0.543 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.061 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.062 * * [simplify]: Extracting # 2 : cost 0 0.062 * * [simplify]: Extracting # 3 : cost 0 0.062 * * [simplify]: Extracting # 4 : cost 0 0.062 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.068 * * [simplify]: Extracting # 0 : cost 0 0.068 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: Extracting # 1 : cost 0 0.071 * * [simplify]: Extracting # 2 : cost 0 0.071 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.074 * * [simplify]: Extracting # 0 : cost 0 0.074 * * [simplify]: Extracting # 1 : cost 0 0.074 * * [simplify]: Extracting # 2 : cost 0 0.074 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 0.078 * * [simplify]: Extracting # 1 : cost 0 0.078 * * [simplify]: Extracting # 2 : cost 0 0.078 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.114 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.117 * * * [progress]: localizing error 0.126 * * * [progress]: generating rewritten candidates 0.126 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.169 * * * [progress]: generating series expansions 0.169 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.174 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.174 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.174 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.175 * [taylor]: Taking taylor expansion of -1 in n 0.175 * [backup-simplify]: Simplify -1 into -1 0.175 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.175 * [taylor]: Taking taylor expansion of (+ n f) in n 0.175 * [taylor]: Taking taylor expansion of n in n 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of f in n 0.175 * [backup-simplify]: Simplify f into f 0.175 * [taylor]: Taking taylor expansion of (- f n) in n 0.175 * [taylor]: Taking taylor expansion of f in n 0.175 * [backup-simplify]: Simplify f into f 0.175 * [taylor]: Taking taylor expansion of n in n 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ 0 f) into f 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ f 0) into f 0.176 * [backup-simplify]: Simplify (/ f f) into 1 0.176 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.176 * [taylor]: Taking taylor expansion of -1 in f 0.176 * [backup-simplify]: Simplify -1 into -1 0.176 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.176 * [taylor]: Taking taylor expansion of (+ n f) in f 0.176 * [taylor]: Taking taylor expansion of n in f 0.176 * [backup-simplify]: Simplify n into n 0.176 * [taylor]: Taking taylor expansion of f in f 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of (- f n) in f 0.176 * [taylor]: Taking taylor expansion of f in f 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of n in f 0.176 * [backup-simplify]: Simplify n into n 0.176 * [backup-simplify]: Simplify (+ n 0) into n 0.176 * [backup-simplify]: Simplify (- n) into (- n) 0.176 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.176 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.176 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.176 * [taylor]: Taking taylor expansion of -1 in f 0.176 * [backup-simplify]: Simplify -1 into -1 0.177 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.177 * [taylor]: Taking taylor expansion of (+ n f) in f 0.177 * [taylor]: Taking taylor expansion of n in f 0.177 * [backup-simplify]: Simplify n into n 0.177 * [taylor]: Taking taylor expansion of f in f 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (- f n) in f 0.177 * [taylor]: Taking taylor expansion of f in f 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of n in f 0.177 * [backup-simplify]: Simplify n into n 0.177 * [backup-simplify]: Simplify (+ n 0) into n 0.177 * [backup-simplify]: Simplify (- n) into (- n) 0.177 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.177 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.178 * [backup-simplify]: Simplify (* -1 -1) into 1 0.178 * [taylor]: Taking taylor expansion of 1 in n 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ 0 1) into 1 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.180 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.180 * [taylor]: Taking taylor expansion of 2 in n 0.180 * [backup-simplify]: Simplify 2 into 2 0.180 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.180 * [taylor]: Taking taylor expansion of n in n 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.184 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.184 * [taylor]: Taking taylor expansion of 2 in n 0.184 * [backup-simplify]: Simplify 2 into 2 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.184 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.184 * [taylor]: Taking taylor expansion of n in n 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [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)))) 0.208 * [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))) 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.208 * [taylor]: Taking taylor expansion of 2 in n 0.208 * [backup-simplify]: Simplify 2 into 2 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.208 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.208 * [taylor]: Taking taylor expansion of n in n 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.218 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.218 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.218 * [taylor]: Taking taylor expansion of -1 in n 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.218 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.218 * [taylor]: Taking taylor expansion of f in n 0.218 * [backup-simplify]: Simplify f into f 0.218 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.218 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.218 * [taylor]: Taking taylor expansion of n in n 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.219 * [taylor]: Taking taylor expansion of f in n 0.219 * [backup-simplify]: Simplify f into f 0.219 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.219 * [taylor]: Taking taylor expansion of n in n 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (+ 0 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.222 * [taylor]: Taking taylor expansion of -1 in f 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.222 * [taylor]: Taking taylor expansion of f in f 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.222 * [taylor]: Taking taylor expansion of n in f 0.222 * [backup-simplify]: Simplify n into n 0.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.222 * [taylor]: Taking taylor expansion of f in f 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.223 * [taylor]: Taking taylor expansion of n in f 0.223 * [backup-simplify]: Simplify n into n 0.223 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.224 * [taylor]: Taking taylor expansion of -1 in f 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.225 * [taylor]: Taking taylor expansion of f in f 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.225 * [taylor]: Taking taylor expansion of n in f 0.225 * [backup-simplify]: Simplify n into n 0.225 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.225 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.225 * [taylor]: Taking taylor expansion of f in f 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.226 * [taylor]: Taking taylor expansion of n in f 0.226 * [backup-simplify]: Simplify n into n 0.226 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (* -1 1) into -1 0.228 * [taylor]: Taking taylor expansion of -1 in n 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.229 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.229 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.230 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.230 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.230 * [taylor]: Taking taylor expansion of 2 in n 0.230 * [backup-simplify]: Simplify 2 into 2 0.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.230 * [taylor]: Taking taylor expansion of n in n 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.234 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.234 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.234 * [taylor]: Taking taylor expansion of 2 in n 0.234 * [backup-simplify]: Simplify 2 into 2 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.234 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.234 * [taylor]: Taking taylor expansion of n in n 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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))) 0.242 * [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)))) 0.242 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.243 * [taylor]: Taking taylor expansion of 2 in n 0.243 * [backup-simplify]: Simplify 2 into 2 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.243 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.243 * [taylor]: Taking taylor expansion of n in n 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify -1 into -1 0.250 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.250 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.250 * [taylor]: Taking taylor expansion of f in n 0.250 * [backup-simplify]: Simplify f into f 0.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.250 * [taylor]: Taking taylor expansion of n in n 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.250 * [taylor]: Taking taylor expansion of n in n 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.250 * [taylor]: Taking taylor expansion of f in n 0.250 * [backup-simplify]: Simplify f into f 0.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.251 * [backup-simplify]: Simplify (+ 0 1) into 1 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.251 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.251 * [taylor]: Taking taylor expansion of f in f 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.252 * [taylor]: Taking taylor expansion of n in f 0.252 * [backup-simplify]: Simplify n into n 0.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.252 * [taylor]: Taking taylor expansion of n in f 0.252 * [backup-simplify]: Simplify n into n 0.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.252 * [taylor]: Taking taylor expansion of f in f 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (- 1) into -1 0.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.253 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.253 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.253 * [taylor]: Taking taylor expansion of f in f 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.254 * [taylor]: Taking taylor expansion of n in f 0.254 * [backup-simplify]: Simplify n into n 0.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.254 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.254 * [taylor]: Taking taylor expansion of n in f 0.254 * [backup-simplify]: Simplify n into n 0.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.254 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.254 * [taylor]: Taking taylor expansion of f in f 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (- 1) into -1 0.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.255 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.255 * [taylor]: Taking taylor expansion of -1 in n 0.255 * [backup-simplify]: Simplify -1 into -1 0.255 * [backup-simplify]: Simplify -1 into -1 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.257 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.257 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.257 * [taylor]: Taking taylor expansion of 2 in n 0.257 * [backup-simplify]: Simplify 2 into 2 0.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.257 * [taylor]: Taking taylor expansion of n in n 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.264 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.264 * [taylor]: Taking taylor expansion of 2 in n 0.264 * [backup-simplify]: Simplify 2 into 2 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.264 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [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)))) 0.278 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.278 * [taylor]: Taking taylor expansion of 2 in n 0.278 * [backup-simplify]: Simplify 2 into 2 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.278 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * * * [progress]: simplifying candidates 0.291 * [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 0.296 * * [simplify]: Extracting # 0 : cost 0 0.296 * * [simplify]: Extracting # 1 : cost 0 0.296 * * [simplify]: Extracting # 2 : cost 0 0.297 * * [simplify]: Extracting # 3 : cost 0 0.297 * * [simplify]: Extracting # 4 : cost 0 0.297 * * [simplify]: Extracting # 5 : cost 0 0.298 * * [simplify]: Extracting # 6 : cost 0 0.298 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.367 * * [simplify]: Extracting # 0 : cost 0 0.367 * * [simplify]: Extracting # 1 : cost 0 0.368 * * [simplify]: Extracting # 2 : cost 0 0.369 * * [simplify]: Extracting # 3 : cost 0 0.369 * * [simplify]: Extracting # 4 : cost 0 0.370 * * [simplify]: iteration 1 : 292 enodes (cost 1395 ) 0.457 * * [simplify]: Extracting # 0 : cost 0 0.457 * * [simplify]: Extracting # 1 : cost 0 0.458 * * [simplify]: Extracting # 2 : cost 0 0.459 * * [simplify]: Extracting # 3 : cost 0 0.460 * * [simplify]: iteration 2 : 702 enodes (cost 1365 ) 1.049 * * [simplify]: Extracting # 0 : cost 0 1.053 * * [simplify]: Extracting # 1 : cost 0 1.057 * * [simplify]: Extracting # 2 : cost 0 1.061 * * [simplify]: Extracting # 3 : cost 0 1.064 * * [simplify]: Extracting # 4 : cost 0 1.068 * * [simplify]: iteration 3 : 1907 enodes (cost 1357 ) 3.402 * * [simplify]: Extracting # 0 : cost 0 3.414 * * [simplify]: Extracting # 1 : cost 0 3.422 * * [simplify]: Extracting # 2 : cost 0 3.430 * * [simplify]: Extracting # 3 : cost 0 3.438 * * [simplify]: Extracting # 4 : cost 0 3.446 * * [simplify]: Extracting # 5 : cost 0 3.455 * * [simplify]: iteration done: 5000 enodes (cost 1357 ) 3.456 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ n f) (- n f) 0 (/ (+ 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)))) (/ (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)))) (/ (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))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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)))) (/ (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)))) (/ (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))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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))) (/ (- (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))) (/ (- (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)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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)) (/ (- (+ f n)) (+ (sqrt f) (sqrt 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) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 3.458 * * * [progress]: adding candidates to table 3.722 * * [progress]: iteration 2 / 4 3.722 * * * [progress]: picking best candidate 3.737 * * * * [pick]: Picked # 3.737 * * * [progress]: localizing error 3.752 * * * [progress]: generating rewritten candidates 3.752 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.806 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.852 * * * [progress]: generating series expansions 3.852 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.852 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.853 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.853 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.853 * [taylor]: Taking taylor expansion of -1 in n 3.853 * [backup-simplify]: Simplify -1 into -1 3.853 