0.875 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.068 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.069 * * [simplify]: iteration 0: 6 enodes 0.073 * * [simplify]: iteration 1: 13 enodes 0.075 * * [simplify]: iteration 2: 16 enodes 0.078 * * [simplify]: iteration 3: 20 enodes 0.080 * * [simplify]: iteration 4: 24 enodes 0.083 * * [simplify]: iteration 5: 29 enodes 0.087 * * [simplify]: iteration 6: 31 enodes 0.090 * * [simplify]: iteration complete: 31 enodes 0.090 * * [simplify]: Extracting #0: cost 1 inf + 0 0.090 * * [simplify]: Extracting #1: cost 9 inf + 0 0.090 * * [simplify]: Extracting #2: cost 14 inf + 0 0.091 * * [simplify]: Extracting #3: cost 11 inf + 43 0.091 * * [simplify]: Extracting #4: cost 2 inf + 860 0.091 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.091 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.140 * * * [progress]: generating rewritten candidates 0.140 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.176 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.181 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.181 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.182 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.182 * [taylor]: Taking taylor expansion of -1 in n 0.182 * [backup-simplify]: Simplify -1 into -1 0.182 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.182 * [taylor]: Taking taylor expansion of (+ n f) in n 0.182 * [taylor]: Taking taylor expansion of n in n 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of f in n 0.182 * [backup-simplify]: Simplify f into f 0.182 * [taylor]: Taking taylor expansion of (- f n) in n 0.182 * [taylor]: Taking taylor expansion of f in n 0.182 * [backup-simplify]: Simplify f into f 0.182 * [taylor]: Taking taylor expansion of n in n 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ 0 f) into f 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ f 0) into f 0.183 * [backup-simplify]: Simplify (/ f f) into 1 0.183 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.183 * [taylor]: Taking taylor expansion of -1 in f 0.183 * [backup-simplify]: Simplify -1 into -1 0.183 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.183 * [taylor]: Taking taylor expansion of (+ n f) in f 0.183 * [taylor]: Taking taylor expansion of n in f 0.183 * [backup-simplify]: Simplify n into n 0.183 * [taylor]: Taking taylor expansion of f in f 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of (- f n) in f 0.183 * [taylor]: Taking taylor expansion of f in f 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of n in f 0.184 * [backup-simplify]: Simplify n into n 0.184 * [backup-simplify]: Simplify (+ n 0) into n 0.184 * [backup-simplify]: Simplify (- n) into (- n) 0.184 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.184 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.184 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.184 * [taylor]: Taking taylor expansion of -1 in f 0.184 * [backup-simplify]: Simplify -1 into -1 0.184 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.184 * [taylor]: Taking taylor expansion of (+ n f) in f 0.184 * [taylor]: Taking taylor expansion of n in f 0.184 * [backup-simplify]: Simplify n into n 0.184 * [taylor]: Taking taylor expansion of f in f 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of (- f n) in f 0.184 * [taylor]: Taking taylor expansion of f in f 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of n in f 0.184 * [backup-simplify]: Simplify n into n 0.184 * [backup-simplify]: Simplify (+ n 0) into n 0.184 * [backup-simplify]: Simplify (- n) into (- n) 0.184 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.184 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.185 * [backup-simplify]: Simplify (* -1 -1) into 1 0.186 * [taylor]: Taking taylor expansion of 1 in n 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.188 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.188 * [taylor]: Taking taylor expansion of 2 in n 0.188 * [backup-simplify]: Simplify 2 into 2 0.188 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.188 * [taylor]: Taking taylor expansion of n in n 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.191 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.191 * [taylor]: Taking taylor expansion of 2 in n 0.191 * [backup-simplify]: Simplify 2 into 2 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.191 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.191 * [taylor]: Taking taylor expansion of n in n 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [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)))) 0.198 * [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))) 0.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.198 * [taylor]: Taking taylor expansion of 2 in n 0.198 * [backup-simplify]: Simplify 2 into 2 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.198 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.198 * [taylor]: Taking taylor expansion of n in n 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 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 0) (* 0 1)))) into 0 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.211 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.211 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.211 * [taylor]: Taking taylor expansion of -1 in n 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.211 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.211 * [taylor]: Taking taylor expansion of f in n 0.211 * [backup-simplify]: Simplify f into f 0.212 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.212 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.212 * [taylor]: Taking taylor expansion of n in n 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.212 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.212 * [taylor]: Taking taylor expansion of f in n 0.212 * [backup-simplify]: Simplify f into f 0.212 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.212 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.212 * [taylor]: Taking taylor expansion of n in n 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [backup-simplify]: Simplify (+ 0 1) into 1 0.213 * [backup-simplify]: Simplify (- 1) into -1 0.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.214 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.214 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.214 * [taylor]: Taking taylor expansion of -1 in f 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.214 * [taylor]: Taking taylor expansion of f in f 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.214 * [taylor]: Taking taylor expansion of n in f 0.214 * [backup-simplify]: Simplify n into n 0.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.214 * [taylor]: Taking taylor expansion of f in f 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.215 * [taylor]: Taking taylor expansion of n in f 0.215 * [backup-simplify]: Simplify n into n 0.215 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.216 * [taylor]: Taking taylor expansion of -1 in f 0.216 * [backup-simplify]: Simplify -1 into -1 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.216 * [taylor]: Taking taylor expansion of f in f 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.216 * [taylor]: Taking taylor expansion of n in f 0.216 * [backup-simplify]: Simplify n into n 0.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.216 * [taylor]: Taking taylor expansion of f in f 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.216 * [taylor]: Taking taylor expansion of n in f 0.216 * [backup-simplify]: Simplify n into n 0.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (* -1 1) into -1 0.218 * [taylor]: Taking taylor expansion of -1 in n 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.219 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.219 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.219 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.219 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.219 * [taylor]: Taking taylor expansion of 2 in n 0.219 * [backup-simplify]: Simplify 2 into 2 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 (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.224 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.224 * [taylor]: Taking taylor expansion of 2 in n 0.224 * [backup-simplify]: Simplify 2 into 2 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.224 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.224 * [taylor]: Taking taylor expansion of n in n 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [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))) 0.233 * [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)))) 0.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.233 * [taylor]: Taking taylor expansion of 2 in n 0.233 * [backup-simplify]: Simplify 2 into 2 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.233 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.233 * [taylor]: Taking taylor expansion of n in n 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify -1 into -1 0.240 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.240 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.240 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.240 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.240 * [taylor]: Taking taylor expansion of f in n 0.240 * [backup-simplify]: Simplify f into f 0.240 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.240 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.240 * [taylor]: Taking taylor expansion of n in n 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.241 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.241 * [taylor]: Taking taylor expansion of n in n 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.241 * [taylor]: Taking taylor expansion of f in n 0.241 * [backup-simplify]: Simplify f into f 0.241 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.241 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.242 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.242 * [taylor]: Taking taylor expansion of f in f 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.242 * [taylor]: Taking taylor expansion of n in f 0.242 * [backup-simplify]: Simplify n into n 0.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.243 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.243 * [taylor]: Taking taylor expansion of n in f 0.243 * [backup-simplify]: Simplify n into n 0.243 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.243 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.243 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.244 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.244 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.244 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.244 * [taylor]: Taking taylor expansion of f in f 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.244 * [taylor]: Taking taylor expansion of n in f 0.244 * [backup-simplify]: Simplify n into n 0.245 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.245 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.245 * [taylor]: Taking taylor expansion of n in f 0.245 * [backup-simplify]: Simplify n into n 0.245 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.245 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.245 * [taylor]: Taking taylor expansion of f in f 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (- 1) into -1 0.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.246 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.246 * [taylor]: Taking taylor expansion of -1 in n 0.246 * [backup-simplify]: Simplify -1 into -1 0.246 * [backup-simplify]: Simplify -1 into -1 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.248 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.248 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.248 * [taylor]: Taking taylor expansion of 2 in n 0.248 * [backup-simplify]: Simplify 2 into 2 0.248 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 2 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 0 into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.253 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.253 * [taylor]: Taking taylor expansion of 2 in n 0.253 * [backup-simplify]: Simplify 2 into 2 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.253 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.253 * [taylor]: Taking taylor expansion of n in n 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [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)))) 0.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.261 * [taylor]: Taking taylor expansion of 2 in n 0.261 * [backup-simplify]: Simplify 2 into 2 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.261 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * * * [progress]: simplifying candidates 0.270 * [simplify]: Simplifying: (- (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 0.271 * * [simplify]: iteration 0: 133 enodes 0.306 * * [simplify]: iteration 1: 311 enodes 0.469 * * [simplify]: iteration 2: 698 enodes 0.786 * * [simplify]: iteration 3: 2226 enodes 1.614 * * [simplify]: iteration complete: 5006 enodes 1.614 * * [simplify]: Extracting #0: cost 86 inf + 0 1.615 * * [simplify]: Extracting #1: cost 514 inf + 3 1.620 * * [simplify]: Extracting #2: cost 1092 inf + 10415 1.665 * * [simplify]: Extracting #3: cost 848 inf + 144858 1.734 * * [simplify]: Extracting #4: cost 309 inf + 266790 1.841 * * [simplify]: Extracting #5: cost 96 inf + 321399 1.955 * * [simplify]: Extracting #6: cost 53 inf + 332283 2.057 * * [simplify]: Extracting #7: cost 10 inf + 340564 2.142 * * [simplify]: Extracting #8: cost 0 inf + 343091 2.229 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (+ n (- f)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f))))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (- (/ (/ (+ n f) (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (/ -1 (- f n)) (* (+ (* (- n) (- f n)) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 2.234 * * * [progress]: adding candidates to table 2.635 * * [progress]: iteration 2 / 4 2.635 * * * [progress]: picking best candidate 2.650 * * * * [pick]: Picked # 2.650 * * * [progress]: localizing error 2.676 * * * [progress]: generating rewritten candidates 2.677 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 2.706 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.785 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.909 * * * [progress]: generating series expansions 2.909 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 2.909 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 2.909 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.909 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.909 * [taylor]: Taking taylor expansion of -1 in n 2.909 * [backup-simplify]: Simplify -1 into -1 2.909 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.909 * [taylor]: Taking taylor expansion of (+ n f) in n 2.909 * [taylor]: Taking taylor expansion of n in n 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [taylor]: Taking taylor expansion of f in n 2.909 * [backup-simplify]: Simplify f into f 2.909 * [taylor]: Taking taylor expansion of (- f n) in n 2.910 * [taylor]: Taking taylor expansion of f in n 2.910 * [backup-simplify]: Simplify f into f 2.910 * [taylor]: Taking taylor expansion of n in n 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (+ 0 f) into f 2.910 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify (+ f 0) into f 2.911 * [backup-simplify]: Simplify (/ f f) into 1 2.911 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.911 * [taylor]: Taking taylor expansion of -1 in f 2.911 * [backup-simplify]: Simplify -1 into -1 2.911 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.911 * [taylor]: Taking taylor expansion of (+ n f) in f 2.911 * [taylor]: Taking taylor expansion of n in f 2.911 * [backup-simplify]: Simplify n into n 2.911 * [taylor]: Taking taylor expansion of f in f 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [taylor]: Taking taylor expansion of (- f n) in f 2.911 * [taylor]: Taking taylor expansion of f in f 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [taylor]: Taking taylor expansion of n in f 2.911 * [backup-simplify]: Simplify n into n 2.911 * [backup-simplify]: Simplify (+ n 0) into n 2.911 * [backup-simplify]: Simplify (- n) into (- n) 2.911 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.911 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.911 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.911 * [taylor]: Taking taylor expansion of -1 in f 2.911 * [backup-simplify]: Simplify -1 into -1 2.911 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.911 * [taylor]: Taking taylor expansion of (+ n f) in f 2.911 * [taylor]: Taking taylor expansion of n in f 2.911 * [backup-simplify]: Simplify n into n 2.911 * [taylor]: Taking taylor expansion of f in f 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [taylor]: Taking taylor expansion of (- f n) in f 2.911 * [taylor]: Taking taylor expansion of f in f 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [taylor]: Taking taylor expansion of n in f 2.912 * [backup-simplify]: Simplify n into n 2.912 * [backup-simplify]: Simplify (+ n 0) into n 2.912 * [backup-simplify]: Simplify (- n) into (- n) 2.912 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.912 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.912 * [backup-simplify]: Simplify (* -1 -1) into 1 2.912 * [taylor]: Taking taylor expansion of 1 in n 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (+ 0 1) into 1 2.913 * [backup-simplify]: Simplify (- 0) into 0 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.914 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.914 * [taylor]: Taking taylor expansion of 2 in n 2.914 * [backup-simplify]: Simplify 2 into 2 2.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.914 * [taylor]: Taking taylor expansion of n in n 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (- 0) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.919 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.919 * [taylor]: Taking taylor expansion of 2 in n 2.919 * [backup-simplify]: Simplify 2 into 2 2.919 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.919 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.919 * [taylor]: Taking taylor expansion of n in n 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (* 1 1) into 1 2.919 * [backup-simplify]: Simplify (/ 1 1) into 1 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.927 * [backup-simplify]: Simplify (- 0) into 0 2.927 * [backup-simplify]: Simplify (+ 0 0) into 0 2.928 * [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)))) 2.929 * [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))) 2.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.929 * [taylor]: Taking taylor expansion of 2 in n 2.929 * [backup-simplify]: Simplify 2 into 2 2.929 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.929 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.929 * [taylor]: Taking taylor expansion of n in n 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (* 1 1) into 1 2.930 * [backup-simplify]: Simplify (* 1 1) into 1 2.930 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.940 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.940 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.940 * [taylor]: Taking taylor expansion of -1 in n 2.940 * [backup-simplify]: Simplify -1 into -1 2.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.940 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.940 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.940 * [taylor]: Taking taylor expansion of f in n 2.941 * [backup-simplify]: Simplify f into f 2.941 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.941 * [taylor]: Taking taylor expansion of n in n 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.941 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.941 * [taylor]: Taking taylor expansion of f in n 2.941 * [backup-simplify]: Simplify f into f 2.941 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.941 * [taylor]: Taking taylor expansion of n in n 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [backup-simplify]: Simplify (+ 0 1) into 1 2.943 * [backup-simplify]: Simplify (- 1) into -1 2.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.944 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.944 * [taylor]: Taking taylor expansion of -1 in f 2.944 * [backup-simplify]: Simplify -1 into -1 2.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.944 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.944 * [taylor]: Taking taylor expansion of f in f 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.944 * [taylor]: Taking taylor expansion of n in f 2.944 * [backup-simplify]: Simplify n into n 2.944 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.945 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.945 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.945 * [taylor]: Taking taylor expansion of f in f 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.945 * [taylor]: Taking taylor expansion of n in f 2.945 * [backup-simplify]: Simplify n into n 2.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.946 * [backup-simplify]: Simplify (+ 1 0) into 1 2.946 * [backup-simplify]: Simplify (+ 1 0) into 1 2.946 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.947 * [taylor]: Taking taylor expansion of -1 in f 2.947 * [backup-simplify]: Simplify -1 into -1 2.947 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.947 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.947 * [taylor]: Taking taylor expansion of f in f 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.947 * [taylor]: Taking taylor expansion of n in f 2.947 * [backup-simplify]: Simplify n into n 2.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.947 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.947 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.947 * [taylor]: Taking taylor expansion of f in f 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.948 * [taylor]: Taking taylor expansion of n in f 2.948 * [backup-simplify]: Simplify n into n 2.948 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.948 * [backup-simplify]: Simplify (+ 1 0) into 1 2.949 * [backup-simplify]: Simplify (+ 1 0) into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.950 * [backup-simplify]: Simplify (* -1 1) into -1 2.950 * [taylor]: Taking taylor expansion of -1 in n 2.950 * [backup-simplify]: Simplify -1 into -1 2.950 * [backup-simplify]: Simplify -1 into -1 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.951 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.952 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.952 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.952 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.952 * [taylor]: Taking taylor expansion of 2 in n 2.952 * [backup-simplify]: Simplify 2 into 2 2.952 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.952 * [taylor]: Taking taylor expansion of n in n 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (/ 1 1) into 1 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.955 * [backup-simplify]: Simplify (- 0) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.957 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.957 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.957 * [taylor]: Taking taylor expansion of 2 in n 2.957 * [backup-simplify]: Simplify 2 into 2 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.957 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.957 * [taylor]: Taking taylor expansion of n in n 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.957 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.960 * [backup-simplify]: Simplify (- 0) into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [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))) 2.965 * [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)))) 2.965 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.965 * [taylor]: Taking taylor expansion of 2 in n 2.965 * [backup-simplify]: Simplify 2 into 2 2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.965 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.965 * [taylor]: Taking taylor expansion of n in n 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify -1 into -1 2.972 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.972 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.972 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.972 * [taylor]: Taking taylor expansion of f in n 2.972 * [backup-simplify]: Simplify f into f 2.972 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.972 * [taylor]: Taking taylor expansion of n in n 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.972 * [taylor]: Taking taylor expansion of n in n 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.972 * [taylor]: Taking taylor expansion of f in n 2.972 * [backup-simplify]: Simplify f into f 2.972 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.973 * [backup-simplify]: Simplify (+ 0 1) into 1 2.973 * [backup-simplify]: Simplify (+ 1 0) into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.973 * [taylor]: Taking taylor expansion of f in f 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.974 * [taylor]: Taking taylor expansion of n in f 2.974 * [backup-simplify]: Simplify n into n 2.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.974 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.974 * [taylor]: Taking taylor expansion of n in f 2.974 * [backup-simplify]: Simplify n into n 2.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.974 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.974 * [taylor]: Taking taylor expansion of f in f 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [backup-simplify]: Simplify (+ 1 0) into 1 2.975 * [backup-simplify]: Simplify (- 1) into -1 2.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.975 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.975 * [taylor]: Taking taylor expansion of f in f 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.975 * [taylor]: Taking taylor expansion of n in f 2.975 * [backup-simplify]: Simplify n into n 2.975 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.975 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.976 * [taylor]: Taking taylor expansion of n in f 2.976 * [backup-simplify]: Simplify n into n 2.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.976 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.976 * [taylor]: Taking taylor expansion of f in f 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [backup-simplify]: Simplify (- 1) into -1 2.977 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.977 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.977 * [taylor]: Taking taylor expansion of -1 in n 2.977 * [backup-simplify]: Simplify -1 into -1 2.977 * [backup-simplify]: Simplify -1 into -1 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (- 0) into 0 2.978 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.978 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.978 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.978 * [taylor]: Taking taylor expansion of 2 in n 2.978 * [backup-simplify]: Simplify 2 into 2 2.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.978 * [taylor]: Taking taylor expansion of n in n 2.978 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.980 * [backup-simplify]: Simplify (- 0) into 0 2.980 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (- 0) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.985 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.985 * [taylor]: Taking taylor expansion of 2 in n 2.985 * [backup-simplify]: Simplify 2 into 2 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.985 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.985 * [taylor]: Taking taylor expansion of n in n 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* 1 1) into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.992 * [backup-simplify]: Simplify (- 0) into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.997 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.997 * [taylor]: Taking taylor expansion of 2 in n 2.997 * [backup-simplify]: Simplify 2 into 2 2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.997 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.997 * [taylor]: Taking taylor expansion of n in n 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (* 1 1) into 1 2.997 * [backup-simplify]: Simplify (* 1 1) into 1 2.998 * [backup-simplify]: Simplify (/ 1 1) into 1 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (- 0) into 0 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify -1 into -1 3.004 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.004 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 3.004 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 3.004 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 3.004 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.004 * [taylor]: Taking taylor expansion of -1 in n 3.004 * [backup-simplify]: Simplify -1 into -1 3.004 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.004 * [taylor]: Taking taylor expansion of (+ n f) in n 3.004 * [taylor]: Taking taylor expansion of n in n 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [taylor]: Taking taylor expansion of f in n 3.004 * [backup-simplify]: Simplify f into f 3.004 * [taylor]: Taking taylor expansion of (- f n) in n 3.004 * [taylor]: Taking taylor expansion of f in n 3.004 * [backup-simplify]: Simplify f into f 3.004 * [taylor]: Taking taylor expansion of n in n 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify (+ 0 f) into f 3.005 * [backup-simplify]: Simplify (- 0) into 0 3.005 * [backup-simplify]: Simplify (+ f 0) into f 3.005 * [backup-simplify]: Simplify (/ f f) into 1 3.005 * [backup-simplify]: Simplify (* -1 1) into -1 3.006 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.006 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.006 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.006 * [taylor]: Taking taylor expansion of -1 in f 3.006 * [backup-simplify]: Simplify -1 into -1 3.006 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.006 * [taylor]: Taking taylor expansion of (+ n f) in f 3.006 * [taylor]: Taking taylor expansion of n in f 3.006 * [backup-simplify]: Simplify n into n 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [taylor]: Taking taylor expansion of (- f n) in f 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [taylor]: Taking taylor expansion of n in f 3.006 * [backup-simplify]: Simplify n into n 3.006 * [backup-simplify]: Simplify (+ n 0) into n 3.006 * [backup-simplify]: Simplify (- n) into (- n) 3.006 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.006 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.006 * [backup-simplify]: Simplify (* -1 -1) into 1 3.006 * [backup-simplify]: Simplify (exp 1) into E 3.006 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.006 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.006 * [taylor]: Taking taylor expansion of -1 in f 3.006 * [backup-simplify]: Simplify -1 into -1 3.006 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.006 * [taylor]: Taking taylor expansion of (+ n f) in f 3.006 * [taylor]: Taking taylor expansion of n in f 3.006 * [backup-simplify]: Simplify n into n 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [taylor]: Taking taylor expansion of (- f n) in f 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [taylor]: Taking taylor expansion of n in f 3.007 * [backup-simplify]: Simplify n into n 3.007 * [backup-simplify]: Simplify (+ n 0) into n 3.007 * [backup-simplify]: Simplify (- n) into (- n) 3.007 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.007 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.007 * [backup-simplify]: Simplify (* -1 -1) into 1 3.007 * [backup-simplify]: Simplify (exp 1) into E 3.007 * [taylor]: Taking taylor expansion of E in n 3.007 * [backup-simplify]: Simplify E into E 3.007 * [backup-simplify]: Simplify E into E 3.008 * [backup-simplify]: Simplify (+ 0 1) into 1 3.008 * [backup-simplify]: Simplify (- 0) into 0 3.008 * [backup-simplify]: Simplify (+ 1 0) into 1 3.008 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.009 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.009 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.009 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 3.009 * [taylor]: Taking taylor expansion of 2 in n 3.009 * [backup-simplify]: Simplify 2 into 2 3.009 * [taylor]: Taking taylor expansion of (/ E n) in n 3.009 * [taylor]: Taking taylor expansion of E in n 3.009 * [backup-simplify]: Simplify E into E 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (/ E 1) into E 3.