0.559 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.147 * * * [progress]: [2/2] Setting up program. 0.152 * [progress]: [Phase 2 of 3] Improving. 0.155 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.155 * * [simplify]: iteration 0: 6 enodes 0.160 * * [simplify]: iteration 1: 13 enodes 0.162 * * [simplify]: iteration 2: 16 enodes 0.165 * * [simplify]: iteration 3: 20 enodes 0.168 * * [simplify]: iteration 4: 24 enodes 0.171 * * [simplify]: iteration 5: 29 enodes 0.176 * * [simplify]: iteration 6: 31 enodes 0.183 * * [simplify]: iteration complete: 31 enodes 0.184 * * [simplify]: Extracting #0: cost 1 inf + 0 0.184 * * [simplify]: Extracting #1: cost 9 inf + 0 0.184 * * [simplify]: Extracting #2: cost 14 inf + 0 0.185 * * [simplify]: Extracting #3: cost 11 inf + 43 0.185 * * [simplify]: Extracting #4: cost 2 inf + 860 0.186 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.186 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.189 * * [progress]: iteration 1 / 4 0.189 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.827 * * * [progress]: generating rewritten candidates 0.827 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.892 * * * [progress]: generating series expansions 0.892 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.899 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.900 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.901 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.901 * [taylor]: Taking taylor expansion of -1 in n 0.901 * [backup-simplify]: Simplify -1 into -1 0.901 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.901 * [taylor]: Taking taylor expansion of (+ n f) in n 0.901 * [taylor]: Taking taylor expansion of n in n 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [taylor]: Taking taylor expansion of f in n 0.901 * [backup-simplify]: Simplify f into f 0.902 * [taylor]: Taking taylor expansion of (- f n) in n 0.902 * [taylor]: Taking taylor expansion of f in n 0.902 * [backup-simplify]: Simplify f into f 0.902 * [taylor]: Taking taylor expansion of n in n 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (+ 0 f) into f 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify (+ f 0) into f 0.903 * [backup-simplify]: Simplify (/ f f) into 1 0.903 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.903 * [taylor]: Taking taylor expansion of -1 in f 0.903 * [backup-simplify]: Simplify -1 into -1 0.903 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.903 * [taylor]: Taking taylor expansion of (+ n f) in f 0.903 * [taylor]: Taking taylor expansion of n in f 0.903 * [backup-simplify]: Simplify n into n 0.904 * [taylor]: Taking taylor expansion of f in f 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of (- f n) in f 0.904 * [taylor]: Taking taylor expansion of f in f 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of n in f 0.904 * [backup-simplify]: Simplify n into n 0.904 * [backup-simplify]: Simplify (+ n 0) into n 0.904 * [backup-simplify]: Simplify (- n) into (- n) 0.904 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.904 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.904 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.904 * [taylor]: Taking taylor expansion of -1 in f 0.904 * [backup-simplify]: Simplify -1 into -1 0.904 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.904 * [taylor]: Taking taylor expansion of (+ n f) in f 0.904 * [taylor]: Taking taylor expansion of n in f 0.904 * [backup-simplify]: Simplify n into n 0.904 * [taylor]: Taking taylor expansion of f in f 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of (- f n) in f 0.904 * [taylor]: Taking taylor expansion of f in f 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of n in f 0.905 * [backup-simplify]: Simplify n into n 0.905 * [backup-simplify]: Simplify (+ n 0) into n 0.905 * [backup-simplify]: Simplify (- n) into (- n) 0.905 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.905 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.908 * [backup-simplify]: Simplify (* -1 -1) into 1 0.908 * [taylor]: Taking taylor expansion of 1 in n 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (+ 0 1) into 1 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify (+ 1 0) into 1 0.911 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.912 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.912 * [taylor]: Taking taylor expansion of 2 in n 0.912 * [backup-simplify]: Simplify 2 into 2 0.912 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.912 * [taylor]: Taking taylor expansion of n in n 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.918 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.918 * [taylor]: Taking taylor expansion of 2 in n 0.918 * [backup-simplify]: Simplify 2 into 2 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.918 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.918 * [taylor]: Taking taylor expansion of n in n 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.930 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.930 * [taylor]: Taking taylor expansion of 2 in n 0.930 * [backup-simplify]: Simplify 2 into 2 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.930 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.930 * [taylor]: Taking taylor expansion of n in n 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.932 * [backup-simplify]: Simplify (* 1 1) into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.942 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.942 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.942 * [taylor]: Taking taylor expansion of -1 in n 0.942 * [backup-simplify]: Simplify -1 into -1 0.942 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.942 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.942 * [taylor]: Taking taylor expansion of f in n 0.942 * [backup-simplify]: Simplify f into f 0.942 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.942 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.942 * [taylor]: Taking taylor expansion of n in n 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.943 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.943 * [taylor]: Taking taylor expansion of f in n 0.943 * [backup-simplify]: Simplify f into f 0.943 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.943 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.943 * [taylor]: Taking taylor expansion of n in n 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [backup-simplify]: Simplify (+ 0 1) into 1 0.945 * [backup-simplify]: Simplify (- 1) into -1 0.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.946 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.946 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.946 * [taylor]: Taking taylor expansion of -1 in f 0.946 * [backup-simplify]: Simplify -1 into -1 0.946 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.946 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.946 * [taylor]: Taking taylor expansion of f in f 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.947 * [taylor]: Taking taylor expansion of n in f 0.947 * [backup-simplify]: Simplify n into n 0.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.947 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.947 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.947 * [taylor]: Taking taylor expansion of f in f 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (/ 1 1) into 1 0.947 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.947 * [taylor]: Taking taylor expansion of n in f 0.947 * [backup-simplify]: Simplify n into n 0.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.948 * [backup-simplify]: Simplify (+ 1 0) into 1 0.948 * [backup-simplify]: Simplify (+ 1 0) into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.949 * [taylor]: Taking taylor expansion of -1 in f 0.949 * [backup-simplify]: Simplify -1 into -1 0.949 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.949 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.949 * [taylor]: Taking taylor expansion of f in f 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ 1 1) into 1 0.950 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.950 * [taylor]: Taking taylor expansion of n in f 0.950 * [backup-simplify]: Simplify n into n 0.950 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.950 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.950 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.950 * [taylor]: Taking taylor expansion of f in f 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 0.950 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.950 * [taylor]: Taking taylor expansion of n in f 0.950 * [backup-simplify]: Simplify n into n 0.950 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.951 * [backup-simplify]: Simplify (+ 1 0) into 1 0.951 * [backup-simplify]: Simplify (+ 1 0) into 1 0.952 * [backup-simplify]: Simplify (/ 1 1) into 1 0.952 * [backup-simplify]: Simplify (* -1 1) into -1 0.952 * [taylor]: Taking taylor expansion of -1 in n 0.952 * [backup-simplify]: Simplify -1 into -1 0.952 * [backup-simplify]: Simplify -1 into -1 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.954 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.955 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.955 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.955 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.955 * [taylor]: Taking taylor expansion of 2 in n 0.955 * [backup-simplify]: Simplify 2 into 2 0.955 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.955 * [taylor]: Taking taylor expansion of n in n 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.958 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.961 * [backup-simplify]: Simplify (- 0) into 0 0.962 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.964 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.964 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.964 * [taylor]: Taking taylor expansion of 2 in n 0.964 * [backup-simplify]: Simplify 2 into 2 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.964 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.964 * [taylor]: Taking taylor expansion of n in n 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (* 1 1) into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.980 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.986 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.988 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.988 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.988 * [taylor]: Taking taylor expansion of 2 in n 0.989 * [backup-simplify]: Simplify 2 into 2 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.989 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.989 * [taylor]: Taking taylor expansion of n in n 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 (/ 1 1) into 1 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (- 0) into 0 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify -1 into -1 0.999 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.999 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.999 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.999 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.999 * [taylor]: Taking taylor expansion of f in n 0.999 * [backup-simplify]: Simplify f into f 0.999 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.999 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.999 * [taylor]: Taking taylor expansion of n in n 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 0.999 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.000 * [taylor]: Taking taylor expansion of n in n 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.000 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.000 * [taylor]: Taking taylor expansion of f in n 1.000 * [backup-simplify]: Simplify f into f 1.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.000 * [backup-simplify]: Simplify (+ 0 1) into 1 1.001 * [backup-simplify]: Simplify (+ 1 0) into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.001 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.001 * [taylor]: Taking taylor expansion of f in f 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.002 * [taylor]: Taking taylor expansion of n in f 1.002 * [backup-simplify]: Simplify n into n 1.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.002 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.002 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.002 * [taylor]: Taking taylor expansion of n in f 1.002 * [backup-simplify]: Simplify n into n 1.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.002 * [taylor]: Taking taylor expansion of f in f 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [backup-simplify]: Simplify (+ 1 0) into 1 1.003 * [backup-simplify]: Simplify (- 1) into -1 1.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.004 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.004 * [taylor]: Taking taylor expansion of f in f 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.005 * [taylor]: Taking taylor expansion of n in f 1.005 * [backup-simplify]: Simplify n into n 1.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.005 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.005 * [taylor]: Taking taylor expansion of n in f 1.005 * [backup-simplify]: Simplify n into n 1.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.005 * [taylor]: Taking taylor expansion of f in f 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.006 * [backup-simplify]: Simplify (+ 1 0) into 1 1.006 * [backup-simplify]: Simplify (- 1) into -1 1.006 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.007 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.007 * [taylor]: Taking taylor expansion of -1 in n 1.007 * [backup-simplify]: Simplify -1 into -1 1.007 * [backup-simplify]: Simplify -1 into -1 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (- 0) into 0 1.009 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.009 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.010 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.010 * [taylor]: Taking taylor expansion of 2 in n 1.010 * [backup-simplify]: Simplify 2 into 2 1.010 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.010 * [taylor]: Taking taylor expansion of n in n 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.015 * [backup-simplify]: Simplify (- 0) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.017 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.017 * [taylor]: Taking taylor expansion of 2 in n 1.017 * [backup-simplify]: Simplify 2 into 2 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.017 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.017 * [taylor]: Taking taylor expansion of n in n 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (- 0) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.030 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.030 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.030 * [taylor]: Taking taylor expansion of 2 in n 1.030 * [backup-simplify]: Simplify 2 into 2 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.030 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.030 * [taylor]: Taking taylor expansion of n in n 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (* 1 1) into 1 1.031 * [backup-simplify]: Simplify (* 1 1) into 1 1.031 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (- 0) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify -1 into -1 1.041 * * * [progress]: simplifying candidates 1.045 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 1.048 * * [simplify]: iteration 0: 135 enodes 1.105 * * [simplify]: iteration 1: 316 enodes 1.229 * * [simplify]: iteration 2: 708 enodes 1.543 * * [simplify]: iteration 3: 2249 enodes 2.968 * * [simplify]: iteration complete: 5005 enodes 2.968 * * [simplify]: Extracting #0: cost 88 inf + 0 2.970 * * [simplify]: Extracting #1: cost 479 inf + 3 2.978 * * [simplify]: Extracting #2: cost 829 inf + 8175 3.013 * * [simplify]: Extracting #3: cost 779 inf + 76041 3.052 * * [simplify]: Extracting #4: cost 260 inf + 196234 3.126 * * [simplify]: Extracting #5: cost 91 inf + 238474 3.193 * * [simplify]: Extracting #6: cost 8 inf + 251008 3.275 * * [simplify]: Extracting #7: cost 0 inf + 253031 3.348 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (/ (- (sqrt (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (cbrt (+ n f)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ n f)))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (/ (+ n f) (cbrt (- f n)))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (- (/ 1 (- f n))) (* (- f n) (fma n n (* f (- f n)))) (* (- f n) (- f n)) 1 -1 -1 3.354 * * * [progress]: adding candidates to table 3.753 * * [progress]: iteration 2 / 4 3.753 * * * [progress]: picking best candidate 3.759 * * * * [pick]: Picked # 3.760 * * * [progress]: localizing error 3.772 * * * [progress]: generating rewritten candidates 3.772 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.802 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.841 * * * [progress]: generating series expansions 3.841 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.841 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.841 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.841 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.841 * [taylor]: Taking taylor