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.853 * [taylor]: Taking taylor expansion of (+ n f) in n 3.853 * [taylor]: Taking taylor expansion of n in n 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [taylor]: Taking taylor expansion of f in n 3.853 * [backup-simplify]: Simplify f into f 3.853 * [taylor]: Taking taylor expansion of (- f n) in n 3.853 * [taylor]: Taking taylor expansion of f in n 3.853 * [backup-simplify]: Simplify f into f 3.853 * [taylor]: Taking taylor expansion of n in n 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (+ 0 f) into f 3.853 * [backup-simplify]: Simplify (- 0) into 0 3.853 * [backup-simplify]: Simplify (+ f 0) into f 3.853 * [backup-simplify]: Simplify (/ f f) into 1 3.853 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.853 * [taylor]: Taking taylor expansion of -1 in f 3.854 * [backup-simplify]: Simplify -1 into -1 3.854 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.854 * [taylor]: Taking taylor expansion of (+ n f) in f 3.854 * [taylor]: Taking taylor expansion of n in f 3.854 * [backup-simplify]: Simplify n into n 3.854 * [taylor]: Taking taylor expansion of f in f 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (- f n) in f 3.854 * [taylor]: Taking taylor expansion of f in f 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of n in f 3.854 * [backup-simplify]: Simplify n into n 3.854 * [backup-simplify]: Simplify (+ n 0) into n 3.854 * [backup-simplify]: Simplify (- n) into (- n) 3.854 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.854 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.854 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.854 * [taylor]: Taking taylor expansion of -1 in f 3.854 * [backup-simplify]: Simplify -1 into -1 3.854 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.854 * [taylor]: Taking taylor expansion of (+ n f) in f 3.854 * [taylor]: Taking taylor expansion of n in f 3.854 * [backup-simplify]: Simplify n into n 3.854 * [taylor]: Taking taylor expansion of f in f 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (- f n) in f 3.854 * [taylor]: Taking taylor expansion of f in f 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of n in f 3.854 * [backup-simplify]: Simplify n into n 3.854 * [backup-simplify]: Simplify (+ n 0) into n 3.854 * [backup-simplify]: Simplify (- n) into (- n) 3.854 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.854 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.855 * [backup-simplify]: Simplify (* -1 -1) into 1 3.855 * [taylor]: Taking taylor expansion of 1 in n 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (+ 0 1) into 1 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.856 * [backup-simplify]: Simplify (+ 1 0) into 1 3.856 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.856 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.856 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.856 * [taylor]: Taking taylor expansion of 2 in n 3.856 * [backup-simplify]: Simplify 2 into 2 3.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.856 * [taylor]: Taking taylor expansion of n in n 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (/ 1 1) into 1 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [backup-simplify]: Simplify (- 0) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.859 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.859 * [taylor]: Taking taylor expansion of 2 in n 3.859 * [backup-simplify]: Simplify 2 into 2 3.859 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.859 * [taylor]: Taking taylor expansion of (pow n 2) 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 3.860 * [backup-simplify]: Simplify (* 1 1) into 1 3.860 * [backup-simplify]: Simplify (/ 1 1) into 1 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify (- 0) into 0 3.864 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [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)))) 3.865 * [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))) 3.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.865 * [taylor]: Taking taylor expansion of 2 in n 3.865 * [backup-simplify]: Simplify 2 into 2 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.865 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.865 * [taylor]: Taking taylor expansion of n in n 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.871 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.871 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.871 * [taylor]: Taking taylor expansion of -1 in n 3.871 * [backup-simplify]: Simplify -1 into -1 3.871 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.871 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.871 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.871 * [taylor]: Taking taylor expansion of f in n 3.871 * [backup-simplify]: Simplify f into f 3.871 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.872 * [taylor]: Taking taylor expansion of n in n 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.872 * [taylor]: Taking taylor expansion of f in n 3.872 * [backup-simplify]: Simplify f into f 3.872 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.872 * [taylor]: Taking taylor expansion of n in n 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [backup-simplify]: Simplify (+ 0 1) into 1 3.873 * [backup-simplify]: Simplify (- 1) into -1 3.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.874 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.874 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.874 * [taylor]: Taking taylor expansion of -1 in f 3.874 * [backup-simplify]: Simplify -1 into -1 3.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.874 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.874 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.874 * [taylor]: Taking taylor expansion of n in f 3.875 * [backup-simplify]: Simplify n into n 3.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.875 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.875 * [taylor]: Taking taylor expansion of f in f 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.875 * [taylor]: Taking taylor expansion of n in f 3.875 * [backup-simplify]: Simplify n into n 3.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.876 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (+ 1 0) into 1 3.877 * [backup-simplify]: Simplify (/ 1 1) into 1 3.877 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.877 * [taylor]: Taking taylor expansion of -1 in f 3.877 * [backup-simplify]: Simplify -1 into -1 3.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.877 * [taylor]: Taking taylor expansion of f in f 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (/ 1 1) into 1 3.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.877 * [taylor]: Taking taylor expansion of n in f 3.877 * [backup-simplify]: Simplify n into n 3.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.878 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.878 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.878 * [taylor]: Taking taylor expansion of f in f 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.878 * [taylor]: Taking taylor expansion of n in f 3.878 * [backup-simplify]: Simplify n into n 3.878 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.879 * [backup-simplify]: Simplify (+ 1 0) into 1 3.879 * [backup-simplify]: Simplify (+ 1 0) into 1 3.879 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [backup-simplify]: Simplify (* -1 1) into -1 3.880 * [taylor]: Taking taylor expansion of -1 in n 3.880 * [backup-simplify]: Simplify -1 into -1 3.880 * [backup-simplify]: Simplify -1 into -1 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.882 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.882 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.882 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.883 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.883 * [taylor]: Taking taylor expansion of 2 in n 3.883 * [backup-simplify]: Simplify 2 into 2 3.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.883 * [taylor]: Taking taylor expansion of n in n 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.885 * [backup-simplify]: Simplify (- 0) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.895 * [backup-simplify]: Simplify (- 0) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.897 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.897 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.897 * [taylor]: Taking taylor expansion of 2 in n 3.898 * [backup-simplify]: Simplify 2 into 2 3.898 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.898 * [taylor]: Taking taylor expansion of (pow n 2) 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 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.899 * [backup-simplify]: Simplify (/ 1 1) into 1 3.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.903 * [backup-simplify]: Simplify (- 0) into 0 3.904 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.906 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 0) into 0 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.909 * [backup-simplify]: Simplify (- 0) into 0 3.910 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [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))) 3.913 * [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)))) 3.913 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.913 * [taylor]: Taking taylor expansion of 2 in n 3.913 * [backup-simplify]: Simplify 2 into 2 3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.913 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.913 * [taylor]: Taking taylor expansion of n in n 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (* 1 1) into 1 3.914 * [backup-simplify]: Simplify (* 1 1) into 1 3.914 * [backup-simplify]: Simplify (/ 1 1) into 1 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (- 0) into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify -1 into -1 3.925 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.925 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.925 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.925 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.925 * [taylor]: Taking taylor expansion of f in n 3.925 * [backup-simplify]: Simplify f into f 3.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.925 * [taylor]: Taking taylor expansion of n in n 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.926 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.926 * [taylor]: Taking taylor expansion of n in n 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.927 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.927 * [taylor]: Taking taylor expansion of f in n 3.927 * [backup-simplify]: Simplify f into f 3.927 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.928 * [backup-simplify]: Simplify (+ 0 1) into 1 3.928 * [backup-simplify]: Simplify (+ 1 0) into 1 3.928 * [backup-simplify]: Simplify (/ 1 1) into 1 3.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.929 * [taylor]: Taking taylor expansion of f in f 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.929 * [taylor]: Taking taylor expansion of n in f 3.929 * [backup-simplify]: Simplify n into n 3.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.929 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.929 * [taylor]: Taking taylor expansion of n in f 3.929 * [backup-simplify]: Simplify n into n 3.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.929 * [taylor]: Taking taylor expansion of f in f 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [backup-simplify]: Simplify (+ 1 0) into 1 3.931 * [backup-simplify]: Simplify (- 1) into -1 3.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.931 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.931 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.932 * [taylor]: Taking taylor expansion of f in f 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.932 * [taylor]: Taking taylor expansion of n in f 3.932 * [backup-simplify]: Simplify n into n 3.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.932 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.932 * [taylor]: Taking taylor expansion of n in f 3.932 * [backup-simplify]: Simplify n into n 3.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.932 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.932 * [taylor]: Taking taylor expansion of f in f 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (/ 1 1) into 1 3.933 * [backup-simplify]: Simplify (+ 1 0) into 1 3.933 * [backup-simplify]: Simplify (- 1) into -1 3.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.934 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.934 * [taylor]: Taking taylor expansion of -1 in n 3.934 * [backup-simplify]: Simplify -1 into -1 3.934 * [backup-simplify]: Simplify -1 into -1 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.935 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.935 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.935 * [taylor]: Taking taylor expansion of 2 in n 3.935 * [backup-simplify]: Simplify 2 into 2 3.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.935 * [taylor]: Taking taylor expansion of n in n 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (/ 1 1) into 1 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (- 0) into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.938 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (- 0) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.939 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.939 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.940 * [taylor]: Taking taylor expansion of 2 in n 3.940 * [backup-simplify]: Simplify 2 into 2 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.940 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.940 * [taylor]: Taking taylor expansion of n in n 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (* 1 1) into 1 3.940 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.943 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.945 * [backup-simplify]: Simplify (- 0) into 0 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.946 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (- 0) into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [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)))) 3.949 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.949 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (pow n 3)) in n 3.949 * [taylor]: Taking taylor expansion of (pow n 3) 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 3.949 * [backup-simplify]: Simplify (* 1 1) into 1 3.949 * [backup-simplify]: Simplify (* 1 1) into 1 3.950 * [backup-simplify]: Simplify (/ 1 1) into 1 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (- 0) into 0 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify -1 into -1 3.955 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.955 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.955 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.955 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.955 * [taylor]: Taking taylor expansion of (- f n) in n 3.955 * [taylor]: Taking taylor expansion of f in n 3.955 * [backup-simplify]: Simplify f into f 3.955 * [taylor]: Taking taylor expansion of n in n 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [taylor]: Taking taylor expansion of (+ n f) in n 3.955 * [taylor]: Taking taylor expansion of n in n 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [taylor]: Taking taylor expansion of f in n 3.955 * [backup-simplify]: Simplify f into f 3.956 * [backup-simplify]: Simplify (- 0) into 0 3.956 * [backup-simplify]: Simplify (+ f 0) into f 3.956 * [backup-simplify]: Simplify (+ 0 f) into f 3.956 * [backup-simplify]: Simplify (/ f f) into 1 3.956 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.956 * [taylor]: Taking taylor expansion of (- f n) in f 3.956 * [taylor]: Taking taylor expansion of f in f 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [taylor]: Taking taylor expansion of n in f 3.956 * [backup-simplify]: Simplify n into n 3.956 * [taylor]: Taking taylor expansion of (+ n f) in f 3.956 * [taylor]: Taking taylor expansion of n in f 3.956 * [backup-simplify]: Simplify n into n 3.956 * [taylor]: Taking taylor expansion of f in f 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify (- n) into (- n) 3.956 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.956 * [backup-simplify]: Simplify (+ n 0) into n 3.956 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.956 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.956 * [taylor]: Taking taylor expansion of (- f n) in f 3.956 * [taylor]: Taking taylor expansion of f in f 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [taylor]: Taking taylor expansion of n in f 3.956 * [backup-simplify]: Simplify n into n 3.956 * [taylor]: Taking taylor expansion of (+ n f) in f 3.956 * [taylor]: Taking taylor expansion of n in f 3.956 * [backup-simplify]: Simplify n into n 3.956 * [taylor]: Taking taylor expansion of f in f 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify (- n) into (- n) 3.956 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.956 * [backup-simplify]: Simplify (+ n 0) into n 3.957 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.957 * [taylor]: Taking taylor expansion of -1 in n 3.957 * [backup-simplify]: Simplify -1 into -1 3.957 * [backup-simplify]: Simplify -1 into -1 3.957 * [backup-simplify]: Simplify (- 0) into 0 3.957 * [backup-simplify]: Simplify (+ 1 0) into 1 3.957 * [backup-simplify]: Simplify (+ 0 1) into 1 3.958 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.958 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.958 * [taylor]: Taking taylor expansion of 2 in n 3.958 * [backup-simplify]: Simplify 2 into 2 3.958 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.958 * [taylor]: Taking taylor expansion of n in n 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.958 * [backup-simplify]: Simplify (/ 1 1) into 1 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (- 0) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.960 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.960 * [taylor]: Taking taylor expansion of 2 in n 3.960 * [backup-simplify]: Simplify 2 into 2 3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.960 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.960 * [taylor]: Taking taylor expansion of n in n 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 1 into 1 3.960 * [backup-simplify]: Simplify (* 1 1) into 1 3.960 * [backup-simplify]: Simplify (/ 1 1) into 1 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.963 * [backup-simplify]: Simplify (- 0) into 0 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify (- 0) into 0 3.965 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [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))) 3.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.965 * [taylor]: Taking taylor expansion of 2 in n 3.965 * [backup-simplify]: Simplify 2 into 2 3.965 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.965 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.965 * [taylor]: Taking taylor expansion of n in n 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (* 1 1) into 1 3.966 * [backup-simplify]: Simplify (* 1 1) into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.967 * [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 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 1)))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify -1 into -1 3.971 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.971 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.971 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.971 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.971 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.971 * [taylor]: Taking taylor expansion of f in n 3.971 * [backup-simplify]: Simplify f into f 3.971 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.971 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.971 * [taylor]: Taking taylor expansion of n in n 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.972 * [taylor]: Taking taylor expansion of f in n 3.972 * [backup-simplify]: Simplify f into f 3.972 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.972 * [taylor]: Taking taylor expansion of n in n 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (- 1) into -1 3.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.973 * [backup-simplify]: Simplify (+ 0 1) into 1 3.973 * [backup-simplify]: Simplify (/ -1 1) into -1 3.973 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.973 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.973 * [taylor]: Taking taylor expansion of f in f 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.974 * [taylor]: Taking taylor expansion of n in f 3.974 * [backup-simplify]: Simplify n into n 3.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.974 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.974 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.974 * [taylor]: Taking taylor expansion of f in f 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.974 * [taylor]: Taking taylor expansion of n in f 3.974 * [backup-simplify]: Simplify n into n 3.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.974 * [backup-simplify]: Simplify (+ 1 0) into 1 3.975 * [backup-simplify]: Simplify (+ 1 0) into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.975 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.975 * [taylor]: Taking taylor expansion of f in f 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.975 * [taylor]: Taking taylor expansion of n in f 3.975 * [backup-simplify]: Simplify n into n 3.975 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.975 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.975 * [taylor]: Taking taylor expansion of f in f 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.976 * [taylor]: Taking taylor expansion of n in f 3.976 * [backup-simplify]: Simplify n into n 3.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.976 * [backup-simplify]: Simplify (+ 1 0) into 1 3.976 * [backup-simplify]: Simplify (+ 1 0) into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.977 * [taylor]: Taking taylor expansion of 1 in n 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.977 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.978 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.978 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.978 * [taylor]: Taking taylor expansion of 2 in n 3.978 * [backup-simplify]: Simplify 2 into 2 3.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.978 * [taylor]: Taking taylor expansion of n in n 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.979 * [backup-simplify]: Simplify (- 0) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.980 * [backup-simplify]: Simplify (+ 0 0) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.982 * [taylor]: Taking taylor expansion of 2 in n 3.982 * [backup-simplify]: Simplify 2 into 2 3.982 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.982 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.982 * [taylor]: Taking taylor expansion of n in n 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.982 * [backup-simplify]: Simplify (* 1 1) into 1 3.983 * [backup-simplify]: Simplify (/ 1 1) into 1 3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.990 * [backup-simplify]: Simplify (- 0) into 0 3.990 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.992 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [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)))) 3.994 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.994 * [taylor]: Taking taylor expansion of 2 in n 3.994 * [backup-simplify]: Simplify 2 into 2 3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.994 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.994 * [taylor]: Taking taylor expansion of n in n 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (* 1 1) into 1 3.995 * [backup-simplify]: Simplify (* 1 1) into 1 3.995 * [backup-simplify]: Simplify (/ 1 1) into 1 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.002 * [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 4.004 * [backup-simplify]: Simplify (- 0) into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 4.004 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.004 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 4.004 * [taylor]: Taking taylor expansion of -1 in n 4.004 * [backup-simplify]: Simplify -1 into -1 4.004 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 4.005 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.005 * [taylor]: Taking taylor expansion of n in n 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [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 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 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 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.005 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (+ 1 0) 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 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 4.007 * [taylor]: Taking taylor expansion of -1 in f 4.008 * [backup-simplify]: Simplify -1 into -1 4.008 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 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 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 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 4.009 * [backup-simplify]: Simplify (/ 1 1) into 1 4.009 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.009 * [taylor]: Taking taylor expansion of n in f 4.009 * [backup-simplify]: Simplify n into n 4.009 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.009 * [backup-simplify]: Simplify (- 1) into -1 4.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.014 * [backup-simplify]: Simplify (+ 1 0) into 1 4.014 * [backup-simplify]: Simplify (/ -1 1) into -1 4.014 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 4.014 * [taylor]: Taking taylor expansion of -1 in f 4.014 * [backup-simplify]: Simplify -1 into -1 4.014 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.014 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.014 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.015 * [taylor]: Taking taylor expansion of n in f 4.015 * [backup-simplify]: Simplify n into n 4.015 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.015 * [taylor]: Taking taylor expansion of f in f 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.015 * [taylor]: Taking taylor expansion of f in f 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (/ 1 1) into 1 4.016 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.016 * [taylor]: Taking taylor expansion of n in f 4.016 * [backup-simplify]: Simplify n into n 4.016 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.016 * [backup-simplify]: Simplify (- 1) into -1 4.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.017 * [backup-simplify]: Simplify (+ 1 0) into 1 4.017 * [backup-simplify]: Simplify (/ -1 1) into -1 4.018 * [backup-simplify]: Simplify (* -1 -1) into 1 4.018 * [taylor]: Taking taylor expansion of 1 in n 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (- 0) into 0 4.019 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.020 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 4.021 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 4.021 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.021 * [taylor]: Taking taylor expansion of 2 in n 4.021 * [backup-simplify]: Simplify 2 into 2 4.021 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.021 * [taylor]: Taking taylor expansion of n in n 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (/ 1 1) into 1 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.022 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.026 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.026 * [taylor]: Taking taylor expansion of 2 in n 4.026 * [backup-simplify]: Simplify 2 into 2 4.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.026 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.026 * [taylor]: Taking taylor expansion of n in n 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.030 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (- 0) into 0 4.031 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [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))) 4.034 * [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)))) 4.034 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.034 * [taylor]: Taking taylor expansion of 2 in n 4.034 * [backup-simplify]: Simplify 2 into 2 4.034 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.034 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.034 * [taylor]: Taking taylor expansion of n in n 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (- 0) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.041 * * * [progress]: simplifying candidates 4.043 * [simplify]: Simplifying: (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)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt -1) 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(/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) (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)) 1 -1 -1 -1 1 1 4.047 * * [simplify]: Extracting # 0 : cost 0 4.048 * * [simplify]: Extracting # 1 : cost 0 4.048 * * [simplify]: Extracting # 2 : cost 0 4.048 * * [simplify]: Extracting # 3 : cost 0 4.049 * * [simplify]: Extracting # 4 : cost 0 4.049 * * [simplify]: Extracting # 5 : cost 0 4.049 * * [simplify]: Extracting # 6 : cost 0 4.049 * * [simplify]: Extracting # 7 : cost 0 4.050 * * [simplify]: iteration 0 : 223 enodes (cost 2956 ) 4.144 * * [simplify]: Extracting # 0 : cost 0 4.145 * * [simplify]: Extracting # 1 : cost 0 4.146 * * [simplify]: Extracting # 2 : cost 0 4.148 * * [simplify]: Extracting # 3 : cost 0 4.149 * * [simplify]: Extracting # 4 : cost 0 4.151 * * [simplify]: iteration 1 : 514 enodes (cost 2743 ) 4.484 * * [simplify]: Extracting # 0 : cost 0 4.488 * * [simplify]: Extracting # 1 : cost 0 4.492 * * [simplify]: Extracting # 2 : cost 0 4.496 * * [simplify]: Extracting # 3 : cost 0 4.499 * * [simplify]: Extracting # 4 : cost 0 4.503 * * [simplify]: iteration 2 : 1771 enodes (cost 2611 ) 5.650 * * [simplify]: Extracting # 0 : cost 0 5.663 * * [simplify]: Extracting # 1 : cost 0 5.685 * * [simplify]: Extracting # 2 : cost 0 5.696 * * [simplify]: Extracting # 3 : cost 0 5.708 * * [simplify]: Extracting # 4 : cost 0 5.719 * * [simplify]: iteration done: 5000 enodes (cost 2597 ) 5.721 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 1 (/ (- n f) (+ n f)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (* (cbrt -1) (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) 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-1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (sqrt -1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (* (sqrt -1) (sqrt (+ f n))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ f n)) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (fma f f (* n (- n f)))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ n f))) (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)) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ n f))) (- (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)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (- f) n) (/ (+ (pow f 3) (pow n 3)) (- f n)) (/ -1 (fma f f (* n (- n f)))) (* (- f