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.011 * [backup-simplify]: Simplify (- 0) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.012 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.013 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.013 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 3.013 * [taylor]: Taking taylor expansion of 4 in n 3.013 * [backup-simplify]: Simplify 4 into 4 3.013 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 3.013 * [taylor]: Taking taylor expansion of E in n 3.013 * [backup-simplify]: Simplify E into E 3.013 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.013 * [taylor]: Taking taylor expansion of n in n 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (* 1 1) into 1 3.013 * [backup-simplify]: Simplify (/ E 1) into E 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (- 0) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.021 * [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)))) 3.021 * [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))) 3.022 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.022 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 3.022 * [taylor]: Taking taylor expansion of 22/3 in n 3.022 * [backup-simplify]: Simplify 22/3 into 22/3 3.022 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 3.022 * [taylor]: Taking taylor expansion of E in n 3.022 * [backup-simplify]: Simplify E into E 3.022 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.022 * [taylor]: Taking taylor expansion of n in n 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.023 * [backup-simplify]: Simplify (/ E 1) into E 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify E into E 3.028 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 3.028 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 3.028 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.029 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.029 * [taylor]: Taking taylor expansion of -1 in n 3.029 * [backup-simplify]: Simplify -1 into -1 3.029 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.029 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.029 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.029 * [taylor]: Taking taylor expansion of f in n 3.029 * [backup-simplify]: Simplify f into f 3.029 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.029 * [taylor]: Taking taylor expansion of n in n 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.029 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.029 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.029 * [taylor]: Taking taylor expansion of f in n 3.029 * [backup-simplify]: Simplify f into f 3.029 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.029 * [taylor]: Taking taylor expansion of n in n 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [backup-simplify]: Simplify (+ 0 1) into 1 3.030 * [backup-simplify]: Simplify (- 1) into -1 3.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.030 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.031 * [backup-simplify]: Simplify (* -1 -1) into 1 3.031 * [backup-simplify]: Simplify (exp 1) into E 3.031 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.031 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.031 * [taylor]: Taking taylor expansion of -1 in f 3.031 * [backup-simplify]: Simplify -1 into -1 3.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.031 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.031 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.031 * [taylor]: Taking taylor expansion of f in f 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (/ 1 1) into 1 3.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.031 * [taylor]: Taking taylor expansion of n in f 3.031 * [backup-simplify]: Simplify n into n 3.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.031 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.031 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.031 * [taylor]: Taking taylor expansion of f in f 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (/ 1 1) into 1 3.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.032 * [taylor]: Taking taylor expansion of n in f 3.032 * [backup-simplify]: Simplify n into n 3.032 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.032 * [backup-simplify]: Simplify (+ 1 0) into 1 3.032 * [backup-simplify]: Simplify (+ 1 0) into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.033 * [backup-simplify]: Simplify (* -1 1) into -1 3.033 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.033 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.033 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.033 * [taylor]: Taking taylor expansion of -1 in f 3.033 * [backup-simplify]: Simplify -1 into -1 3.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.033 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.033 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.033 * [taylor]: Taking taylor expansion of f in f 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (/ 1 1) into 1 3.033 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.033 * [taylor]: Taking taylor expansion of n in f 3.033 * [backup-simplify]: Simplify n into n 3.033 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.033 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.033 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.033 * [taylor]: Taking taylor expansion of f in f 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.034 * [taylor]: Taking taylor expansion of n in f 3.034 * [backup-simplify]: Simplify n into n 3.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.034 * [backup-simplify]: Simplify (+ 1 0) into 1 3.034 * [backup-simplify]: Simplify (+ 1 0) into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [backup-simplify]: Simplify (* -1 1) into -1 3.035 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.035 * [taylor]: Taking taylor expansion of (exp -1) in n 3.035 * [taylor]: Taking taylor expansion of -1 in n 3.035 * [backup-simplify]: Simplify -1 into -1 3.035 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.036 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.037 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.037 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.038 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.038 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.038 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 3.038 * [taylor]: Taking taylor expansion of -2 in n 3.038 * [backup-simplify]: Simplify -2 into -2 3.038 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.038 * [taylor]: Taking taylor expansion of (exp -1) in n 3.038 * [taylor]: Taking taylor expansion of -1 in n 3.038 * [backup-simplify]: Simplify -1 into -1 3.038 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.038 * [taylor]: Taking taylor expansion of n in n 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.040 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 3.041 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.043 * [backup-simplify]: Simplify (- 0) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.045 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.045 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.045 * [taylor]: Taking taylor expansion of 0 in n 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.052 * [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))) 3.054 * [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)))) 3.055 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.055 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.055 * [taylor]: Taking taylor expansion of 2/3 in n 3.055 * [backup-simplify]: Simplify 2/3 into 2/3 3.055 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.055 * [taylor]: Taking taylor expansion of (exp -1) in n 3.055 * [taylor]: Taking taylor expansion of -1 in n 3.055 * [backup-simplify]: Simplify -1 into -1 3.056 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.056 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.056 * [taylor]: Taking taylor expansion of n in n 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (* 1 1) into 1 3.057 * [backup-simplify]: Simplify (* 1 1) into 1 3.057 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.060 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.068 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.073 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 3.073 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 3.073 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.073 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.073 * [taylor]: Taking taylor expansion of f in n 3.073 * [backup-simplify]: Simplify f into f 3.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.073 * [taylor]: Taking taylor expansion of n in n 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (/ 1 1) into 1 3.074 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.074 * [taylor]: Taking taylor expansion of n in n 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (/ 1 1) into 1 3.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.074 * [taylor]: Taking taylor expansion of f in n 3.074 * [backup-simplify]: Simplify f into f 3.075 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.075 * [backup-simplify]: Simplify (+ 0 1) into 1 3.075 * [backup-simplify]: Simplify (+ 1 0) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [backup-simplify]: Simplify (exp 1) into E 3.076 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.076 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.076 * [taylor]: Taking taylor expansion of f in f 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.076 * [taylor]: Taking taylor expansion of n in f 3.076 * [backup-simplify]: Simplify n into n 3.076 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.076 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.076 * [taylor]: Taking taylor expansion of n in f 3.076 * [backup-simplify]: Simplify n into n 3.076 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.076 * [taylor]: Taking taylor expansion of f in f 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.077 * [backup-simplify]: Simplify (+ 1 0) into 1 3.077 * [backup-simplify]: Simplify (- 1) into -1 3.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.077 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.078 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.078 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.078 * [taylor]: Taking taylor expansion of f in f 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (/ 1 1) into 1 3.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.078 * [taylor]: Taking taylor expansion of n in f 3.078 * [backup-simplify]: Simplify n into n 3.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.078 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.078 * [taylor]: Taking taylor expansion of n in f 3.078 * [backup-simplify]: Simplify n into n 3.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.078 * [taylor]: Taking taylor expansion of f in f 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (/ 1 1) into 1 3.079 * [backup-simplify]: Simplify (+ 1 0) into 1 3.079 * [backup-simplify]: Simplify (- 1) into -1 3.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.080 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.080 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.080 * [taylor]: Taking taylor expansion of (exp -1) in n 3.080 * [taylor]: Taking taylor expansion of -1 in n 3.080 * [backup-simplify]: Simplify -1 into -1 3.080 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.080 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (- 0) into 0 3.082 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.082 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.082 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.082 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 3.082 * [taylor]: Taking taylor expansion of -2 in n 3.082 * [backup-simplify]: Simplify -2 into -2 3.082 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.082 * [taylor]: Taking taylor expansion of (exp -1) in n 3.082 * [taylor]: Taking taylor expansion of -1 in n 3.082 * [backup-simplify]: Simplify -1 into -1 3.083 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.083 * [taylor]: Taking taylor expansion of n in n 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.084 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.087 * [backup-simplify]: Simplify (+ 0 0) into 0 3.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (- 0) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.089 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.089 * [taylor]: Taking taylor expansion of 0 in n 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- 0) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [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)))) 3.096 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.096 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.096 * [taylor]: Taking taylor expansion of 2/3 in n 3.096 * [backup-simplify]: Simplify 2/3 into 2/3 3.097 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.097 * [taylor]: Taking taylor expansion of (exp -1) in n 3.097 * [taylor]: Taking taylor expansion of -1 in n 3.097 * [backup-simplify]: Simplify -1 into -1 3.097 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.097 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.097 * [taylor]: Taking taylor expansion of n in n 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (* 1 1) into 1 3.097 * [backup-simplify]: Simplify (* 1 1) into 1 3.098 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.099 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.104 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.107 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.107 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 3.107 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.107 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.107 * [taylor]: Taking taylor expansion of -1 in n 3.107 * [backup-simplify]: Simplify -1 into -1 3.107 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.107 * [taylor]: Taking taylor expansion of (+ n f) in n 3.107 * [taylor]: Taking taylor expansion of n in n 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of f in n 3.107 * [backup-simplify]: Simplify f into f 3.107 * [taylor]: Taking taylor expansion of (- f n) in n 3.107 * [taylor]: Taking taylor expansion of f in n 3.107 * [backup-simplify]: Simplify f into f 3.107 * [taylor]: Taking taylor expansion of n in n 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (+ 0 f) into f 3.107 * [backup-simplify]: Simplify (- 0) into 0 3.108 * [backup-simplify]: Simplify (+ f 0) into f 3.108 * [backup-simplify]: Simplify (/ f f) into 1 3.108 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.108 * [taylor]: Taking taylor expansion of -1 in f 3.108 * [backup-simplify]: Simplify -1 into -1 3.108 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.108 * [taylor]: Taking taylor expansion of (+ n f) in f 3.108 * [taylor]: Taking taylor expansion of n in f 3.108 * [backup-simplify]: Simplify n into n 3.108 * [taylor]: Taking taylor expansion of f in f 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [taylor]: Taking taylor expansion of (- f n) in f 3.108 * [taylor]: Taking taylor expansion of f in f 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [taylor]: Taking taylor expansion of n in f 3.108 * [backup-simplify]: Simplify n into n 3.108 * [backup-simplify]: Simplify (+ n 0) into n 3.108 * [backup-simplify]: Simplify (- n) into (- n) 3.108 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.108 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.108 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.108 * [taylor]: Taking taylor expansion of -1 in f 3.108 * [backup-simplify]: Simplify -1 into -1 3.108 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.108 * [taylor]: Taking taylor expansion of (+ n f) in f 3.108 * [taylor]: Taking taylor expansion of n in f 3.108 * [backup-simplify]: Simplify n into n 3.108 * [taylor]: Taking taylor expansion of f in f 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [taylor]: Taking taylor expansion of (- f n) in f 3.108 * [taylor]: Taking taylor expansion of f in f 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [taylor]: Taking taylor expansion of n in f 3.108 * [backup-simplify]: Simplify n into n 3.108 * [backup-simplify]: Simplify (+ n 0) into n 3.108 * [backup-simplify]: Simplify (- n) into (- n) 3.108 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.108 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.109 * [backup-simplify]: Simplify (* -1 -1) into 1 3.109 * [taylor]: Taking taylor expansion of 1 in n 3.109 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (+ 0 1) into 1 3.109 * [backup-simplify]: Simplify (- 0) into 0 3.109 * [backup-simplify]: Simplify (+ 1 0) into 1 3.110 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.110 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.110 * [taylor]: Taking taylor expansion of 2 in n 3.110 * [backup-simplify]: Simplify 2 into 2 3.110 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.110 * [taylor]: Taking taylor expansion of n in n 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [backup-simplify]: Simplify (- 0) into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.113 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.113 * [taylor]: Taking taylor expansion of 2 in n 3.113 * [backup-simplify]: Simplify 2 into 2 3.113 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.113 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.113 * [taylor]: Taking taylor expansion of n in n 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (* 1 1) into 1 3.113 * [backup-simplify]: Simplify (/ 1 1) into 1 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (- 0) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [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)))) 3.120 * [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))) 3.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.120 * [taylor]: Taking taylor expansion of 2 in n 3.120 * [backup-simplify]: Simplify 2 into 2 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.120 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.120 * [taylor]: Taking taylor expansion of n in n 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.126 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.126 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.126 * [taylor]: Taking taylor expansion of -1 in n 3.126 * [backup-simplify]: Simplify -1 into -1 3.126 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.126 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.126 * [taylor]: Taking taylor expansion of f in n 3.126 * [backup-simplify]: Simplify f into f 3.126 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.126 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.126 * [taylor]: Taking taylor expansion of n in n 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.127 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.127 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.127 * [taylor]: Taking taylor expansion of f in n 3.127 * [backup-simplify]: Simplify f into f 3.127 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.127 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.127 * [taylor]: Taking taylor expansion of n in n 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.127 * [backup-simplify]: Simplify (+ 0 1) into 1 3.128 * [backup-simplify]: Simplify (- 1) into -1 3.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.128 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.128 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.128 * [taylor]: Taking taylor expansion of -1 in f 3.128 * [backup-simplify]: Simplify -1 into -1 3.128 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.128 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.128 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.128 * [taylor]: Taking taylor expansion of f in f 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.129 * [taylor]: Taking taylor expansion of n in f 3.129 * [backup-simplify]: Simplify n into n 3.129 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.129 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.129 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.129 * [taylor]: Taking taylor expansion of f in f 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.129 * [taylor]: Taking taylor expansion of n in f 3.129 * [backup-simplify]: Simplify n into n 3.129 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.129 * [backup-simplify]: Simplify (+ 1 0) into 1 3.130 * [backup-simplify]: Simplify (+ 1 0) into 1 3.130 * [backup-simplify]: Simplify (/ 1 1) into 1 3.130 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.130 * [taylor]: Taking taylor expansion of -1 in f 3.130 * [backup-simplify]: Simplify -1 into -1 3.130 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.130 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.130 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.130 * [taylor]: Taking taylor expansion of f in f 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (/ 1 1) into 1 3.130 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.130 * [taylor]: Taking taylor expansion of n in f 3.130 * [backup-simplify]: Simplify n into n 3.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.130 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.130 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.130 * [taylor]: Taking taylor expansion of f in f 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (/ 1 1) into 1 3.131 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.131 * [taylor]: Taking taylor expansion of n in f 3.131 * [backup-simplify]: Simplify n into n 3.131 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.131 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (/ 1 1) into 1 3.132 * [backup-simplify]: Simplify (* -1 1) into -1 3.132 * [taylor]: Taking taylor expansion of -1 in n 3.132 * [backup-simplify]: Simplify -1 into -1 3.132 * [backup-simplify]: Simplify -1 into -1 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.133 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.133 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.133 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.133 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.133 * [taylor]: Taking taylor expansion of 2 in n 3.133 * [backup-simplify]: Simplify 2 into 2 3.133 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.133 * [taylor]: Taking taylor expansion of n in n 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 1 into 1 3.134 * [backup-simplify]: Simplify (/ 1 1) into 1 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.135 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.136 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.137 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.138 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.138 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.138 * [taylor]: Taking taylor expansion of 2 in n 3.138 * [backup-simplify]: Simplify 2 into 2 3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.138 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.138 * [taylor]: Taking taylor expansion of n in n 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (* 1 1) into 1 3.139 * [backup-simplify]: Simplify (/ 1 1) into 1 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.141 * [backup-simplify]: Simplify (- 0) into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.143 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.145 * [backup-simplify]: Simplify (- 0) into 0 3.145 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [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))) 3.147 * [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)))) 3.147 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.147 * [taylor]: Taking taylor expansion of 2 in n 3.147 * [backup-simplify]: Simplify 2 into 2 3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.147 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.147 * [taylor]: Taking taylor expansion of n in n 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.153 * [backup-simplify]: Simplify (- 0) into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify -1 into -1 3.153 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.153 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.153 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.153 * [taylor]: Taking taylor expansion of f in n 3.153 * [backup-simplify]: Simplify f into f 3.153 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.153 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.153 * [taylor]: Taking taylor expansion of n in n 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (/ 1 1) into 1 3.154 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.154 * [taylor]: Taking taylor expansion of n in n 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (/ 1 1) into 1 3.154 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.154 * [taylor]: Taking taylor expansion of f in n 3.154 * [backup-simplify]: Simplify f into f 3.154 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.154 * [backup-simplify]: Simplify (+ 0 1) into 1 3.155 * [backup-simplify]: Simplify (+ 1 0) into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.155 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.155 * [taylor]: Taking taylor expansion of f in f 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.155 * [taylor]: Taking taylor expansion of n in f 3.155 * [backup-simplify]: Simplify n into n 3.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.155 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.155 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.155 * [taylor]: Taking taylor expansion of n in f 3.155 * [backup-simplify]: Simplify n into n 3.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.155 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.155 * [taylor]: Taking taylor expansion of f in f 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (/ 1 1) into 1 3.156 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [backup-simplify]: Simplify (- 1) into -1 3.