expansion of (- f n) in n 3.841 * [taylor]: Taking taylor expansion of f in n 3.841 * [backup-simplify]: Simplify f into f 3.841 * [taylor]: Taking taylor expansion of n in n 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [taylor]: Taking taylor expansion of (+ n f) in n 3.841 * [taylor]: Taking taylor expansion of n in n 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [taylor]: Taking taylor expansion of f in n 3.841 * [backup-simplify]: Simplify f into f 3.842 * [backup-simplify]: Simplify (- 0) into 0 3.842 * [backup-simplify]: Simplify (+ f 0) into f 3.842 * [backup-simplify]: Simplify (+ 0 f) into f 3.842 * [backup-simplify]: Simplify (/ f f) into 1 3.842 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.842 * [taylor]: Taking taylor expansion of (- f n) in f 3.842 * [taylor]: Taking taylor expansion of f in f 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of n in f 3.842 * [backup-simplify]: Simplify n into n 3.842 * [taylor]: Taking taylor expansion of (+ n f) in f 3.842 * [taylor]: Taking taylor expansion of n in f 3.842 * [backup-simplify]: Simplify n into n 3.842 * [taylor]: Taking taylor expansion of f in f 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (- n) into (- n) 3.842 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.842 * [backup-simplify]: Simplify (+ n 0) into n 3.842 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.842 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.842 * [taylor]: Taking taylor expansion of (- f n) in f 3.842 * [taylor]: Taking taylor expansion of f in f 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of n in f 3.842 * [backup-simplify]: Simplify n into n 3.842 * [taylor]: Taking taylor expansion of (+ n f) in f 3.842 * [taylor]: Taking taylor expansion of n in f 3.842 * [backup-simplify]: Simplify n into n 3.842 * [taylor]: Taking taylor expansion of f in f 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (- n) into (- n) 3.843 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.843 * [backup-simplify]: Simplify (+ n 0) into n 3.843 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.843 * [taylor]: Taking taylor expansion of -1 in n 3.843 * [backup-simplify]: Simplify -1 into -1 3.843 * [backup-simplify]: Simplify -1 into -1 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.843 * [backup-simplify]: Simplify (+ 1 0) into 1 3.844 * [backup-simplify]: Simplify (+ 0 1) into 1 3.844 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.844 * [taylor]: Taking taylor expansion of 2 in n 3.844 * [backup-simplify]: Simplify 2 into 2 3.844 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.844 * [taylor]: Taking taylor expansion of n in n 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (/ 1 1) into 1 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (- 0) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.846 * [backup-simplify]: Simplify (+ 0 0) into 0 3.846 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.846 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.846 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.846 * [taylor]: Taking taylor expansion of 2 in n 3.846 * [backup-simplify]: Simplify 2 into 2 3.846 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.846 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.846 * [taylor]: Taking taylor expansion of n in n 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (* 1 1) into 1 3.846 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.849 * [backup-simplify]: Simplify (- 0) into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 3.852 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.852 * [taylor]: Taking taylor expansion of 2 in n 3.852 * [backup-simplify]: Simplify 2 into 2 3.852 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.852 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.852 * [taylor]: Taking taylor expansion of n in n 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (* 1 1) into 1 3.852 * [backup-simplify]: Simplify (* 1 1) into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify -1 into -1 3.858 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.858 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.858 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.858 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.858 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.858 * [taylor]: Taking taylor expansion of f in n 3.858 * [backup-simplify]: Simplify f into f 3.858 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.858 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.858 * [taylor]: Taking taylor expansion of n in n 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (/ 1 1) into 1 3.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.859 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.859 * [taylor]: Taking taylor expansion of f in n 3.859 * [backup-simplify]: Simplify f into f 3.859 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.859 * [taylor]: Taking taylor expansion of n in n 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (/ 1 1) into 1 3.859 * [backup-simplify]: Simplify (- 1) into -1 3.860 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.860 * [backup-simplify]: Simplify (+ 0 1) into 1 3.860 * [backup-simplify]: Simplify (/ -1 1) into -1 3.860 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.860 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.860 * [taylor]: Taking taylor expansion of f in f 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (/ 1 1) into 1 3.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.860 * [taylor]: Taking taylor expansion of n in f 3.861 * [backup-simplify]: Simplify n into n 3.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.861 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.861 * [taylor]: Taking taylor expansion of f in f 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (/ 1 1) into 1 3.861 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.861 * [taylor]: Taking taylor expansion of n in f 3.861 * [backup-simplify]: Simplify n into n 3.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.861 * [backup-simplify]: Simplify (+ 1 0) into 1 3.862 * [backup-simplify]: Simplify (+ 1 0) into 1 3.862 * [backup-simplify]: Simplify (/ 1 1) into 1 3.862 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.862 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.862 * [taylor]: Taking taylor expansion of f in f 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (/ 1 1) into 1 3.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.862 * [taylor]: Taking taylor expansion of n in f 3.862 * [backup-simplify]: Simplify n into n 3.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.862 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.862 * [taylor]: Taking taylor expansion of f in f 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (/ 1 1) into 1 3.863 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.863 * [taylor]: Taking taylor expansion of n in f 3.863 * [backup-simplify]: Simplify n into n 3.863 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.863 * [backup-simplify]: Simplify (+ 1 0) into 1 3.864 * [backup-simplify]: Simplify (+ 1 0) into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.864 * [taylor]: Taking taylor expansion of 1 in n 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.865 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.866 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.866 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.866 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.866 * [taylor]: Taking taylor expansion of 2 in n 3.867 * [backup-simplify]: Simplify 2 into 2 3.867 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.867 * [taylor]: Taking taylor expansion of n in n 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (- 0) into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.870 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.873 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.873 * [taylor]: Taking taylor expansion of 2 in n 3.873 * [backup-simplify]: Simplify 2 into 2 3.873 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.874 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.874 * [taylor]: Taking taylor expansion of n in n 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (* 1 1) into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.881 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.883 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.887 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.887 * [taylor]: Taking taylor expansion of 2 in n 3.887 * [backup-simplify]: Simplify 2 into 2 3.887 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.887 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.887 * [taylor]: Taking taylor expansion of n in n 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (* 1 1) into 1 3.887 * [backup-simplify]: Simplify (* 1 1) into 1 3.888 * [backup-simplify]: Simplify (/ 1 1) into 1 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (- 0) into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.898 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.898 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.898 * [taylor]: Taking taylor expansion of -1 in n 3.898 * [backup-simplify]: Simplify -1 into -1 3.898 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.898 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.898 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.898 * [taylor]: Taking taylor expansion of n in n 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (/ 1 1) into 1 3.899 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.899 * [taylor]: Taking taylor expansion of f in n 3.899 * [backup-simplify]: Simplify f into f 3.899 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.899 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.899 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.899 * [taylor]: Taking taylor expansion of f in n 3.899 * [backup-simplify]: Simplify f into f 3.899 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.899 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.899 * [taylor]: Taking taylor expansion of n in n 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (/ 1 1) into 1 3.900 * [backup-simplify]: Simplify (+ 1 0) into 1 3.900 * [backup-simplify]: Simplify (+ 0 1) into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.901 * [taylor]: Taking taylor expansion of -1 in f 3.901 * [backup-simplify]: Simplify -1 into -1 3.901 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.901 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.901 * [taylor]: Taking taylor expansion of n in f 3.901 * [backup-simplify]: Simplify n into n 3.901 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.901 * [taylor]: Taking taylor expansion of f in f 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.901 * [taylor]: Taking taylor expansion of f in f 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 1 into 1 3.902 * [backup-simplify]: Simplify (/ 1 1) into 1 3.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.902 * [taylor]: Taking taylor expansion of n in f 3.902 * [backup-simplify]: Simplify n into n 3.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.903 * [backup-simplify]: Simplify (- 1) into -1 3.903 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.903 * [backup-simplify]: Simplify (+ 1 0) into 1 3.904 * [backup-simplify]: Simplify (/ -1 1) into -1 3.904 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.904 * [taylor]: Taking taylor expansion of -1 in f 3.904 * [backup-simplify]: Simplify -1 into -1 3.904 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.904 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.904 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.904 * [taylor]: Taking taylor expansion of n in f 3.904 * [backup-simplify]: Simplify n into n 3.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.904 * [taylor]: Taking taylor expansion of f in f 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (/ 1 1) into 1 3.905 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.905 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.905 * [taylor]: Taking taylor expansion of f in f 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (/ 1 1) into 1 3.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.905 * [taylor]: Taking taylor expansion of n in f 3.905 * [backup-simplify]: Simplify n into n 3.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.906 * [backup-simplify]: Simplify (- 1) into -1 3.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.907 * [backup-simplify]: Simplify (+ 1 0) into 1 3.907 * [backup-simplify]: Simplify (/ -1 1) into -1 3.908 * [backup-simplify]: Simplify (* -1 -1) into 1 3.908 * [taylor]: Taking taylor expansion of 1 in n 3.908 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- 0) into 0 3.910 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.911 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.911 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.911 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.911 * [taylor]: Taking taylor expansion of 2 in n 3.911 * [backup-simplify]: Simplify 2 into 2 3.911 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.911 * [taylor]: Taking taylor expansion of n in n 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.914 * [backup-simplify]: Simplify (- 0) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (- 0) into 0 3.916 * [backup-simplify]: Simplify (+ 0 0) into 0 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.917 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.919 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.919 * [taylor]: Taking taylor expansion of 2 in n 3.919 * [backup-simplify]: Simplify 2 into 2 3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.919 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.919 * [taylor]: Taking taylor expansion of n in n 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (* 1 1) into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.926 * [backup-simplify]: Simplify (- 0) into 0 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.930 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 3.933 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.933 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.933 * [taylor]: Taking taylor expansion of 2 in n 3.933 * [backup-simplify]: Simplify 2 into 2 3.933 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.933 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.933 * [taylor]: Taking taylor expansion of n in n 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (* 1 1) into 1 3.934 * [backup-simplify]: Simplify (* 1 1) into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.944 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.944 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.944 * [taylor]: Taking taylor expansion of -1 in n 3.944 * [backup-simplify]: Simplify -1 into -1 3.944 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.944 * [taylor]: Taking taylor expansion of (+ n f) in n 3.944 * [taylor]: Taking taylor expansion of n in n 3.944 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [taylor]: Taking taylor expansion of f in n 3.945 * [backup-simplify]: Simplify f into f 3.945 * [taylor]: Taking taylor expansion of (- f n) in n 3.945 * [taylor]: Taking taylor expansion of f in n 3.945 * [backup-simplify]: Simplify f into f 3.945 * [taylor]: Taking taylor expansion of n in n 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (+ 0 f) into f 3.945 * [backup-simplify]: Simplify (- 0) into 0 3.945 * [backup-simplify]: Simplify (+ f 0) into f 3.945 * [backup-simplify]: Simplify (/ f f) into 1 3.945 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.945 * [taylor]: Taking taylor expansion of -1 in f 3.945 * [backup-simplify]: Simplify -1 into -1 3.945 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.945 * [taylor]: Taking taylor expansion of (+ n f) in f 3.945 * [taylor]: Taking taylor expansion of n in f 3.946 * [backup-simplify]: Simplify n into n 3.946 * [taylor]: Taking taylor expansion of f in f 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of (- f n) in f 3.946 * [taylor]: Taking taylor expansion of f in f 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of n in f 3.946 * [backup-simplify]: Simplify n into n 3.946 * [backup-simplify]: Simplify (+ n 0) into n 3.946 * [backup-simplify]: Simplify (- n) into (- n) 3.946 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.946 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.946 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.946 * [taylor]: Taking taylor expansion of -1 in f 3.946 * [backup-simplify]: Simplify -1 into -1 3.946 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.946 * [taylor]: Taking taylor expansion of (+ n f) in f 3.946 * [taylor]: Taking taylor expansion of n in f 3.946 * [backup-simplify]: Simplify n into n 3.946 * [taylor]: Taking taylor expansion of f in f 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of (- f n) in f 3.946 * [taylor]: Taking taylor expansion of f in f 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of n in f 3.946 * [backup-simplify]: Simplify n into n 3.947 * [backup-simplify]: Simplify (+ n 0) into n 3.947 * [backup-simplify]: Simplify (- n) into (- n) 3.947 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.947 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.947 * [backup-simplify]: Simplify (* -1 -1) into 1 3.947 * [taylor]: Taking taylor expansion of 1 in n 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify 1 into 1 3.948 * [backup-simplify]: Simplify (+ 0 1) into 1 3.948 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 1 0) into 1 3.949 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.949 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.949 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.949 * [taylor]: Taking taylor expansion of 2 in n 3.949 * [backup-simplify]: Simplify 2 into 2 3.949 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.949 * [taylor]: Taking taylor expansion of n in n 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [backup-simplify]: Simplify (- 0) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.953 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.954 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.954 * [taylor]: Taking taylor expansion of 2 in n 3.954 * [backup-simplify]: Simplify 2 into 2 3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.954 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.954 * [taylor]: Taking taylor expansion of n in n 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (/ 1 1) into 1 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.962 * [backup-simplify]: Simplify (- 0) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.964 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.964 * [taylor]: Taking taylor expansion of 2 in n 3.964 * [backup-simplify]: Simplify 2 into 2 3.964 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.964 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.964 * [taylor]: Taking taylor expansion of n in n 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.977 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.977 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.977 * [taylor]: Taking taylor expansion of -1 in n 3.977 * [backup-simplify]: Simplify -1 into -1 3.977 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.977 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.977 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.977 * [taylor]: Taking taylor expansion of f in n 3.977 * [backup-simplify]: Simplify f into f 3.