n) (/ (+ f n) (- f n))) (/ -1 (- f n)) (/ (+ f n) (- f n)) (/ (- f n) (- (+ f n))) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (pow n 3) (pow f 3))) (- f n)) (* (/ (- (+ f n)) (- f n)) (- f n)) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- n f) (- (- 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)) (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (/ (sqrt (- f n)) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt (- f n)) (cbrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ (+ (sqrt n) (sqrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f))) (/ (+ (sqrt n) (sqrt f)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (+ (sqrt n) (sqrt f)) (/ (- (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 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (+ 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 n 3) (pow f 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (fma f f (* n (+ f n)))) (* (+ f n) (+ f n)) 1 -1 -1 -1 1 1 5.724 * * * [progress]: adding candidates to table 6.234 * * [progress]: iteration 3 / 4 6.234 * * * [progress]: picking best candidate 6.245 * * * * [pick]: Picked # 6.245 * * * [progress]: localizing error 6.254 * * * [progress]: generating rewritten candidates 6.254 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 6.306 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 6.325 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 6.398 * * * [progress]: generating series expansions 6.398 * * * * [progress]: [ 1 / 3 ] generating series at (2) 6.398 * [backup-simplify]: Simplify (/ (/ -1 (- f n)) (/ 1 (+ f n))) into (* -1 (/ (+ n f) (- f n))) 6.398 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.398 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.398 * [taylor]: Taking taylor expansion of -1 in n 6.398 * [backup-simplify]: Simplify -1 into -1 6.398 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.398 * [taylor]: Taking taylor expansion of (+ n f) in n 6.398 * [taylor]: Taking taylor expansion of n in n 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify 1 into 1 6.399 * [taylor]: Taking taylor expansion of f in n 6.399 * [backup-simplify]: Simplify f into f 6.399 * [taylor]: Taking taylor expansion of (- f n) in n 6.399 * [taylor]: Taking taylor expansion of f in n 6.399 * [backup-simplify]: Simplify f into f 6.399 * [taylor]: Taking taylor expansion of n in n 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify 1 into 1 6.399 * [backup-simplify]: Simplify (+ 0 f) into f 6.400 * [backup-simplify]: Simplify (- 0) into 0 6.400 * [backup-simplify]: Simplify (+ f 0) into f 6.400 * [backup-simplify]: Simplify (/ f f) into 1 6.400 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.400 * [taylor]: Taking taylor expansion of -1 in f 6.400 * [backup-simplify]: Simplify -1 into -1 6.400 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.400 * [taylor]: Taking taylor expansion of (+ n f) in f 6.400 * [taylor]: Taking taylor expansion of n in f 6.400 * [backup-simplify]: Simplify n into n 6.400 * [taylor]: Taking taylor expansion of f in f 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.400 * [taylor]: Taking taylor expansion of (- f n) in f 6.400 * [taylor]: Taking taylor expansion of f in f 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.400 * [taylor]: Taking taylor expansion of n in f 6.400 * [backup-simplify]: Simplify n into n 6.400 * [backup-simplify]: Simplify (+ n 0) into n 6.400 * [backup-simplify]: Simplify (- n) into (- n) 6.400 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.400 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.401 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.401 * [taylor]: Taking taylor expansion of -1 in f 6.401 * [backup-simplify]: Simplify -1 into -1 6.401 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.401 * [taylor]: Taking taylor expansion of (+ n f) in f 6.401 * [taylor]: Taking taylor expansion of n in f 6.401 * [backup-simplify]: Simplify n into n 6.401 * [taylor]: Taking taylor expansion of f in f 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.401 * [taylor]: Taking taylor expansion of (- f n) in f 6.401 * [taylor]: Taking taylor expansion of f in f 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.401 * [taylor]: Taking taylor expansion of n in f 6.401 * [backup-simplify]: Simplify n into n 6.401 * [backup-simplify]: Simplify (+ n 0) into n 6.401 * [backup-simplify]: Simplify (- n) into (- n) 6.401 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.401 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.402 * [backup-simplify]: Simplify (* -1 -1) into 1 6.402 * [taylor]: Taking taylor expansion of 1 in n 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (+ 0 1) into 1 6.403 * [backup-simplify]: Simplify (- 0) into 0 6.403 * [backup-simplify]: Simplify (+ 1 0) into 1 6.404 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.414 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.414 * [taylor]: Taking taylor expansion of 2 in n 6.414 * [backup-simplify]: Simplify 2 into 2 6.414 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.415 * [taylor]: Taking taylor expansion of n in n 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 1 into 1 6.415 * [backup-simplify]: Simplify (/ 1 1) into 1 6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify (+ 0 0) into 0 6.417 * [backup-simplify]: Simplify (- 0) into 0 6.418 * [backup-simplify]: Simplify (+ 0 0) into 0 6.418 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.419 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.419 * [taylor]: Taking taylor expansion of 2 in n 6.419 * [backup-simplify]: Simplify 2 into 2 6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.419 * [taylor]: Taking taylor expansion of n in n 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (* 1 1) into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.424 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.426 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.427 * [backup-simplify]: Simplify (- 0) into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.428 * [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)))) 6.429 * [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))) 6.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.429 * [taylor]: Taking taylor expansion of 2 in n 6.429 * [backup-simplify]: Simplify 2 into 2 6.429 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.430 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.430 * [taylor]: Taking taylor expansion of n in n 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (* 1 1) into 1 6.430 * [backup-simplify]: Simplify (* 1 1) into 1 6.431 * [backup-simplify]: Simplify (/ 1 1) into 1 6.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.440 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.440 * [taylor]: Taking taylor expansion of -1 in n 6.440 * [backup-simplify]: Simplify -1 into -1 6.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.440 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.440 * [taylor]: Taking taylor expansion of f in n 6.440 * [backup-simplify]: Simplify f into f 6.440 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.440 * [taylor]: Taking taylor expansion of n in n 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (/ 1 1) into 1 6.441 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.441 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.441 * [taylor]: Taking taylor expansion of f in n 6.441 * [backup-simplify]: Simplify f into f 6.441 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.441 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.441 * [taylor]: Taking taylor expansion of n in n 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (/ 1 1) into 1 6.442 * [backup-simplify]: Simplify (+ 0 1) into 1 6.442 * [backup-simplify]: Simplify (- 1) into -1 6.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.443 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.443 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.443 * [taylor]: Taking taylor expansion of -1 in f 6.443 * [backup-simplify]: Simplify -1 into -1 6.443 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.443 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.443 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.443 * [taylor]: Taking taylor expansion of f in f 6.443 * [backup-simplify]: Simplify 0 into 0 6.443 * [backup-simplify]: Simplify 1 into 1 6.444 * [backup-simplify]: Simplify (/ 1 1) into 1 6.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.444 * [taylor]: Taking taylor expansion of n in f 6.444 * [backup-simplify]: Simplify n into n 6.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.444 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.444 * [taylor]: Taking taylor expansion of f in f 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.445 * [backup-simplify]: Simplify (/ 1 1) into 1 6.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.445 * [taylor]: Taking taylor expansion of n in f 6.445 * [backup-simplify]: Simplify n into n 6.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.445 * [backup-simplify]: Simplify (+ 1 0) into 1 6.446 * [backup-simplify]: Simplify (+ 1 0) into 1 6.446 * [backup-simplify]: Simplify (/ 1 1) into 1 6.446 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.446 * [taylor]: Taking taylor expansion of -1 in f 6.446 * [backup-simplify]: Simplify -1 into -1 6.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.446 * [taylor]: Taking taylor expansion of f in f 6.446 * [backup-simplify]: Simplify 0 into 0 6.446 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (/ 1 1) into 1 6.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.447 * [taylor]: Taking taylor expansion of n in f 6.447 * [backup-simplify]: Simplify n into n 6.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.447 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.447 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.447 * [taylor]: Taking taylor expansion of f in f 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (/ 1 1) into 1 6.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.447 * [taylor]: Taking taylor expansion of n in f 6.447 * [backup-simplify]: Simplify n into n 6.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.448 * [backup-simplify]: Simplify (+ 1 0) into 1 6.448 * [backup-simplify]: Simplify (+ 1 0) into 1 6.449 * [backup-simplify]: Simplify (/ 1 1) into 1 6.449 * [backup-simplify]: Simplify (* -1 1) into -1 6.449 * [taylor]: Taking taylor expansion of -1 in n 6.449 * [backup-simplify]: Simplify -1 into -1 6.449 * [backup-simplify]: Simplify -1 into -1 6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.450 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.451 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.451 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.452 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.452 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.452 * [taylor]: Taking taylor expansion of 2 in n 6.452 * [backup-simplify]: Simplify 2 into 2 6.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.452 * [taylor]: Taking taylor expansion of n in n 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (/ 1 1) into 1 6.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.454 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.455 * [backup-simplify]: Simplify (- 0) into 0 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.456 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.457 * [backup-simplify]: Simplify (- 0) into 0 6.458 * [backup-simplify]: Simplify (+ 0 0) into 0 6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.460 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.460 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.460 * [taylor]: Taking taylor expansion of 2 in n 6.460 * [backup-simplify]: Simplify 2 into 2 6.460 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.460 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.460 * [taylor]: Taking taylor expansion of n in n 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 1 into 1 6.461 * [backup-simplify]: Simplify (* 1 1) into 1 6.461 * [backup-simplify]: Simplify (/ 1 1) into 1 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.465 * [backup-simplify]: Simplify (- 0) into 0 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.468 * [backup-simplify]: Simplify (- 0) into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.471 * [backup-simplify]: Simplify (- 0) into 0 6.472 * [backup-simplify]: Simplify (+ 0 0) into 0 6.473 * [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))) 6.474 * [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)))) 6.474 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.474 * [taylor]: Taking taylor expansion of 2 in n 6.475 * [backup-simplify]: Simplify 2 into 2 6.475 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.475 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.475 * [taylor]: Taking taylor expansion of n in n 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (* 1 1) into 1 6.475 * [backup-simplify]: Simplify (* 1 1) into 1 6.476 * [backup-simplify]: Simplify (/ 1 1) into 1 6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (- 0) into 0 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify -1 into -1 6.486 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.486 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.486 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.486 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.486 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.486 * [taylor]: Taking taylor expansion of f in n 6.486 * [backup-simplify]: Simplify f into f 6.486 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.486 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.486 * [taylor]: Taking taylor expansion of n in n 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.487 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.487 * [taylor]: Taking taylor expansion of n in n 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.487 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.487 * [taylor]: Taking taylor expansion of f in n 6.487 * [backup-simplify]: Simplify f into f 6.487 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.488 * [backup-simplify]: Simplify (+ 0 1) into 1 6.488 * [backup-simplify]: Simplify (+ 1 0) into 1 6.489 * [backup-simplify]: Simplify (/ 1 1) into 1 6.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.489 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.489 * [taylor]: Taking taylor expansion of f in f 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ 1 1) into 1 6.489 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.489 * [taylor]: Taking taylor expansion of n in f 6.489 * [backup-simplify]: Simplify n into n 6.489 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.489 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.489 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.489 * [taylor]: Taking taylor expansion of n in f 6.490 * [backup-simplify]: Simplify n into n 6.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.490 * [taylor]: Taking taylor expansion of f in f 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (/ 1 1) into 1 6.490 * [backup-simplify]: Simplify (+ 1 0) into 1 6.491 * [backup-simplify]: Simplify (- 1) into -1 6.