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.157 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.157 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.157 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.157 * [taylor]: Taking taylor expansion of f in f 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ 1 1) into 1 3.157 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.157 * [taylor]: Taking taylor expansion of n in f 3.157 * [backup-simplify]: Simplify n into n 3.157 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.157 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.157 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.157 * [taylor]: Taking taylor expansion of n in f 3.157 * [backup-simplify]: Simplify n into n 3.157 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.157 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.157 * [taylor]: Taking taylor expansion of f in f 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ 1 1) into 1 3.158 * [backup-simplify]: Simplify (+ 1 0) into 1 3.158 * [backup-simplify]: Simplify (- 1) into -1 3.158 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.159 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.159 * [taylor]: Taking taylor expansion of -1 in n 3.159 * [backup-simplify]: Simplify -1 into -1 3.159 * [backup-simplify]: Simplify -1 into -1 3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.160 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.160 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.160 * [taylor]: Taking taylor expansion of 2 in n 3.160 * [backup-simplify]: Simplify 2 into 2 3.160 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (- 0) into 0 3.164 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.165 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.165 * [taylor]: Taking taylor expansion of 2 in n 3.165 * [backup-simplify]: Simplify 2 into 2 3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.165 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.165 * [taylor]: Taking taylor expansion of n in n 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (* 1 1) into 1 3.165 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.169 * [backup-simplify]: Simplify (- 0) into 0 3.169 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (- 0) into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [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)))) 3.176 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.176 * [taylor]: Taking taylor expansion of 2 in n 3.176 * [backup-simplify]: Simplify 2 into 2 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.176 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.176 * [taylor]: Taking taylor expansion of n in n 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 1 into 1 3.176 * [backup-simplify]: Simplify (* 1 1) into 1 3.177 * [backup-simplify]: Simplify (* 1 1) into 1 3.177 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (- 0) into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify -1 into -1 3.185 * * * [progress]: simplifying candidates 3.191 * [simplify]: Simplifying: (- (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 (- (+ 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(exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (sqrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 3.197 * * [simplify]: iteration 0: 241 enodes 3.280 * * [simplify]: iteration 1: 439 enodes 3.391 * * [simplify]: iteration 2: 917 enodes 3.734 * * [simplify]: iteration 3: 2766 enodes 4.565 * * [simplify]: iteration complete: 5000 enodes 4.565 * * [simplify]: Extracting #0: cost 132 inf + 0 4.568 * * [simplify]: Extracting #1: cost 701 inf + 4 4.574 * * [simplify]: Extracting #2: cost 1223 inf + 205 4.589 * * [simplify]: Extracting #3: cost 1407 inf + 19359 4.636 * * [simplify]: Extracting #4: cost 701 inf + 152557 4.698 * * [simplify]: Extracting #5: cost 148 inf + 296089 4.775 * * [simplify]: Extracting #6: cost 45 inf + 334318 4.838 * * [simplify]: Extracting #7: cost 5 inf + 342594 4.921 * * [simplify]: Extracting #8: cost 0 inf + 343859 5.005 * [simplify]: Simplified to: (log (/ (- (- f) n) (- 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) (+ 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 n) (sqrt f))) (/ (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 n) (sqrt f))) (/ (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 n) (sqrt f))) (/ (- (- 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 n) (sqrt f))) (/ (+ 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 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(sqrt f))) (- (cbrt (+ f n)))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (- (sqrt (+ f n))) (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (- (sqrt (+ f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (sqrt (+ f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 1 (- (- f) n) (/ (- (- f) n) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (log (/ (- (- f) n) (- f n))) (exp (/ (- (- 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))) 1 -1 -1 E (/ 1 E) (/ 1 E) 1 -1 -1 5.022 * * * [progress]: adding candidates to table 6.178 * * [progress]: iteration 3 / 4 6.178 * * * [progress]: picking best candidate 6.186 * * * * [pick]: Picked # 6.186 * * * [progress]: localizing error 6.220 * * * [progress]: generating rewritten candidates 6.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.462 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.498 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 6.537 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.650 * * * [progress]: generating series expansions 6.650 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.651 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) into (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) 6.651 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in (f n) around 0 6.651 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in n 6.651 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.651 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.651 * [taylor]: Taking taylor expansion of -1 in n 6.651 * [backup-simplify]: Simplify -1 into -1 6.652 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.652 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.652 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 6.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 6.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 6.652 * [taylor]: Taking taylor expansion of 1/3 in n 6.652 * [backup-simplify]: Simplify 1/3 into 1/3 6.652 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 6.652 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 6.652 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 6.652 * [taylor]: Taking taylor expansion of (+ n f) in n 6.652 * [taylor]: Taking taylor expansion of n in n 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.652 * [taylor]: Taking taylor expansion of f in n 6.652 * [backup-simplify]: Simplify f into f 6.652 * [backup-simplify]: Simplify (+ 0 f) into f 6.652 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 6.652 * [taylor]: Taking taylor expansion of (- f n) in n 6.652 * [taylor]: Taking taylor expansion of f in n 6.652 * [backup-simplify]: Simplify f into f 6.652 * [taylor]: Taking taylor expansion of n in n 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify (- 0) into 0 6.653 * [backup-simplify]: Simplify (+ f 0) into f 6.653 * [backup-simplify]: Simplify (* f f) into (pow f 2) 6.653 * [backup-simplify]: Simplify (* f f) into (pow f 2) 6.653 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 6.653 * [backup-simplify]: Simplify (log 1) into 0 6.654 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.654 * [backup-simplify]: Simplify (+ 1 0) into 1 6.654 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 6.655 * [backup-simplify]: Simplify (- 1) into -1 6.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.655 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 6.655 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 6.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 6.656 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 6.656 * [backup-simplify]: Simplify (exp 0) into 1 6.656 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 6.656 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.656 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.656 * [taylor]: Taking taylor expansion of -1 in f 6.656 * [backup-simplify]: Simplify -1 into -1 6.656 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.657 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.657 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 6.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 6.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 6.657 * [taylor]: Taking taylor expansion of 1/3 in f 6.657 * [backup-simplify]: Simplify 1/3 into 1/3 6.657 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 6.657 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 6.657 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 6.657 * [taylor]: Taking taylor expansion of (+ n f) in f 6.657 * [taylor]: Taking taylor expansion of n in f 6.657 * [backup-simplify]: Simplify n into n 6.657 * [taylor]: Taking taylor expansion of f in f 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (+ n 0) into n 6.657 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 6.657 * [taylor]: Taking taylor expansion of (- f n) in f 6.657 * [taylor]: Taking taylor expansion of f in f 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [taylor]: Taking taylor expansion of n in f 6.657 * [backup-simplify]: Simplify n into n 6.657 * [backup-simplify]: Simplify (- n) into (- n) 6.657 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.657 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.657 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 6.657 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 6.658 * [backup-simplify]: Simplify (log 1) into 0 6.658 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.658 * [backup-simplify]: Simplify (+ 0 1) into 1 6.658 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 6.658 * [backup-simplify]: Simplify (- 0) into 0 6.659 * [backup-simplify]: Simplify (+ 1 0) into 1 6.659 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 6.659 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 6.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.660 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.660 * [backup-simplify]: Simplify (exp 0) into 1 6.660 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 6.660 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.660 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.660 * [taylor]: Taking taylor expansion of -1 in f 6.660 * [backup-simplify]: Simplify -1 into -1 6.660 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.661 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.661 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 6.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 6.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 6.661 * [taylor]: Taking taylor expansion of 1/3 in f 6.661 * [backup-simplify]: Simplify 1/3 into 1/3 6.661 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 6.661 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 6.661 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 6.661 * [taylor]: Taking taylor expansion of (+ n f) in f 6.661 * [taylor]: Taking taylor expansion of n in f 6.661 * [backup-simplify]: Simplify n into n 6.661 * [taylor]: Taking taylor expansion of f in f 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (+ n 0) into n 6.661 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 6.661 * [taylor]: Taking taylor expansion of (- f n) in f 6.661 * [taylor]: Taking taylor expansion of f in f 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [taylor]: Taking taylor expansion of n in f 6.661 * [backup-simplify]: Simplify n into n 6.661 * [backup-simplify]: Simplify (- n) into (- n) 6.661 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.661 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.661 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 6.661 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 6.661 * [backup-simplify]: Simplify (log 1) into 0 6.662 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.662 * [backup-simplify]: Simplify (+ 0 1) into 1 6.662 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 6.662 * [backup-simplify]: Simplify (- 0) into 0 6.663 * [backup-simplify]: Simplify (+ 1 0) into 1 6.663 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 6.663 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 6.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.664 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.664 * [backup-simplify]: Simplify (exp 0) into 1 6.665 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.666 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.666 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.666 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.666 * [taylor]: Taking taylor expansion of -1 in n 6.666 * [backup-simplify]: Simplify -1 into -1 6.666 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.667 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.667 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.668 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.668 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 6.669 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.670 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 4/3 n)) (* 0 1)) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 6.670 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 6.670 * [taylor]: Taking taylor expansion of 4/3 in n 6.670 * [backup-simplify]: Simplify 4/3 into 4/3 6.670 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 6.670 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.670 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.670 * [taylor]: Taking taylor expansion of -1 in n 6.670 * [backup-simplify]: Simplify -1 into -1 6.670 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.671 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.671 * [taylor]: Taking taylor expansion of n in n 6.671 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify 1 into 1 6.672 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.673 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.673 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.676 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify (+ 0 0) into 0 6.677 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 6.678 * [backup-simplify]: Simplify (- 0) into 0 6.678 * [backup-simplify]: Simplify (+ 0 0) into 0 6.678 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 6.679 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 6.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 6.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 6.682 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 6.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.685 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.687 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 6.687 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 6.687 * [taylor]: Taking taylor expansion of 8/9 in n 6.687 * [backup-simplify]: Simplify 8/9 into 8/9 6.687 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 6.687 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.687 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.688 * [taylor]: Taking taylor expansion of -1 in n 6.688 * [backup-simplify]: Simplify -1 into -1 6.688 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.689 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.689 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.689 * [taylor]: Taking taylor expansion of n in n 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.691 * [backup-simplify]: Simplify (* 1 1) into 1 6.692 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.695 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.697 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.702 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.704 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.707 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.707 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.710 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify (+ 0 0) into 0 6.720 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 6.721 * [backup-simplify]: Simplify (- 0) into 0 6.721 * [backup-simplify]: Simplify (+ 0 0) into 0 6.722 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 6.723 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 6.726 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 6.727 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 6.728 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 6.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.731 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.733 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 68/81 (pow n 3))) (+ (* 0 (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1)))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 6.733 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 6.733 * [taylor]: Taking taylor expansion of 68/81 in n 6.733 * [backup-simplify]: Simplify 68/81 into 68/81 6.733 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 6.733 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.733 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.733 * [taylor]: Taking taylor expansion of -1 in n 6.733 * [backup-simplify]: Simplify -1 into -1 6.733 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.734 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.734 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.734 * [taylor]: Taking taylor expansion of n in n 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify 1 into 1 6.735 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.736 * [backup-simplify]: Simplify (* 1 1) into 1 6.736 * [backup-simplify]: Simplify (* 1 1) into 1 6.738 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.742 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.751 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.758 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) 6.758 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in (f n) around 0 6.758 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in n 6.758 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 6.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 6.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 6.758 * [taylor]: Taking taylor expansion of 1/3 in n 6.758 * [backup-simplify]: Simplify 1/3 into 1/3 6.758 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 6.758 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 6.759 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 6.759 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.759 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.759 * [taylor]: Taking taylor expansion of f in n 6.759 * [backup-simplify]: Simplify f into f 6.759 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.759 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.759 * [taylor]: Taking taylor expansion of n in n 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 1 into 1 6.759 * [backup-simplify]: Simplify (/ 1 1) into 1 6.760 * [backup-simplify]: Simplify (+ 0 1) into 1 6.760 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 6.760 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.760 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.760 * [taylor]: Taking taylor expansion of f in n 6.760 * [backup-simplify]: Simplify f into f 6.760 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.760 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.760 * [taylor]: Taking taylor expansion of n in n 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 1 into 1 6.760 * [backup-simplify]: Simplify (/ 1 1) into 1 6.761 * [backup-simplify]: Simplify (- 1) into -1 6.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.762 * [backup-simplify]: Simplify (* 1 1) into 1 6.762 * [backup-simplify]: Simplify (* -1 -1) into 1 6.762 * [backup-simplify]: Simplify (/ 1 1) into 1 6.763 * [backup-simplify]: Simplify (log 1) into 0 6.763 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.764 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 6.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.765 * [backup-simplify]: Simplify (- 0) into 0 6.765 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.765 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 6.766 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 6.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 6.767 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 6.767 * [backup-simplify]: Simplify (exp 0) into 1 6.767 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.767 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.767 * [taylor]: Taking taylor expansion of -1 in n 6.767 * [backup-simplify]: Simplify -1 into -1 6.767 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.768 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.768 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 6.768 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 6.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 6.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 6.768 * [taylor]: Taking taylor expansion of 1/3 in f 6.768 * [backup-simplify]: Simplify 1/3 into 1/3 6.768 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 6.768 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 6.768 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.768 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.768 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.768 * [taylor]: Taking taylor expansion of f in f 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (/ 1 1) into 1 6.769 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.769 * [taylor]: Taking taylor expansion of n in f 6.769 * [backup-simplify]: Simplify n into n 6.769 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.769 * [backup-simplify]: Simplify (+ 1 0) into 1 6.769 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 6.769 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.769 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.769 * [taylor]: Taking taylor expansion of f in f 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.770 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.770 * [taylor]: Taking taylor expansion of n in f 6.770 * [backup-simplify]: Simplify n into n 6.770 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.771 * [backup-simplify]: Simplify (+ 1 0) into 1 6.771 * [backup-simplify]: Simplify (* 1 1) into 1 6.771 * [backup-simplify]: Simplify (* 1 1) into 1 6.772 * [backup-simplify]: Simplify (/ 1 1) into 1 6.772 * [backup-simplify]: Simplify (log 1) into 0 6.772 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.773 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.775 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.775 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 6.775 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.776 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.777 * [backup-simplify]: Simplify (exp 0) into 1 6.777 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.777 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.777 * [taylor]: Taking taylor expansion of -1 in f 6.777 * [backup-simplify]: Simplify -1 into -1 6.777 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.778 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.778 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 6.778 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 6.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 6.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 6.778 * [taylor]: Taking taylor expansion of 1/3 in f 6.778 * [backup-simplify]: Simplify 1/3 into 1/3 6.778 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 6.778 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 6.778 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.778 * [taylor]: Taking taylor expansion of f in f 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 1 into 1 6.779 * [backup-simplify]: Simplify (/ 1 1) into 1 6.779 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.779 * [taylor]: Taking taylor expansion of n in f 6.779 * [backup-simplify]: Simplify n into n 6.779 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.779 * [backup-simplify]: Simplify (+ 1 0) into 1 6.779 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 6.780 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.780 * [taylor]: Taking taylor expansion of f in f 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (/ 1 1) into 1 6.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.780 * [taylor]: Taking taylor expansion of n in f 6.780 * [backup-simplify]: Simplify n into n 6.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.781 * [backup-simplify]: Simplify (+ 1 0) into 1 6.781 * [backup-simplify]: Simplify (* 1 1) into 1 6.781 * [backup-simplify]: Simplify (* 1 1) into 1 6.782 * [backup-simplify]: Simplify (/ 1 1) into 1 6.782 * [backup-simplify]: Simplify (log 1) into 0 6.783 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.783 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.784 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.785 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.785 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.785 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 6.785 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.786 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.786 * [backup-simplify]: Simplify (exp 0) into 1 6.786 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.786 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.786 * [taylor]: Taking taylor expansion of -1 in f 6.787 * [backup-simplify]: Simplify -1 into -1 6.787 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.788 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.789 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.791 * [backup-simplify]: Simplify (* 1 (pow (cbrt -1) 2)) into (pow (cbrt -1) 2) 6.791 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.791 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.791 * [taylor]: Taking taylor expansion of -1 in n 6.791 * [backup-simplify]: Simplify -1 into -1 6.792 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.793 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.794 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.795 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.796 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.796 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 6.798 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 4/3 n) (pow (cbrt -1) 2))) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 6.798 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 6.798 * [taylor]: Taking taylor expansion of 4/3 in n 6.798 * [backup-simplify]: Simplify 4/3 into 4/3 6.798 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 6.798 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.798 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.798 * [taylor]: Taking taylor expansion of -1 in n 6.798 * [backup-simplify]: Simplify -1 into -1 6.799 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.799 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.800 * [taylor]: Taking taylor expansion of n in n 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.801 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.803 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.804 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.806 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 6.806 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.807 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.810 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.812 * [backup-simplify]: Simplify (+ 0 0) into 0 6.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 6.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.814 * [backup-simplify]: Simplify (- 0) into 0 6.815 * [backup-simplify]: Simplify (+ 0 0) into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 6.817 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 6.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 6.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 6.819 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 6.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (* (/ 8/9 (pow n 2)) (pow (cbrt -1) 2)))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 6.821 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 6.821 * [taylor]: Taking taylor expansion of 8/9 in n 6.821 * [backup-simplify]: Simplify 8/9 into 8/9 6.821 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 6.821 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.821 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.821 * [taylor]: Taking taylor expansion of -1 in n 6.821 * [backup-simplify]: Simplify -1 into -1 6.821 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.822 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.822 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.822 * [taylor]: Taking taylor expansion of n in n 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.823 * [backup-simplify]: Simplify (* 1 1) into 1 6.824 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.825 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.826 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.829 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.829 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.831 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.832 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.834 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.834 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.836 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.837 * [backup-simplify]: Simplify (+ 0 0) into 0 6.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.838 * [backup-simplify]: Simplify (- 0) into 0 6.839 * [backup-simplify]: Simplify (+ 0 0) into 0 6.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 6.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 6.841 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 6.842 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 6.843 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 6.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (+ (* (/ 8/9 (pow n 2)) 0) (* (/ 68/81 (pow n 3)) (pow (cbrt -1) 2))))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 6.844 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 6.844 * [taylor]: Taking taylor expansion of 68/81 in n 6.844 * [backup-simplify]: Simplify 68/81 into 68/81 6.844 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 6.844 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.844 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.844 * [taylor]: Taking taylor expansion of -1 in n 6.844 * [backup-simplify]: Simplify -1 into -1 6.845 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.845 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.845 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.845 * [taylor]: Taking taylor expansion of n in n 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.846 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.846 * [backup-simplify]: Simplify (* 1 1) into 1 6.847 * [backup-simplify]: Simplify (* 1 1) into 1 6.848 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.852 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.857 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.861 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 6.861 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 6.861 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 6.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 6.