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.977 * [taylor]: Taking taylor expansion of n in n 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (/ 1 1) into 1 3.977 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.977 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.977 * [taylor]: Taking taylor expansion of f in n 3.977 * [backup-simplify]: Simplify f into f 3.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.977 * [taylor]: Taking taylor expansion of n in n 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (/ 1 1) into 1 3.978 * [backup-simplify]: Simplify (+ 0 1) into 1 3.978 * [backup-simplify]: Simplify (- 1) into -1 3.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.979 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.979 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.979 * [taylor]: Taking taylor expansion of -1 in f 3.979 * [backup-simplify]: Simplify -1 into -1 3.979 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.979 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.979 * [taylor]: Taking taylor expansion of f in f 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.979 * [taylor]: Taking taylor expansion of n in f 3.979 * [backup-simplify]: Simplify n into n 3.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.979 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.979 * [taylor]: Taking taylor expansion of f in f 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.979 * [taylor]: Taking taylor expansion of n in f 3.979 * [backup-simplify]: Simplify n into n 3.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.980 * [backup-simplify]: Simplify (+ 1 0) into 1 3.980 * [backup-simplify]: Simplify (+ 1 0) into 1 3.980 * [backup-simplify]: Simplify (/ 1 1) into 1 3.980 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.980 * [taylor]: Taking taylor expansion of -1 in f 3.980 * [backup-simplify]: Simplify -1 into -1 3.980 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.980 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.980 * [taylor]: Taking taylor expansion of f in f 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (/ 1 1) into 1 3.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.981 * [taylor]: Taking taylor expansion of n in f 3.981 * [backup-simplify]: Simplify n into n 3.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.981 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.981 * [taylor]: Taking taylor expansion of f in f 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (/ 1 1) into 1 3.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.981 * [taylor]: Taking taylor expansion of n in f 3.981 * [backup-simplify]: Simplify n into n 3.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.981 * [backup-simplify]: Simplify (+ 1 0) into 1 3.982 * [backup-simplify]: Simplify (+ 1 0) into 1 3.982 * [backup-simplify]: Simplify (/ 1 1) into 1 3.982 * [backup-simplify]: Simplify (* -1 1) into -1 3.982 * [taylor]: Taking taylor expansion of -1 in n 3.982 * [backup-simplify]: Simplify -1 into -1 3.982 * [backup-simplify]: Simplify -1 into -1 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.983 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.983 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.984 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.984 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.984 * [taylor]: Taking taylor expansion of 2 in n 3.984 * [backup-simplify]: Simplify 2 into 2 3.984 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.984 * [taylor]: Taking taylor expansion of n in n 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.985 * [backup-simplify]: Simplify (- 0) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.987 * [backup-simplify]: Simplify (- 0) into 0 3.987 * [backup-simplify]: Simplify (+ 0 0) into 0 3.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.989 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.989 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.989 * [taylor]: Taking taylor expansion of 2 in n 3.989 * [backup-simplify]: Simplify 2 into 2 3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.989 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.989 * [taylor]: Taking taylor expansion of n in n 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (* 1 1) into 1 3.989 * [backup-simplify]: Simplify (/ 1 1) into 1 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.992 * [backup-simplify]: Simplify (- 0) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.994 * [backup-simplify]: Simplify (- 0) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.997 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.997 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.997 * [taylor]: Taking taylor expansion of 2 in n 3.997 * [backup-simplify]: Simplify 2 into 2 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.997 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.997 * [taylor]: Taking taylor expansion of n in n 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (- 0) into 0 4.003 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify -1 into -1 4.004 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.004 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.004 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.004 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.004 * [taylor]: Taking taylor expansion of f in n 4.004 * [backup-simplify]: Simplify f into f 4.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.004 * [taylor]: Taking taylor expansion of n in n 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [backup-simplify]: Simplify (/ 1 1) into 1 4.004 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.004 * [taylor]: Taking taylor expansion of n in n 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [backup-simplify]: Simplify (/ 1 1) into 1 4.005 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.005 * [taylor]: Taking taylor expansion of f in n 4.005 * [backup-simplify]: Simplify f into f 4.005 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.005 * [backup-simplify]: Simplify (+ 0 1) into 1 4.005 * [backup-simplify]: Simplify (+ 1 0) into 1 4.005 * [backup-simplify]: Simplify (/ 1 1) into 1 4.005 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.005 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.005 * [taylor]: Taking taylor expansion of f in f 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ 1 1) into 1 4.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.006 * [taylor]: Taking taylor expansion of n in f 4.006 * [backup-simplify]: Simplify n into n 4.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.006 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.006 * [taylor]: Taking taylor expansion of n in f 4.006 * [backup-simplify]: Simplify n into n 4.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.006 * [taylor]: Taking taylor expansion of f in f 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ 1 1) into 1 4.006 * [backup-simplify]: Simplify (+ 1 0) into 1 4.007 * [backup-simplify]: Simplify (- 1) into -1 4.007 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.007 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.007 * [taylor]: Taking taylor expansion of f in f 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.008 * [taylor]: Taking taylor expansion of n in f 4.008 * [backup-simplify]: Simplify n into n 4.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.008 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.008 * [taylor]: Taking taylor expansion of n in f 4.008 * [backup-simplify]: Simplify n into n 4.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.008 * [taylor]: Taking taylor expansion of f in f 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [backup-simplify]: Simplify (+ 1 0) into 1 4.009 * [backup-simplify]: Simplify (- 1) into -1 4.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.009 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.009 * [taylor]: Taking taylor expansion of -1 in n 4.009 * [backup-simplify]: Simplify -1 into -1 4.009 * [backup-simplify]: Simplify -1 into -1 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (- 0) into 0 4.011 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.011 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.011 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.011 * [taylor]: Taking taylor expansion of 2 in n 4.011 * [backup-simplify]: Simplify 2 into 2 4.011 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.011 * [taylor]: Taking taylor expansion of n in n 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (/ 1 1) into 1 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (- 0) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.018 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.018 * [taylor]: Taking taylor expansion of 2 in n 4.018 * [backup-simplify]: Simplify 2 into 2 4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.018 * [taylor]: Taking taylor expansion of n in n 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.024 * [backup-simplify]: Simplify (- 0) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.025 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (- 0) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.028 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.028 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.028 * [taylor]: Taking taylor expansion of 2 in n 4.028 * [backup-simplify]: Simplify 2 into 2 4.028 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.028 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.028 * [taylor]: Taking taylor expansion of n in n 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (* 1 1) into 1 4.028 * [backup-simplify]: Simplify (* 1 1) into 1 4.028 * [backup-simplify]: Simplify (/ 1 1) into 1 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (- 0) into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify -1 into -1 4.034 * * * [progress]: simplifying candidates 4.037 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ 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5.344 * * [simplify]: Extracting #1: cost 1216 inf + 43 5.368 * * [simplify]: Extracting #2: cost 1908 inf + 5259 5.384 * * [simplify]: Extracting #3: cost 1907 inf + 34997 5.422 * * [simplify]: Extracting #4: cost 752 inf + 240357 5.549 * * [simplify]: Extracting #5: cost 85 inf + 405135 5.646 * * [simplify]: Extracting #6: cost 3 inf + 424518 5.753 * * [simplify]: Extracting #7: cost 0 inf + 425277 5.852 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ f n)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n 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f n))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (/ (cbrt (- f n)) (+ n f))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (/ (cbrt (- f n)) (+ n f))) (/ (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (sqrt (- f n))) (* (/ (sqrt -1) (sqrt (- f n))) (cbrt (+ n f))) (/ (* (sqrt (+ n f)) (sqrt -1)) (sqrt (- f n))) (/ (* (sqrt (+ n f)) (sqrt -1)) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (* (/ (sqrt -1) (sqrt (- f n))) (+ n f)) (/ (sqrt -1) (sqrt (- f n))) (* (/ (sqrt -1) (sqrt (- f n))) (+ n f)) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt -1)) (/ (* (sqrt (+ n f)) (sqrt -1)) (- f n)) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (* (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* (sqrt -1) (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (sqrt -1) (- (sqrt f) (sqrt n)))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt -1)) (/ (* (sqrt (+ n f)) (sqrt -1)) (- f n)) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ n f)) (* (fma (* n n) n (* (* f f) f)) (/ (sqrt -1) (- f n))) (/ (sqrt -1) (fma n (- n f) (* f f))) (/ (* (sqrt -1) (* (+ n f) (- f n))) (- f n)) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (fma (* n n) n (* (* f f) f)) (- f n)) (/ -1 (fma n (- n f) (* f f))) (/ (* (+ n f) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (+ f n))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (fma (* n n) n (* (* f f) f))) (- f n)) (/ (- (* (+ n f) (- f n))) (- f n)) (/ (/ (- f n) (cbrt -1)) (+ n f)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) -1 1 1 1 -1 -1 5.864 * * * [progress]: adding candidates to table 6.579 * * [progress]: iteration 3 / 4 6.579 * * * [progress]: picking best candidate 6.587 * * * * [pick]: Picked # 6.587 * * * [progress]: localizing error 6.626 * * * [progress]: generating rewritten candidates 6.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.655 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.742 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.752 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 6.783 * * * [progress]: generating series expansions 6.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.784 * [backup-simplify]: Simplify (/ (+ f n) (sqrt (- f n))) into (* (sqrt (/ 1 (- f n))) (+ n f)) 6.784 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in (f n) around 0 6.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in n 6.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in n 6.784 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 6.784 * [taylor]: Taking taylor expansion of (- f n) in n 6.784 * [taylor]: Taking taylor expansion of f in n 6.784 * [backup-simplify]: Simplify f into f 6.784 * [taylor]: Taking taylor expansion of n in n 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.785 * [backup-simplify]: Simplify (+ f 0) into f 6.785 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.785 * [backup-simplify]: Simplify (sqrt (/ 1 f)) into (sqrt (/ 1 f)) 6.786 * [backup-simplify]: Simplify (- 1) into -1 6.786 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ -1 f)))) into (/ 1 (pow f 2)) 6.787 * [backup-simplify]: Simplify (/ (/ 1 (pow f 2)) (* 2 (sqrt (/ 1 f)))) into (* 1/2 (sqrt (/ 1 (pow f 3)))) 6.787 * [taylor]: Taking taylor expansion of (+ n f) in n 6.787 * [taylor]: Taking taylor expansion of n in n 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [taylor]: Taking taylor expansion of f in n 6.787 * [backup-simplify]: Simplify f into f 6.787 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in f 6.787 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 6.787 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 6.787 * [taylor]: Taking taylor expansion of (- f n) in f 6.787 * [taylor]: Taking taylor expansion of f in f 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [taylor]: Taking taylor expansion of n in f 6.787 * [backup-simplify]: Simplify n into n 6.787 * [backup-simplify]: Simplify (- n) into (- n) 6.787 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.787 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 6.787 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 6.788 * [backup-simplify]: Simplify (- 0) into 0 6.788 * [backup-simplify]: Simplify (+ 1 0) into 1 6.788 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 6.789 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 6.789 * [taylor]: Taking taylor expansion of (+ n f) in f 6.789 * [taylor]: Taking taylor expansion of n in f 6.789 * [backup-simplify]: Simplify n into n 6.789 * [taylor]: Taking taylor expansion of f in f 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in f 6.