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.492 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.492 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.492 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.492 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.492 * [taylor]: Taking taylor expansion of f in f 6.492 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify 1 into 1 6.492 * [backup-simplify]: Simplify (/ 1 1) into 1 6.492 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.492 * [taylor]: Taking taylor expansion of n in f 6.492 * [backup-simplify]: Simplify n into n 6.493 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.493 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.493 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.493 * [taylor]: Taking taylor expansion of n in f 6.493 * [backup-simplify]: Simplify n into n 6.493 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.493 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.493 * [taylor]: Taking taylor expansion of f in f 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [backup-simplify]: Simplify (/ 1 1) into 1 6.494 * [backup-simplify]: Simplify (+ 1 0) into 1 6.494 * [backup-simplify]: Simplify (- 1) into -1 6.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.496 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.496 * [taylor]: Taking taylor expansion of -1 in n 6.496 * [backup-simplify]: Simplify -1 into -1 6.496 * [backup-simplify]: Simplify -1 into -1 6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (- 0) into 0 6.498 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.498 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.498 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.499 * [taylor]: Taking taylor expansion of 2 in n 6.499 * [backup-simplify]: Simplify 2 into 2 6.499 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.499 * [taylor]: Taking taylor expansion of n in n 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify 1 into 1 6.499 * [backup-simplify]: Simplify (/ 1 1) into 1 6.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.501 * [backup-simplify]: Simplify (- 0) into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.503 * [backup-simplify]: Simplify (+ 0 0) into 0 6.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (- 0) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.506 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.506 * [taylor]: Taking taylor expansion of 2 in n 6.506 * [backup-simplify]: Simplify 2 into 2 6.506 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.506 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.506 * [taylor]: Taking taylor expansion of n in n 6.506 * [backup-simplify]: Simplify 0 into 0 6.506 * [backup-simplify]: Simplify 1 into 1 6.507 * [backup-simplify]: Simplify (* 1 1) into 1 6.507 * [backup-simplify]: Simplify (/ 1 1) into 1 6.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.510 * [backup-simplify]: Simplify (- 0) into 0 6.510 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.512 * [backup-simplify]: Simplify (- 0) into 0 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.512 * [backup-simplify]: Simplify (+ 0 0) into 0 6.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ 0 0) into 0 6.515 * [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)))) 6.515 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.515 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.515 * [taylor]: Taking taylor expansion of 2 in n 6.515 * [backup-simplify]: Simplify 2 into 2 6.515 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.515 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.515 * [taylor]: Taking taylor expansion of n in n 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify 1 into 1 6.515 * [backup-simplify]: Simplify (* 1 1) into 1 6.515 * [backup-simplify]: Simplify (* 1 1) into 1 6.516 * [backup-simplify]: Simplify (/ 1 1) into 1 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.520 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (- 0) into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify -1 into -1 6.521 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 6.521 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 6.521 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 6.521 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 6.521 * [taylor]: Taking taylor expansion of -1 in n 6.521 * [backup-simplify]: Simplify -1 into -1 6.521 * [taylor]: Taking taylor expansion of (- f n) in n 6.521 * [taylor]: Taking taylor expansion of f in n 6.521 * [backup-simplify]: Simplify f into f 6.521 * [taylor]: Taking taylor expansion of n in n 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.521 * [backup-simplify]: Simplify (- 0) into 0 6.521 * [backup-simplify]: Simplify (+ f 0) into f 6.521 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 6.522 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 6.522 * [taylor]: Taking taylor expansion of -1 in f 6.522 * [backup-simplify]: Simplify -1 into -1 6.522 * [taylor]: Taking taylor expansion of (- f n) in f 6.522 * [taylor]: Taking taylor expansion of f in f 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of n in f 6.522 * [backup-simplify]: Simplify n into n 6.522 * [backup-simplify]: Simplify (- n) into (- n) 6.522 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.522 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 6.522 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 6.522 * [taylor]: Taking taylor expansion of -1 in f 6.522 * [backup-simplify]: Simplify -1 into -1 6.522 * [taylor]: Taking taylor expansion of (- f n) in f 6.522 * [taylor]: Taking taylor expansion of f in f 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of n in f 6.522 * [backup-simplify]: Simplify n into n 6.522 * [backup-simplify]: Simplify (- n) into (- n) 6.522 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.522 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 6.522 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.522 * [taylor]: Taking taylor expansion of n in n 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (/ 1 1) into 1 6.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (- 0) into 0 6.523 * [backup-simplify]: Simplify (+ 1 0) into 1 6.523 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.524 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.524 * [taylor]: Taking taylor expansion of n in n 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (* 1 1) into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (- 0) into 0 6.527 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 6.527 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.527 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.527 * [taylor]: Taking taylor expansion of n in n 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (* 1 1) into 1 6.528 * [backup-simplify]: Simplify (* 1 1) into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.534 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 6.535 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 6.535 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 6.535 * [taylor]: Taking taylor expansion of -1 in n 6.535 * [backup-simplify]: Simplify -1 into -1 6.535 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.535 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.535 * [taylor]: Taking taylor expansion of f in n 6.535 * [backup-simplify]: Simplify f into f 6.535 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.535 * [taylor]: Taking taylor expansion of n in n 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (/ 1 1) into 1 6.535 * [backup-simplify]: Simplify (- 1) into -1 6.536 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.536 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.536 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 6.536 * [taylor]: Taking taylor expansion of -1 in f 6.536 * [backup-simplify]: Simplify -1 into -1 6.536 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.536 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.536 * [taylor]: Taking taylor expansion of f in f 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 1 into 1 6.536 * [backup-simplify]: Simplify (/ 1 1) into 1 6.536 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.536 * [taylor]: Taking taylor expansion of n in f 6.536 * [backup-simplify]: Simplify n into n 6.536 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.537 * [backup-simplify]: Simplify (+ 1 0) into 1 6.537 * [backup-simplify]: Simplify (/ -1 1) into -1 6.537 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 6.537 * [taylor]: Taking taylor expansion of -1 in f 6.537 * [backup-simplify]: Simplify -1 into -1 6.537 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.537 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.537 * [taylor]: Taking taylor expansion of f in f 6.537 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (/ 1 1) into 1 6.538 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.538 * [taylor]: Taking taylor expansion of n in f 6.538 * [backup-simplify]: Simplify n into n 6.538 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.538 * [backup-simplify]: Simplify (+ 1 0) into 1 6.539 * [backup-simplify]: Simplify (/ -1 1) into -1 6.539 * [taylor]: Taking taylor expansion of -1 in n 6.539 * [backup-simplify]: Simplify -1 into -1 6.539 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.540 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.540 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 6.540 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.541 * [taylor]: Taking taylor expansion of n in n 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify (/ 1 1) into 1 6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (- 0) into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.547 * [backup-simplify]: Simplify (- 0) into 0 6.548 * [backup-simplify]: Simplify (+ 0 0) into 0 6.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 6.549 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.549 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.549 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.549 * [taylor]: Taking taylor expansion of n in n 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.550 * [backup-simplify]: Simplify (* 1 1) into 1 6.550 * [backup-simplify]: Simplify (/ 1 1) into 1 6.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.555 * [backup-simplify]: Simplify (- 0) into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (- 0) into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 6.557 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.557 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 6.557 * [taylor]: Taking taylor expansion of -1 in n 6.557 * [backup-simplify]: Simplify -1 into -1 6.557 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.557 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.557 * [taylor]: Taking taylor expansion of n in n 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [backup-simplify]: Simplify (/ 1 1) into 1 6.557 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.557 * [taylor]: Taking taylor expansion of f in n 6.557 * [backup-simplify]: Simplify f into f 6.557 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.558 * [backup-simplify]: Simplify (+ 1 0) into 1 6.558 * [backup-simplify]: Simplify (/ -1 1) into -1 6.558 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 6.558 * [taylor]: Taking taylor expansion of -1 in f 6.558 * [backup-simplify]: Simplify -1 into -1 6.558 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.558 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.558 * [taylor]: Taking taylor expansion of n in f 6.558 * [backup-simplify]: Simplify n into n 6.558 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.558 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.559 * [taylor]: Taking taylor expansion of f in f 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 1 into 1 6.559 * [backup-simplify]: Simplify (/ 1 1) into 1 6.559 * [backup-simplify]: Simplify (- 1) into -1 6.560 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.560 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.560 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 6.560 * [taylor]: Taking taylor expansion of -1 in f 6.560 * [backup-simplify]: Simplify -1 into -1 6.560 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.560 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.560 * [taylor]: Taking taylor expansion of n in f 6.560 * [backup-simplify]: Simplify n into n 6.560 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.560 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.560 * [taylor]: Taking taylor expansion of f in f 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify 1 into 1 6.561 * [backup-simplify]: Simplify (/ 1 1) into 1 6.561 * [backup-simplify]: Simplify (- 1) into -1 6.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.562 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.562 * [taylor]: Taking taylor expansion of 1 in n 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.563 * [backup-simplify]: Simplify (- 0) into 0 6.563 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.564 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 6.564 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.564 * [taylor]: Taking taylor expansion of n in n 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [backup-simplify]: Simplify (/ 1 1) into 1 6.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.570 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.570 * [taylor]: Taking taylor expansion of n in n 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.570 * [backup-simplify]: Simplify (* 1 1) into 1 6.570 * [backup-simplify]: Simplify (/ 1 1) into 1 6.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 6.577 * [backup-simplify]: Simplify (/ 1 (+ f n)) into (/ 1 (+ n f)) 6.577 * [approximate]: Taking taylor expansion of (/ 1 (+ n f)) in (f n) around 0 6.577 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in n 6.577 * [taylor]: Taking taylor expansion of (+ n f) in n 6.577 * [taylor]: Taking taylor expansion of n in n 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [taylor]: Taking taylor expansion of f in n 6.577 * [backup-simplify]: Simplify f into f 6.577 * [backup-simplify]: Simplify (+ 0 f) into f 6.578 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.578 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 6.578 * [taylor]: Taking taylor expansion of (+ n f) in f 6.578 * [taylor]: Taking taylor expansion of n in f 6.578 * [backup-simplify]: Simplify n into n 6.578 * [taylor]: Taking taylor expansion of f in f 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (+ n 0) into n 6.578 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.578 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 6.578 * [taylor]: Taking taylor expansion of (+ n f) in f 6.578 * [taylor]: Taking taylor expansion of n in f 6.578 * [backup-simplify]: Simplify n into n 6.578 * [taylor]: Taking taylor expansion of f in f 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (+ n 0) into n 6.578 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.578 * [taylor]: Taking taylor expansion of n in n 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.579 * [backup-simplify]: Simplify (/ 1 1) into 1 6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify (+ 0 1) into 1 6.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.580 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.580 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.580 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.580 * [taylor]: Taking taylor expansion of n in n 6.580 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.581 * [backup-simplify]: Simplify (* 1 1) into 1 6.581 * [backup-simplify]: Simplify (/ 1 1) into 1 6.