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 6.861 * [taylor]: Taking taylor expansion of 1/3 in n 6.861 * [backup-simplify]: Simplify 1/3 into 1/3 6.861 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 6.861 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 6.861 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 6.861 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.861 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.861 * [taylor]: Taking taylor expansion of f in n 6.861 * [backup-simplify]: Simplify f into f 6.861 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.861 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.861 * [taylor]: Taking taylor expansion of n in n 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 1 into 1 6.861 * [backup-simplify]: Simplify (/ 1 1) into 1 6.861 * [backup-simplify]: Simplify (+ 0 1) into 1 6.861 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 6.861 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.861 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.861 * [taylor]: Taking taylor expansion of n in n 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 1 into 1 6.862 * [backup-simplify]: Simplify (/ 1 1) into 1 6.862 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.862 * [taylor]: Taking taylor expansion of f in n 6.862 * [backup-simplify]: Simplify f into f 6.862 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.862 * [backup-simplify]: Simplify (+ 1 0) into 1 6.862 * [backup-simplify]: Simplify (* 1 1) into 1 6.863 * [backup-simplify]: Simplify (* 1 1) into 1 6.863 * [backup-simplify]: Simplify (/ 1 1) into 1 6.863 * [backup-simplify]: Simplify (log 1) into 0 6.863 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.864 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 6.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 6.864 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 6.865 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 6.865 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 6.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 6.865 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 6.865 * [backup-simplify]: Simplify (exp 0) into 1 6.866 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 6.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 6.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 6.866 * [taylor]: Taking taylor expansion of 1/3 in f 6.866 * [backup-simplify]: Simplify 1/3 into 1/3 6.866 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 6.866 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 6.866 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.866 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.866 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.866 * [taylor]: Taking taylor expansion of f in f 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (/ 1 1) into 1 6.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.866 * [taylor]: Taking taylor expansion of n in f 6.866 * [backup-simplify]: Simplify n into n 6.866 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.866 * [backup-simplify]: Simplify (+ 1 0) into 1 6.866 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 6.866 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.866 * [taylor]: Taking taylor expansion of n in f 6.866 * [backup-simplify]: Simplify n into n 6.866 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.866 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.866 * [taylor]: Taking taylor expansion of f in f 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.867 * [backup-simplify]: Simplify (- 1) into -1 6.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.868 * [backup-simplify]: Simplify (* 1 1) into 1 6.868 * [backup-simplify]: Simplify (* -1 -1) into 1 6.869 * [backup-simplify]: Simplify (/ 1 1) into 1 6.869 * [backup-simplify]: Simplify (log 1) into 0 6.870 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.871 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (- 0) into 0 6.872 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.872 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 6.872 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.874 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.874 * [backup-simplify]: Simplify (exp 0) into 1 6.874 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 6.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 6.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 6.874 * [taylor]: Taking taylor expansion of 1/3 in f 6.874 * [backup-simplify]: Simplify 1/3 into 1/3 6.874 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 6.874 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 6.874 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.874 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.874 * [taylor]: Taking taylor expansion of f in f 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 1 into 1 6.874 * [backup-simplify]: Simplify (/ 1 1) into 1 6.874 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.874 * [taylor]: Taking taylor expansion of n in f 6.874 * [backup-simplify]: Simplify n into n 6.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.875 * [backup-simplify]: Simplify (+ 1 0) into 1 6.875 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 6.875 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.875 * [taylor]: Taking taylor expansion of n in f 6.875 * [backup-simplify]: Simplify n into n 6.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.875 * [taylor]: Taking taylor expansion of f in f 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 1 into 1 6.876 * [backup-simplify]: Simplify (/ 1 1) into 1 6.876 * [backup-simplify]: Simplify (- 1) into -1 6.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.877 * [backup-simplify]: Simplify (* 1 1) into 1 6.877 * [backup-simplify]: Simplify (* -1 -1) into 1 6.878 * [backup-simplify]: Simplify (/ 1 1) into 1 6.878 * [backup-simplify]: Simplify (log 1) into 0 6.879 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.880 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (- 0) into 0 6.881 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.881 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 6.881 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.883 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.883 * [backup-simplify]: Simplify (exp 0) into 1 6.883 * [taylor]: Taking taylor expansion of 1 in n 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 6.883 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 6.883 * [taylor]: Taking taylor expansion of 4/3 in n 6.883 * [backup-simplify]: Simplify 4/3 into 4/3 6.883 * [taylor]: Taking taylor expansion of n in n 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 6.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.885 * [backup-simplify]: Simplify (+ 0 0) into 0 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 6.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (- 0) into 0 6.887 * [backup-simplify]: Simplify (+ 0 0) into 0 6.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 6.888 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 6.889 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 6.890 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 6.890 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 6.890 * [taylor]: Taking taylor expansion of 8/9 in n 6.890 * [backup-simplify]: Simplify 8/9 into 8/9 6.890 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.890 * [taylor]: Taking taylor expansion of n in n 6.890 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify 1 into 1 6.890 * [backup-simplify]: Simplify (* 1 1) into 1 6.890 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 6.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.894 * [backup-simplify]: Simplify (+ 0 0) into 0 6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 6.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.896 * [backup-simplify]: Simplify (- 0) into 0 6.896 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 6.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 6.899 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 6.899 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 6.900 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 6.900 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 6.900 * [taylor]: Taking taylor expansion of 68/81 in n 6.900 * [backup-simplify]: Simplify 68/81 into 68/81 6.900 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.900 * [taylor]: Taking taylor expansion of n in n 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 1 into 1 6.900 * [backup-simplify]: Simplify (* 1 1) into 1 6.901 * [backup-simplify]: Simplify (* 1 1) into 1 6.901 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 6.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.906 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.906 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.906 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.906 * [taylor]: Taking taylor expansion of -1 in n 6.906 * [backup-simplify]: Simplify -1 into -1 6.906 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.906 * [taylor]: Taking taylor expansion of (+ n f) in n 6.906 * [taylor]: Taking taylor expansion of n in n 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [taylor]: Taking taylor expansion of f in n 6.906 * [backup-simplify]: Simplify f into f 6.906 * [taylor]: Taking taylor expansion of (- f n) in n 6.906 * [taylor]: Taking taylor expansion of f in n 6.906 * [backup-simplify]: Simplify f into f 6.906 * [taylor]: Taking taylor expansion of n in n 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (+ 0 f) into f 6.907 * [backup-simplify]: Simplify (- 0) into 0 6.907 * [backup-simplify]: Simplify (+ f 0) into f 6.907 * [backup-simplify]: Simplify (/ f f) into 1 6.907 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.907 * [taylor]: Taking taylor expansion of -1 in f 6.907 * [backup-simplify]: Simplify -1 into -1 6.907 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.907 * [taylor]: Taking taylor expansion of (+ n f) in f 6.907 * [taylor]: Taking taylor expansion of n in f 6.907 * [backup-simplify]: Simplify n into n 6.907 * [taylor]: Taking taylor expansion of f in f 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of (- f n) in f 6.907 * [taylor]: Taking taylor expansion of f in f 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of n in f 6.907 * [backup-simplify]: Simplify n into n 6.907 * [backup-simplify]: Simplify (+ n 0) into n 6.907 * [backup-simplify]: Simplify (- n) into (- n) 6.907 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.907 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.907 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.907 * [taylor]: Taking taylor expansion of -1 in f 6.907 * [backup-simplify]: Simplify -1 into -1 6.907 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.907 * [taylor]: Taking taylor expansion of (+ n f) in f 6.907 * [taylor]: Taking taylor expansion of n in f 6.907 * [backup-simplify]: Simplify n into n 6.907 * [taylor]: Taking taylor expansion of f in f 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of (- f n) in f 6.907 * [taylor]: Taking taylor expansion of f in f 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of n in f 6.907 * [backup-simplify]: Simplify n into n 6.907 * [backup-simplify]: Simplify (+ n 0) into n 6.907 * [backup-simplify]: Simplify (- n) into (- n) 6.907 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.907 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.908 * [backup-simplify]: Simplify (* -1 -1) into 1 6.908 * [taylor]: Taking taylor expansion of 1 in n 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (+ 0 1) into 1 6.908 * [backup-simplify]: Simplify (- 0) into 0 6.908 * [backup-simplify]: Simplify (+ 1 0) into 1 6.909 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.909 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.909 * [taylor]: Taking taylor expansion of 2 in n 6.909 * [backup-simplify]: Simplify 2 into 2 6.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.909 * [taylor]: Taking taylor expansion of n in n 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 1 into 1 6.909 * [backup-simplify]: Simplify (/ 1 1) into 1 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (+ 0 0) into 0 6.911 * [backup-simplify]: Simplify (- 0) into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.911 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.912 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.912 * [taylor]: Taking taylor expansion of 2 in n 6.912 * [backup-simplify]: Simplify 2 into 2 6.912 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.912 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.912 * [taylor]: Taking taylor expansion of n in n 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.913 * [backup-simplify]: Simplify (* 1 1) into 1 6.913 * [backup-simplify]: Simplify (/ 1 1) into 1 6.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.918 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify (+ 0 0) into 0 6.921 * [backup-simplify]: Simplify (- 0) into 0 6.921 * [backup-simplify]: Simplify (+ 0 0) into 0 6.922 * [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)))) 6.923 * [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))) 6.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.923 * [taylor]: Taking taylor expansion of 2 in n 6.923 * [backup-simplify]: Simplify 2 into 2 6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.923 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.923 * [taylor]: Taking taylor expansion of n in n 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (* 1 1) into 1 6.924 * [backup-simplify]: Simplify (* 1 1) into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify 1 into 1 6.934 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.934 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.935 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.935 * [taylor]: Taking taylor expansion of -1 in n 6.935 * [backup-simplify]: Simplify -1 into -1 6.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.935 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.935 * [taylor]: Taking taylor expansion of f in n 6.935 * [backup-simplify]: Simplify f into f 6.935 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.935 * [taylor]: Taking taylor expansion of n in n 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (/ 1 1) into 1 6.935 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.935 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.935 * [taylor]: Taking taylor expansion of f in n 6.936 * [backup-simplify]: Simplify f into f 6.936 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.936 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.936 * [taylor]: Taking taylor expansion of n in n 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (/ 1 1) into 1 6.936 * [backup-simplify]: Simplify (+ 0 1) into 1 6.936 * [backup-simplify]: Simplify (- 1) into -1 6.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.937 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.937 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.937 * [taylor]: Taking taylor expansion of -1 in f 6.937 * [backup-simplify]: Simplify -1 into -1 6.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.937 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.937 * [taylor]: Taking taylor expansion of f in f 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 1 into 1 6.937 * [backup-simplify]: Simplify (/ 1 1) into 1 6.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.937 * [taylor]: Taking taylor expansion of n in f 6.938 * [backup-simplify]: Simplify n into n 6.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.938 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.938 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.938 * [taylor]: Taking taylor expansion of f in f 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify 1 into 1 6.938 * [backup-simplify]: Simplify (/ 1 1) into 1 6.938 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.938 * [taylor]: Taking taylor expansion of n in f 6.938 * [backup-simplify]: Simplify n into n 6.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.939 * [backup-simplify]: Simplify (+ 1 0) into 1 6.939 * [backup-simplify]: Simplify (+ 1 0) into 1 6.940 * [backup-simplify]: Simplify (/ 1 1) into 1 6.940 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.940 * [taylor]: Taking taylor expansion of -1 in f 6.940 * [backup-simplify]: Simplify -1 into -1 6.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.940 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.940 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.940 * [taylor]: Taking taylor expansion of f in f 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify 1 into 1 6.940 * [backup-simplify]: Simplify (/ 1 1) into 1 6.940 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.940 * [taylor]: Taking taylor expansion of n in f 6.940 * [backup-simplify]: Simplify n into n 6.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.941 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.941 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.941 * [taylor]: Taking taylor expansion of f in f 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [backup-simplify]: Simplify (/ 1 1) into 1 6.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.941 * [taylor]: Taking taylor expansion of n in f 6.941 * [backup-simplify]: Simplify n into n 6.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.942 * [backup-simplify]: Simplify (+ 1 0) into 1 6.942 * [backup-simplify]: Simplify (+ 1 0) into 1 6.943 * [backup-simplify]: Simplify (/ 1 1) into 1 6.943 * [backup-simplify]: Simplify (* -1 1) into -1 6.943 * [taylor]: Taking taylor expansion of -1 in n 6.943 * [backup-simplify]: Simplify -1 into -1 6.943 * [backup-simplify]: Simplify -1 into -1 6.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.944 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.945 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.945 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.946 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.946 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.946 * [taylor]: Taking taylor expansion of 2 in n 6.946 * [backup-simplify]: Simplify 2 into 2 6.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.946 * [taylor]: Taking taylor expansion of n in n 6.946 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify 1 into 1 6.946 * [backup-simplify]: Simplify (/ 1 1) into 1 6.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.948 * [backup-simplify]: Simplify (- 0) into 0 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.949 * [backup-simplify]: Simplify (+ 0 0) into 0 6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.950 * [backup-simplify]: Simplify (- 0) into 0 6.950 * [backup-simplify]: Simplify (+ 0 0) into 0 6.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.951 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.951 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.951 * [taylor]: Taking taylor expansion of 2 in n 6.951 * [backup-simplify]: Simplify 2 into 2 6.951 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.951 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.951 * [taylor]: Taking taylor expansion of n in n 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.952 * [backup-simplify]: Simplify (* 1 1) into 1 6.952 * [backup-simplify]: Simplify (/ 1 1) into 1 6.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.956 * [backup-simplify]: Simplify (- 0) into 0 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.958 * [backup-simplify]: Simplify (+ 0 0) into 0 6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.959 * [backup-simplify]: Simplify (- 0) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.962 * [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))) 6.963 * [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)))) 6.963 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.963 * [taylor]: Taking taylor expansion of 2 in n 6.963 * [backup-simplify]: Simplify 2 into 2 6.963 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.963 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.963 * [taylor]: Taking taylor expansion of n in n 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (* 1 1) into 1 6.964 * [backup-simplify]: Simplify (* 1 1) into 1 6.964 * [backup-simplify]: Simplify (/ 1 1) into 1 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.969 * [backup-simplify]: Simplify (- 0) into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify -1 into -1 6.969 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.970 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.970 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.970 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.970 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.970 * [taylor]: Taking taylor expansion of f in n 6.970 * [backup-simplify]: Simplify f into f 6.970 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.970 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.970 * [taylor]: Taking taylor expansion of n in n 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (/ 1 1) into 1 6.970 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.970 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.970 * [taylor]: Taking taylor expansion of n in n 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (/ 1 1) into 1 6.970 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.970 * [taylor]: Taking taylor expansion of f in n 6.970 * [backup-simplify]: Simplify f into f 6.970 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.971 * [backup-simplify]: Simplify (+ 0 1) into 1 6.971 * [backup-simplify]: Simplify (+ 1 0) into 1 6.971 * [backup-simplify]: Simplify (/ 1 1) into 1 6.971 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.971 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.971 * [taylor]: Taking taylor expansion of f in f 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify (/ 1 1) into 1 6.971 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.971 * [taylor]: Taking taylor expansion of n in f 6.971 * [backup-simplify]: Simplify n into n 6.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.972 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.972 * [taylor]: Taking taylor expansion of n in f 6.972 * [backup-simplify]: Simplify n into n 6.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.972 * [taylor]: Taking taylor expansion of f in f 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 1 into 1 6.972 * [backup-simplify]: Simplify (/ 1 1) into 1 6.972 * [backup-simplify]: Simplify (+ 1 0) into 1 6.972 * [backup-simplify]: Simplify (- 1) into -1 6.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.973 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.973 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.973 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.973 * [taylor]: Taking taylor expansion of f in f 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 1 into 1 6.973 * [backup-simplify]: Simplify (/ 1 1) into 1 6.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.973 * [taylor]: Taking taylor expansion of n in f 6.973 * [backup-simplify]: Simplify n into n 6.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.973 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.973 * [taylor]: Taking taylor expansion of n in f 6.973 * [backup-simplify]: Simplify n into n 6.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.973 * [taylor]: Taking taylor expansion of f in f 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [backup-simplify]: Simplify (/ 1 1) into 1 6.974 * [backup-simplify]: Simplify (+ 1 0) into 1 6.974 * [backup-simplify]: Simplify (- 1) into -1 6.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.975 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.975 * [taylor]: Taking taylor expansion of -1 in n 6.975 * [backup-simplify]: Simplify -1 into -1 6.975 * [backup-simplify]: Simplify -1 into -1 6.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.976 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.977 * [backup-simplify]: Simplify (- 0) into 0 6.977 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.977 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.977 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.977 * [taylor]: Taking taylor expansion of 2 in n 6.977 * [backup-simplify]: Simplify 2 into 2 6.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.977 * [taylor]: Taking taylor expansion of n in n 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (/ 1 1) into 1 6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.979 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.980 * [backup-simplify]: Simplify (- 0) into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.981 * [backup-simplify]: Simplify (+ 0 0) into 0 6.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.982 * [backup-simplify]: Simplify (- 0) into 0 6.983 * [backup-simplify]: Simplify (+ 0 0) into 0 6.984 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.984 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.984 * [taylor]: Taking taylor expansion of 2 in n 6.984 * [backup-simplify]: Simplify 2 into 2 6.984 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.984 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.984 * [taylor]: Taking taylor expansion of n in n 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (* 1 1) into 1 6.985 * [backup-simplify]: Simplify (/ 1 1) into 1 6.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.990 * [backup-simplify]: Simplify (- 0) into 0 6.990 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.992 * [backup-simplify]: Simplify (- 0) into 0 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.994 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.995 * [backup-simplify]: Simplify (- 0) into 0 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.997 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.997 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.997 * [taylor]: Taking taylor expansion of 2 in n 6.997 * [backup-simplify]: Simplify 2 into 2 6.997 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.997 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.997 * [taylor]: Taking taylor expansion of n in n 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 1 into 1 6.998 * [backup-simplify]: Simplify (* 1 1) into 1 6.998 * [backup-simplify]: Simplify (* 1 1) into 1 6.998 * [backup-simplify]: Simplify (/ 1 1) into 1 6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (- 0) into 0 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify -1 into -1 7.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 7.008 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.008 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.008 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.008 * [taylor]: Taking taylor expansion of -1 in n 7.008 * [backup-simplify]: Simplify -1 into -1 7.008 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.008 * [taylor]: Taking taylor expansion of (+ n f) in n 7.008 * [taylor]: Taking taylor expansion of n in n 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.008 * [taylor]: Taking taylor expansion of f in n 7.008 * [backup-simplify]: Simplify f into f 7.008 * [taylor]: Taking taylor expansion of (- f n) in n 7.008 * [taylor]: Taking taylor expansion of f in n 7.008 * [backup-simplify]: Simplify f into f 7.008 * [taylor]: Taking taylor expansion of n in n 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.008 * [backup-simplify]: Simplify (+ 0 f) into f 7.008 * [backup-simplify]: Simplify (- 0) into 0 7.009 * [backup-simplify]: Simplify (+ f 0) into f 7.009 * [backup-simplify]: Simplify (/ f f) into 1 7.009 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.009 * [taylor]: Taking taylor expansion of -1 in f 7.009 * [backup-simplify]: Simplify -1 into -1 7.009 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.009 * [taylor]: Taking taylor expansion of (+ n f) in f 7.009 * [taylor]: Taking taylor expansion of n in f 7.009 * [backup-simplify]: Simplify n into n 7.009 * [taylor]: Taking taylor expansion of f in f 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [taylor]: Taking taylor expansion of (- f n) in f 7.009 * [taylor]: Taking taylor expansion of f in f 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [taylor]: Taking taylor expansion of n in f 7.009 * [backup-simplify]: Simplify n into n 7.009 * [backup-simplify]: Simplify (+ n 0) into n 7.009 * [backup-simplify]: Simplify (- n) into (- n) 7.009 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.009 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.009 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.009 * [taylor]: Taking taylor expansion of -1 in f 7.009 * [backup-simplify]: Simplify -1 into -1 7.009 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.009 * [taylor]: Taking taylor expansion of (+ n f) in f 7.009 * [taylor]: Taking taylor expansion of n in f 7.009 * [backup-simplify]: Simplify n into n 7.009 * [taylor]: Taking taylor expansion of f in f 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.010 * [taylor]: Taking taylor expansion of (- f n) in f 7.010 * [taylor]: Taking taylor expansion of f in f 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 1 into 1 7.010 * [taylor]: Taking taylor expansion of n in f 7.010 * [backup-simplify]: Simplify n into n 7.010 * [backup-simplify]: Simplify (+ n 0) into n 7.010 * [backup-simplify]: Simplify (- n) into (- n) 7.010 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.010 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.010 * [backup-simplify]: Simplify (* -1 -1) into 1 7.010 * [taylor]: Taking taylor expansion of 1 in n 7.010 * [backup-simplify]: Simplify 1 into 1 7.010 * [backup-simplify]: Simplify 1 into 1 7.011 * [backup-simplify]: Simplify (+ 0 1) into 1 7.011 * [backup-simplify]: Simplify (- 0) into 0 7.012 * [backup-simplify]: Simplify (+ 1 0) into 1 7.012 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.012 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.013 * [taylor]: Taking taylor expansion of 2 in n 7.013 * [backup-simplify]: Simplify 2 into 2 7.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.013 * [taylor]: Taking taylor expansion of n in n 7.013 * [backup-simplify]: Simplify 0 into 0 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [backup-simplify]: Simplify (/ 1 1) into 1 7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify (+ 0 0) into 0 7.016 * [backup-simplify]: Simplify (- 0) into 0 7.016 * [backup-simplify]: Simplify (+ 0 0) into 0 7.016 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.017 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.017 * [taylor]: Taking taylor expansion of 2 in n 7.017 * [backup-simplify]: Simplify 2 into 2 7.017 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.017 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.017 * [taylor]: Taking taylor expansion of n in n 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (* 1 1) into 1 7.018 * [backup-simplify]: Simplify (/ 1 1) into 1 7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.022 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify (+ 0 0) into 0 7.025 * [backup-simplify]: Simplify (- 0) into 0 7.025 * [backup-simplify]: Simplify (+ 0 0) into 0 7.026 * [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)))) 7.027 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.027 * [taylor]: Taking taylor expansion of 2 in n 7.027 * [backup-simplify]: Simplify 2 into 2 7.027 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.027 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.027 * [taylor]: Taking taylor expansion of n in n 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (* 1 1) into 1 7.028 * [backup-simplify]: Simplify (* 1 1) into 1 7.028 * [backup-simplify]: Simplify (/ 1 1) into 1 7.