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 6.789 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 6.789 * [taylor]: Taking taylor expansion of (- f n) in f 6.789 * [taylor]: Taking taylor expansion of f in f 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [taylor]: Taking taylor expansion of n in f 6.789 * [backup-simplify]: Simplify n into n 6.789 * [backup-simplify]: Simplify (- n) into (- n) 6.789 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.789 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 6.789 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 6.793 * [backup-simplify]: Simplify (- 0) into 0 6.794 * [backup-simplify]: Simplify (+ 1 0) into 1 6.794 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 6.794 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 6.794 * [taylor]: Taking taylor expansion of (+ n f) in f 6.794 * [taylor]: Taking taylor expansion of n in f 6.794 * [backup-simplify]: Simplify n into n 6.794 * [taylor]: Taking taylor expansion of f in f 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify (+ n 0) into n 6.794 * [backup-simplify]: Simplify (* (sqrt (/ -1 n)) n) into (* (sqrt (/ -1 n)) n) 6.794 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) n) in n 6.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.794 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.795 * [taylor]: Taking taylor expansion of -1 in n 6.795 * [backup-simplify]: Simplify -1 into -1 6.795 * [taylor]: Taking taylor expansion of n in n 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [backup-simplify]: Simplify (/ -1 1) into -1 6.795 * [backup-simplify]: Simplify (sqrt 0) into 0 6.796 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.796 * [taylor]: Taking taylor expansion of n in n 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 1 into 1 6.797 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify (+ 0 1) into 1 6.797 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 n)) 1) (* (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) n)) into (- (sqrt (/ -1 n)) (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n)))) 6.797 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 n)) (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n)))) in n 6.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.797 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.797 * [taylor]: Taking taylor expansion of -1 in n 6.797 * [backup-simplify]: Simplify -1 into -1 6.797 * [taylor]: Taking taylor expansion of n in n 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.798 * [backup-simplify]: Simplify (/ -1 1) into -1 6.798 * [backup-simplify]: Simplify (sqrt 0) into 0 6.799 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n))) in n 6.799 * [taylor]: Taking taylor expansion of 1/2 in n 6.799 * [backup-simplify]: Simplify 1/2 into 1/2 6.799 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) n)) in n 6.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) n) in n 6.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.799 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.799 * [taylor]: Taking taylor expansion of -1 in n 6.799 * [backup-simplify]: Simplify -1 into -1 6.799 * [taylor]: Taking taylor expansion of n in n 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (/ -1 1) into -1 6.799 * [backup-simplify]: Simplify (sqrt 0) into 0 6.800 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.800 * [taylor]: Taking taylor expansion of n in n 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (* 0 0) into 0 6.801 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 6.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 6.806 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 6.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0)))) into (- +nan.0) 6.813 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.814 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 6.815 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.815 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.816 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 6.820 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.820 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (- 0) into 0 6.821 * [backup-simplify]: Simplify (+ 0 0) into 0 6.821 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 6.821 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 3))) (pow (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 2) (+)) (* 2 (sqrt (/ -1 n)))) into (* -1/2 (/ (+ (/ 1 (pow n 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 n)) 2) (pow n 4))))) (sqrt (/ -1 n)))) 6.822 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 n)) 0) (+ (* (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 1) (* (* -1/2 (/ (+ (/ 1 (pow n 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 n)) 2) (pow n 4))))) (sqrt (/ -1 n)))) n))) into (- (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))))) 6.822 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))))) in n 6.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3))))) in n 6.822 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) in n 6.822 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) (pow n 2)) in n 6.822 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.822 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.822 * [taylor]: Taking taylor expansion of -1 in n 6.822 * [backup-simplify]: Simplify -1 into -1 6.822 * [taylor]: Taking taylor expansion of n in n 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.823 * [backup-simplify]: Simplify (/ -1 1) into -1 6.823 * [backup-simplify]: Simplify (sqrt 0) into 0 6.824 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.824 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.824 * [taylor]: Taking taylor expansion of n in n 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.824 * [backup-simplify]: Simplify (* 1 1) into 1 6.824 * [backup-simplify]: Simplify (* 0 1) into 0 6.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.826 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 6.826 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 6.826 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))) in n 6.826 * [taylor]: Taking taylor expansion of 1/8 in n 6.826 * [backup-simplify]: Simplify 1/8 into 1/8 6.826 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3))) in n 6.826 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) 3) (pow n 3)) in n 6.826 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 3) in n 6.826 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.826 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.826 * [taylor]: Taking taylor expansion of -1 in n 6.826 * [backup-simplify]: Simplify -1 into -1 6.826 * [taylor]: Taking taylor expansion of n in n 6.826 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify 1 into 1 6.827 * [backup-simplify]: Simplify (/ -1 1) into -1 6.827 * [backup-simplify]: Simplify (sqrt 0) into 0 6.829 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.829 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.829 * [taylor]: Taking taylor expansion of n in n 6.829 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify 1 into 1 6.829 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.830 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.830 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.832 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 1)))) into (- +nan.0) 6.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 1))) into (- +nan.0) 6.854 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.859 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.863 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.864 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 6.865 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 6.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.870 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 6.872 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 6.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.877 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 6.880 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 6.884 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) 1)))) into (- +nan.0) 6.885 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) 1)) into (- +nan.0) 6.886 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 6.889 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) 1))) into (- +nan.0) 6.893 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 6.897 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 6.899 * [backup-simplify]: Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0)))) into (- +nan.0) 6.900 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 6.900 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.902 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* (- +nan.0) (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 6.902 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (sqrt (- (/ 1 f) (/ 1 n)))) into (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) 6.902 * [approximate]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in (f n) around 0 6.902 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n 6.902 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.902 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.902 * [taylor]: Taking taylor expansion of f in n 6.902 * [backup-simplify]: Simplify f into f 6.902 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.902 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.902 * [taylor]: Taking taylor expansion of n in n 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (/ 1 1) into 1 6.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n 6.902 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 6.902 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.902 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.902 * [taylor]: Taking taylor expansion of f in n 6.902 * [backup-simplify]: Simplify f into f 6.902 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.902 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.902 * [taylor]: Taking taylor expansion of n in n 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.903 * [backup-simplify]: Simplify (/ 1 1) into 1 6.903 * [backup-simplify]: Simplify (- 1) into -1 6.903 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.903 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.904 * [backup-simplify]: Simplify (sqrt 0) into 0 6.904 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.905 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 6.905 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.905 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.905 * [taylor]: Taking taylor expansion of f in f 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify (/ 1 1) into 1 6.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.905 * [taylor]: Taking taylor expansion of n in f 6.905 * [backup-simplify]: Simplify n into n 6.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 6.905 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 6.905 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.905 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.905 * [taylor]: Taking taylor expansion of f in f 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify (/ 1 1) into 1 6.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.905 * [taylor]: Taking taylor expansion of n in f 6.905 * [backup-simplify]: Simplify n into n 6.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.906 * [backup-simplify]: Simplify (+ 1 0) into 1 6.906 * [backup-simplify]: Simplify (/ 1 1) into 1 6.906 * [backup-simplify]: Simplify (sqrt 0) into 0 6.907 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.907 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 6.907 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.907 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.907 * [taylor]: Taking taylor expansion of f in f 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (/ 1 1) into 1 6.907 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.907 * [taylor]: Taking taylor expansion of n in f 6.907 * [backup-simplify]: Simplify n into n 6.907 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 6.907 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 6.907 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.907 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.907 * [taylor]: Taking taylor expansion of f in f 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (/ 1 1) into 1 6.908 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.908 * [taylor]: Taking taylor expansion of n in f 6.908 * [backup-simplify]: Simplify n into n 6.908 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.908 * [backup-simplify]: Simplify (+ 1 0) into 1 6.908 * [backup-simplify]: Simplify (/ 1 1) into 1 6.909 * [backup-simplify]: Simplify (sqrt 0) into 0 6.909 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.910 * [backup-simplify]: Simplify (+ 1 0) into 1 6.910 * [backup-simplify]: Simplify (* 1 0) into 0 6.910 * [taylor]: Taking taylor expansion of 0 in n 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.911 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 6.911 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.911 * [taylor]: Taking taylor expansion of +nan.0 in n 6.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.911 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 6.912 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 6.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.914 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 n) +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 6.914 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 6.914 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 6.914 * [taylor]: Taking taylor expansion of +nan.0 in n 6.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.914 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 6.914 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.914 * [taylor]: Taking taylor expansion of +nan.0 in n 6.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.914 * [taylor]: Taking taylor expansion of n in n 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (/ 1 1) into 1 6.915 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.915 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.915 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.916 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.916 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.916 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.917 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.918 * [backup-simplify]: Simplify (- 0) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 6.919 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) 6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.920 * [backup-simplify]: Simplify (+ 0 0) into 0 6.920 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) (+ (* (/ 1 n) (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 6.920 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 6.921 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 6.921 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 6.921 * [taylor]: Taking taylor expansion of +nan.0 in n 6.921 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.921 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.921 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.921 * [taylor]: Taking taylor expansion of n in n 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (* 1 1) into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.921 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 6.921 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 6.921 * [taylor]: Taking taylor expansion of +nan.0 in n 6.921 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.921 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 6.921 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.921 * [taylor]: Taking taylor expansion of +nan.0 in n 6.921 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.921 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.921 * [taylor]: Taking taylor expansion of n in n 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 1 into 1 6.922 * [backup-simplify]: Simplify (/ 1 1) into 1 6.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.923 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.923 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.924 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.924 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.925 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.925 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.926 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.927 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 6.927 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) 6.927 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 6.927 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in n 6.927 * [taylor]: Taking taylor expansion of -1 in n 6.927 * [backup-simplify]: Simplify -1 into -1 6.