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.585 * [backup-simplify]: Simplify (- 0) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.586 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.586 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.586 * [taylor]: Taking taylor expansion of n in n 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (* 1 1) into 1 6.586 * [backup-simplify]: Simplify (* 1 1) into 1 6.587 * [backup-simplify]: Simplify (/ 1 1) into 1 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify (- 0) into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 f) (/ 1 n))) into (/ 1 (+ (/ 1 f) (/ 1 n))) 6.594 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 6.594 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 6.594 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.594 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.594 * [taylor]: Taking taylor expansion of f in n 6.594 * [backup-simplify]: Simplify f into f 6.594 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.594 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.594 * [taylor]: Taking taylor expansion of n in n 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [backup-simplify]: Simplify (/ 1 1) into 1 6.594 * [backup-simplify]: Simplify (+ 0 1) into 1 6.594 * [backup-simplify]: Simplify (/ 1 1) into 1 6.595 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 6.595 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.595 * [taylor]: Taking taylor expansion of f in f 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 1 into 1 6.595 * [backup-simplify]: Simplify (/ 1 1) into 1 6.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.595 * [taylor]: Taking taylor expansion of n in f 6.595 * [backup-simplify]: Simplify n into n 6.595 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.595 * [backup-simplify]: Simplify (+ 1 0) into 1 6.595 * [backup-simplify]: Simplify (/ 1 1) into 1 6.595 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 6.595 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.596 * [taylor]: Taking taylor expansion of f in f 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [backup-simplify]: Simplify (/ 1 1) into 1 6.596 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.596 * [taylor]: Taking taylor expansion of n in f 6.596 * [backup-simplify]: Simplify n into n 6.596 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.596 * [backup-simplify]: Simplify (+ 1 0) into 1 6.596 * [backup-simplify]: Simplify (/ 1 1) into 1 6.596 * [taylor]: Taking taylor expansion of 1 in n 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.597 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.597 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.597 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.597 * [taylor]: Taking taylor expansion of n in n 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 1 into 1 6.597 * [backup-simplify]: Simplify (/ 1 1) into 1 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.599 * [backup-simplify]: Simplify (- 0) into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.599 * [backup-simplify]: Simplify (+ 0 0) into 0 6.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.600 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.600 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.600 * [taylor]: Taking taylor expansion of n in n 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 1 into 1 6.600 * [backup-simplify]: Simplify (* 1 1) into 1 6.600 * [backup-simplify]: Simplify (/ 1 1) into 1 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.603 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.604 * [backup-simplify]: Simplify (- 0) into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (+ (/ 1 f) (/ 1 n))) 6.604 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 6.604 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in n 6.604 * [taylor]: Taking taylor expansion of -1 in n 6.604 * [backup-simplify]: Simplify -1 into -1 6.604 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.604 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.605 * [taylor]: Taking taylor expansion of f in n 6.605 * [backup-simplify]: Simplify f into f 6.605 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.605 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.605 * [taylor]: Taking taylor expansion of n in n 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [backup-simplify]: Simplify (/ 1 1) into 1 6.605 * [backup-simplify]: Simplify (+ 0 1) into 1 6.605 * [backup-simplify]: Simplify (/ -1 1) into -1 6.605 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 6.605 * [taylor]: Taking taylor expansion of -1 in f 6.605 * [backup-simplify]: Simplify -1 into -1 6.605 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.606 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.606 * [taylor]: Taking taylor expansion of f in f 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (/ 1 1) into 1 6.606 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.606 * [taylor]: Taking taylor expansion of n in f 6.606 * [backup-simplify]: Simplify n into n 6.606 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.606 * [backup-simplify]: Simplify (+ 1 0) into 1 6.607 * [backup-simplify]: Simplify (/ -1 1) into -1 6.607 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 6.607 * [taylor]: Taking taylor expansion of -1 in f 6.607 * [backup-simplify]: Simplify -1 into -1 6.607 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.607 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.607 * [taylor]: Taking taylor expansion of f in f 6.607 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify 1 into 1 6.607 * [backup-simplify]: Simplify (/ 1 1) into 1 6.607 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.607 * [taylor]: Taking taylor expansion of n in f 6.607 * [backup-simplify]: Simplify n into n 6.607 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.607 * [backup-simplify]: Simplify (+ 1 0) into 1 6.608 * [backup-simplify]: Simplify (/ -1 1) into -1 6.608 * [taylor]: Taking taylor expansion of -1 in n 6.608 * [backup-simplify]: Simplify -1 into -1 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 n) 1)))) into (/ 1 n) 6.609 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.609 * [taylor]: Taking taylor expansion of n in n 6.609 * [backup-simplify]: Simplify 0 into 0 6.609 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (/ 1 1) into 1 6.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.611 * [backup-simplify]: Simplify (+ 0 0) into 0 6.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 n) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 2))) 6.612 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.612 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.612 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.612 * [taylor]: Taking taylor expansion of n in n 6.612 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify 1 into 1 6.612 * [backup-simplify]: Simplify (* 1 1) into 1 6.612 * [backup-simplify]: Simplify (/ 1 1) into 1 6.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (- 0) into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.619 * * * [progress]: simplifying candidates 6.632 * [simplify]: Simplifying: (expm1 (/ (/ -1 (- f n)) (/ 1 (+ f n)))) 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(/ (+ f n) 1) (/ 1 (+ (pow f 3) (pow n 3))) (/ 1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 0 0 0 6.654 * * [simplify]: Extracting # 0 : cost 0 6.655 * * [simplify]: Extracting # 1 : cost 0 6.657 * * [simplify]: Extracting # 2 : cost 0 6.658 * * [simplify]: Extracting # 3 : cost 0 6.660 * * [simplify]: Extracting # 4 : cost 0 6.662 * * [simplify]: Extracting # 5 : cost 0 6.665 * * [simplify]: Extracting # 6 : cost 0 6.668 * * [simplify]: Extracting # 7 : cost 0 6.671 * * [simplify]: Extracting # 8 : cost 0 6.674 * * [simplify]: iteration 0 : 646 enodes (cost 12597 ) 7.177 * * [simplify]: Extracting # 0 : cost 0 7.180 * * [simplify]: Extracting # 1 : cost 0 7.181 * * [simplify]: Extracting # 2 : cost 0 7.183 * * [simplify]: Extracting # 3 : cost 0 7.184 * * [simplify]: Extracting # 4 : cost 0 7.186 * * [simplify]: iteration 1 : 1784 enodes (cost 10305 ) 7.890 * * [simplify]: Extracting # 0 : cost 0 7.894 * * [simplify]: Extracting # 1 : cost 0 7.899 * * [simplify]: Extracting # 2 : cost 0 7.904 * * [simplify]: Extracting # 3 : cost 0 7.909 * * [simplify]: iteration 2 : 4603 enodes (cost 9522 ) 9.185 * * [simplify]: Extracting # 0 : cost 0 9.190 * * [simplify]: Extracting # 1 : cost 0 9.195 * * [simplify]: Extracting # 2 : cost 0 9.200 * * [simplify]: iteration done: 5000 enodes (cost 9522 ) 9.209 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- 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n))) (* (+ n f) (+ n f)) (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (* f f) (* n n))) (* (+ n f) (cbrt (+ f n))) (/ (- (sqrt (+ n f))) (- (* f f) (* n n))) (* (+ f n) (sqrt (+ f n))) (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)) (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (* f f) (* n n))) (* (+ n f) (cbrt (+ f n))) (/ (- (sqrt (+ n f))) (- (* f f) (* n n))) (* (+ f n) (sqrt (+ f n))) (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)) (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)) (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)) (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)) (/ (- (+ (pow f 3) (pow n 3))) (- (* f f) (* n n))) (/ (+ n f) (fma f f (* n (- n f)))) -1 (/ (+ f n) (- f n)) (+ n f) (/ (/ (- f n) (+ n f)) -1) (/ (/ -1 (- f n)) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n))))) (/ (/ -1 (- f n)) (sqrt (/ 1 (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ n f))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ n f))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ n f))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (* (/ (- (+ f n)) (- f n)) (- f n)) (/ (/ 1 (+ f n)) (cbrt (/ -1 (- f n)))) (/ (/ 1 (+ f n)) (sqrt (/ -1 (- f n)))) (/ (/ 1 (+ f n)) (/ (cbrt -1) (cbrt (- f n)))) (/ (/ (sqrt (- f n)) (+ n f)) (cbrt -1)) (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ 1 (+ f n)) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ 1 (+ f n)) (/ (sqrt -1) (cbrt (- f n)))) (/ (/ (sqrt (- f n)) (+ n f)) (sqrt -1)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (/ 1 (+ f n)) (/ (sqrt -1) (- (sqrt f) (sqrt n)))) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ 1 (/ (- (+ f n)) (cbrt (- f n)))) (/ (/ (sqrt (- f n)) (+ n f)) -1) (/ (/ (- f n) (+ n f)) -1) (* (/ 1 (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (/ (- f n) (+ n f)) -1) (/ (/ (- f n) (+ n f)) -1) (/ (- f n) (+ n f)) (/ (/ 1 (+ n f)) (fma f f (* n (+ n f)))) (/ 1 (* (+ n f) (+ n f))) (/ -1 (- f n)) (/ (- f n) (+ n f)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) (expm1 (/ 1 (+ f n))) (log1p (/ 1 (+ f n))) -1 (- (log (+ f n))) (- (log (+ f n))) (- (log (+ f n))) (- (log (+ f n))) (exp (/ 1 (+ f n))) (/ 1 (pow (+ n f) 3)) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n)))) (cbrt (/ 1 (+ f n))) (/ 1 (pow (+ n f) 3)) (sqrt (/ 1 (+ f n))) (sqrt (/ 1 (+ f n))) -1 (- (+ f n)) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (cbrt (+ f n))) (/ 1 (sqrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 (/ 1 (+ n f)) 1 (/ 1 (+ n f)) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (cbrt (+ f n))) (/ 1 (sqrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 (/ 1 (+ n f)) 1 (/ 1 (+ n f)) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (cbrt (+ f n))) (/ 1 (sqrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 (/ 1 (+ n f)) 1 (/ 1 (+ n f)) (/ 1 (+ n f)) (+ n f) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (sqrt (+ n f))) 1 1 (+ n f) (+ n f) (+ n f) (/ 1 (+ (pow f 3) (pow n 3))) (/ 1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 0 0 0 9.218 * * * [progress]: adding candidates to table 10.282 * * [progress]: iteration 4 / 4 10.282 * * * [progress]: picking best candidate 10.299 * * * * [pick]: Picked # 10.299 * * * [progress]: localizing error 10.315 * * * [progress]: generating rewritten candidates 10.315 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 10.371 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.390 * * * [progress]: generating series expansions 10.390 * * * * [progress]: [ 1 / 2 ] generating series at (2) 10.391 * [backup-simplify]: Simplify (* (/ -1 (- f n)) (+ f n)) into (* -1 (/ (+ n f) (- f n))) 10.391 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 10.391 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 10.391 * [taylor]: Taking taylor expansion of -1 in n 10.391 * [backup-simplify]: Simplify -1 into -1 10.391 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 10.391 * [taylor]: Taking taylor expansion of (+ n f) in n 10.391 * [taylor]: Taking taylor expansion of n in n 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 1 into 1 10.391 * [taylor]: Taking taylor expansion of f in n 10.391 * [backup-simplify]: Simplify f into f 10.391 * [taylor]: Taking taylor expansion of (- f n) in n 10.391 * [taylor]: Taking taylor expansion of f in n 10.391 * [backup-simplify]: Simplify f into f 10.391 * [taylor]: Taking taylor expansion of n in n 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 1 into 1 10.391 * [backup-simplify]: Simplify (+ 0 f) into f 10.392 * [backup-simplify]: Simplify (- 0) into 0 10.392 * [backup-simplify]: Simplify (+ f 0) into f 10.392 * [backup-simplify]: Simplify (/ f f) into 1 10.392 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.392 * [taylor]: Taking taylor expansion of -1 in f 10.392 * [backup-simplify]: Simplify -1 into -1 10.393 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.393 * [taylor]: Taking taylor expansion of (+ n f) in f 10.393 * [taylor]: Taking taylor expansion of n in f 10.393 * [backup-simplify]: Simplify n into n 10.393 * [taylor]: Taking taylor expansion of f in f 10.393 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify 1 into 1 10.393 * [taylor]: Taking taylor expansion of (- f n) in f 10.393 * [taylor]: Taking taylor expansion of f in f 10.393 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify 1 into 1 10.393 * [taylor]: Taking taylor expansion of n in f 10.393 * [backup-simplify]: Simplify n into n 10.393 * [backup-simplify]: Simplify (+ n 0) into n 10.393 * [backup-simplify]: Simplify (- n) into (- n) 10.393 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.393 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.393 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.393 * [taylor]: Taking taylor expansion of -1 in f 10.393 * [backup-simplify]: Simplify -1 into -1 10.393 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.393 * [taylor]: Taking taylor expansion of (+ n f) in f 10.393 * [taylor]: Taking taylor expansion of n in f 10.393 * [backup-simplify]: Simplify n into n 10.393 * [taylor]: Taking taylor expansion of f in f 10.393 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify 1 into 1 10.393 * [taylor]: Taking taylor expansion of (- f n) in f 10.393 * [taylor]: Taking taylor expansion of f in f 10.393 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify 1 into 1 10.393 * [taylor]: Taking taylor expansion of n in f 10.393 * [backup-simplify]: Simplify n into n 10.393 * [backup-simplify]: Simplify (+ n 0) into n 10.393 * [backup-simplify]: Simplify (- n) into (- n) 10.393 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.393 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.394 * [backup-simplify]: Simplify (* -1 -1) into 1 10.394 * [taylor]: Taking taylor expansion of 1 in n 10.394 * [backup-simplify]: Simplify 1 into 1 10.394 * [backup-simplify]: Simplify 1 into 1 10.394 * [backup-simplify]: Simplify (+ 0 1) into 1 10.394 * [backup-simplify]: Simplify (- 0) into 0 10.394 * [backup-simplify]: Simplify (+ 1 0) into 1 10.395 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 10.395 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 10.