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.037 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.037 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.037 * [taylor]: Taking taylor expansion of -1 in n 7.037 * [backup-simplify]: Simplify -1 into -1 7.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.037 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.038 * [taylor]: Taking taylor expansion of f in n 7.038 * [backup-simplify]: Simplify f into f 7.038 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.038 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.038 * [taylor]: Taking taylor expansion of n in n 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [backup-simplify]: Simplify (/ 1 1) into 1 7.038 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.038 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.038 * [taylor]: Taking taylor expansion of f in n 7.038 * [backup-simplify]: Simplify f into f 7.038 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.038 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.038 * [taylor]: Taking taylor expansion of n in n 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (/ 1 1) into 1 7.039 * [backup-simplify]: Simplify (+ 0 1) into 1 7.039 * [backup-simplify]: Simplify (- 1) into -1 7.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.040 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.040 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.040 * [taylor]: Taking taylor expansion of -1 in f 7.040 * [backup-simplify]: Simplify -1 into -1 7.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.040 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.041 * [taylor]: Taking taylor expansion of f in f 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (/ 1 1) into 1 7.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.041 * [taylor]: Taking taylor expansion of n in f 7.041 * [backup-simplify]: Simplify n into n 7.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.041 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.041 * [taylor]: Taking taylor expansion of f in f 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (/ 1 1) into 1 7.042 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.042 * [taylor]: Taking taylor expansion of n in f 7.042 * [backup-simplify]: Simplify n into n 7.042 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.042 * [backup-simplify]: Simplify (+ 1 0) into 1 7.043 * [backup-simplify]: Simplify (+ 1 0) into 1 7.043 * [backup-simplify]: Simplify (/ 1 1) into 1 7.043 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.043 * [taylor]: Taking taylor expansion of -1 in f 7.043 * [backup-simplify]: Simplify -1 into -1 7.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.043 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.043 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.043 * [taylor]: Taking taylor expansion of f in f 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (/ 1 1) into 1 7.044 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.044 * [taylor]: Taking taylor expansion of n in f 7.044 * [backup-simplify]: Simplify n into n 7.044 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.044 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.044 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.044 * [taylor]: Taking taylor expansion of f in f 7.044 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (/ 1 1) into 1 7.044 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.044 * [taylor]: Taking taylor expansion of n in f 7.044 * [backup-simplify]: Simplify n into n 7.044 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.045 * [backup-simplify]: Simplify (+ 1 0) into 1 7.045 * [backup-simplify]: Simplify (+ 1 0) into 1 7.046 * [backup-simplify]: Simplify (/ 1 1) into 1 7.046 * [backup-simplify]: Simplify (* -1 1) into -1 7.046 * [taylor]: Taking taylor expansion of -1 in n 7.046 * [backup-simplify]: Simplify -1 into -1 7.046 * [backup-simplify]: Simplify -1 into -1 7.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.047 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.048 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.048 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.048 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.049 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.049 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.049 * [taylor]: Taking taylor expansion of 2 in n 7.049 * [backup-simplify]: Simplify 2 into 2 7.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.049 * [taylor]: Taking taylor expansion of n in n 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (/ 1 1) into 1 7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.051 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.053 * [backup-simplify]: Simplify (+ 0 0) into 0 7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.054 * [backup-simplify]: Simplify (- 0) into 0 7.054 * [backup-simplify]: Simplify (+ 0 0) into 0 7.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.056 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.056 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.056 * [taylor]: Taking taylor expansion of 2 in n 7.056 * [backup-simplify]: Simplify 2 into 2 7.057 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.057 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.057 * [taylor]: Taking taylor expansion of n in n 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [backup-simplify]: Simplify (* 1 1) into 1 7.057 * [backup-simplify]: Simplify (/ 1 1) into 1 7.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.062 * [backup-simplify]: Simplify (- 0) into 0 7.062 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.064 * [backup-simplify]: Simplify (- 0) into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.065 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.067 * [backup-simplify]: Simplify (- 0) into 0 7.067 * [backup-simplify]: Simplify (+ 0 0) into 0 7.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.070 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.070 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.070 * [taylor]: Taking taylor expansion of 2 in n 7.070 * [backup-simplify]: Simplify 2 into 2 7.070 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.070 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.070 * [taylor]: Taking taylor expansion of n in n 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (* 1 1) into 1 7.071 * [backup-simplify]: Simplify (* 1 1) into 1 7.071 * [backup-simplify]: Simplify (/ 1 1) into 1 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (- 0) into 0 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify -1 into -1 7.081 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.081 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.081 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.081 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.081 * [taylor]: Taking taylor expansion of f in n 7.081 * [backup-simplify]: Simplify f into f 7.081 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.081 * [taylor]: Taking taylor expansion of n in n 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 1 into 1 7.081 * [backup-simplify]: Simplify (/ 1 1) into 1 7.081 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.081 * [taylor]: Taking taylor expansion of n in n 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 1 into 1 7.082 * [backup-simplify]: Simplify (/ 1 1) into 1 7.082 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.082 * [taylor]: Taking taylor expansion of f in n 7.082 * [backup-simplify]: Simplify f into f 7.082 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.082 * [backup-simplify]: Simplify (+ 0 1) into 1 7.083 * [backup-simplify]: Simplify (+ 1 0) into 1 7.083 * [backup-simplify]: Simplify (/ 1 1) into 1 7.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.083 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.083 * [taylor]: Taking taylor expansion of f in f 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 1 into 1 7.084 * [backup-simplify]: Simplify (/ 1 1) into 1 7.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.084 * [taylor]: Taking taylor expansion of n in f 7.084 * [backup-simplify]: Simplify n into n 7.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.084 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.084 * [taylor]: Taking taylor expansion of n in f 7.084 * [backup-simplify]: Simplify n into n 7.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.084 * [taylor]: Taking taylor expansion of f in f 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 1 into 1 7.084 * [backup-simplify]: Simplify (/ 1 1) into 1 7.085 * [backup-simplify]: Simplify (+ 1 0) into 1 7.085 * [backup-simplify]: Simplify (- 1) into -1 7.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.086 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.086 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.086 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.086 * [taylor]: Taking taylor expansion of f in f 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify 1 into 1 7.087 * [backup-simplify]: Simplify (/ 1 1) into 1 7.087 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.087 * [taylor]: Taking taylor expansion of n in f 7.087 * [backup-simplify]: Simplify n into n 7.087 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.087 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.087 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.087 * [taylor]: Taking taylor expansion of n in f 7.087 * [backup-simplify]: Simplify n into n 7.087 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.087 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.087 * [taylor]: Taking taylor expansion of f in f 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify 1 into 1 7.087 * [backup-simplify]: Simplify (/ 1 1) into 1 7.088 * [backup-simplify]: Simplify (+ 1 0) into 1 7.088 * [backup-simplify]: Simplify (- 1) into -1 7.089 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.089 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.089 * [taylor]: Taking taylor expansion of -1 in n 7.089 * [backup-simplify]: Simplify -1 into -1 7.089 * [backup-simplify]: Simplify -1 into -1 7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.091 * [backup-simplify]: Simplify (- 0) into 0 7.091 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.091 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.091 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.092 * [taylor]: Taking taylor expansion of 2 in n 7.092 * [backup-simplify]: Simplify 2 into 2 7.092 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.092 * [taylor]: Taking taylor expansion of n in n 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 1 into 1 7.092 * [backup-simplify]: Simplify (/ 1 1) into 1 7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.094 * [backup-simplify]: Simplify (- 0) into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.097 * [backup-simplify]: Simplify (+ 0 0) into 0 7.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.098 * [backup-simplify]: Simplify (- 0) into 0 7.098 * [backup-simplify]: Simplify (+ 0 0) into 0 7.099 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.099 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.099 * [taylor]: Taking taylor expansion of 2 in n 7.099 * [backup-simplify]: Simplify 2 into 2 7.099 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.099 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.099 * [taylor]: Taking taylor expansion of n in n 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify (* 1 1) into 1 7.099 * [backup-simplify]: Simplify (/ 1 1) into 1 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.102 * [backup-simplify]: Simplify (- 0) into 0 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.103 * [backup-simplify]: Simplify (- 0) into 0 7.103 * [backup-simplify]: Simplify 0 into 0 7.103 * [backup-simplify]: Simplify 0 into 0 7.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.104 * [backup-simplify]: Simplify (+ 0 0) into 0 7.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.105 * [backup-simplify]: Simplify (- 0) into 0 7.105 * [backup-simplify]: Simplify (+ 0 0) into 0 7.106 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.106 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.106 * [taylor]: Taking taylor expansion of 2 in n 7.106 * [backup-simplify]: Simplify 2 into 2 7.106 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.106 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.106 * [taylor]: Taking taylor expansion of n in n 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify 1 into 1 7.107 * [backup-simplify]: Simplify (* 1 1) into 1 7.107 * [backup-simplify]: Simplify (* 1 1) into 1 7.107 * [backup-simplify]: Simplify (/ 1 1) into 1 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (- 0) into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 7.113 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.113 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.113 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.113 * [taylor]: Taking taylor expansion of -1 in n 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.113 * [taylor]: Taking taylor expansion of (+ n f) in n 7.113 * [taylor]: Taking taylor expansion of n in n 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [taylor]: Taking taylor expansion of f in n 7.113 * [backup-simplify]: Simplify f into f 7.113 * [taylor]: Taking taylor expansion of (- f n) in n 7.113 * [taylor]: Taking taylor expansion of f in n 7.113 * [backup-simplify]: Simplify f into f 7.113 * [taylor]: Taking taylor expansion of n in n 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [backup-simplify]: Simplify (+ 0 f) into f 7.114 * [backup-simplify]: Simplify (- 0) into 0 7.114 * [backup-simplify]: Simplify (+ f 0) into f 7.114 * [backup-simplify]: Simplify (/ f f) into 1 7.114 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.114 * [taylor]: Taking taylor expansion of -1 in f 7.114 * [backup-simplify]: Simplify -1 into -1 7.114 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.114 * [taylor]: Taking taylor expansion of (+ n f) in f 7.114 * [taylor]: Taking taylor expansion of n in f 7.114 * [backup-simplify]: Simplify n into n 7.114 * [taylor]: Taking taylor expansion of f in f 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [taylor]: Taking taylor expansion of (- f n) in f 7.114 * [taylor]: Taking taylor expansion of f in f 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [taylor]: Taking taylor expansion of n in f 7.114 * [backup-simplify]: Simplify n into n 7.114 * [backup-simplify]: Simplify (+ n 0) into n 7.114 * [backup-simplify]: Simplify (- n) into (- n) 7.114 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.114 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.114 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.114 * [taylor]: Taking taylor expansion of -1 in f 7.114 * [backup-simplify]: Simplify -1 into -1 7.114 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.114 * [taylor]: Taking taylor expansion of (+ n f) in f 7.114 * [taylor]: Taking taylor expansion of n in f 7.114 * [backup-simplify]: Simplify n into n 7.114 * [taylor]: Taking taylor expansion of f in f 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [taylor]: Taking taylor expansion of (- f n) in f 7.114 * [taylor]: Taking taylor expansion of f in f 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [taylor]: Taking taylor expansion of n in f 7.114 * [backup-simplify]: Simplify n into n 7.114 * [backup-simplify]: Simplify (+ n 0) into n 7.114 * [backup-simplify]: Simplify (- n) into (- n) 7.115 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.115 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.115 * [backup-simplify]: Simplify (* -1 -1) into 1 7.115 * [taylor]: Taking taylor expansion of 1 in n 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [backup-simplify]: Simplify (+ 0 1) into 1 7.115 * [backup-simplify]: Simplify (- 0) into 0 7.116 * [backup-simplify]: Simplify (+ 1 0) into 1 7.116 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.116 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.116 * [taylor]: Taking taylor expansion of 2 in n 7.116 * [backup-simplify]: Simplify 2 into 2 7.116 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.116 * [taylor]: Taking taylor expansion of n in n 7.116 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify 1 into 1 7.117 * [backup-simplify]: Simplify (/ 1 1) into 1 7.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (+ 0 0) into 0 7.118 * [backup-simplify]: Simplify (- 0) into 0 7.118 * [backup-simplify]: Simplify (+ 0 0) into 0 7.118 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.119 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.119 * [taylor]: Taking taylor expansion of 2 in n 7.119 * [backup-simplify]: Simplify 2 into 2 7.119 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.119 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.119 * [taylor]: Taking taylor expansion of n in n 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (* 1 1) into 1 7.120 * [backup-simplify]: Simplify (/ 1 1) into 1 7.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.122 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.124 * [backup-simplify]: Simplify (- 0) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.125 * [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)))) 7.125 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.125 * [taylor]: Taking taylor expansion of 2 in n 7.125 * [backup-simplify]: Simplify 2 into 2 7.125 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.125 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.125 * [taylor]: Taking taylor expansion of n in n 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (* 1 1) into 1 7.126 * [backup-simplify]: Simplify (* 1 1) into 1 7.126 * [backup-simplify]: Simplify (/ 1 1) into 1 7.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.136 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.136 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.136 * [taylor]: Taking taylor expansion of -1 in n 7.136 * [backup-simplify]: Simplify -1 into -1 7.137 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.137 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.137 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.137 * [taylor]: Taking taylor expansion of f in n 7.137 * [backup-simplify]: Simplify f into f 7.137 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.137 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.137 * [taylor]: Taking taylor expansion of n in n 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [backup-simplify]: Simplify (/ 1 1) into 1 7.137 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.137 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.137 * [taylor]: Taking taylor expansion of f in n 7.137 * [backup-simplify]: Simplify f into f 7.138 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.138 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.138 * [taylor]: Taking taylor expansion of n in n 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify (/ 1 1) into 1 7.138 * [backup-simplify]: Simplify (+ 0 1) into 1 7.139 * [backup-simplify]: Simplify (- 1) into -1 7.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.140 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.140 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.140 * [taylor]: Taking taylor expansion of -1 in f 7.140 * [backup-simplify]: Simplify -1 into -1 7.140 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.140 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.140 * [taylor]: Taking taylor expansion of f in f 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify (/ 1 1) into 1 7.140 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.140 * [taylor]: Taking taylor expansion of n in f 7.140 * [backup-simplify]: Simplify n into n 7.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.140 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.140 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.140 * [taylor]: Taking taylor expansion of f in f 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.141 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.141 * [taylor]: Taking taylor expansion of n in f 7.141 * [backup-simplify]: Simplify n into n 7.141 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.141 * [backup-simplify]: Simplify (+ 1 0) into 1 7.142 * [backup-simplify]: Simplify (+ 1 0) into 1 7.142 * [backup-simplify]: Simplify (/ 1 1) into 1 7.142 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.142 * [taylor]: Taking taylor expansion of -1 in f 7.142 * [backup-simplify]: Simplify -1 into -1 7.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.142 * [taylor]: Taking taylor expansion of f in f 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (/ 1 1) into 1 7.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.143 * [taylor]: Taking taylor expansion of n in f 7.143 * [backup-simplify]: Simplify n into n 7.143 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.143 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.143 * [taylor]: Taking taylor expansion of f in f 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (/ 1 1) into 1 7.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.144 * [taylor]: Taking taylor expansion of n in f 7.144 * [backup-simplify]: Simplify n into n 7.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.144 * [backup-simplify]: Simplify (+ 1 0) into 1 7.144 * [backup-simplify]: Simplify (+ 1 0) into 1 7.145 * [backup-simplify]: Simplify (/ 1 1) into 1 7.145 * [backup-simplify]: Simplify (* -1 1) into -1 7.145 * [taylor]: Taking taylor expansion of -1 in n 7.145 * [backup-simplify]: Simplify -1 into -1 7.145 * [backup-simplify]: Simplify -1 into -1 7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.148 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.148 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.148 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.148 * [taylor]: Taking taylor expansion of 2 in n 7.148 * [backup-simplify]: Simplify 2 into 2 7.148 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.148 * [taylor]: Taking taylor expansion of n in n 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify 1 into 1 7.149 * [backup-simplify]: Simplify (/ 1 1) into 1 7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.151 * [backup-simplify]: Simplify (- 0) into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.152 * [backup-simplify]: Simplify (+ 0 0) into 0 7.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.154 * [backup-simplify]: Simplify (- 0) into 0 7.154 * [backup-simplify]: Simplify (+ 0 0) into 0 7.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.156 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.156 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.156 * [taylor]: Taking taylor expansion of 2 in n 7.156 * [backup-simplify]: Simplify 2 into 2 7.156 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.156 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.156 * [taylor]: Taking taylor expansion of n in n 7.156 * [backup-simplify]: Simplify 0 into 0 7.156 * [backup-simplify]: Simplify 1 into 1 7.156 * [backup-simplify]: Simplify (* 1 1) into 1 7.157 * [backup-simplify]: Simplify (/ 1 1) into 1 7.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.161 * [backup-simplify]: Simplify (- 0) into 0 7.161 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.163 * [backup-simplify]: Simplify (- 0) into 0 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.164 * [backup-simplify]: Simplify (+ 0 0) into 0 7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.165 * [backup-simplify]: Simplify (- 0) into 0 7.165 * [backup-simplify]: Simplify (+ 0 0) into 0 7.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.167 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.167 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.167 * [taylor]: Taking taylor expansion of 2 in n 7.167 * [backup-simplify]: Simplify 2 into 2 7.167 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.167 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.167 * [taylor]: Taking taylor expansion of n in n 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (* 1 1) into 1 7.168 * [backup-simplify]: Simplify (* 1 1) into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.173 * [backup-simplify]: Simplify (- 0) into 0 7.173 * [backup-simplify]: Simplify 0 into 0 7.173 * [backup-simplify]: Simplify -1 into -1 7.173 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.173 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.173 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.173 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.173 * [taylor]: Taking taylor expansion of f in n 7.173 * [backup-simplify]: Simplify f into f 7.173 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.173 * [taylor]: Taking taylor expansion of n in n 7.173 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.174 * [backup-simplify]: Simplify (/ 1 1) into 1 7.174 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.174 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.174 * [taylor]: Taking taylor expansion of n in n 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.174 * [backup-simplify]: Simplify (/ 1 1) into 1 7.174 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.174 * [taylor]: Taking taylor expansion of f in n 7.174 * [backup-simplify]: Simplify f into f 7.174 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.174 * [backup-simplify]: Simplify (+ 0 1) into 1 7.175 * [backup-simplify]: Simplify (+ 1 0) into 1 7.175 * [backup-simplify]: Simplify (/ 1 1) into 1 7.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.175 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.175 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.175 * [taylor]: Taking taylor expansion of f in f 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (/ 1 1) into 1 7.175 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.175 * [taylor]: Taking taylor expansion of n in f 7.175 * [backup-simplify]: Simplify n into n 7.175 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.175 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.175 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.175 * [taylor]: Taking taylor expansion of n in f 7.175 * [backup-simplify]: Simplify n into n 7.175 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.175 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.175 * [taylor]: Taking taylor expansion of f in f 7.175 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [backup-simplify]: Simplify (/ 1 1) into 1 7.176 * [backup-simplify]: Simplify (+ 1 0) into 1 7.176 * [backup-simplify]: Simplify (- 1) into -1 7.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.177 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.177 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.177 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.177 * [taylor]: Taking taylor expansion of f in f 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (/ 1 1) into 1 7.177 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.177 * [taylor]: Taking taylor expansion of n in f 7.177 * [backup-simplify]: Simplify n into n 7.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.177 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.177 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.177 * [taylor]: Taking taylor expansion of n in f 7.177 * [backup-simplify]: Simplify n into n 7.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.177 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.177 * [taylor]: Taking taylor expansion of f in f 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify (/ 1 1) into 1 7.178 * [backup-simplify]: Simplify (+ 1 0) into 1 7.178 * [backup-simplify]: Simplify (- 1) into -1 7.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.179 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.179 * [taylor]: Taking taylor expansion of -1 in n 7.179 * [backup-simplify]: Simplify -1 into -1 7.179 * [backup-simplify]: Simplify -1 into -1 7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (- 0) into 0 7.180 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.180 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.180 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.180 * [taylor]: Taking taylor expansion of 2 in n 7.180 * [backup-simplify]: Simplify 2 into 2 7.180 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.180 * [taylor]: Taking taylor expansion of n in n 7.180 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (/ 1 1) into 1 7.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.181 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.182 * [backup-simplify]: Simplify (- 0) into 0 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.182 * [backup-simplify]: Simplify (+ 0 0) into 0 7.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.183 * [backup-simplify]: Simplify (- 0) into 0 7.184 * [backup-simplify]: Simplify (+ 0 0) into 0 7.184 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.184 * [taylor]: Taking taylor expansion of 2 in n 7.184 * [backup-simplify]: Simplify 2 into 2 7.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.184 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.184 * [taylor]: Taking taylor expansion of n in n 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.185 * [backup-simplify]: Simplify (* 1 1) into 1 7.185 * [backup-simplify]: Simplify (/ 1 1) into 1 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.188 * [backup-simplify]: Simplify (- 0) into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.189 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.189 * [backup-simplify]: Simplify (- 0) into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.190 * [backup-simplify]: Simplify (+ 0 0) into 0 7.