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in n 6.927 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.927 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.927 * [taylor]: Taking taylor expansion of f in n 6.927 * [backup-simplify]: Simplify f into f 6.927 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.927 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.927 * [taylor]: Taking taylor expansion of n in n 6.927 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify 1 into 1 6.927 * [backup-simplify]: Simplify (/ 1 1) into 1 6.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n 6.927 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 6.927 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.927 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.927 * [taylor]: Taking taylor expansion of n in n 6.927 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 1 into 1 6.928 * [backup-simplify]: Simplify (/ 1 1) into 1 6.928 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.928 * [taylor]: Taking taylor expansion of f in n 6.928 * [backup-simplify]: Simplify f into f 6.928 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.928 * [backup-simplify]: Simplify (+ 1 0) into 1 6.928 * [backup-simplify]: Simplify (/ 1 1) into 1 6.929 * [backup-simplify]: Simplify (sqrt 0) into 0 6.929 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.929 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in f 6.929 * [taylor]: Taking taylor expansion of -1 in f 6.929 * [backup-simplify]: Simplify -1 into -1 6.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 6.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.930 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.930 * [taylor]: Taking taylor expansion of f in f 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 1 into 1 6.930 * [backup-simplify]: Simplify (/ 1 1) into 1 6.930 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.930 * [taylor]: Taking taylor expansion of n in f 6.930 * [backup-simplify]: Simplify n into n 6.930 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 6.930 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 6.930 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.930 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.930 * [taylor]: Taking taylor expansion of n in f 6.930 * [backup-simplify]: Simplify n into n 6.930 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.930 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.930 * [taylor]: Taking taylor expansion of f in f 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 1 into 1 6.930 * [backup-simplify]: Simplify (/ 1 1) into 1 6.931 * [backup-simplify]: Simplify (- 1) into -1 6.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.931 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.931 * [backup-simplify]: Simplify (sqrt 0) into 0 6.932 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.932 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in f 6.932 * [taylor]: Taking taylor expansion of -1 in f 6.932 * [backup-simplify]: Simplify -1 into -1 6.932 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 6.932 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.932 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.932 * [taylor]: Taking taylor expansion of f in f 6.932 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify 1 into 1 6.933 * [backup-simplify]: Simplify (/ 1 1) into 1 6.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.933 * [taylor]: Taking taylor expansion of n in f 6.933 * [backup-simplify]: Simplify n into n 6.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 6.933 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 6.933 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.933 * [taylor]: Taking taylor expansion of n in f 6.933 * [backup-simplify]: Simplify n into n 6.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.933 * [taylor]: Taking taylor expansion of f in f 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 1 into 1 6.933 * [backup-simplify]: Simplify (/ 1 1) into 1 6.933 * [backup-simplify]: Simplify (- 1) into -1 6.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.934 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.934 * [backup-simplify]: Simplify (sqrt 0) into 0 6.935 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.935 * [backup-simplify]: Simplify (+ 1 0) into 1 6.935 * [backup-simplify]: Simplify (* 1 0) into 0 6.936 * [backup-simplify]: Simplify (* -1 0) into 0 6.936 * [taylor]: Taking taylor expansion of 0 in n 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.936 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.937 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 6.938 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 6.938 * [taylor]: Taking taylor expansion of (- +nan.0) in n 6.938 * [taylor]: Taking taylor expansion of +nan.0 in n 6.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (- 0) into 0 6.939 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.939 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 6.940 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 6.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.942 * [backup-simplify]: Simplify (+ 0 0) into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* (/ 1 n) +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 6.943 * [backup-simplify]: Simplify (+ (* -1 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 6.943 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 6.943 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 6.943 * [taylor]: Taking taylor expansion of +nan.0 in n 6.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.943 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 6.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.943 * [taylor]: Taking taylor expansion of +nan.0 in n 6.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.943 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.943 * [taylor]: Taking taylor expansion of n in n 6.943 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [backup-simplify]: Simplify (/ 1 1) into 1 6.944 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.946 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.947 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.947 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.947 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.948 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (- 0) into 0 6.950 * [backup-simplify]: Simplify (+ 0 0) into 0 6.950 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 6.952 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 6.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.953 * [backup-simplify]: Simplify (+ 0 0) into 0 6.955 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* (/ 1 n) (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 6.956 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 6.956 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 6.956 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 6.956 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 6.956 * [taylor]: Taking taylor expansion of +nan.0 in n 6.956 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.956 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.956 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.957 * [taylor]: Taking taylor expansion of n in n 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (* 1 1) into 1 6.957 * [backup-simplify]: Simplify (/ 1 1) into 1 6.957 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 6.957 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 6.957 * [taylor]: Taking taylor expansion of +nan.0 in n 6.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.958 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 6.958 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 6.958 * [taylor]: Taking taylor expansion of +nan.0 in n 6.958 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.958 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.958 * [taylor]: Taking taylor expansion of n in n 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (/ 1 1) into 1 6.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.961 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.961 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.962 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.963 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.964 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.965 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 6.965 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.967 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 6.967 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.967 * [backup-simplify]: Simplify (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) into (* -1 (/ (+ n f) (- f n))) 6.967 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.967 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.967 * [taylor]: Taking taylor expansion of -1 in n 6.967 * [backup-simplify]: Simplify -1 into -1 6.967 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.967 * [taylor]: Taking taylor expansion of (+ n f) in n 6.967 * [taylor]: Taking taylor expansion of n in n 6.967 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify 1 into 1 6.967 * [taylor]: Taking taylor expansion of f in n 6.967 * [backup-simplify]: Simplify f into f 6.967 * [taylor]: Taking taylor expansion of (- f n) in n 6.967 * [taylor]: Taking taylor expansion of f in n 6.967 * [backup-simplify]: Simplify f into f 6.967 * [taylor]: Taking taylor expansion of n in n 6.967 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify (+ 0 f) into f 6.968 * [backup-simplify]: Simplify (- 0) into 0 6.968 * [backup-simplify]: Simplify (+ f 0) into f 6.968 * [backup-simplify]: Simplify (/ f f) into 1 6.968 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.968 * [taylor]: Taking taylor expansion of -1 in f 6.968 * [backup-simplify]: Simplify -1 into -1 6.968 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.968 * [taylor]: Taking taylor expansion of (+ n f) in f 6.968 * [taylor]: Taking taylor expansion of n in f 6.968 * [backup-simplify]: Simplify n into n 6.968 * [taylor]: Taking taylor expansion of f in f 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [taylor]: Taking taylor expansion of (- f n) in f 6.968 * [taylor]: Taking taylor expansion of f in f 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [taylor]: Taking taylor expansion of n in f 6.969 * [backup-simplify]: Simplify n into n 6.969 * [backup-simplify]: Simplify (+ n 0) into n 6.969 * [backup-simplify]: Simplify (- n) into (- n) 6.969 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.969 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.969 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.969 * [taylor]: Taking taylor expansion of -1 in f 6.969 * [backup-simplify]: Simplify -1 into -1 6.969 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.969 * [taylor]: Taking taylor expansion of (+ n f) in f 6.969 * [taylor]: Taking taylor expansion of n in f 6.969 * [backup-simplify]: Simplify n into n 6.969 * [taylor]: Taking taylor expansion of f in f 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.969 * [taylor]: Taking taylor expansion of (- f n) in f 6.969 * [taylor]: Taking taylor expansion of f in f 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.969 * [taylor]: Taking taylor expansion of n in f 6.969 * [backup-simplify]: Simplify n into n 6.969 * [backup-simplify]: Simplify (+ n 0) into n 6.969 * [backup-simplify]: Simplify (- n) into (- n) 6.969 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.969 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.970 * [backup-simplify]: Simplify (* -1 -1) into 1 6.970 * [taylor]: Taking taylor expansion of 1 in n 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (+ 0 1) into 1 6.971 * [backup-simplify]: Simplify (- 0) into 0 6.971 * [backup-simplify]: Simplify (+ 1 0) into 1 6.971 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.972 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.972 * [taylor]: Taking taylor expansion of 2 in n 6.972 * [backup-simplify]: Simplify 2 into 2 6.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.972 * [taylor]: Taking taylor expansion of n in n 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 1 into 1 6.973 * [backup-simplify]: Simplify (/ 1 1) into 1 6.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.975 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify (+ 0 0) into 0 6.976 * [backup-simplify]: Simplify (- 0) into 0 6.976 * [backup-simplify]: Simplify (+ 0 0) into 0 6.976 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.977 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.977 * [taylor]: Taking taylor expansion of 2 in n 6.978 * [backup-simplify]: Simplify 2 into 2 6.978 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.978 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.978 * [taylor]: Taking taylor expansion of n in n 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (* 1 1) into 1 6.979 * [backup-simplify]: Simplify (/ 1 1) into 1 6.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify (+ 0 0) into 0 6.985 * [backup-simplify]: Simplify (- 0) into 0 6.986 * [backup-simplify]: Simplify (+ 0 0) into 0 6.986 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.987 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.987 * [taylor]: Taking taylor expansion of 2 in n 6.987 * [backup-simplify]: Simplify 2 into 2 6.987 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.988 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.988 * [taylor]: Taking taylor expansion of n in n 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [backup-simplify]: Simplify (* 1 1) into 1 6.988 * [backup-simplify]: Simplify (* 1 1) into 1 6.989 * [backup-simplify]: Simplify (/ 1 1) into 1 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (* (/ -1 (sqrt (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 f) (/ 1 n)) (sqrt (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.999 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.999 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.999 * [taylor]: Taking taylor expansion of -1 in n 6.999 * [backup-simplify]: Simplify -1 into -1 7.000 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.000 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.000 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.000 * [taylor]: Taking taylor expansion of f in n 7.000 * [backup-simplify]: Simplify f into f 7.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.000 * [taylor]: Taking taylor expansion of n in n 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (/ 1 1) into 1 7.000 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.000 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.000 * [taylor]: Taking taylor expansion of f in n 7.000 * [backup-simplify]: Simplify f into f 7.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.000 * [taylor]: Taking taylor expansion of n in n 7.000 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (/ 1 1) into 1 7.002 * [backup-simplify]: Simplify (+ 0 1) into 1 7.002 * [backup-simplify]: Simplify (- 1) into -1 7.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.003 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.003 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.003 * [taylor]: Taking taylor expansion of -1 in f 7.003 * [backup-simplify]: Simplify -1 into -1 7.003 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.003 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.003 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.003 * [taylor]: Taking taylor expansion of f in f 7.003 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (/ 1 1) into 1 7.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.004 * [taylor]: Taking taylor expansion of n in f 7.004 * [backup-simplify]: Simplify n into n 7.004 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.004 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.004 * [taylor]: Taking taylor expansion of f in f 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (/ 1 1) into 1 7.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.004 * [taylor]: Taking taylor expansion of n in f 7.004 * [backup-simplify]: Simplify n into n 7.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.005 * [backup-simplify]: Simplify (+ 1 0) into 1 7.005 * [backup-simplify]: Simplify (+ 1 0) into 1 7.006 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.006 * [taylor]: Taking taylor expansion of -1 in f 7.006 * [backup-simplify]: Simplify -1 into -1 7.006 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.006 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.006 * [taylor]: Taking taylor expansion of f in f 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.006 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.007 * [taylor]: Taking taylor expansion of n in f 7.007 * [backup-simplify]: Simplify n into n 7.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.007 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.007 * [taylor]: Taking taylor expansion of f in f 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify 1 into 1 7.007 * [backup-simplify]: Simplify (/ 1 1) into 1 7.007 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.007 * [taylor]: Taking taylor expansion of n in f 7.007 * [backup-simplify]: Simplify n into n 7.