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.395 * [taylor]: Taking taylor expansion of 2 in n 10.395 * [backup-simplify]: Simplify 2 into 2 10.395 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.395 * [taylor]: Taking taylor expansion of n in n 10.395 * [backup-simplify]: Simplify 0 into 0 10.395 * [backup-simplify]: Simplify 1 into 1 10.395 * [backup-simplify]: Simplify (/ 1 1) into 1 10.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.396 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.396 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify (+ 0 0) into 0 10.397 * [backup-simplify]: Simplify (- 0) into 0 10.397 * [backup-simplify]: Simplify (+ 0 0) into 0 10.397 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 10.398 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 10.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.398 * [taylor]: Taking taylor expansion of 2 in n 10.398 * [backup-simplify]: Simplify 2 into 2 10.398 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.398 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.398 * [taylor]: Taking taylor expansion of n in n 10.398 * [backup-simplify]: Simplify 0 into 0 10.398 * [backup-simplify]: Simplify 1 into 1 10.398 * [backup-simplify]: Simplify (* 1 1) into 1 10.398 * [backup-simplify]: Simplify (/ 1 1) into 1 10.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.401 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.403 * [backup-simplify]: Simplify 0 into 0 10.403 * [backup-simplify]: Simplify 0 into 0 10.403 * [backup-simplify]: Simplify (+ 0 0) into 0 10.404 * [backup-simplify]: Simplify (- 0) into 0 10.404 * [backup-simplify]: Simplify (+ 0 0) into 0 10.405 * [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)))) 10.406 * [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))) 10.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.407 * [taylor]: Taking taylor expansion of 2 in n 10.407 * [backup-simplify]: Simplify 2 into 2 10.407 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.407 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.407 * [taylor]: Taking taylor expansion of n in n 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify 1 into 1 10.407 * [backup-simplify]: Simplify (* 1 1) into 1 10.407 * [backup-simplify]: Simplify (* 1 1) into 1 10.408 * [backup-simplify]: Simplify (/ 1 1) into 1 10.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 1 into 1 10.418 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 10.418 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 10.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 10.418 * [taylor]: Taking taylor expansion of -1 in n 10.418 * [backup-simplify]: Simplify -1 into -1 10.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 10.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.418 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.418 * [taylor]: Taking taylor expansion of f in n 10.418 * [backup-simplify]: Simplify f into f 10.418 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.418 * [taylor]: Taking taylor expansion of n in n 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 1 into 1 10.419 * [backup-simplify]: Simplify (/ 1 1) into 1 10.419 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.419 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.419 * [taylor]: Taking taylor expansion of f in n 10.419 * [backup-simplify]: Simplify f into f 10.419 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.419 * [taylor]: Taking taylor expansion of n in n 10.419 * [backup-simplify]: Simplify 0 into 0 10.419 * [backup-simplify]: Simplify 1 into 1 10.419 * [backup-simplify]: Simplify (/ 1 1) into 1 10.420 * [backup-simplify]: Simplify (+ 0 1) into 1 10.420 * [backup-simplify]: Simplify (- 1) into -1 10.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.421 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.421 * [taylor]: Taking taylor expansion of -1 in f 10.421 * [backup-simplify]: Simplify -1 into -1 10.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.421 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.421 * [taylor]: Taking taylor expansion of f in f 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 1 into 1 10.422 * [backup-simplify]: Simplify (/ 1 1) into 1 10.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.422 * [taylor]: Taking taylor expansion of n in f 10.422 * [backup-simplify]: Simplify n into n 10.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.422 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.422 * [taylor]: Taking taylor expansion of f in f 10.422 * [backup-simplify]: Simplify 0 into 0 10.422 * [backup-simplify]: Simplify 1 into 1 10.422 * [backup-simplify]: Simplify (/ 1 1) into 1 10.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.422 * [taylor]: Taking taylor expansion of n in f 10.422 * [backup-simplify]: Simplify n into n 10.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.423 * [backup-simplify]: Simplify (+ 1 0) into 1 10.423 * [backup-simplify]: Simplify (+ 1 0) into 1 10.424 * [backup-simplify]: Simplify (/ 1 1) into 1 10.424 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.424 * [taylor]: Taking taylor expansion of -1 in f 10.424 * [backup-simplify]: Simplify -1 into -1 10.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.424 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.424 * [taylor]: Taking taylor expansion of f in f 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [backup-simplify]: Simplify (/ 1 1) into 1 10.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.424 * [taylor]: Taking taylor expansion of n in f 10.424 * [backup-simplify]: Simplify n into n 10.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.425 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.425 * [taylor]: Taking taylor expansion of f in f 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.425 * [backup-simplify]: Simplify (/ 1 1) into 1 10.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.425 * [taylor]: Taking taylor expansion of n in f 10.425 * [backup-simplify]: Simplify n into n 10.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.426 * [backup-simplify]: Simplify (+ 1 0) into 1 10.426 * [backup-simplify]: Simplify (+ 1 0) into 1 10.426 * [backup-simplify]: Simplify (/ 1 1) into 1 10.427 * [backup-simplify]: Simplify (* -1 1) into -1 10.427 * [taylor]: Taking taylor expansion of -1 in n 10.427 * [backup-simplify]: Simplify -1 into -1 10.427 * [backup-simplify]: Simplify -1 into -1 10.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.428 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.429 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.429 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.429 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 10.430 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 10.430 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.430 * [taylor]: Taking taylor expansion of 2 in n 10.430 * [backup-simplify]: Simplify 2 into 2 10.430 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.430 * [taylor]: Taking taylor expansion of n in n 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 1 into 1 10.430 * [backup-simplify]: Simplify (/ 1 1) into 1 10.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.432 * [backup-simplify]: Simplify (- 0) into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.434 * [backup-simplify]: Simplify (+ 0 0) into 0 10.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.435 * [backup-simplify]: Simplify (- 0) into 0 10.436 * [backup-simplify]: Simplify (+ 0 0) into 0 10.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 10.438 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 10.438 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 10.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.438 * [taylor]: Taking taylor expansion of 2 in n 10.438 * [backup-simplify]: Simplify 2 into 2 10.438 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.438 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.438 * [taylor]: Taking taylor expansion of n in n 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify 1 into 1 10.438 * [backup-simplify]: Simplify (* 1 1) into 1 10.439 * [backup-simplify]: Simplify (/ 1 1) into 1 10.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.443 * [backup-simplify]: Simplify (- 0) into 0 10.443 * [backup-simplify]: Simplify 0 into 0 10.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.446 * [backup-simplify]: Simplify (- 0) into 0 10.446 * [backup-simplify]: Simplify 0 into 0 10.446 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.448 * [backup-simplify]: Simplify (+ 0 0) into 0 10.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.449 * [backup-simplify]: Simplify (- 0) into 0 10.449 * [backup-simplify]: Simplify (+ 0 0) into 0 10.451 * [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))) 10.453 * [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)))) 10.453 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.453 * [taylor]: Taking taylor expansion of 2 in n 10.453 * [backup-simplify]: Simplify 2 into 2 10.453 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.453 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.453 * [taylor]: Taking taylor expansion of n in n 10.453 * [backup-simplify]: Simplify 0 into 0 10.453 * [backup-simplify]: Simplify 1 into 1 10.453 * [backup-simplify]: Simplify (* 1 1) into 1 10.454 * [backup-simplify]: Simplify (* 1 1) into 1 10.454 * [backup-simplify]: Simplify (/ 1 1) into 1 10.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.464 * [backup-simplify]: Simplify (- 0) into 0 10.464 * [backup-simplify]: Simplify 0 into 0 10.464 * [backup-simplify]: Simplify -1 into -1 10.464 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 10.464 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 10.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 10.464 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.464 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.464 * [taylor]: Taking taylor expansion of f in n 10.464 * [backup-simplify]: Simplify f into f 10.464 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.464 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.464 * [taylor]: Taking taylor expansion of n in n 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 1 into 1 10.465 * [backup-simplify]: Simplify (/ 1 1) into 1 10.465 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.465 * [taylor]: Taking taylor expansion of n in n 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 1 into 1 10.465 * [backup-simplify]: Simplify (/ 1 1) into 1 10.466 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.466 * [taylor]: Taking taylor expansion of f in n 10.466 * [backup-simplify]: Simplify f into f 10.466 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.466 * [backup-simplify]: Simplify (+ 0 1) into 1 10.467 * [backup-simplify]: Simplify (+ 1 0) into 1 10.467 * [backup-simplify]: Simplify (/ 1 1) into 1 10.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.467 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.467 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.467 * [taylor]: Taking taylor expansion of f in f 10.467 * [backup-simplify]: Simplify 0 into 0 10.467 * [backup-simplify]: Simplify 1 into 1 10.468 * [backup-simplify]: Simplify (/ 1 1) into 1 10.468 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.468 * [taylor]: Taking taylor expansion of n in f 10.468 * [backup-simplify]: Simplify n into n 10.468 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.468 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.468 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.468 * [taylor]: Taking taylor expansion of n in f 10.468 * [backup-simplify]: Simplify n into n 10.468 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.468 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.468 * [taylor]: Taking taylor expansion of f in f 10.468 * [backup-simplify]: Simplify 0 into 0 10.468 * [backup-simplify]: Simplify 1 into 1 10.469 * [backup-simplify]: Simplify (/ 1 1) into 1 10.469 * [backup-simplify]: Simplify (+ 1 0) into 1 10.469 * [backup-simplify]: Simplify (- 1) into -1 10.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.470 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.470 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.470 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.470 * [taylor]: Taking taylor expansion of f in f 10.470 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.471 * [backup-simplify]: Simplify (/ 1 1) into 1 10.471 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.471 * [taylor]: Taking taylor expansion of n in f 10.471 * [backup-simplify]: Simplify n into n 10.471 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.471 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.471 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.471 * [taylor]: Taking taylor expansion of n in f 10.471 * [backup-simplify]: Simplify n into n 10.471 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.471 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.471 * [taylor]: Taking taylor expansion of f in f 10.471 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.472 * [backup-simplify]: Simplify (/ 1 1) into 1 10.472 * [backup-simplify]: Simplify (+ 1 0) into 1 10.473 * [backup-simplify]: Simplify (- 1) into -1 10.473 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.473 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.474 * [taylor]: Taking taylor expansion of -1 in n 10.474 * [backup-simplify]: Simplify -1 into -1 10.474 * [backup-simplify]: Simplify -1 into -1 10.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.474 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.476 * [backup-simplify]: Simplify (- 0) into 0 10.476 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.476 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 10.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.476 * [taylor]: Taking taylor expansion of 2 in n 10.476 * [backup-simplify]: Simplify 2 into 2 10.476 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.476 * [taylor]: Taking taylor expansion of n in n 10.476 * [backup-simplify]: Simplify 0 into 0 10.476 * [backup-simplify]: Simplify 1 into 1 10.477 * [backup-simplify]: Simplify (/ 1 1) into 1 10.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.478 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.478 * [backup-simplify]: Simplify (- 0) into 0 10.479 * [backup-simplify]: Simplify 0 into 0 10.479 * [backup-simplify]: Simplify 0 into 0 10.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.480 * [backup-simplify]: Simplify (+ 0 0) into 0 10.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.482 * [backup-simplify]: Simplify (- 0) into 0 10.482 * [backup-simplify]: Simplify (+ 0 0) into 0 10.483 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 10.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 10.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.483 * [taylor]: Taking taylor expansion of 2 in n 10.483 * [backup-simplify]: Simplify 2 into 2 10.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.483 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.483 * [taylor]: Taking taylor expansion of n in n 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 1 into 1 10.484 * [backup-simplify]: Simplify (* 1 1) into 1 10.484 * [backup-simplify]: Simplify (/ 1 1) into 1 10.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.489 * [backup-simplify]: Simplify (- 0) into 0 10.489 * [backup-simplify]: Simplify 0 into 0 10.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.491 * [backup-simplify]: Simplify (- 0) into 0 10.491 * [backup-simplify]: Simplify 0 into 0 10.491 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.493 * [backup-simplify]: Simplify (+ 0 0) into 0 10.