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (- 0) into 0 7.191 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.192 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.192 * [taylor]: Taking taylor expansion of 2 in n 7.192 * [backup-simplify]: Simplify 2 into 2 7.192 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.192 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.192 * [taylor]: Taking taylor expansion of n in n 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.192 * [backup-simplify]: Simplify (* 1 1) into 1 7.193 * [backup-simplify]: Simplify (* 1 1) into 1 7.193 * [backup-simplify]: Simplify (/ 1 1) into 1 7.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.203 * [backup-simplify]: Simplify (- 0) into 0 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify -1 into -1 7.203 * * * [progress]: simplifying candidates 7.222 * [simplify]: Simplifying: (+ 1/3 1/3) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (+ 1 1) (+ (log (cbrt (/ (- (+ f n)) (- f n)))) (log (cbrt (/ (- (+ f n)) (- f n))))) (log (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (sqrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (sqrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (* (cbrt (cbrt (/ 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(- 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)) (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 1 -1 -1 1 -1 -1 1 -1 -1 7.233 * * [simplify]: iteration 0: 387 enodes 7.396 * * [simplify]: iteration 1: 684 enodes 7.640 * * [simplify]: iteration 2: 1444 enodes 8.287 * * [simplify]: iteration 3: 3644 enodes 9.110 * * [simplify]: iteration complete: 5001 enodes 9.111 * * [simplify]: Extracting #0: cost 233 inf + 0 9.115 * * [simplify]: Extracting #1: cost 1092 inf + 5 9.126 * * [simplify]: Extracting #2: cost 1562 inf + 3732 9.158 * * [simplify]: Extracting #3: cost 1433 inf + 59072 9.215 * * [simplify]: Extracting #4: cost 570 inf + 285336 9.761 * * [simplify]: Extracting #5: cost 79 inf + 447858 9.890 * * [simplify]: Extracting #6: cost 8 inf + 478436 9.977 * * [simplify]: Extracting #7: cost 0 inf + 480733 10.091 * [simplify]: Simplified to: 2/3 2 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) 2 (+ (log (cbrt (/ (- (+ n f)) (- f n)))) (log (cbrt (/ (- (+ n f)) (- f n))))) (+ (log (cbrt (/ (- (+ n f)) (- f n)))) (log (cbrt (/ (- (+ n f)) (- f n))))) (exp (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (* (cbrt (/ (- (+ n f)) (- f 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(- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (/ (- (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt f) (sqrt n))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (- (/ 1 (- f n))) (* (- f n) (+ (* (- n f) n) (* f f))) (* (- f n) (- f n)) (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1)) 1 1 -1 -1 1 -1 -1 1 -1 -1 10.200 * * * [progress]: adding candidates to table 12.877 * * [progress]: iteration 4 / 4 12.877 * * * [progress]: picking best candidate 12.885 * * * * [pick]: Picked # 12.885 * * * [progress]: localizing error 12.922 * * * [progress]: generating rewritten candidates 12.923 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 13.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 13.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 13.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 13.342 * * * [progress]: generating series expansions 13.342 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 13.343 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 13.343 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 13.343 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 13.343 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 13.343 * [taylor]: Taking taylor expansion of (+ n f) in n 13.343 * [taylor]: Taking taylor expansion of n in n 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 1 into 1 13.343 * [taylor]: Taking taylor expansion of f in n 13.343 * [backup-simplify]: Simplify f into f 13.343 * [backup-simplify]: Simplify (+ 0 f) into f 13.343 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 13.343 * [taylor]: Taking taylor expansion of (- f n) in n 13.343 * [taylor]: Taking taylor expansion of f in n 13.343 * [backup-simplify]: Simplify f into f 13.343 * [taylor]: Taking taylor expansion of n in n 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 1 into 1 13.344 * [backup-simplify]: Simplify (- 0) into 0 13.344 * [backup-simplify]: Simplify (+ f 0) into f 13.344 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.344 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.345 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 13.345 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 13.345 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 13.345 * [taylor]: Taking taylor expansion of (+ n f) in f 13.345 * [taylor]: Taking taylor expansion of n in f 13.345 * [backup-simplify]: Simplify n into n 13.345 * [taylor]: Taking taylor expansion of f in f 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify 1 into 1 13.345 * [backup-simplify]: Simplify (+ n 0) into n 13.345 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 13.345 * [taylor]: Taking taylor expansion of (- f n) in f 13.345 * [taylor]: Taking taylor expansion of f in f 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify 1 into 1 13.345 * [taylor]: Taking taylor expansion of n in f 13.345 * [backup-simplify]: Simplify n into n 13.345 * [backup-simplify]: Simplify (- n) into (- n) 13.345 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.345 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.345 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 13.346 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 13.346 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 13.346 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 13.346 * [taylor]: Taking taylor expansion of (+ n f) in f 13.346 * [taylor]: Taking taylor expansion of n in f 13.346 * [backup-simplify]: Simplify n into n 13.346 * [taylor]: Taking taylor expansion of f in f 13.346 * [backup-simplify]: Simplify 0 into 0 13.346 * [backup-simplify]: Simplify 1 into 1 13.346 * [backup-simplify]: Simplify (+ n 0) into n 13.346 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 13.346 * [taylor]: Taking taylor expansion of (- f n) in f 13.346 * [taylor]: Taking taylor expansion of f in f 13.346 * [backup-simplify]: Simplify 0 into 0 13.346 * [backup-simplify]: Simplify 1 into 1 13.346 * [taylor]: Taking taylor expansion of n in f 13.346 * [backup-simplify]: Simplify n into n 13.346 * [backup-simplify]: Simplify (- n) into (- n) 13.346 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.346 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.346 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 13.347 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 13.347 * [taylor]: Taking taylor expansion of 1 in n 13.347 * [backup-simplify]: Simplify 1 into 1 13.347 * [backup-simplify]: Simplify 1 into 1 13.347 * [backup-simplify]: Simplify (+ 0 1) into 1 13.347 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 13.348 * [backup-simplify]: Simplify (- 0) into 0 13.348 * [backup-simplify]: Simplify (+ 1 0) into 1 13.348 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 13.349 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 13.349 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 13.349 * [taylor]: Taking taylor expansion of 4 in n 13.349 * [backup-simplify]: Simplify 4 into 4 13.349 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.349 * [taylor]: Taking taylor expansion of n in n 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify 1 into 1 13.349 * [backup-simplify]: Simplify (/ 1 1) into 1 13.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.351 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify (+ 0 0) into 0 13.352 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 13.352 * [backup-simplify]: Simplify (- 0) into 0 13.353 * [backup-simplify]: Simplify (+ 0 0) into 0 13.353 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 13.354 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 13.354 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 13.354 * [taylor]: Taking taylor expansion of 8 in n 13.354 * [backup-simplify]: Simplify 8 into 8 13.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.354 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.354 * [taylor]: Taking taylor expansion of n in n 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.355 * [backup-simplify]: Simplify (* 1 1) into 1 13.355 * [backup-simplify]: Simplify (/ 1 1) into 1 13.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.359 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 13.359 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.360 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify (+ 0 0) into 0 13.361 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 13.361 * [backup-simplify]: Simplify (- 0) into 0 13.362 * [backup-simplify]: Simplify (+ 0 0) into 0 13.362 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 13.363 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 13.363 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 13.363 * [taylor]: Taking taylor expansion of 12 in n 13.363 * [backup-simplify]: Simplify 12 into 12 13.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.363 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.363 * [taylor]: Taking taylor expansion of n in n 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 1 into 1 13.363 * [backup-simplify]: Simplify (* 1 1) into 1 13.363 * [backup-simplify]: Simplify (* 1 1) into 1 13.364 * [backup-simplify]: Simplify (/ 1 1) into 1 13.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.369 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 1 into 1 13.369 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 13.369 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 13.369 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 13.369 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 13.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.369 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.369 * [taylor]: Taking taylor expansion of f in n 13.369 * [backup-simplify]: Simplify f into f 13.369 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.370 * [taylor]: Taking taylor expansion of n in n 13.370 * [backup-simplify]: Simplify 0 into 0 13.370 * [backup-simplify]: Simplify 1 into 1 13.370 * [backup-simplify]: Simplify (/ 1 1) into 1 13.370 * [backup-simplify]: Simplify (+ 0 1) into 1 13.370 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 13.370 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 13.370 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.370 * [taylor]: Taking taylor expansion of f in n 13.370 * [backup-simplify]: Simplify f into f 13.370 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.370 * [taylor]: Taking taylor expansion of n in n 13.370 * [backup-simplify]: Simplify 0 into 0 13.370 * [backup-simplify]: Simplify 1 into 1 13.371 * [backup-simplify]: Simplify (/ 1 1) into 1 13.371 * [backup-simplify]: Simplify (- 1) into -1 13.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.371 * [backup-simplify]: Simplify (* 1 1) into 1 13.372 * [backup-simplify]: Simplify (* -1 -1) into 1 13.372 * [backup-simplify]: Simplify (/ 1 1) into 1 13.372 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 13.372 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.372 * [taylor]: Taking taylor expansion of f in f 13.372 * [backup-simplify]: Simplify 0 into 0 13.372 * [backup-simplify]: Simplify 1 into 1 13.372 * [backup-simplify]: Simplify (/ 1 1) into 1 13.372 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.372 * [taylor]: Taking taylor expansion of n in f 13.372 * [backup-simplify]: Simplify n into n 13.372 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.373 * [backup-simplify]: Simplify (+ 1 0) into 1 13.373 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 13.373 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.373 * [taylor]: Taking taylor expansion of f in f 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 1 into 1 13.373 * [backup-simplify]: Simplify (/ 1 1) into 1 13.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.373 * [taylor]: Taking taylor expansion of n in f 13.373 * [backup-simplify]: Simplify n into n 13.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.373 * [backup-simplify]: Simplify (+ 1 0) into 1 13.373 * [backup-simplify]: Simplify (* 1 1) into 1 13.374 * [backup-simplify]: Simplify (* 1 1) into 1 13.374 * [backup-simplify]: Simplify (/ 1 1) into 1 13.374 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 13.374 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.374 * [taylor]: Taking taylor expansion of f in f 13.374 * [backup-simplify]: Simplify 0 into 0 13.374 * [backup-simplify]: Simplify 1 into 1 13.374 * [backup-simplify]: Simplify (/ 1 1) into 1 13.374 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.374 * [taylor]: Taking taylor expansion of n in f 13.374 * [backup-simplify]: Simplify n into n 13.374 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.375 * [backup-simplify]: Simplify (+ 1 0) into 1 13.375 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 13.375 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.375 * [taylor]: Taking taylor expansion of f in f 13.375 * [backup-simplify]: Simplify 0 into 0 13.375 * [backup-simplify]: Simplify 1 into 1 13.375 * [backup-simplify]: Simplify (/ 1 1) into 1 13.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.375 * [taylor]: Taking taylor expansion of n in f 13.375 * [backup-simplify]: Simplify n into n 13.375 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.375 * [backup-simplify]: Simplify (+ 1 0) into 1 13.376 * [backup-simplify]: Simplify (* 1 1) into 1 13.376 * [backup-simplify]: Simplify (* 1 1) into 1 13.376 * [backup-simplify]: Simplify (/ 1 1) into 1 13.376 * [taylor]: Taking taylor expansion of 1 in n 13.376 * [backup-simplify]: Simplify 1 into 1 13.376 * [backup-simplify]: Simplify 1 into 1 13.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.377 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.377 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 13.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.378 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 13.378 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 13.378 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 13.378 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 13.378 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 13.378 * [taylor]: Taking taylor expansion of 4 in n 13.378 * [backup-simplify]: Simplify 4 into 4 13.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.378 * [taylor]: Taking taylor expansion of n in n 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 1 into 1 13.378 * [backup-simplify]: Simplify (/ 1 1) into 1 13.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.379 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.379 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify 0 into 0 13.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.380 * [backup-simplify]: Simplify (+ 0 0) into 0 13.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 13.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.382 * [backup-simplify]: Simplify (- 0) into 0 13.382 * [backup-simplify]: Simplify (+ 0 0) into 0 13.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 13.383 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 13.383 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 13.383 * [taylor]: Taking taylor expansion of 8 in n 13.383 * [backup-simplify]: Simplify 8 into 8 13.383 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.383 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.383 * [taylor]: Taking taylor expansion of n in n 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 1 into 1 13.383 * [backup-simplify]: Simplify (* 1 1) into 1 13.384 * [backup-simplify]: Simplify (/ 1 1) into 1 13.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.388 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 13.388 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.390 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.392 * [backup-simplify]: Simplify (+ 0 0) into 0 13.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 13.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.395 * [backup-simplify]: Simplify (- 0) into 0 13.395 * [backup-simplify]: Simplify (+ 0 0) into 0 13.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 13.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 13.398 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 13.398 * [taylor]: Taking taylor expansion of 12 in n 13.398 * [backup-simplify]: Simplify 12 into 12 13.398 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.398 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.398 * [taylor]: Taking taylor expansion of n in n 13.398 * [backup-simplify]: Simplify 0 into 0 13.399 * [backup-simplify]: Simplify 1 into 1 13.399 * [backup-simplify]: Simplify (* 1 1) into 1 13.399 * [backup-simplify]: Simplify (* 1 1) into 1 13.400 * [backup-simplify]: Simplify (/ 1 1) into 1 13.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.418 * [backup-simplify]: Simplify 0 into 0 13.418 * [backup-simplify]: Simplify 1 into 1 13.419 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 13.419 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 13.419 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 13.419 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 13.419 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.419 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.419 * [taylor]: Taking taylor expansion of f in n 13.419 * [backup-simplify]: Simplify f into f 13.419 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.420 * [taylor]: Taking taylor expansion of n in n 13.420 * [backup-simplify]: Simplify 0 into 0 13.420 * [backup-simplify]: Simplify 1 into 1 13.420 * [backup-simplify]: Simplify (/ 1 1) into 1 13.420 * [backup-simplify]: Simplify (+ 0 1) into 1 13.420 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 13.420 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 13.420 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.421 * [taylor]: Taking taylor expansion of n in n 13.421 * [backup-simplify]: Simplify 0 into 0 13.421 * [backup-simplify]: Simplify 1 into 1 13.421 * [backup-simplify]: Simplify (/ 1 1) into 1 13.421 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.421 * [taylor]: Taking taylor expansion of f in n 13.421 * [backup-simplify]: Simplify f into f 13.421 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.421 * [backup-simplify]: Simplify (+ 1 0) into 1 13.422 * [backup-simplify]: Simplify (* 1 1) into 1 13.422 * [backup-simplify]: Simplify (* 1 1) into 1 13.423 * [backup-simplify]: Simplify (/ 1 1) into 1 13.423 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 13.423 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.423 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.423 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.423 * [taylor]: Taking taylor expansion of f in f 13.423 * [backup-simplify]: Simplify 0 into 0 13.423 * [backup-simplify]: Simplify 1 into 1 13.423 * [backup-simplify]: Simplify (/ 1 1) into 1 13.423 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.423 * [taylor]: Taking taylor expansion of n in f 13.423 * [backup-simplify]: Simplify n into n 13.423 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.424 * [backup-simplify]: Simplify (+ 1 0) into 1 13.424 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 13.424 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.424 * [taylor]: Taking taylor expansion of n in f 13.424 * [backup-simplify]: Simplify n into n 13.424 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.424 * [taylor]: Taking taylor expansion of f in f 13.424 * [backup-simplify]: Simplify 0 into 0 13.424 * [backup-simplify]: Simplify 1 into 1 13.424 * [backup-simplify]: Simplify (/ 1 1) into 1 13.425 * [backup-simplify]: Simplify (- 1) into -1 13.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.426 * [backup-simplify]: Simplify (* 1 1) into 1 13.426 * [backup-simplify]: Simplify (* -1 -1) into 1 13.426 * [backup-simplify]: Simplify (/ 1 1) into 1 13.426 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 13.426 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.426 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.426 * [taylor]: Taking taylor expansion of f in f 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [backup-simplify]: Simplify 1 into 1 13.427 * [backup-simplify]: Simplify (/ 1 1) into 1 13.427 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.427 * [taylor]: Taking taylor expansion of n in f 13.427 * [backup-simplify]: Simplify n into n 13.427 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.427 * [backup-simplify]: Simplify (+ 1 0) into 1 13.427 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 13.427 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.428 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.428 * [taylor]: Taking taylor expansion of n in f 13.428 * [backup-simplify]: Simplify n into n 13.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.428 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.428 * [taylor]: Taking taylor expansion of f in f 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify 1 into 1 13.428 * [backup-simplify]: Simplify (/ 1 1) into 1 13.428 * [backup-simplify]: Simplify (- 1) into -1 13.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.429 * [backup-simplify]: Simplify (* 1 1) into 1 13.430 * [backup-simplify]: Simplify (* -1 -1) into 1 13.430 * [backup-simplify]: Simplify (/ 1 1) into 1 13.430 * [taylor]: Taking taylor expansion of 1 in n 13.430 * [backup-simplify]: Simplify 1 into 1 13.430 * [backup-simplify]: Simplify 1 into 1 13.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.431 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.431 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 13.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.432 * [backup-simplify]: Simplify (- 0) into 0 13.432 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 13.432 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 13.433 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 13.433 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 13.433 * [taylor]: Taking taylor expansion of 4 in n 13.433 * [backup-simplify]: Simplify 4 into 4 13.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.433 * [taylor]: Taking taylor expansion of n in n 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify 1 into 1 13.433 * [backup-simplify]: Simplify (/ 1 1) into 1 13.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.435 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 13.435 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify 0 into 0 13.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.436 * [backup-simplify]: Simplify (+ 0 0) into 0 13.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 13.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.439 * [backup-simplify]: Simplify (- 0) into 0 13.439 * [backup-simplify]: Simplify (+ 0 0) into 0 13.440 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 13.441 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 13.441 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 13.441 * [taylor]: Taking taylor expansion of 8 in n 13.441 * [backup-simplify]: Simplify 8 into 8 13.441 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.441 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.441 * [taylor]: Taking taylor expansion of n in n 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify 1 into 1 13.442 * [backup-simplify]: Simplify (* 1 1) into 1 13.442 * [backup-simplify]: Simplify (/ 1 1) into 1 13.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.446 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 13.447 * [backup-simplify]: Simplify 0 into 0 13.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.448 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.450 * [backup-simplify]: Simplify (+ 0 0) into 0 13.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 13.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.453 * [backup-simplify]: Simplify (- 0) into 0 13.453 * [backup-simplify]: Simplify (+ 0 0) into 0 13.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 13.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 13.456 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 13.456 * [taylor]: Taking taylor expansion of 12 in n 13.456 * [backup-simplify]: Simplify 12 into 12 13.456 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.456 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.456 * [taylor]: Taking taylor expansion of n in n 13.456 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify 1 into 1 13.457 * [backup-simplify]: Simplify (* 1 1) into 1 13.457 * [backup-simplify]: Simplify (* 1 1) into 1 13.457 * [backup-simplify]: Simplify (/ 1 1) into 1 13.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.466 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 1 into 1 13.467 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 13.467 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 13.467 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 13.467 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 13.467 * [taylor]: Taking taylor expansion of -1 in n 13.467 * [backup-simplify]: Simplify -1 into -1 13.467 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 13.467 * [taylor]: Taking taylor expansion of (+ n f) in n 13.467 * [taylor]: Taking taylor expansion of n in n 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 1 into 1 13.467 * [taylor]: Taking taylor expansion of f in n 13.467 * [backup-simplify]: Simplify f into f 13.467 * [taylor]: Taking taylor expansion of (- f n) in n 13.467 * [taylor]: Taking taylor expansion of f in n 13.467 * [backup-simplify]: Simplify f into f 13.467 * [taylor]: Taking taylor expansion of n in n 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 1 into 1 13.467 * [backup-simplify]: Simplify (+ 0 f) into f 13.468 * [backup-simplify]: Simplify (- 0) into 0 13.468 * [backup-simplify]: Simplify (+ f 0) into f 13.468 * [backup-simplify]: Simplify (/ f f) into 1 13.468 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 13.468 * [taylor]: Taking taylor expansion of -1 in f 13.468 * [backup-simplify]: Simplify -1 into -1 13.468 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 13.468 * [taylor]: Taking taylor expansion of (+ n f) in f 13.468 * [taylor]: Taking taylor expansion of n in f 13.468 * [backup-simplify]: Simplify n into n 13.468 * [taylor]: Taking taylor expansion of f in f 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify 1 into 1 13.468 * [taylor]: Taking taylor expansion of (- f n) in f 13.468 * [taylor]: Taking taylor expansion of f in f 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify 1 into 1 13.468 * [taylor]: Taking taylor expansion of n in f 13.468 * [backup-simplify]: Simplify n into n 13.468 * [backup-simplify]: Simplify (+ n 0) into n 13.468 * [backup-simplify]: Simplify (- n) into (- n) 13.468 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.469 * [backup-simplify]: Simplify (/ n (- n)) into -1 13.469 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 13.469 * [taylor]: Taking taylor expansion of -1 in f 13.469 * [backup-simplify]: Simplify -1 into -1 13.469 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 13.469 * [taylor]: Taking taylor expansion of (+ n f) in f 13.469 * [taylor]: Taking taylor expansion of n in f 13.469 * [backup-simplify]: Simplify n into n 13.469 * [taylor]: Taking taylor expansion of f in f 13.469 * [backup-simplify]: Simplify 0 into 0 13.469 * [backup-simplify]: Simplify 1 into 1 13.469 * [taylor]: Taking taylor expansion of (- f n) in f 13.469 * [taylor]: Taking taylor expansion of f in f 13.469 * [backup-simplify]: Simplify 0 into 0 13.469 * [backup-simplify]: Simplify 1 into 1 13.469 * [taylor]: Taking taylor expansion of n in f 13.469 * [backup-simplify]: Simplify n into n 13.469 * [backup-simplify]: Simplify (+ n 0) into n 13.469 * [backup-simplify]: Simplify (- n) into (- n) 13.469 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.469 * [backup-simplify]: Simplify (/ n (- n)) into -1 13.470 * [backup-simplify]: Simplify (* -1 -1) into 1 13.470 * [taylor]: Taking taylor expansion of 1 in n 13.470 * [backup-simplify]: Simplify 1 into 1 13.470 * [backup-simplify]: Simplify 1 into 1 13.470 * [backup-simplify]: Simplify (+ 0 1) into 1 13.471 * [backup-simplify]: Simplify (- 0) into 0 13.471 * [backup-simplify]: Simplify (+ 1 0) into 1 13.471 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 13.472 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 13.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.472 * [taylor]: Taking taylor expansion of 2 in n 13.472 * [backup-simplify]: Simplify 2 into 2 13.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.472 * [taylor]: Taking taylor expansion of n in n 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify 1 into 1 13.472 * [backup-simplify]: Simplify (/ 1 1) into 1 13.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.474 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.474 * [backup-simplify]: Simplify 0 into 0 13.474 * [backup-simplify]: Simplify 0 into 0 13.474 * [backup-simplify]: Simplify (+ 0 0) into 0 13.475 * [backup-simplify]: Simplify (- 0) into 0 13.475 * [backup-simplify]: Simplify (+ 0 0) into 0 13.476 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 13.476 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 13.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.476 * [taylor]: Taking taylor expansion of 2 in n 13.476 * [backup-simplify]: Simplify 2 into 2 13.477 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.477 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.477 * [taylor]: Taking taylor expansion of n in n 13.477 * [backup-simplify]: Simplify 0 into 0 13.477 * [backup-simplify]: Simplify 1 into 1 13.477 * [backup-simplify]: Simplify (* 1 1) into 1 13.477 * [backup-simplify]: Simplify (/ 1 1) into 1 13.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.482 * [backup-simplify]: Simplify 0 into 0 13.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify (+ 0 0) into 0 13.484 * [backup-simplify]: Simplify (- 0) into 0 13.485 * [backup-simplify]: Simplify (+ 0 0) into 0 13.485 * [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)))) 13.486 * [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))) 13.