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.008 * [backup-simplify]: Simplify (+ 1 0) into 1 7.008 * [backup-simplify]: Simplify (+ 1 0) into 1 7.011 * [backup-simplify]: Simplify (/ 1 1) into 1 7.012 * [backup-simplify]: Simplify (* -1 1) into -1 7.012 * [taylor]: Taking taylor expansion of -1 in n 7.012 * [backup-simplify]: Simplify -1 into -1 7.012 * [backup-simplify]: Simplify -1 into -1 7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.013 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.013 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.013 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.014 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.014 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.014 * [taylor]: Taking taylor expansion of 2 in n 7.014 * [backup-simplify]: Simplify 2 into 2 7.014 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.014 * [taylor]: Taking taylor expansion of n in n 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (/ 1 1) into 1 7.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.016 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.017 * [backup-simplify]: Simplify (- 0) into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.018 * [backup-simplify]: Simplify (+ 0 0) into 0 7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.020 * [backup-simplify]: Simplify (- 0) into 0 7.020 * [backup-simplify]: Simplify (+ 0 0) into 0 7.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.022 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.022 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.022 * [taylor]: Taking taylor expansion of 2 in n 7.022 * [backup-simplify]: Simplify 2 into 2 7.022 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.022 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.022 * [taylor]: Taking taylor expansion of n in n 7.022 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (* 1 1) into 1 7.023 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.028 * [backup-simplify]: Simplify (- 0) into 0 7.028 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 into 0 7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.032 * [backup-simplify]: Simplify (+ 0 0) into 0 7.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.033 * [backup-simplify]: Simplify (- 0) into 0 7.034 * [backup-simplify]: Simplify (+ 0 0) into 0 7.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.037 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.037 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.037 * [taylor]: Taking taylor expansion of 2 in n 7.037 * [backup-simplify]: Simplify 2 into 2 7.037 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.037 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.037 * [taylor]: Taking taylor expansion of n in n 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 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 7.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.047 * [backup-simplify]: Simplify (- 0) into 0 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify -1 into -1 7.048 * [backup-simplify]: Simplify (* (/ -1 (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.048 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.048 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.048 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.048 * [taylor]: Taking taylor expansion of f in n 7.048 * [backup-simplify]: Simplify f into f 7.048 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.048 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.048 * [taylor]: Taking taylor expansion of n in n 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (/ 1 1) into 1 7.049 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.049 * [taylor]: Taking taylor expansion of n in n 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (/ 1 1) into 1 7.049 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.049 * [taylor]: Taking taylor expansion of f in n 7.050 * [backup-simplify]: Simplify f into f 7.050 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.050 * [backup-simplify]: Simplify (+ 0 1) into 1 7.050 * [backup-simplify]: Simplify (+ 1 0) into 1 7.051 * [backup-simplify]: Simplify (/ 1 1) into 1 7.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.051 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.051 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.051 * [taylor]: Taking taylor expansion of f in f 7.051 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify 1 into 1 7.051 * [backup-simplify]: Simplify (/ 1 1) into 1 7.051 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.051 * [taylor]: Taking taylor expansion of n in f 7.052 * [backup-simplify]: Simplify n into n 7.052 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.052 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.052 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.052 * [taylor]: Taking taylor expansion of n in f 7.052 * [backup-simplify]: Simplify n into n 7.052 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.052 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.052 * [taylor]: Taking taylor expansion of f in f 7.052 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify 1 into 1 7.052 * [backup-simplify]: Simplify (/ 1 1) into 1 7.053 * [backup-simplify]: Simplify (+ 1 0) into 1 7.053 * [backup-simplify]: Simplify (- 1) into -1 7.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.054 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.054 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.054 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.054 * [taylor]: Taking taylor expansion of f in f 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 7.055 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.055 * [taylor]: Taking taylor expansion of n in f 7.055 * [backup-simplify]: Simplify n into n 7.055 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.055 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.055 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.055 * [taylor]: Taking taylor expansion of n in f 7.055 * [backup-simplify]: Simplify n into n 7.055 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.055 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.055 * [taylor]: Taking taylor expansion of f in f 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [backup-simplify]: Simplify (/ 1 1) into 1 7.056 * [backup-simplify]: Simplify (+ 1 0) into 1 7.056 * [backup-simplify]: Simplify (- 1) into -1 7.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.057 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.057 * [taylor]: Taking taylor expansion of -1 in n 7.057 * [backup-simplify]: Simplify -1 into -1 7.057 * [backup-simplify]: Simplify -1 into -1 7.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.058 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (- 0) into 0 7.060 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.060 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.060 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.060 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.060 * [taylor]: Taking taylor expansion of 2 in n 7.060 * [backup-simplify]: Simplify 2 into 2 7.060 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.060 * [taylor]: Taking taylor expansion of n in n 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (/ 1 1) into 1 7.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.064 * [backup-simplify]: Simplify (- 0) into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.065 * [backup-simplify]: Simplify (+ 0 0) into 0 7.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.066 * [backup-simplify]: Simplify (- 0) into 0 7.067 * [backup-simplify]: Simplify (+ 0 0) into 0 7.067 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.068 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.068 * [taylor]: Taking taylor expansion of 2 in n 7.068 * [backup-simplify]: Simplify 2 into 2 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.068 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.068 * [taylor]: Taking taylor expansion of n in n 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [backup-simplify]: Simplify (* 1 1) into 1 7.068 * [backup-simplify]: Simplify (/ 1 1) into 1 7.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.071 * [backup-simplify]: Simplify (- 0) into 0 7.071 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.072 * [backup-simplify]: Simplify (- 0) into 0 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.073 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify (- 0) into 0 7.074 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.076 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.076 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.076 * [taylor]: Taking taylor expansion of 2 in n 7.076 * [backup-simplify]: Simplify 2 into 2 7.076 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.076 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.076 * [taylor]: Taking taylor expansion of n in n 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (* 1 1) into 1 7.076 * [backup-simplify]: Simplify (* 1 1) into 1 7.077 * [backup-simplify]: Simplify (/ 1 1) into 1 7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (- 0) into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify -1 into -1 7.082 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.082 * [backup-simplify]: Simplify (/ -1 (sqrt (- f n))) into (* -1 (sqrt (/ 1 (- f n)))) 7.082 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in (f n) around 0 7.082 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in n 7.083 * [taylor]: Taking taylor expansion of -1 in n 7.083 * [backup-simplify]: Simplify -1 into -1 7.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in n 7.083 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 7.083 * [taylor]: Taking taylor expansion of (- f n) in n 7.083 * [taylor]: Taking taylor expansion of f in n 7.083 * [backup-simplify]: Simplify f into f 7.083 * [taylor]: Taking taylor expansion of n in n 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 1 into 1 7.083 * [backup-simplify]: Simplify (- 0) into 0 7.083 * [backup-simplify]: Simplify (+ f 0) into f 7.083 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.083 * [backup-simplify]: Simplify (sqrt (/ 1 f)) into (sqrt (/ 1 f)) 7.083 * [backup-simplify]: Simplify (- 1) into -1 7.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ -1 f)))) into (/ 1 (pow f 2)) 7.084 * [backup-simplify]: Simplify (/ (/ 1 (pow f 2)) (* 2 (sqrt (/ 1 f)))) into (* 1/2 (sqrt (/ 1 (pow f 3)))) 7.084 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in f 7.084 * [taylor]: Taking taylor expansion of -1 in f 7.084 * [backup-simplify]: Simplify -1 into -1 7.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 7.084 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 7.084 * [taylor]: Taking taylor expansion of (- f n) in f 7.084 * [taylor]: Taking taylor expansion of f in f 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 1 into 1 7.084 * [taylor]: Taking taylor expansion of n in f 7.084 * [backup-simplify]: Simplify n into n 7.084 * [backup-simplify]: Simplify (- n) into (- n) 7.084 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.084 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.084 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 7.084 * [backup-simplify]: Simplify (- 0) into 0 7.085 * [backup-simplify]: Simplify (+ 1 0) into 1 7.085 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 7.085 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in f 7.085 * [taylor]: Taking taylor expansion of -1 in f 7.085 * [backup-simplify]: Simplify -1 into -1 7.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 7.085 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 7.085 * [taylor]: Taking taylor expansion of (- f n) in f 7.085 * [taylor]: Taking taylor expansion of f in f 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [taylor]: Taking taylor expansion of n in f 7.085 * [backup-simplify]: Simplify n into n 7.085 * [backup-simplify]: Simplify (- n) into (- n) 7.085 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.085 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.085 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 7.086 * [backup-simplify]: Simplify (- 0) into 0 7.086 * [backup-simplify]: Simplify (+ 1 0) into 1 7.086 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 7.086 * [backup-simplify]: Simplify (* -1 (sqrt (/ -1 n))) into (* -1 (sqrt (/ -1 n))) 7.086 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 n))) in n 7.086 * [taylor]: Taking taylor expansion of -1 in n 7.086 * [backup-simplify]: Simplify -1 into -1 7.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 7.086 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.086 * [taylor]: Taking taylor expansion of -1 in n 7.086 * [backup-simplify]: Simplify -1 into -1 7.086 * [taylor]: Taking taylor expansion of n in n 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify 1 into 1 7.087 * [backup-simplify]: Simplify (/ -1 1) into -1 7.087 * [backup-simplify]: Simplify (sqrt 0) into 0 7.088 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.089 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 7.089 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.089 * [backup-simplify]: Simplify (+ (* -1 (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2)))) (* 0 (sqrt (/ -1 n)))) into (* 1/2 (/ 1 (* (sqrt (/ -1 n)) (pow n 2)))) 7.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (/ -1 n)) (pow n 2)))) in n 7.089 * [taylor]: Taking taylor expansion of 1/2 in n 7.089 * [backup-simplify]: Simplify 1/2 into 1/2 7.089 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) in n 7.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) (pow n 2)) in n 7.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 7.089 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.089 * [taylor]: Taking taylor expansion of -1 in n 7.089 * [backup-simplify]: Simplify -1 into -1 7.089 * [taylor]: Taking taylor expansion of n in n 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.090 * [backup-simplify]: Simplify (/ -1 1) into -1 7.090 * [backup-simplify]: Simplify (sqrt 0) into 0 7.091 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.091 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.091 * [taylor]: Taking taylor expansion of n in n 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [backup-simplify]: Simplify (* 1 1) into 1 7.091 * [backup-simplify]: Simplify (* 0 1) into 0 7.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.093 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 7.093 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 7.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.099 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 1)))) into (- +nan.0) 7.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 1))) into (- +nan.0) 7.109 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 7.113 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 7.114 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 7.114 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.118 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.118 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.119 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 7.119 * [backup-simplify]: Simplify (/ -1 (sqrt (- (/ 1 f) (/ 1 n)))) into (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) 7.119 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in (f n) around 0 7.119 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n 7.119 * [taylor]: Taking taylor expansion of -1 in n 7.119 * [backup-simplify]: Simplify -1 into -1 7.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n 7.119 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 7.119 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.119 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.119 * [taylor]: Taking taylor expansion of f in n 7.119 * [backup-simplify]: Simplify f into f 7.119 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.119 * [taylor]: Taking taylor expansion of n in n 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.120 * [backup-simplify]: Simplify (/ 1 1) into 1 7.120 * [backup-simplify]: Simplify (- 1) into -1 7.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.120 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.121 * [backup-simplify]: Simplify (sqrt 0) into 0 7.122 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.122 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 7.122 * [taylor]: Taking taylor expansion of -1 in f 7.122 * [backup-simplify]: Simplify -1 into -1 7.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 7.122 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 7.122 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.122 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.122 * [taylor]: Taking taylor expansion of f in f 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (/ 1 1) into 1 7.122 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.122 * [taylor]: Taking taylor expansion of n in f 7.122 * [backup-simplify]: Simplify n into n 7.122 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.122 * [backup-simplify]: Simplify (+ 1 0) into 1 7.123 * [backup-simplify]: Simplify (/ 1 1) into 1 7.123 * [backup-simplify]: Simplify (sqrt 0) into 0 7.