/ (* (cbrt (fabs im)) (fabs im)) (+ (sqrt (+ (* re re) (* im im))) re)) (* (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (fabs im)) (real->posit16 (* (fabs im) (/ (fabs im) (+ (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (+ (* (/ (* (sqrt 2.0) (* (* im im) (fabs im))) (sqrt 1/2)) (- +nan.0)) (* (* +nan.0 (sqrt 2.0)) (- (* (* (sqrt 1/2) re) (fabs im)) (* (fabs im) (sqrt 1/2))))) (- (+ (- (/ (* +nan.0 (sqrt 2.0)) (/ im (fabs im))) (/ (/ (* +nan.0 (sqrt 2.0)) (/ im (fabs im))) im)) (* +nan.0 (/ (sqrt 2.0) (/ (* (* im im) im) (fabs im)))))) (+ (- (* (/ +nan.0 im) (* (/ (sqrt 2.0) (* im im)) (* re (fabs im))))) (* +nan.0 (- (* (/ (sqrt 2.0) im) (fabs im)) (* (/ (sqrt 2.0) (* im im)) (* re (fabs im)))))) (+ re im) (* re 2) 0 0 0 (+ (/ (- (* (fabs im) (fabs im))) (/ (* im im) re)) (/ (- (* (fabs im) (fabs im))) im)) 11.522 * * * [progress]: adding candidates to table 12.654 * [progress]: [Phase 3 of 3] Extracting. 12.655 * * [regime]: Finding splitpoints for: (# # # # # # #) 12.658 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 12.658 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 12.718 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 12.775 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # #) 12.842 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # #) 12.889 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # #) 12.941 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # #) 13.004 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 13.131 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 13.203 * * * [regime]: Found split indices: #