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.494 * [backup-simplify]: Simplify (- 0) into 0 10.495 * [backup-simplify]: Simplify (+ 0 0) into 0 10.497 * [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)))) 10.497 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.497 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.497 * [taylor]: Taking taylor expansion of 2 in n 10.497 * [backup-simplify]: Simplify 2 into 2 10.497 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.497 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.497 * [taylor]: Taking taylor expansion of n in n 10.497 * [backup-simplify]: Simplify 0 into 0 10.497 * [backup-simplify]: Simplify 1 into 1 10.498 * [backup-simplify]: Simplify (* 1 1) into 1 10.498 * [backup-simplify]: Simplify (* 1 1) into 1 10.498 * [backup-simplify]: Simplify (/ 1 1) into 1 10.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.508 * [backup-simplify]: Simplify (- 0) into 0 10.508 * [backup-simplify]: Simplify 0 into 0 10.508 * [backup-simplify]: Simplify -1 into -1 10.508 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 10.508 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 10.508 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 10.508 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 10.508 * [taylor]: Taking taylor expansion of -1 in n 10.508 * [backup-simplify]: Simplify -1 into -1 10.508 * [taylor]: Taking taylor expansion of (- f n) in n 10.508 * [taylor]: Taking taylor expansion of f in n 10.508 * [backup-simplify]: Simplify f into f 10.508 * [taylor]: Taking taylor expansion of n in n 10.508 * [backup-simplify]: Simplify 0 into 0 10.508 * [backup-simplify]: Simplify 1 into 1 10.509 * [backup-simplify]: Simplify (- 0) into 0 10.509 * [backup-simplify]: Simplify (+ f 0) into f 10.509 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 10.509 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 10.509 * [taylor]: Taking taylor expansion of -1 in f 10.509 * [backup-simplify]: Simplify -1 into -1 10.509 * [taylor]: Taking taylor expansion of (- f n) in f 10.509 * [taylor]: Taking taylor expansion of f in f 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 1 into 1 10.509 * [taylor]: Taking taylor expansion of n in f 10.509 * [backup-simplify]: Simplify n into n 10.509 * [backup-simplify]: Simplify (- n) into (- n) 10.509 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.509 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 10.509 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 10.509 * [taylor]: Taking taylor expansion of -1 in f 10.509 * [backup-simplify]: Simplify -1 into -1 10.509 * [taylor]: Taking taylor expansion of (- f n) in f 10.509 * [taylor]: Taking taylor expansion of f in f 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify 1 into 1 10.510 * [taylor]: Taking taylor expansion of n in f 10.510 * [backup-simplify]: Simplify n into n 10.510 * [backup-simplify]: Simplify (- n) into (- n) 10.510 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.510 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 10.510 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.510 * [taylor]: Taking taylor expansion of n in n 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify 1 into 1 10.510 * [backup-simplify]: Simplify (/ 1 1) into 1 10.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.511 * [backup-simplify]: Simplify 0 into 0 10.511 * [backup-simplify]: Simplify (- 0) into 0 10.512 * [backup-simplify]: Simplify (+ 1 0) into 1 10.512 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 10.512 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.512 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.512 * [taylor]: Taking taylor expansion of n in n 10.512 * [backup-simplify]: Simplify 0 into 0 10.512 * [backup-simplify]: Simplify 1 into 1 10.512 * [backup-simplify]: Simplify (* 1 1) into 1 10.513 * [backup-simplify]: Simplify (/ 1 1) into 1 10.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.516 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify (- 0) into 0 10.518 * [backup-simplify]: Simplify (+ 0 0) into 0 10.518 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 10.518 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.518 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.518 * [taylor]: Taking taylor expansion of n in n 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify 1 into 1 10.519 * [backup-simplify]: Simplify (* 1 1) into 1 10.519 * [backup-simplify]: Simplify (* 1 1) into 1 10.519 * [backup-simplify]: Simplify (/ 1 1) into 1 10.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.534 * [backup-simplify]: Simplify 0 into 0 10.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 10.537 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 10.537 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 10.537 * [taylor]: Taking taylor expansion of -1 in n 10.537 * [backup-simplify]: Simplify -1 into -1 10.537 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.537 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.538 * [taylor]: Taking taylor expansion of f in n 10.538 * [backup-simplify]: Simplify f into f 10.538 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.538 * [taylor]: Taking taylor expansion of n in n 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 1 into 1 10.538 * [backup-simplify]: Simplify (/ 1 1) into 1 10.539 * [backup-simplify]: Simplify (- 1) into -1 10.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.539 * [backup-simplify]: Simplify (/ -1 -1) into 1 10.539 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 10.539 * [taylor]: Taking taylor expansion of -1 in f 10.540 * [backup-simplify]: Simplify -1 into -1 10.540 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.540 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.540 * [taylor]: Taking taylor expansion of f in f 10.540 * [backup-simplify]: Simplify 0 into 0 10.540 * [backup-simplify]: Simplify 1 into 1 10.540 * [backup-simplify]: Simplify (/ 1 1) into 1 10.540 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.540 * [taylor]: Taking taylor expansion of n in f 10.540 * [backup-simplify]: Simplify n into n 10.540 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.541 * [backup-simplify]: Simplify (+ 1 0) into 1 10.541 * [backup-simplify]: Simplify (/ -1 1) into -1 10.541 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 10.541 * [taylor]: Taking taylor expansion of -1 in f 10.541 * [backup-simplify]: Simplify -1 into -1 10.541 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.541 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.541 * [taylor]: Taking taylor expansion of f in f 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 1 into 1 10.542 * [backup-simplify]: Simplify (/ 1 1) into 1 10.542 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.542 * [taylor]: Taking taylor expansion of n in f 10.542 * [backup-simplify]: Simplify n into n 10.542 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.543 * [backup-simplify]: Simplify (+ 1 0) into 1 10.543 * [backup-simplify]: Simplify (/ -1 1) into -1 10.543 * [taylor]: Taking taylor expansion of -1 in n 10.543 * [backup-simplify]: Simplify -1 into -1 10.543 * [backup-simplify]: Simplify 0 into 0 10.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.544 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.544 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 10.545 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 10.545 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.545 * [taylor]: Taking taylor expansion of n in n 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 1 into 1 10.546 * [backup-simplify]: Simplify (/ 1 1) into 1 10.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.547 * [backup-simplify]: Simplify (- 0) into 0 10.547 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.549 * [backup-simplify]: Simplify (- 0) into 0 10.549 * [backup-simplify]: Simplify (+ 0 0) into 0 10.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 10.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 10.551 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.551 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.551 * [taylor]: Taking taylor expansion of n in n 10.551 * [backup-simplify]: Simplify 0 into 0 10.551 * [backup-simplify]: Simplify 1 into 1 10.551 * [backup-simplify]: Simplify (* 1 1) into 1 10.552 * [backup-simplify]: Simplify (/ 1 1) into 1 10.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.557 * [backup-simplify]: Simplify (- 0) into 0 10.557 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.559 * [backup-simplify]: Simplify (- 0) into 0 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 10.559 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 10.559 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 10.559 * [taylor]: Taking taylor expansion of -1 in n 10.559 * [backup-simplify]: Simplify -1 into -1 10.559 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.559 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.559 * [taylor]: Taking taylor expansion of n in n 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 1 into 1 10.560 * [backup-simplify]: Simplify (/ 1 1) into 1 10.560 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.560 * [taylor]: Taking taylor expansion of f in n 10.560 * [backup-simplify]: Simplify f into f 10.560 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.560 * [backup-simplify]: Simplify (+ 1 0) into 1 10.561 * [backup-simplify]: Simplify (/ -1 1) into -1 10.561 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 10.561 * [taylor]: Taking taylor expansion of -1 in f 10.561 * [backup-simplify]: Simplify -1 into -1 10.561 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.561 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.561 * [taylor]: Taking taylor expansion of n in f 10.561 * [backup-simplify]: Simplify n into n 10.561 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.561 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.561 * [taylor]: Taking taylor expansion of f in f 10.561 * [backup-simplify]: Simplify 0 into 0 10.561 * [backup-simplify]: Simplify 1 into 1 10.562 * [backup-simplify]: Simplify (/ 1 1) into 1 10.562 * [backup-simplify]: Simplify (- 1) into -1 10.562 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.563 * [backup-simplify]: Simplify (/ -1 -1) into 1 10.563 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 10.563 * [taylor]: Taking taylor expansion of -1 in f 10.563 * [backup-simplify]: Simplify -1 into -1 10.563 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.563 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.563 * [taylor]: Taking taylor expansion of n in f 10.563 * [backup-simplify]: Simplify n into n 10.563 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.563 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.563 * [taylor]: Taking taylor expansion of f in f 10.563 * [backup-simplify]: Simplify 0 into 0 10.563 * [backup-simplify]: Simplify 1 into 1 10.564 * [backup-simplify]: Simplify (/ 1 1) into 1 10.564 * [backup-simplify]: Simplify (- 1) into -1 10.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.565 * [backup-simplify]: Simplify (/ -1 -1) into 1 10.565 * [taylor]: Taking taylor expansion of 1 in n 10.565 * [backup-simplify]: Simplify 1 into 1 10.565 * [backup-simplify]: Simplify 0 into 0 10.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.566 * [backup-simplify]: Simplify (- 0) into 0 10.567 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.567 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 10.567 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.567 * [taylor]: Taking taylor expansion of n in n 10.567 * [backup-simplify]: Simplify 0 into 0 10.567 * [backup-simplify]: Simplify 1 into 1 10.568 * [backup-simplify]: Simplify (/ 1 1) into 1 10.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.569 * [backup-simplify]: Simplify 0 into 0 10.569 * [backup-simplify]: Simplify 0 into 0 10.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.571 * [backup-simplify]: Simplify (- 0) into 0 10.571 * [backup-simplify]: Simplify (+ 0 0) into 0 10.572 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 10.573 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.573 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.573 * [taylor]: Taking taylor expansion of n in n 10.573 * [backup-simplify]: Simplify 0 into 0 10.573 * [backup-simplify]: Simplify 1 into 1 10.573 * [backup-simplify]: Simplify (* 1 1) into 1 10.573 * [backup-simplify]: Simplify (/ 1 1) into 1 10.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.579 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 0 into 0 10.581 * * * [progress]: simplifying candidates 10.583 * [simplify]: Simplifying: (expm1 (* (/ -1 (- f n)) (+ f n))) (log1p (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n)) (+ (- (log -1) (log (- f n))) (log (+ f n))) (+ (log (/ -1 (- f n))) (log (+ 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 (- f n)) (/ -1 (- f n))) (/ -1 (- 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 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* f (/ -1 (- f n))) (* n (/ -1 (- f n))) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (* (/ -1 (- f n)) 1) (* (/ -1 (- f n)) 1) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ 1 (- f n)) (+ f n)) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 10.586 * * [simplify]: Extracting # 0 : cost 0 10.587 * * [simplify]: Extracting # 1 : cost 0 10.587 * * [simplify]: Extracting # 2 : cost 0 10.587 * * [simplify]: Extracting # 3 : cost 0 10.588 * * [simplify]: Extracting # 4 : cost 0 10.588 * * [simplify]: Extracting # 5 : cost 0 10.589 * * [simplify]: iteration 0 : 131 enodes (cost 1006 ) 10.667 * * [simplify]: Extracting # 0 : cost 0 10.668 * * [simplify]: Extracting # 1 : cost 0 10.669 * * [simplify]: Extracting # 2 : cost 0 10.670 * * [simplify]: Extracting # 3 : cost 0 10.671 * * [simplify]: Extracting # 4 : cost 0 10.672 * * [simplify]: iteration 1 : 426 enodes (cost 941 ) 10.880 * * [simplify]: Extracting # 0 : cost 0 10.891 * * [simplify]: Extracting # 1 : cost 0 10.894 * * [simplify]: Extracting # 2 : cost 0 10.897 * * [simplify]: Extracting # 3 : cost 0 10.898 * * [simplify]: Extracting # 4 : cost 0 10.900 * * [simplify]: Extracting # 5 : cost 0 10.901 * * [simplify]: Extracting # 6 : cost 0 10.902 * * [simplify]: iteration 2 : 1341 enodes (cost 867 ) 13.217 * * [simplify]: Extracting # 0 : cost 0 13.236 * * [simplify]: Extracting # 1 : cost 0 13.244 * * [simplify]: Extracting # 2 : cost 0 13.252 * * [simplify]: Extracting # 3 : cost 0 13.259 * * [simplify]: Extracting # 4 : cost 0 13.267 * * [simplify]: iteration 3 : 4373 enodes (cost 864 ) 14.811 * * [simplify]: Extracting # 0 : cost 0 14.816 * * [simplify]: Extracting # 1 : cost 0 14.824 * * [simplify]: iteration done: 5000 enodes (cost 864 ) 14.825 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (+ (pow f 3) (pow n 3))) (* (fma f f (* n (- n f))) (- f n)) (* (+ n f) (- n f)) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (/ (- (+ 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)) (- f n)) (/ (+ n f) (- f n)) (* (fma f f (* n (+ f n))) (+ f n)) (* (+ n f) (+ n f)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ (* (+ n f) (- n f)) (- f n)) (- (+ f n)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (- n f) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 14.826 * * * [progress]: adding candidates to table 15.139 * [progress]: [Phase 3 of 3] Extracting. 15.139 * * [regime]: Finding splitpoints for: (# # # # #) 15.141 * * * [regime-changes]: Trying 2 branch expressions: (n f) 15.141 * * * * [regimes]: Trying to branch on n from (# # # # #) 15.166 * * * * [regimes]: Trying to branch on f from (# # # # #) 15.187 * * * [regime]: Found split indices: #