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.124 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 7.124 * [taylor]: Taking taylor expansion of -1 in f 7.124 * [backup-simplify]: Simplify -1 into -1 7.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 7.124 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 7.124 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.124 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.124 * [taylor]: Taking taylor expansion of f in f 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (/ 1 1) into 1 7.126 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.126 * [taylor]: Taking taylor expansion of n in f 7.126 * [backup-simplify]: Simplify n into n 7.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.126 * [backup-simplify]: Simplify (+ 1 0) into 1 7.127 * [backup-simplify]: Simplify (/ 1 1) into 1 7.127 * [backup-simplify]: Simplify (sqrt 0) into 0 7.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.128 * [backup-simplify]: Simplify (* -1 0) into 0 7.128 * [taylor]: Taking taylor expansion of 0 in n 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 7.129 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.129 * [taylor]: Taking taylor expansion of +nan.0 in n 7.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.129 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.130 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.130 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.130 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 7.131 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 7.132 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 7.132 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 7.132 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 7.132 * [taylor]: Taking taylor expansion of +nan.0 in n 7.132 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.132 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 7.132 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.132 * [taylor]: Taking taylor expansion of +nan.0 in n 7.132 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.132 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.132 * [taylor]: Taking taylor expansion of n in n 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 (/ 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.133 * [backup-simplify]: Simplify (- 0) into 0 7.133 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.134 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.134 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.135 * [backup-simplify]: Simplify (- 0) into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.136 * [backup-simplify]: Simplify (- 0) into 0 7.137 * [backup-simplify]: Simplify (+ 0 0) into 0 7.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 7.138 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) 7.140 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) (+ (* 0 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 7.140 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 7.140 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 7.140 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.140 * [taylor]: Taking taylor expansion of +nan.0 in n 7.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.140 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.140 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.140 * [taylor]: Taking taylor expansion of n in n 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.141 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 7.141 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 7.141 * [taylor]: Taking taylor expansion of +nan.0 in n 7.141 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.141 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 7.141 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.141 * [taylor]: Taking taylor expansion of +nan.0 in n 7.141 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.141 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.141 * [taylor]: Taking taylor expansion of n in n 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (/ 1 1) into 1 7.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.148 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.148 * [backup-simplify]: Simplify (- 0) into 0 7.148 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.149 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.150 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.151 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.152 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.153 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 2)) (* (- +nan.0) (* 1 (/ 1 f))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) 7.154 * [backup-simplify]: Simplify (/ -1 (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) 7.154 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in (f n) around 0 7.154 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in n 7.154 * [taylor]: Taking taylor expansion of -1 in n 7.154 * [backup-simplify]: Simplify -1 into -1 7.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n 7.154 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 7.154 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.154 * [taylor]: Taking taylor expansion of n in n 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [backup-simplify]: Simplify (/ 1 1) into 1 7.154 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.154 * [taylor]: Taking taylor expansion of f in n 7.154 * [backup-simplify]: Simplify f into f 7.155 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.155 * [backup-simplify]: Simplify (+ 1 0) into 1 7.155 * [backup-simplify]: Simplify (/ 1 1) into 1 7.156 * [backup-simplify]: Simplify (sqrt 0) into 0 7.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.157 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 7.157 * [taylor]: Taking taylor expansion of -1 in f 7.157 * [backup-simplify]: Simplify -1 into -1 7.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 7.157 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 7.157 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.157 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.157 * [taylor]: Taking taylor expansion of n in f 7.157 * [backup-simplify]: Simplify n into n 7.157 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.157 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.158 * [taylor]: Taking taylor expansion of f in f 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify 1 into 1 7.158 * [backup-simplify]: Simplify (/ 1 1) into 1 7.158 * [backup-simplify]: Simplify (- 1) into -1 7.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.159 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.159 * [backup-simplify]: Simplify (sqrt 0) into 0 7.160 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.160 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 7.160 * [taylor]: Taking taylor expansion of -1 in f 7.160 * [backup-simplify]: Simplify -1 into -1 7.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 7.160 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 7.160 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.160 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.160 * [taylor]: Taking taylor expansion of n in f 7.160 * [backup-simplify]: Simplify n into n 7.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.160 * [taylor]: Taking taylor expansion of f in f 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 1 into 1 7.160 * [backup-simplify]: Simplify (/ 1 1) into 1 7.161 * [backup-simplify]: Simplify (- 1) into -1 7.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.161 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.161 * [backup-simplify]: Simplify (sqrt 0) into 0 7.162 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.162 * [backup-simplify]: Simplify (* -1 0) into 0 7.162 * [taylor]: Taking taylor expansion of 0 in n 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 7.163 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.163 * [taylor]: Taking taylor expansion of +nan.0 in n 7.164 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.164 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.164 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.164 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.165 * [backup-simplify]: Simplify (- 0) into 0 7.165 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.165 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 7.166 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 7.166 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 7.166 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 7.166 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 7.166 * [taylor]: Taking taylor expansion of +nan.0 in n 7.166 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.166 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 7.166 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.166 * [taylor]: Taking taylor expansion of +nan.0 in n 7.166 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.166 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.166 * [taylor]: Taking taylor expansion of n in n 7.166 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (/ 1 1) into 1 7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.168 * [backup-simplify]: Simplify (- 0) into 0 7.168 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.169 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.169 * [backup-simplify]: Simplify (- 0) into 0 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (- 0) into 0 7.171 * [backup-simplify]: Simplify (+ 0 0) into 0 7.171 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 7.172 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 7.173 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 7.173 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 7.173 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 7.173 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.173 * [taylor]: Taking taylor expansion of +nan.0 in n 7.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.173 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.173 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.173 * [taylor]: Taking taylor expansion of n in n 7.173 * [backup-simplify]: Simplify 0 into 0 7.173 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (* 1 1) into 1 7.173 * [backup-simplify]: Simplify (/ 1 1) into 1 7.173 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 7.173 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 7.173 * [taylor]: Taking taylor expansion of +nan.0 in n 7.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.173 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 7.174 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.174 * [taylor]: Taking taylor expansion of +nan.0 in n 7.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.174 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.174 * [taylor]: Taking taylor expansion of n in n 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.174 * [backup-simplify]: Simplify (/ 1 1) into 1 7.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.177 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.177 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.178 * [backup-simplify]: Simplify (- 0) into 0 7.178 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.179 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.179 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.180 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.180 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.181 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 2)) (* (- +nan.0) (* 1 (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) 7.181 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 7.181 * [backup-simplify]: Simplify (sqrt (- f n)) into (sqrt (- f n)) 7.181 * [approximate]: Taking taylor expansion of (sqrt (- f n)) in (f n) around 0 7.181 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in n 7.181 * [taylor]: Taking taylor expansion of (- f n) in n 7.181 * [taylor]: Taking taylor expansion of f in n 7.181 * [backup-simplify]: Simplify f into f 7.181 * [taylor]: Taking taylor expansion of n in n 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.182 * [backup-simplify]: Simplify (- 0) into 0 7.182 * [backup-simplify]: Simplify (+ f 0) into f 7.182 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 7.182 * [backup-simplify]: Simplify (- 1) into -1 7.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.182 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt f))) into (* -1/2 (sqrt (/ 1 f))) 7.182 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 7.182 * [taylor]: Taking taylor expansion of (- f n) in f 7.182 * [taylor]: Taking taylor expansion of f in f 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.182 * [taylor]: Taking taylor expansion of n in f 7.182 * [backup-simplify]: Simplify n into n 7.183 * [backup-simplify]: Simplify (- n) into (- n) 7.183 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.183 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.183 * [backup-simplify]: Simplify (- 0) into 0 7.183 * [backup-simplify]: Simplify (+ 1 0) into 1 7.183 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 7.183 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 7.183 * [taylor]: Taking taylor expansion of (- f n) in f 7.183 * [taylor]: Taking taylor expansion of f in f 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.183 * [taylor]: Taking taylor expansion of n in f 7.183 * [backup-simplify]: Simplify n into n 7.183 * [backup-simplify]: Simplify (- n) into (- n) 7.183 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.183 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.184 * [backup-simplify]: Simplify (- 0) into 0 7.184 * [backup-simplify]: Simplify (+ 1 0) into 1 7.184 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 7.184 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.184 * [taylor]: Taking taylor expansion of (- n) in n 7.184 * [taylor]: Taking taylor expansion of n in n 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.184 * [backup-simplify]: Simplify (- 0) into 0 7.185 * [backup-simplify]: Simplify (- 1) into -1 7.185 * [backup-simplify]: Simplify (sqrt 0) into 0 7.185 * [backup-simplify]: Simplify (- 1) into -1 7.187 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- n))) in n 7.187 * [taylor]: Taking taylor expansion of 1/2 in n 7.187 * [backup-simplify]: Simplify 1/2 into 1/2 7.187 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.187 * [taylor]: Taking taylor expansion of (- n) in n 7.187 * [taylor]: Taking taylor expansion of n in n 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 1 into 1 7.187 * [backup-simplify]: Simplify (- 0) into 0 7.188 * [backup-simplify]: Simplify (- 1) into -1 7.188 * [backup-simplify]: Simplify (sqrt 0) into 0 7.188 * [backup-simplify]: Simplify (- 1) into -1 7.189 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.189 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 7.190 * [backup-simplify]: Simplify (- 0) into 0 7.191 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.193 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.193 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.193 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.194 * [backup-simplify]: Simplify (- 0) into 0 7.194 * [backup-simplify]: Simplify (+ 0 0) into 0 7.194 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 7.194 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (sqrt (- n)) 3)) in n 7.194 * [taylor]: Taking taylor expansion of -1/8 in n 7.194 * [backup-simplify]: Simplify -1/8 into -1/8 7.194 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 7.194 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.194 * [taylor]: Taking taylor expansion of (- n) in n 7.194 * [taylor]: Taking taylor expansion of n in n 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 1 into 1 7.195 * [backup-simplify]: Simplify (- 0) into 0 7.195 * [backup-simplify]: Simplify (- 1) into -1 7.195 * [backup-simplify]: Simplify (sqrt 0) into 0 7.195 * [backup-simplify]: Simplify (- 1) into -1 7.196 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.197 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.197 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.197 * [backup-simplify]: Simplify (/ -1/8 +nan.0) into +nan.0 7.197 * [backup-simplify]: Simplify (- 0) into 0 7.198 * [backup-simplify]: Simplify (- 0) into 0 7.200 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.200 * [backup-simplify]: Simplify (- 0) into 0 7.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.206 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.207 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 7.209 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 7.209 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.212 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 7.214 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 7.216 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.218 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 7.221 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.227 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.227 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.228 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 7.228 * [backup-simplify]: Simplify (sqrt (- (/ 1 f) (/ 1 n))) into (sqrt (- (/ 1 f) (/ 1 n))) 7.228 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 7.228 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in n 7.228 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.228 * [taylor]: Taking taylor expansion of f in n 7.228 * [backup-simplify]: Simplify f into f 7.