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.486 * [taylor]: Taking taylor expansion of 2 in n 13.486 * [backup-simplify]: Simplify 2 into 2 13.486 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.486 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.486 * [taylor]: Taking taylor expansion of n in n 13.486 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify 1 into 1 13.487 * [backup-simplify]: Simplify (* 1 1) into 1 13.487 * [backup-simplify]: Simplify (* 1 1) into 1 13.488 * [backup-simplify]: Simplify (/ 1 1) into 1 13.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.494 * [backup-simplify]: Simplify 0 into 0 13.494 * [backup-simplify]: Simplify 1 into 1 13.494 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 13.494 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 13.494 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 13.494 * [taylor]: Taking taylor expansion of -1 in n 13.494 * [backup-simplify]: Simplify -1 into -1 13.494 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 13.494 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.494 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.494 * [taylor]: Taking taylor expansion of f in n 13.494 * [backup-simplify]: Simplify f into f 13.495 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.495 * [taylor]: Taking taylor expansion of n in n 13.495 * [backup-simplify]: Simplify 0 into 0 13.495 * [backup-simplify]: Simplify 1 into 1 13.495 * [backup-simplify]: Simplify (/ 1 1) into 1 13.495 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 13.495 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.495 * [taylor]: Taking taylor expansion of f in n 13.495 * [backup-simplify]: Simplify f into f 13.495 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.495 * [taylor]: Taking taylor expansion of n in n 13.495 * [backup-simplify]: Simplify 0 into 0 13.495 * [backup-simplify]: Simplify 1 into 1 13.495 * [backup-simplify]: Simplify (/ 1 1) into 1 13.495 * [backup-simplify]: Simplify (+ 0 1) into 1 13.496 * [backup-simplify]: Simplify (- 1) into -1 13.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.496 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.496 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 13.496 * [taylor]: Taking taylor expansion of -1 in f 13.496 * [backup-simplify]: Simplify -1 into -1 13.496 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 13.496 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.496 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.496 * [taylor]: Taking taylor expansion of f in f 13.496 * [backup-simplify]: Simplify 0 into 0 13.496 * [backup-simplify]: Simplify 1 into 1 13.497 * [backup-simplify]: Simplify (/ 1 1) into 1 13.497 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.497 * [taylor]: Taking taylor expansion of n in f 13.497 * [backup-simplify]: Simplify n into n 13.497 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.497 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.497 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.497 * [taylor]: Taking taylor expansion of f in f 13.497 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify 1 into 1 13.497 * [backup-simplify]: Simplify (/ 1 1) into 1 13.497 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.497 * [taylor]: Taking taylor expansion of n in f 13.497 * [backup-simplify]: Simplify n into n 13.497 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.497 * [backup-simplify]: Simplify (+ 1 0) into 1 13.498 * [backup-simplify]: Simplify (+ 1 0) into 1 13.498 * [backup-simplify]: Simplify (/ 1 1) into 1 13.498 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 13.498 * [taylor]: Taking taylor expansion of -1 in f 13.498 * [backup-simplify]: Simplify -1 into -1 13.498 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 13.498 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.498 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.498 * [taylor]: Taking taylor expansion of f in f 13.498 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify 1 into 1 13.498 * [backup-simplify]: Simplify (/ 1 1) into 1 13.498 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.498 * [taylor]: Taking taylor expansion of n in f 13.498 * [backup-simplify]: Simplify n into n 13.498 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.498 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.498 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.498 * [taylor]: Taking taylor expansion of f in f 13.498 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify 1 into 1 13.499 * [backup-simplify]: Simplify (/ 1 1) into 1 13.499 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.499 * [taylor]: Taking taylor expansion of n in f 13.499 * [backup-simplify]: Simplify n into n 13.499 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.499 * [backup-simplify]: Simplify (+ 1 0) into 1 13.499 * [backup-simplify]: Simplify (+ 1 0) into 1 13.500 * [backup-simplify]: Simplify (/ 1 1) into 1 13.500 * [backup-simplify]: Simplify (* -1 1) into -1 13.500 * [taylor]: Taking taylor expansion of -1 in n 13.500 * [backup-simplify]: Simplify -1 into -1 13.500 * [backup-simplify]: Simplify -1 into -1 13.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.501 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.501 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 13.501 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 13.501 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 13.502 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 13.502 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.502 * [taylor]: Taking taylor expansion of 2 in n 13.502 * [backup-simplify]: Simplify 2 into 2 13.502 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.502 * [taylor]: Taking taylor expansion of n in n 13.502 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify 1 into 1 13.502 * [backup-simplify]: Simplify (/ 1 1) into 1 13.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.503 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.503 * [backup-simplify]: Simplify (- 0) into 0 13.503 * [backup-simplify]: Simplify 0 into 0 13.503 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.504 * [backup-simplify]: Simplify (+ 0 0) into 0 13.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.505 * [backup-simplify]: Simplify (- 0) into 0 13.505 * [backup-simplify]: Simplify (+ 0 0) into 0 13.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 13.506 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 13.506 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.506 * [taylor]: Taking taylor expansion of 2 in n 13.506 * [backup-simplify]: Simplify 2 into 2 13.506 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.506 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.506 * [taylor]: Taking taylor expansion of n in n 13.506 * [backup-simplify]: Simplify 0 into 0 13.506 * [backup-simplify]: Simplify 1 into 1 13.507 * [backup-simplify]: Simplify (* 1 1) into 1 13.507 * [backup-simplify]: Simplify (/ 1 1) into 1 13.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.509 * [backup-simplify]: Simplify (- 0) into 0 13.509 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.511 * [backup-simplify]: Simplify (- 0) into 0 13.511 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify 0 into 0 13.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.512 * [backup-simplify]: Simplify (+ 0 0) into 0 13.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.513 * [backup-simplify]: Simplify (- 0) into 0 13.513 * [backup-simplify]: Simplify (+ 0 0) into 0 13.514 * [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))) 13.515 * [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)))) 13.515 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.515 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.515 * [taylor]: Taking taylor expansion of 2 in n 13.515 * [backup-simplify]: Simplify 2 into 2 13.515 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.515 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.515 * [taylor]: Taking taylor expansion of n in n 13.515 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify 1 into 1 13.515 * [backup-simplify]: Simplify (* 1 1) into 1 13.516 * [backup-simplify]: Simplify (* 1 1) into 1 13.516 * [backup-simplify]: Simplify (/ 1 1) into 1 13.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.523 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.523 * [backup-simplify]: Simplify (- 0) into 0 13.523 * [backup-simplify]: Simplify 0 into 0 13.523 * [backup-simplify]: Simplify -1 into -1 13.523 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 13.523 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 13.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 13.523 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.523 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.523 * [taylor]: Taking taylor expansion of f in n 13.523 * [backup-simplify]: Simplify f into f 13.524 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.524 * [taylor]: Taking taylor expansion of n in n 13.524 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify 1 into 1 13.524 * [backup-simplify]: Simplify (/ 1 1) into 1 13.524 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 13.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.524 * [taylor]: Taking taylor expansion of n in n 13.524 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify 1 into 1 13.524 * [backup-simplify]: Simplify (/ 1 1) into 1 13.524 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.524 * [taylor]: Taking taylor expansion of f in n 13.524 * [backup-simplify]: Simplify f into f 13.524 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.525 * [backup-simplify]: Simplify (+ 0 1) into 1 13.525 * [backup-simplify]: Simplify (+ 1 0) into 1 13.525 * [backup-simplify]: Simplify (/ 1 1) into 1 13.525 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 13.525 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.525 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.525 * [taylor]: Taking taylor expansion of f in f 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [backup-simplify]: Simplify (/ 1 1) into 1 13.525 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.526 * [taylor]: Taking taylor expansion of n in f 13.526 * [backup-simplify]: Simplify n into n 13.526 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.526 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.526 * [taylor]: Taking taylor expansion of n in f 13.526 * [backup-simplify]: Simplify n into n 13.526 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.526 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.526 * [taylor]: Taking taylor expansion of f in f 13.526 * [backup-simplify]: Simplify 0 into 0 13.526 * [backup-simplify]: Simplify 1 into 1 13.526 * [backup-simplify]: Simplify (/ 1 1) into 1 13.526 * [backup-simplify]: Simplify (+ 1 0) into 1 13.526 * [backup-simplify]: Simplify (- 1) into -1 13.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.527 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.527 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 13.527 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.527 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.527 * [taylor]: Taking taylor expansion of f in f 13.527 * [backup-simplify]: Simplify 0 into 0 13.527 * [backup-simplify]: Simplify 1 into 1 13.528 * [backup-simplify]: Simplify (/ 1 1) into 1 13.528 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.528 * [taylor]: Taking taylor expansion of n in f 13.528 * [backup-simplify]: Simplify n into n 13.528 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.528 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.528 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.528 * [taylor]: Taking taylor expansion of n in f 13.528 * [backup-simplify]: Simplify n into n 13.528 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.528 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.528 * [taylor]: Taking taylor expansion of f in f 13.528 * [backup-simplify]: Simplify 0 into 0 13.528 * [backup-simplify]: Simplify 1 into 1 13.528 * [backup-simplify]: Simplify (/ 1 1) into 1 13.529 * [backup-simplify]: Simplify (+ 1 0) into 1 13.529 * [backup-simplify]: Simplify (- 1) into -1 13.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.530 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.530 * [taylor]: Taking taylor expansion of -1 in n 13.530 * [backup-simplify]: Simplify -1 into -1 13.530 * [backup-simplify]: Simplify -1 into -1 13.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.531 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.532 * [backup-simplify]: Simplify (- 0) into 0 13.532 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 13.533 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 13.533 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.533 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.533 * [taylor]: Taking taylor expansion of 2 in n 13.533 * [backup-simplify]: Simplify 2 into 2 13.533 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.533 * [taylor]: Taking taylor expansion of n in n 13.533 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify 1 into 1 13.533 * [backup-simplify]: Simplify (/ 1 1) into 1 13.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.535 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.535 * [backup-simplify]: Simplify (- 0) into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.537 * [backup-simplify]: Simplify (+ 0 0) into 0 13.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.543 * [backup-simplify]: Simplify (- 0) into 0 13.544 * [backup-simplify]: Simplify (+ 0 0) into 0 13.545 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 13.545 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.545 * [taylor]: Taking taylor expansion of 2 in n 13.545 * [backup-simplify]: Simplify 2 into 2 13.545 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.545 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.545 * [taylor]: Taking taylor expansion of n in n 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify 1 into 1 13.546 * [backup-simplify]: Simplify (* 1 1) into 1 13.546 * [backup-simplify]: Simplify (/ 1 1) into 1 13.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.551 * [backup-simplify]: Simplify (- 0) into 0 13.551 * [backup-simplify]: Simplify 0 into 0 13.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.553 * [backup-simplify]: Simplify (- 0) into 0 13.553 * [backup-simplify]: Simplify 0 into 0 13.553 * [backup-simplify]: Simplify 0 into 0 13.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.555 * [backup-simplify]: Simplify (+ 0 0) into 0 13.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.556 * [backup-simplify]: Simplify (- 0) into 0 13.556 * [backup-simplify]: Simplify (+ 0 0) into 0 13.558 * [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)))) 13.558 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.558 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.558 * [taylor]: Taking taylor expansion of 2 in n 13.558 * [backup-simplify]: Simplify 2 into 2 13.558 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.558 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.558 * [taylor]: Taking taylor expansion of n in n 13.558 * [backup-simplify]: Simplify 0 into 0 13.559 * [backup-simplify]: Simplify 1 into 1 13.559 * [backup-simplify]: Simplify (* 1 1) into 1 13.559 * [backup-simplify]: Simplify (* 1 1) into 1 13.560 * [backup-simplify]: Simplify (/ 1 1) into 1 13.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.569 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.569 * [backup-simplify]: Simplify (- 0) into 0 13.569 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify -1 into -1 13.570 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 13.570 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 13.570 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 13.570 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 13.570 * [taylor]: Taking taylor expansion of -1 in n 13.570 * [backup-simplify]: Simplify -1 into -1 13.570 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 13.570 * [taylor]: Taking taylor expansion of (+ n f) in n 13.570 * [taylor]: Taking taylor expansion of n in n 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify 1 into 1 13.570 * [taylor]: Taking taylor expansion of f in n 13.570 * [backup-simplify]: Simplify f into f 13.570 * [taylor]: Taking taylor expansion of (- f n) in n 13.570 * [taylor]: Taking taylor expansion of f in n 13.570 * [backup-simplify]: Simplify f into f 13.570 * [taylor]: Taking taylor expansion of n in n 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify 1 into 1 13.570 * [backup-simplify]: Simplify (+ 0 f) into f 13.571 * [backup-simplify]: Simplify (- 0) into 0 13.571 * [backup-simplify]: Simplify (+ f 0) into f 13.571 * [backup-simplify]: Simplify (/ f f) into 1 13.571 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 13.571 * [taylor]: Taking taylor expansion of -1 in f 13.571 * [backup-simplify]: Simplify -1 into -1 13.571 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 13.571 * [taylor]: Taking taylor expansion of (+ n f) in f 13.571 * [taylor]: Taking taylor expansion of n in f 13.571 * [backup-simplify]: Simplify n into n 13.571 * [taylor]: Taking taylor expansion of f in f 13.571 * [backup-simplify]: Simplify 0 into 0 13.571 * [backup-simplify]: Simplify 1 into 1 13.571 * [taylor]: Taking taylor expansion of (- f n) in f 13.571 * [taylor]: Taking taylor expansion of f in f 13.571 * [backup-simplify]: Simplify 0 into 0 13.571 * [backup-simplify]: Simplify 1 into 1 13.571 * [taylor]: Taking taylor expansion of n in f 13.571 * [backup-simplify]: Simplify n into n 13.571 * [backup-simplify]: Simplify (+ n 0) into n 13.571 * [backup-simplify]: Simplify (- n) into (- n) 13.571 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.572 * [backup-simplify]: Simplify (/ n (- n)) into -1 13.572 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 13.572 * [taylor]: Taking taylor expansion of -1 in f 13.572 * [backup-simplify]: Simplify -1 into -1 13.572 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 13.572 * [taylor]: Taking taylor expansion of (+ n f) in f 13.572 * [taylor]: Taking taylor expansion of n in f 13.572 * [backup-simplify]: Simplify n into n 13.572 * [taylor]: Taking taylor expansion of f in f 13.572 * [backup-simplify]: Simplify 0 into 0 13.572 * [backup-simplify]: Simplify 1 into 1 13.572 * [taylor]: Taking taylor expansion of (- f n) in f 13.572 * [taylor]: Taking taylor expansion of f in f 13.572 * [backup-simplify]: Simplify 0 into 0 13.572 * [backup-simplify]: Simplify 1 into 1 13.572 * [taylor]: Taking taylor expansion of n in f 13.572 * [backup-simplify]: Simplify n into n 13.572 * [backup-simplify]: Simplify (+ n 0) into n 13.572 * [backup-simplify]: Simplify (- n) into (- n) 13.572 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.572 * [backup-simplify]: Simplify (/ n (- n)) into -1 13.573 * [backup-simplify]: Simplify (* -1 -1) into 1 13.573 * [taylor]: Taking taylor expansion of 1 in n 13.573 * [backup-simplify]: Simplify 1 into 1 13.573 * [backup-simplify]: Simplify 1 into 1 13.573 * [backup-simplify]: Simplify (+ 0 1) into 1 13.574 * [backup-simplify]: Simplify (- 0) into 0 13.574 * [backup-simplify]: Simplify (+ 1 0) into 1 13.574 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 13.575 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 13.575 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.575 * [taylor]: Taking taylor expansion of 2 in n 13.575 * [backup-simplify]: Simplify 2 into 2 13.575 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.575 * [taylor]: Taking taylor expansion of n in n 13.575 * [backup-simplify]: Simplify 0 into 0 13.575 * [backup-simplify]: Simplify 1 into 1 13.575 * [backup-simplify]: Simplify (/ 1 1) into 1 13.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.577 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.577 * [backup-simplify]: Simplify 0 into 0 13.577 * [backup-simplify]: Simplify 0 into 0 13.577 * [backup-simplify]: Simplify (+ 0 0) into 0 13.578 * [backup-simplify]: Simplify (- 0) into 0 13.578 * [backup-simplify]: Simplify (+ 0 0) into 0 13.578 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 13.579 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 13.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.579 * [taylor]: Taking taylor expansion of 2 in n 13.579 * [backup-simplify]: Simplify 2 into 2 13.579 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.579 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.579 * [taylor]: Taking taylor expansion of n in n 13.579 * [backup-simplify]: Simplify 0 into 0 13.579 * [backup-simplify]: Simplify 1 into 1 13.580 * [backup-simplify]: Simplify (* 1 1) into 1 13.580 * [backup-simplify]: Simplify (/ 1 1) into 1 13.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.584 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.584 * [backup-simplify]: Simplify 0 into 0 13.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.586 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.586 * [backup-simplify]: Simplify 0 into 0 13.586 * [backup-simplify]: Simplify 0 into 0 13.587 * [backup-simplify]: Simplify (+ 0 0) into 0 13.587 * [backup-simplify]: Simplify (- 0) into 0 13.588 * [backup-simplify]: Simplify (+ 0 0) into 0 13.588 * [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)))) 13.589 * [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))) 13.589 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.589 * [taylor]: Taking taylor expansion of 2 in n 13.589 * [backup-simplify]: Simplify 2 into 2 13.589 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.589 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.589 * [taylor]: Taking taylor expansion of n in n 13.589 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify 1 into 1 13.590 * [backup-simplify]: Simplify (* 1 1) into 1 13.590 * [backup-simplify]: Simplify (* 1 1) into 1 13.591 * [backup-simplify]: Simplify (/ 1 1) into 1 13.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.600 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify 1 into 1 13.600 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 13.600 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 13.600 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 13.600 * [taylor]: Taking taylor expansion of -1 in n 13.600 * [backup-simplify]: Simplify -1 into -1 13.600 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 13.600 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.600 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.600 * [taylor]: Taking taylor expansion of f in n 13.600 * [backup-simplify]: Simplify f into f 13.600 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.600 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.600 * [taylor]: Taking taylor expansion of n in n 13.600 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify 1 into 1 13.601 * [backup-simplify]: Simplify (/ 1 1) into 1 13.601 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 13.601 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.601 * [taylor]: Taking taylor expansion of f in n 13.601 * [backup-simplify]: Simplify f into f 13.601 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.601 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.601 * [taylor]: Taking taylor expansion of n in n 13.601 * [backup-simplify]: Simplify 0 into 0 13.601 * [backup-simplify]: Simplify 1 into 1 13.601 * [backup-simplify]: Simplify (/ 1 1) into 1 13.602 * [backup-simplify]: Simplify (+ 0 1) into 1 13.602 * [backup-simplify]: Simplify (- 1) into -1 13.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.603 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.603 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 13.603 * [taylor]: Taking taylor expansion of -1 in f 13.603 * [backup-simplify]: Simplify -1 into -1 13.603 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 13.603 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.603 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.603 * [taylor]: Taking taylor expansion of f in f 13.603 * [backup-simplify]: Simplify 0 into 0 13.603 * [backup-simplify]: Simplify 1 into 1 13.604 * [backup-simplify]: Simplify (/ 1 1) into 1 13.604 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.604 * [taylor]: Taking taylor expansion of n in f 13.604 * [backup-simplify]: Simplify n into n 13.604 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.604 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.604 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.604 * [taylor]: Taking taylor expansion of f in f 13.604 * [backup-simplify]: Simplify 0 into 0 13.604 * [backup-simplify]: Simplify 1 into 1 13.605 * [backup-simplify]: Simplify (/ 1 1) into 1 13.605 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.605 * [taylor]: Taking taylor expansion of n in f 13.605 * [backup-simplify]: Simplify n into n 13.605 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.605 * [backup-simplify]: Simplify (+ 1 0) into 1 13.606 * [backup-simplify]: Simplify (+ 1 0) into 1 13.606 * [backup-simplify]: Simplify (/ 1 1) into 1 13.606 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 13.606 * [taylor]: Taking taylor expansion of -1 in f 13.606 * [backup-simplify]: Simplify -1 into -1 13.606 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 13.606 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.606 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.606 * [taylor]: Taking taylor expansion of f in f 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.607 * [backup-simplify]: Simplify (/ 1 1) into 1 13.607 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.607 * [taylor]: Taking taylor expansion of n in f 13.607 * [backup-simplify]: Simplify n into n 13.607 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.607 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.607 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.607 * [taylor]: Taking taylor expansion of f in f 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.608 * [backup-simplify]: Simplify (/ 1 1) into 1 13.608 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.608 * [taylor]: Taking taylor expansion of n in f 13.608 * [backup-simplify]: Simplify n into n 13.608 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.608 * [backup-simplify]: Simplify (+ 1 0) into 1 13.609 * [backup-simplify]: Simplify (+ 1 0) into 1 13.609 * [backup-simplify]: Simplify (/ 1 1) into 1 13.609 * [backup-simplify]: Simplify (* -1 1) into -1 13.610 * [taylor]: Taking taylor expansion of -1 in n 13.610 * [backup-simplify]: Simplify -1 into -1 13.610 * [backup-simplify]: Simplify -1 into -1 13.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.611 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.611 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 13.612 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 13.612 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 13.613 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 13.613 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.613 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.613 * [taylor]: Taking taylor expansion of 2 in n 13.613 * [backup-simplify]: Simplify 2 into 2 13.613 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.613 * [taylor]: Taking taylor expansion of n in n 13.613 * [backup-simplify]: Simplify 0 into 0 13.613 * [backup-simplify]: Simplify 1 into 1 13.613 * [backup-simplify]: Simplify (/ 1 1) into 1 13.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.615 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.615 * [backup-simplify]: Simplify (- 0) into 0 13.615 * [backup-simplify]: Simplify 0 into 0 13.615 * [backup-simplify]: Simplify 0 into 0 13.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.617 * [backup-simplify]: Simplify (+ 0 0) into 0 13.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.618 * [backup-simplify]: Simplify (- 0) into 0 13.618 * [backup-simplify]: Simplify (+ 0 0) into 0 13.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 13.620 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 13.620 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.620 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.620 * [taylor]: Taking taylor expansion of 2 in n 13.620 * [backup-simplify]: Simplify 2 into 2 13.620 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.620 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.620 * [taylor]: Taking taylor expansion of n in n 13.620 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify 1 into 1 13.621 * [backup-simplify]: Simplify (* 1 1) into 1 13.621 * [backup-simplify]: Simplify (/ 1 1) into 1 13.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.626 * [backup-simplify]: Simplify (- 0) into 0 13.626 * [backup-simplify]: Simplify 0 into 0 13.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.628 * [backup-simplify]: Simplify (- 0) into 0 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 0 into 0 13.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.630 * [backup-simplify]: Simplify (+ 0 0) into 0 13.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.631 * [backup-simplify]: Simplify (- 0) into 0 13.632 * [backup-simplify]: Simplify (+ 0 0) into 0 13.633 * [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))) 13.634 * [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)))) 13.634 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.634 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.634 * [taylor]: Taking taylor expansion of 2 in n 13.635 * [backup-simplify]: Simplify 2 into 2 13.635 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.635 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.635 * [taylor]: Taking taylor expansion of n in n 13.635 * [backup-simplify]: Simplify 0 into 0 13.635 * [backup-simplify]: Simplify 1 into 1 13.635 * [backup-simplify]: Simplify (* 1 1) into 1 13.635 * [backup-simplify]: Simplify (* 1 1) into 1 13.636 * [backup-simplify]: Simplify (/ 1 1) into 1 13.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.645 * [backup-simplify]: Simplify (- 0) into 0 13.645 * [backup-simplify]: Simplify 0 into 0 13.645 * [backup-simplify]: Simplify -1 into -1 13.646 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 13.646 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 13.646 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 13.646 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.646 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.646 * [taylor]: Taking taylor expansion of f in n 13.646 * [backup-simplify]: Simplify f into f 13.646 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.646 * [taylor]: Taking taylor expansion of n in n 13.646 * [backup-simplify]: Simplify 0 into 0 13.646 * [backup-simplify]: Simplify 1 into 1 13.646 * [backup-simplify]: Simplify (/ 1 1) into 1 13.646 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 13.