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.228 * [taylor]: Taking taylor expansion of n in n 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (/ 1 1) into 1 7.229 * [backup-simplify]: Simplify (- 1) into -1 7.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.229 * [backup-simplify]: Simplify (sqrt 0) into 0 7.230 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.230 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 7.230 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.230 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.230 * [taylor]: Taking taylor expansion of f in f 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (/ 1 1) into 1 7.230 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.230 * [taylor]: Taking taylor expansion of n in f 7.230 * [backup-simplify]: Simplify n into n 7.230 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.231 * [backup-simplify]: Simplify (+ 1 0) into 1 7.231 * [backup-simplify]: Simplify (sqrt 0) into 0 7.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.232 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 7.232 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.232 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.232 * [taylor]: Taking taylor expansion of f in f 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ 1 1) into 1 7.232 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.232 * [taylor]: Taking taylor expansion of n in f 7.232 * [backup-simplify]: Simplify n into n 7.232 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.233 * [backup-simplify]: Simplify (+ 1 0) into 1 7.233 * [backup-simplify]: Simplify (sqrt 0) into 0 7.234 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.234 * [taylor]: Taking taylor expansion of 0 in n 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [taylor]: Taking taylor expansion of +nan.0 in n 7.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.234 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.236 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 7.236 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 7.236 * [taylor]: Taking taylor expansion of +nan.0 in n 7.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.236 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 7.236 * [taylor]: Taking taylor expansion of +nan.0 in n 7.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.236 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.236 * [taylor]: Taking taylor expansion of n in n 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 1 into 1 7.236 * [backup-simplify]: Simplify (/ 1 1) into 1 7.237 * [backup-simplify]: Simplify (+ 0 1) into 1 7.237 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.237 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.239 * [backup-simplify]: Simplify (- 0) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 7.240 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 7.240 * [taylor]: Taking taylor expansion of +nan.0 in n 7.240 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.240 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 7.240 * [taylor]: Taking taylor expansion of +nan.0 in n 7.240 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.240 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 7.240 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.240 * [taylor]: Taking taylor expansion of +nan.0 in n 7.240 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.240 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.240 * [taylor]: Taking taylor expansion of n in n 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 1 into 1 7.241 * [backup-simplify]: Simplify (/ 1 1) into 1 7.241 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.241 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.242 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.243 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 7.243 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.244 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 7.244 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (/ 1 n) (/ 1 f))) 7.244 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.244 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in n 7.244 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.244 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.244 * [taylor]: Taking taylor expansion of n in n 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 1 into 1 7.244 * [backup-simplify]: Simplify (/ 1 1) into 1 7.244 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.244 * [taylor]: Taking taylor expansion of f in n 7.245 * [backup-simplify]: Simplify f into f 7.245 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.245 * [backup-simplify]: Simplify (+ 1 0) into 1 7.245 * [backup-simplify]: Simplify (sqrt 0) into 0 7.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.247 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 7.247 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.247 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.247 * [taylor]: Taking taylor expansion of n in f 7.247 * [backup-simplify]: Simplify n into n 7.247 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.247 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.247 * [taylor]: Taking taylor expansion of f in f 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (/ 1 1) into 1 7.248 * [backup-simplify]: Simplify (- 1) into -1 7.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.249 * [backup-simplify]: Simplify (sqrt 0) into 0 7.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.250 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 7.250 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.250 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.250 * [taylor]: Taking taylor expansion of n in f 7.250 * [backup-simplify]: Simplify n into n 7.250 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.250 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.250 * [taylor]: Taking taylor expansion of f in f 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 1 into 1 7.251 * [backup-simplify]: Simplify (/ 1 1) into 1 7.251 * [backup-simplify]: Simplify (- 1) into -1 7.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.252 * [backup-simplify]: Simplify (sqrt 0) into 0 7.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.253 * [taylor]: Taking taylor expansion of 0 in n 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [taylor]: Taking taylor expansion of +nan.0 in n 7.253 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.255 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.256 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 7.256 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 7.256 * [taylor]: Taking taylor expansion of +nan.0 in n 7.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.256 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 7.256 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.256 * [taylor]: Taking taylor expansion of n in n 7.256 * [backup-simplify]: Simplify 0 into 0 7.256 * [backup-simplify]: Simplify 1 into 1 7.257 * [backup-simplify]: Simplify (/ 1 1) into 1 7.257 * [taylor]: Taking taylor expansion of +nan.0 in n 7.257 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.257 * [backup-simplify]: Simplify (+ 1 0) into 1 7.258 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.260 * [backup-simplify]: Simplify (+ 0 0) into 0 7.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 7.260 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 7.260 * [taylor]: Taking taylor expansion of +nan.0 in n 7.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.260 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 7.260 * [taylor]: Taking taylor expansion of +nan.0 in n 7.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 7.260 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.260 * [taylor]: Taking taylor expansion of +nan.0 in n 7.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.261 * [taylor]: Taking taylor expansion of n in n 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [backup-simplify]: Simplify (/ 1 1) into 1 7.261 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.262 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.263 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.264 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 7.264 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.264 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 7.264 * * * [progress]: simplifying candidates 7.271 * [simplify]: Simplifying: (expm1 (/ (+ f n) (sqrt (- f n)))) (log1p (/ (+ f n) (sqrt (- f n)))) (- (log (+ f n)) (log (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (exp (/ (+ f n) (sqrt (- f n)))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (cbrt (/ (+ f n) (sqrt (- f n)))) (* (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (- (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1)) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ (sqrt f) (sqrt n)))) (/ (cbrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1)) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt 1)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (+ (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (sqrt 1)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) 1) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- (sqrt f) (sqrt n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 1) (/ (+ f n) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) 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f n))))) (* (sqrt (/ -1 (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f 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(* (cbrt -1) (cbrt -1)) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt -1) (sqrt (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (sqrt (- f n)))) (/ (cbrt -1) (sqrt (sqrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt 1)) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (+ (sqrt f) (sqrt n)))) (/ (cbrt -1) (sqrt (- (sqrt f) (sqrt n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt 1)) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (sqrt (- f n)))) (/ (cbrt -1) (sqrt (sqrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (sqrt (- f n))) (/ (sqrt -1) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (sqrt -1) (cbrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt -1) (sqrt (cbrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt 1)) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (+ (sqrt f) (sqrt n)))) (/ (sqrt -1) (sqrt (- (sqrt f) (sqrt n)))) (/ (sqrt -1) (sqrt 1)) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) 1) (/ (sqrt -1) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ -1 (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ -1 (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ -1 (sqrt (sqrt (- f n)))) (/ 1 (sqrt 1)) (/ -1 (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt f) (sqrt n)))) (/ -1 (sqrt (- (sqrt f) (sqrt n)))) (/ 1 (sqrt 1)) (/ -1 (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ -1 (sqrt (sqrt (- f n)))) (/ 1 1) (/ -1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (sqrt (- f n)) -1) (/ -1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ -1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ -1 (sqrt (sqrt (- f n)))) (/ -1 (sqrt 1)) (/ -1 (sqrt (+ (sqrt f) (sqrt n)))) (/ -1 (sqrt 1)) (/ -1 (sqrt (sqrt (- f n)))) (/ -1 1) (/ (sqrt (- f n)) (cbrt -1)) (/ (sqrt (- f n)) (sqrt -1)) (/ (sqrt (- f n)) -1) (/ -1 (sqrt (- (pow f 3) (pow n 3)))) (/ -1 (sqrt (- (* f f) (* n n)))) (expm1 (sqrt (- f n))) (log1p (sqrt (- f n))) (log (sqrt (- f n))) (exp (sqrt (- f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n))) (sqrt (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n))) (sqrt (sqrt (- f n))) (sqrt (sqrt (- f n))) (sqrt 1) (sqrt (- f n)) (sqrt (+ (sqrt f) (sqrt n))) (sqrt (- (sqrt f) (sqrt n))) (sqrt 1) (sqrt (- f n)) (sqrt (- (pow f 3) (pow n 3))) (sqrt (+ (* f f) (+ (* n n) (* f n)))) (sqrt (- (* f f) (* n n))) (sqrt (+ f n)) (/ 1 2) (sqrt (sqrt (- f n))) (sqrt (sqrt (- f n))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 1 -1 -1 (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 7.278 * * [simplify]: iteration 0: 263 enodes 7.358 * * [simplify]: iteration 1: 745 enodes 7.753 * * [simplify]: iteration 2: 2399 enodes 8.668 * * [simplify]: iteration complete: 5001 enodes 8.669 * * [simplify]: Extracting #0: cost 164 inf + 0 8.670 * * [simplify]: Extracting #1: cost 699 inf + 44 8.675 * * [simplify]: Extracting #2: cost 1416 inf + 2082 8.687 * * [simplify]: Extracting #3: cost 1613 inf + 20873 8.733 * * [simplify]: Extracting #4: cost 812 inf + 167397 8.809 * * [simplify]: Extracting #5: cost 135 inf + 347833 8.900 * * [simplify]: Extracting #6: cost 5 inf + 384256 8.988 * * [simplify]: Extracting #7: cost 0 inf + 385710 9.075 * [simplify]: Simplified to: (expm1 (/ (+ f n) (sqrt (- f n)))) (log1p (/ (+ f n) (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (exp (/ (+ f n) (sqrt (- f n)))) (/ (* (+ f n) (+ f n)) (/ (* (sqrt (- f n)) (- f n)) (+ f n))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (cbrt (/ (+ f n) (sqrt (- f n)))) (/ (* (+ f n) (+ f n)) (/ (* (sqrt (- f n)) (- f n)) (+ f n))) (sqrt (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (- (sqrt (- f n))) (* (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (sqrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (fabs (cbrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (cbrt (- f n)))) (* (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ (sqrt n) (sqrt f)))) (/ (cbrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (/ (sqrt (+ f n)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (fabs (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (fabs (cbrt (- f n)))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) 1 (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt n) (sqrt f)))) (/ (+ f n) (sqrt (- (sqrt f) (sqrt n)))) 1 (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) 1 (/ (+ f n) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (fabs (cbrt (- f n)))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) 1 (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt n) (sqrt f)))) (/ (+ f n) (sqrt (- (sqrt f) (sqrt n)))) 1 (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) 1 (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (sqrt (- f n)) (+ f n)) (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))) (/ (+ f n) (fabs (cbrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (+ f n) (/ (+ f n) (sqrt (+ (sqrt n) (sqrt f)))) (+ f n) (/ (+ f n) (sqrt (sqrt (- f n)))) (+ f n) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ 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n)) (+ f n)))) (* (sqrt (- f n)) (- f n))) (/ (- (/ (* (+ f n) (+ f n)) (/ (* (sqrt (- f n)) (- f n)) (+ f n)))) (* (sqrt (- f n)) (- f n))) (* (cbrt (/ (- (/ (+ f n) (sqrt (- f n)))) (sqrt (- f n)))) (cbrt (/ (- (/ (+ f n) (sqrt (- f n)))) (sqrt (- f n))))) (cbrt (/ (- (/ (+ f n) (sqrt (- f n)))) (sqrt (- f n)))) (/ (- (/ (* (+ f n) (+ f n)) (/ (* (sqrt (- f n)) (- f n)) (+ f n)))) (* (sqrt (- f n)) (- f n))) (sqrt (/ (- (/ (+ f n) (sqrt (- f n)))) (sqrt (- f n)))) (sqrt (/ (- (/ (+ f n) (sqrt (- f n)))) (sqrt (- f n)))) (- (+ f n)) (- f n) (* (sqrt (/ -1 (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (sqrt (/ -1 (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (sqrt (/ -1 (sqrt (- f n))))) (* (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (sqrt (/ -1 (sqrt (- f n))))) (* (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (sqrt (/ -1 (sqrt (- f n))))) (* (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (sqrt (/ -1 (sqrt (- f n))))) (* (sqrt (/ (+ f n) (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n))))) (* (sqrt (/ (+ f n) (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n))))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (* (sqrt (/ (+ f n) (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n))))) (* (sqrt (/ (+ f n) (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n))))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (/ (* (sqrt -1) (sqrt (+ f n))) (sqrt (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (- (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f 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f) (- (/ +nan.0 (* f f)) (/ +nan.0 (* f (* f f))))) (fma +nan.0 (/ -1 f) (- (/ +nan.0 (* f f)) (/ +nan.0 (* f (* f f))))) (- (- (fma f (* f +nan.0) (* f +nan.0)) (* +nan.0 n))) (- (fma (/ (/ n f) f) +nan.0 (fma (- (/ n f)) +nan.0 +nan.0))) (- (fma (/ (/ n f) f) +nan.0 (fma (- (/ n f)) +nan.0 +nan.0))) 9.091 * * * [progress]: adding candidates to table 10.212 * [progress]: [Phase 3 of 3] Extracting. 10.213 * * [regime]: Finding splitpoints for: (# # #) 10.214 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 10.214 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 10.248 * * * * [regimes]: Trying to branch on n from (# # #) 10.283 * * * * [regimes]: Trying to branch on f from (# # #) 10.314 * * * [regime]: Found split indices: #