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.646 * [taylor]: Taking taylor expansion of n in n 13.647 * [backup-simplify]: Simplify 0 into 0 13.647 * [backup-simplify]: Simplify 1 into 1 13.647 * [backup-simplify]: Simplify (/ 1 1) into 1 13.647 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.647 * [taylor]: Taking taylor expansion of f in n 13.647 * [backup-simplify]: Simplify f into f 13.647 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.648 * [backup-simplify]: Simplify (+ 0 1) into 1 13.648 * [backup-simplify]: Simplify (+ 1 0) into 1 13.648 * [backup-simplify]: Simplify (/ 1 1) into 1 13.648 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 13.648 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.648 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.648 * [taylor]: Taking taylor expansion of f in f 13.648 * [backup-simplify]: Simplify 0 into 0 13.649 * [backup-simplify]: Simplify 1 into 1 13.649 * [backup-simplify]: Simplify (/ 1 1) into 1 13.649 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.649 * [taylor]: Taking taylor expansion of n in f 13.649 * [backup-simplify]: Simplify n into n 13.649 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.649 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.649 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.649 * [taylor]: Taking taylor expansion of n in f 13.649 * [backup-simplify]: Simplify n into n 13.649 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.649 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.649 * [taylor]: Taking taylor expansion of f in f 13.649 * [backup-simplify]: Simplify 0 into 0 13.649 * [backup-simplify]: Simplify 1 into 1 13.650 * [backup-simplify]: Simplify (/ 1 1) into 1 13.650 * [backup-simplify]: Simplify (+ 1 0) into 1 13.650 * [backup-simplify]: Simplify (- 1) into -1 13.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.651 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.651 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 13.651 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.651 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.651 * [taylor]: Taking taylor expansion of f in f 13.651 * [backup-simplify]: Simplify 0 into 0 13.651 * [backup-simplify]: Simplify 1 into 1 13.652 * [backup-simplify]: Simplify (/ 1 1) into 1 13.652 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.652 * [taylor]: Taking taylor expansion of n in f 13.652 * [backup-simplify]: Simplify n into n 13.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.652 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.652 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.652 * [taylor]: Taking taylor expansion of n in f 13.652 * [backup-simplify]: Simplify n into n 13.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.652 * [taylor]: Taking taylor expansion of f in f 13.652 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify 1 into 1 13.653 * [backup-simplify]: Simplify (/ 1 1) into 1 13.653 * [backup-simplify]: Simplify (+ 1 0) into 1 13.653 * [backup-simplify]: Simplify (- 1) into -1 13.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.654 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.654 * [taylor]: Taking taylor expansion of -1 in n 13.654 * [backup-simplify]: Simplify -1 into -1 13.654 * [backup-simplify]: Simplify -1 into -1 13.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.655 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.657 * [backup-simplify]: Simplify (- 0) into 0 13.657 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 13.657 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 13.657 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.657 * [taylor]: Taking taylor expansion of 2 in n 13.657 * [backup-simplify]: Simplify 2 into 2 13.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.657 * [taylor]: Taking taylor expansion of n in n 13.657 * [backup-simplify]: Simplify 0 into 0 13.657 * [backup-simplify]: Simplify 1 into 1 13.657 * [backup-simplify]: Simplify (/ 1 1) into 1 13.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.659 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.659 * [backup-simplify]: Simplify (- 0) into 0 13.659 * [backup-simplify]: Simplify 0 into 0 13.659 * [backup-simplify]: Simplify 0 into 0 13.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.661 * [backup-simplify]: Simplify (+ 0 0) into 0 13.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.663 * [backup-simplify]: Simplify (- 0) into 0 13.663 * [backup-simplify]: Simplify (+ 0 0) into 0 13.664 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 13.664 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.664 * [taylor]: Taking taylor expansion of 2 in n 13.665 * [backup-simplify]: Simplify 2 into 2 13.665 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.665 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.665 * [taylor]: Taking taylor expansion of n in n 13.665 * [backup-simplify]: Simplify 0 into 0 13.665 * [backup-simplify]: Simplify 1 into 1 13.665 * [backup-simplify]: Simplify (* 1 1) into 1 13.665 * [backup-simplify]: Simplify (/ 1 1) into 1 13.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.671 * [backup-simplify]: Simplify (- 0) into 0 13.671 * [backup-simplify]: Simplify 0 into 0 13.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.673 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.673 * [backup-simplify]: Simplify (- 0) into 0 13.673 * [backup-simplify]: Simplify 0 into 0 13.673 * [backup-simplify]: Simplify 0 into 0 13.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.675 * [backup-simplify]: Simplify (+ 0 0) into 0 13.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.676 * [backup-simplify]: Simplify (- 0) into 0 13.676 * [backup-simplify]: Simplify (+ 0 0) into 0 13.678 * [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)))) 13.678 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.678 * [taylor]: Taking taylor expansion of 2 in n 13.678 * [backup-simplify]: Simplify 2 into 2 13.678 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.679 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.679 * [taylor]: Taking taylor expansion of n in n 13.679 * [backup-simplify]: Simplify 0 into 0 13.679 * [backup-simplify]: Simplify 1 into 1 13.679 * [backup-simplify]: Simplify (* 1 1) into 1 13.679 * [backup-simplify]: Simplify (* 1 1) into 1 13.680 * [backup-simplify]: Simplify (/ 1 1) into 1 13.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.694 * [backup-simplify]: Simplify (- 0) into 0 13.694 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify -1 into -1 13.694 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 13.694 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 13.694 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 13.694 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 13.694 * [taylor]: Taking taylor expansion of -1 in n 13.695 * [backup-simplify]: Simplify -1 into -1 13.695 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 13.695 * [taylor]: Taking taylor expansion of (+ n f) in n 13.695 * [taylor]: Taking taylor expansion of n in n 13.695 * [backup-simplify]: Simplify 0 into 0 13.695 * [backup-simplify]: Simplify 1 into 1 13.695 * [taylor]: Taking taylor expansion of f in n 13.695 * [backup-simplify]: Simplify f into f 13.695 * [taylor]: Taking taylor expansion of (- f n) in n 13.695 * [taylor]: Taking taylor expansion of f in n 13.695 * [backup-simplify]: Simplify f into f 13.695 * [taylor]: Taking taylor expansion of n in n 13.695 * [backup-simplify]: Simplify 0 into 0 13.695 * [backup-simplify]: Simplify 1 into 1 13.695 * [backup-simplify]: Simplify (+ 0 f) into f 13.695 * [backup-simplify]: Simplify (- 0) into 0 13.695 * [backup-simplify]: Simplify (+ f 0) into f 13.695 * [backup-simplify]: Simplify (/ f f) into 1 13.695 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 13.695 * [taylor]: Taking taylor expansion of -1 in f 13.695 * [backup-simplify]: Simplify -1 into -1 13.696 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 13.696 * [taylor]: Taking taylor expansion of (+ n f) in f 13.696 * [taylor]: Taking taylor expansion of n in f 13.696 * [backup-simplify]: Simplify n into n 13.696 * [taylor]: Taking taylor expansion of f in f 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.696 * [taylor]: Taking taylor expansion of (- f n) in f 13.696 * [taylor]: Taking taylor expansion of f in f 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.696 * [taylor]: Taking taylor expansion of n in f 13.696 * [backup-simplify]: Simplify n into n 13.696 * [backup-simplify]: Simplify (+ n 0) into n 13.696 * [backup-simplify]: Simplify (- n) into (- n) 13.696 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.696 * [backup-simplify]: Simplify (/ n (- n)) into -1 13.696 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 13.696 * [taylor]: Taking taylor expansion of -1 in f 13.696 * [backup-simplify]: Simplify -1 into -1 13.696 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 13.696 * [taylor]: Taking taylor expansion of (+ n f) in f 13.696 * [taylor]: Taking taylor expansion of n in f 13.696 * [backup-simplify]: Simplify n into n 13.696 * [taylor]: Taking taylor expansion of f in f 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.696 * [taylor]: Taking taylor expansion of (- f n) in f 13.696 * [taylor]: Taking taylor expansion of f in f 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.697 * [taylor]: Taking taylor expansion of n in f 13.697 * [backup-simplify]: Simplify n into n 13.697 * [backup-simplify]: Simplify (+ n 0) into n 13.697 * [backup-simplify]: Simplify (- n) into (- n) 13.697 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 13.697 * [backup-simplify]: Simplify (/ n (- n)) into -1 13.697 * [backup-simplify]: Simplify (* -1 -1) into 1 13.697 * [taylor]: Taking taylor expansion of 1 in n 13.697 * [backup-simplify]: Simplify 1 into 1 13.697 * [backup-simplify]: Simplify 1 into 1 13.698 * [backup-simplify]: Simplify (+ 0 1) into 1 13.698 * [backup-simplify]: Simplify (- 0) into 0 13.699 * [backup-simplify]: Simplify (+ 1 0) into 1 13.699 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 13.699 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 13.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.699 * [taylor]: Taking taylor expansion of 2 in n 13.699 * [backup-simplify]: Simplify 2 into 2 13.699 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.699 * [taylor]: Taking taylor expansion of n in n 13.699 * [backup-simplify]: Simplify 0 into 0 13.699 * [backup-simplify]: Simplify 1 into 1 13.700 * [backup-simplify]: Simplify (/ 1 1) into 1 13.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.701 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.701 * [backup-simplify]: Simplify 0 into 0 13.701 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify (+ 0 0) into 0 13.702 * [backup-simplify]: Simplify (- 0) into 0 13.702 * [backup-simplify]: Simplify (+ 0 0) into 0 13.703 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 13.704 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 13.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.704 * [taylor]: Taking taylor expansion of 2 in n 13.704 * [backup-simplify]: Simplify 2 into 2 13.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.704 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.704 * [taylor]: Taking taylor expansion of n in n 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 1 into 1 13.704 * [backup-simplify]: Simplify (* 1 1) into 1 13.705 * [backup-simplify]: Simplify (/ 1 1) into 1 13.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.709 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.711 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.711 * [backup-simplify]: Simplify 0 into 0 13.711 * [backup-simplify]: Simplify 0 into 0 13.711 * [backup-simplify]: Simplify (+ 0 0) into 0 13.711 * [backup-simplify]: Simplify (- 0) into 0 13.712 * [backup-simplify]: Simplify (+ 0 0) into 0 13.712 * [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)))) 13.714 * [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))) 13.714 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.714 * [taylor]: Taking taylor expansion of 2 in n 13.714 * [backup-simplify]: Simplify 2 into 2 13.714 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.714 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.714 * [taylor]: Taking taylor expansion of n in n 13.714 * [backup-simplify]: Simplify 0 into 0 13.714 * [backup-simplify]: Simplify 1 into 1 13.714 * [backup-simplify]: Simplify (* 1 1) into 1 13.715 * [backup-simplify]: Simplify (* 1 1) into 1 13.715 * [backup-simplify]: Simplify (/ 1 1) into 1 13.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.724 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify 1 into 1 13.724 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 13.725 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 13.725 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 13.725 * [taylor]: Taking taylor expansion of -1 in n 13.725 * [backup-simplify]: Simplify -1 into -1 13.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 13.725 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.725 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.725 * [taylor]: Taking taylor expansion of f in n 13.725 * [backup-simplify]: Simplify f into f 13.725 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.725 * [taylor]: Taking taylor expansion of n in n 13.725 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify 1 into 1 13.725 * [backup-simplify]: Simplify (/ 1 1) into 1 13.725 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 13.725 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.725 * [taylor]: Taking taylor expansion of f in n 13.725 * [backup-simplify]: Simplify f into f 13.725 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.726 * [taylor]: Taking taylor expansion of n in n 13.726 * [backup-simplify]: Simplify 0 into 0 13.726 * [backup-simplify]: Simplify 1 into 1 13.726 * [backup-simplify]: Simplify (/ 1 1) into 1 13.726 * [backup-simplify]: Simplify (+ 0 1) into 1 13.727 * [backup-simplify]: Simplify (- 1) into -1 13.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.728 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.728 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 13.728 * [taylor]: Taking taylor expansion of -1 in f 13.728 * [backup-simplify]: Simplify -1 into -1 13.728 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 13.728 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.728 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.728 * [taylor]: Taking taylor expansion of f in f 13.728 * [backup-simplify]: Simplify 0 into 0 13.728 * [backup-simplify]: Simplify 1 into 1 13.728 * [backup-simplify]: Simplify (/ 1 1) into 1 13.728 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.728 * [taylor]: Taking taylor expansion of n in f 13.728 * [backup-simplify]: Simplify n into n 13.728 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.728 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.728 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.728 * [taylor]: Taking taylor expansion of f in f 13.728 * [backup-simplify]: Simplify 0 into 0 13.728 * [backup-simplify]: Simplify 1 into 1 13.729 * [backup-simplify]: Simplify (/ 1 1) into 1 13.729 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.729 * [taylor]: Taking taylor expansion of n in f 13.729 * [backup-simplify]: Simplify n into n 13.729 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.729 * [backup-simplify]: Simplify (+ 1 0) into 1 13.730 * [backup-simplify]: Simplify (+ 1 0) into 1 13.730 * [backup-simplify]: Simplify (/ 1 1) into 1 13.730 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 13.730 * [taylor]: Taking taylor expansion of -1 in f 13.730 * [backup-simplify]: Simplify -1 into -1 13.730 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 13.730 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.730 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.730 * [taylor]: Taking taylor expansion of f in f 13.730 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify 1 into 1 13.731 * [backup-simplify]: Simplify (/ 1 1) into 1 13.731 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.731 * [taylor]: Taking taylor expansion of n in f 13.731 * [backup-simplify]: Simplify n into n 13.731 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.731 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 13.731 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.731 * [taylor]: Taking taylor expansion of f in f 13.731 * [backup-simplify]: Simplify 0 into 0 13.731 * [backup-simplify]: Simplify 1 into 1 13.732 * [backup-simplify]: Simplify (/ 1 1) into 1 13.732 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.732 * [taylor]: Taking taylor expansion of n in f 13.732 * [backup-simplify]: Simplify n into n 13.732 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.732 * [backup-simplify]: Simplify (+ 1 0) into 1 13.732 * [backup-simplify]: Simplify (+ 1 0) into 1 13.733 * [backup-simplify]: Simplify (/ 1 1) into 1 13.733 * [backup-simplify]: Simplify (* -1 1) into -1 13.733 * [taylor]: Taking taylor expansion of -1 in n 13.733 * [backup-simplify]: Simplify -1 into -1 13.733 * [backup-simplify]: Simplify -1 into -1 13.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.734 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.735 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 13.735 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 13.735 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 13.736 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 13.736 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.736 * [taylor]: Taking taylor expansion of 2 in n 13.736 * [backup-simplify]: Simplify 2 into 2 13.736 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.736 * [taylor]: Taking taylor expansion of n in n 13.736 * [backup-simplify]: Simplify 0 into 0 13.736 * [backup-simplify]: Simplify 1 into 1 13.737 * [backup-simplify]: Simplify (/ 1 1) into 1 13.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.738 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.738 * [backup-simplify]: Simplify (- 0) into 0 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify 0 into 0 13.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.740 * [backup-simplify]: Simplify (+ 0 0) into 0 13.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.741 * [backup-simplify]: Simplify (- 0) into 0 13.742 * [backup-simplify]: Simplify (+ 0 0) into 0 13.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 13.744 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 13.744 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.744 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.744 * [taylor]: Taking taylor expansion of 2 in n 13.744 * [backup-simplify]: Simplify 2 into 2 13.744 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.744 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.744 * [taylor]: Taking taylor expansion of n in n 13.744 * [backup-simplify]: Simplify 0 into 0 13.744 * [backup-simplify]: Simplify 1 into 1 13.744 * [backup-simplify]: Simplify (* 1 1) into 1 13.745 * [backup-simplify]: Simplify (/ 1 1) into 1 13.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.749 * [backup-simplify]: Simplify (- 0) into 0 13.749 * [backup-simplify]: Simplify 0 into 0 13.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.751 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.751 * [backup-simplify]: Simplify (- 0) into 0 13.751 * [backup-simplify]: Simplify 0 into 0 13.752 * [backup-simplify]: Simplify 0 into 0 13.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.753 * [backup-simplify]: Simplify (+ 0 0) into 0 13.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.755 * [backup-simplify]: Simplify (- 0) into 0 13.755 * [backup-simplify]: Simplify (+ 0 0) into 0 13.757 * [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))) 13.758 * [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)))) 13.758 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.758 * [taylor]: Taking taylor expansion of 2 in n 13.758 * [backup-simplify]: Simplify 2 into 2 13.758 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.758 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.758 * [taylor]: Taking taylor expansion of n in n 13.758 * [backup-simplify]: Simplify 0 into 0 13.758 * [backup-simplify]: Simplify 1 into 1 13.758 * [backup-simplify]: Simplify (* 1 1) into 1 13.759 * [backup-simplify]: Simplify (* 1 1) into 1 13.759 * [backup-simplify]: Simplify (/ 1 1) into 1 13.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.768 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.769 * [backup-simplify]: Simplify (- 0) into 0 13.769 * [backup-simplify]: Simplify 0 into 0 13.769 * [backup-simplify]: Simplify -1 into -1 13.769 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 13.769 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 13.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 13.769 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.769 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.769 * [taylor]: Taking taylor expansion of f in n 13.769 * [backup-simplify]: Simplify f into f 13.769 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.769 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.769 * [taylor]: Taking taylor expansion of n in n 13.769 * [backup-simplify]: Simplify 0 into 0 13.770 * [backup-simplify]: Simplify 1 into 1 13.770 * [backup-simplify]: Simplify (/ 1 1) into 1 13.770 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 13.770 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.770 * [taylor]: Taking taylor expansion of n in n 13.770 * [backup-simplify]: Simplify 0 into 0 13.770 * [backup-simplify]: Simplify 1 into 1 13.770 * [backup-simplify]: Simplify (/ 1 1) into 1 13.770 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.770 * [taylor]: Taking taylor expansion of f in n 13.770 * [backup-simplify]: Simplify f into f 13.771 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.771 * [backup-simplify]: Simplify (+ 0 1) into 1 13.771 * [backup-simplify]: Simplify (+ 1 0) into 1 13.772 * [backup-simplify]: Simplify (/ 1 1) into 1 13.772 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 13.772 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.772 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.772 * [taylor]: Taking taylor expansion of f in f 13.772 * [backup-simplify]: Simplify 0 into 0 13.772 * [backup-simplify]: Simplify 1 into 1 13.772 * [backup-simplify]: Simplify (/ 1 1) into 1 13.772 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.772 * [taylor]: Taking taylor expansion of n in f 13.772 * [backup-simplify]: Simplify n into n 13.772 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.772 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.772 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.772 * [taylor]: Taking taylor expansion of n in f 13.773 * [backup-simplify]: Simplify n into n 13.773 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.773 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.773 * [taylor]: Taking taylor expansion of f in f 13.773 * [backup-simplify]: Simplify 0 into 0 13.773 * [backup-simplify]: Simplify 1 into 1 13.773 * [backup-simplify]: Simplify (/ 1 1) into 1 13.773 * [backup-simplify]: Simplify (+ 1 0) into 1 13.774 * [backup-simplify]: Simplify (- 1) into -1 13.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.775 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.775 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 13.775 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.775 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.775 * [taylor]: Taking taylor expansion of f in f 13.775 * [backup-simplify]: Simplify 0 into 0 13.775 * [backup-simplify]: Simplify 1 into 1 13.775 * [backup-simplify]: Simplify (/ 1 1) into 1 13.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.775 * [taylor]: Taking taylor expansion of n in f 13.775 * [backup-simplify]: Simplify n into n 13.775 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.775 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 13.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.775 * [taylor]: Taking taylor expansion of n in f 13.775 * [backup-simplify]: Simplify n into n 13.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.776 * [taylor]: Taking taylor expansion of f in f 13.776 * [backup-simplify]: Simplify 0 into 0 13.776 * [backup-simplify]: Simplify 1 into 1 13.776 * [backup-simplify]: Simplify (/ 1 1) into 1 13.776 * [backup-simplify]: Simplify (+ 1 0) into 1 13.777 * [backup-simplify]: Simplify (- 1) into -1 13.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.778 * [backup-simplify]: Simplify (/ 1 -1) into -1 13.778 * [taylor]: Taking taylor expansion of -1 in n 13.778 * [backup-simplify]: Simplify -1 into -1 13.778 * [backup-simplify]: Simplify -1 into -1 13.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.779 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.780 * [backup-simplify]: Simplify (- 0) into 0 13.780 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 13.780 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 13.780 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.780 * [taylor]: Taking taylor expansion of 2 in n 13.780 * [backup-simplify]: Simplify 2 into 2 13.780 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.780 * [taylor]: Taking taylor expansion of n in n 13.780 * [backup-simplify]: Simplify 0 into 0 13.780 * [backup-simplify]: Simplify 1 into 1 13.781 * [backup-simplify]: Simplify (/ 1 1) into 1 13.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.782 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.782 * [backup-simplify]: Simplify (- 0) into 0 13.782 * [backup-simplify]: Simplify 0 into 0 13.783 * [backup-simplify]: Simplify 0 into 0 13.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.784 * [backup-simplify]: Simplify (+ 0 0) into 0 13.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.785 * [backup-simplify]: Simplify (- 0) into 0 13.786 * [backup-simplify]: Simplify (+ 0 0) into 0 13.787 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 13.787 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 13.787 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 13.787 * [taylor]: Taking taylor expansion of 2 in n 13.787 * [backup-simplify]: Simplify 2 into 2 13.787 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.787 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.787 * [taylor]: Taking taylor expansion of n in n 13.787 * [backup-simplify]: Simplify 0 into 0 13.787 * [backup-simplify]: Simplify 1 into 1 13.787 * [backup-simplify]: Simplify (* 1 1) into 1 13.788 * [backup-simplify]: Simplify (/ 1 1) into 1 13.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.792 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.792 * [backup-simplify]: Simplify (- 0) into 0 13.792 * [backup-simplify]: Simplify 0 into 0 13.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.795 * [backup-simplify]: Simplify (- 0) into 0 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify 0 into 0 13.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.796 * [backup-simplify]: Simplify (+ 0 0) into 0 13.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.797 * [backup-simplify]: Simplify (- 0) into 0 13.797 * [backup-simplify]: Simplify (+ 0 0) into 0 13.798 * [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)))) 13.798 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.798 * [taylor]: Taking taylor expansion of 2 in n 13.798 * [backup-simplify]: Simplify 2 into 2 13.798 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.798 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.798 * [taylor]: Taking taylor expansion of n in n 13.798 * [backup-simplify]: Simplify 0 into 0 13.798 * [backup-simplify]: Simplify 1 into 1 13.799 * [backup-simplify]: Simplify (* 1 1) into 1 13.799 * [backup-simplify]: Simplify (* 1 1) into 1 13.799 * [backup-simplify]: Simplify (/ 1 1) into 1 13.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.804 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.805 * [backup-simplify]: Simplify (- 0) into 0 13.805 * [backup-simplify]: Simplify 0 into 0 13.805 * [backup-simplify]: Simplify -1 into -1 13.805 * * * [progress]: simplifying candidates 13.820 * [simplify]: Simplifying: (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (+ 1 1) (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n)))) (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* 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1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 13.830 * * [simplify]: iteration 0: 307 enodes 13.977 * * [simplify]: iteration 1: 1194 enodes 14.769 * * [simplify]: iteration 2: 4674 enodes 16.017 * * [simplify]: iteration complete: 5001 enodes 16.018 * * [simplify]: Extracting #0: cost 200 inf + 0 16.023 * * [simplify]: Extracting #1: cost 1361 inf + 4 16.030 * * [simplify]: Extracting #2: cost 1796 inf + 1466 16.042 * * [simplify]: Extracting #3: cost 1518 inf + 56442 16.132 * * [simplify]: Extracting #4: cost 607 inf + 321116 16.255 * * [simplify]: Extracting #5: cost 57 inf + 503016 16.418 * * [simplify]: Extracting #6: cost 0 inf + 520394 16.566 * * [simplify]: Extracting #7: cost 0 inf + 520154 16.690 * [simplify]: Simplified to: 2 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 2 (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (exp (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ 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n)))) (/ (- (+ n f)) (- (* f f) (* n n))) (* (- f n) (+ (* (- n f) n) (* f f))) (* (- f n) (- f n)) 1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 16.811 * * * [progress]: adding candidates to table 19.596 * [progress]: [Phase 3 of 3] Extracting. 19.596 * * [regime]: Finding splitpoints for: (# # #) 19.597 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 19.598 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 19.630 * * * * [regimes]: Trying to branch on n from (# # #) 19.663 * * * * [regimes]: Trying to branch on f from (# # #) 19.699 * * * [regime]: Found split indices: #