0.504 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.070 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: Extracting # 1 : cost 0 0.072 * * [simplify]: Extracting # 2 : cost 0 0.072 * * [simplify]: Extracting # 3 : cost 0 0.072 * * [simplify]: Extracting # 4 : cost 0 0.072 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.087 * * [simplify]: Extracting # 1 : cost 0 0.087 * * [simplify]: Extracting # 2 : cost 0 0.088 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.102 * * [simplify]: Extracting # 0 : cost 0 0.102 * * [simplify]: Extracting # 1 : cost 0 0.102 * * [simplify]: Extracting # 2 : cost 0 0.102 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.119 * * [simplify]: Extracting # 0 : cost 0 0.119 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.120 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.121 * * [progress]: iteration 1 / 4 0.122 * * * [progress]: picking best candidate 0.153 * * * * [pick]: Picked # 0.153 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.220 * * * [progress]: generating series expansions 0.220 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.225 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.225 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.226 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.226 * [taylor]: Taking taylor expansion of -1 in n 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.226 * [taylor]: Taking taylor expansion of (+ n f) in n 0.226 * [taylor]: Taking taylor expansion of n in n 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of f in n 0.226 * [backup-simplify]: Simplify f into f 0.226 * [taylor]: Taking taylor expansion of (- f n) in n 0.226 * [taylor]: Taking taylor expansion of f in n 0.226 * [backup-simplify]: Simplify f into f 0.226 * [taylor]: Taking taylor expansion of n in n 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ 0 f) into f 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ f 0) into f 0.227 * [backup-simplify]: Simplify (/ f f) into 1 0.227 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.227 * [taylor]: Taking taylor expansion of -1 in f 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.227 * [taylor]: Taking taylor expansion of (+ n f) in f 0.227 * [taylor]: Taking taylor expansion of n in f 0.227 * [backup-simplify]: Simplify n into n 0.227 * [taylor]: Taking taylor expansion of f in f 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (- f n) in f 0.227 * [taylor]: Taking taylor expansion of f in f 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of n in f 0.227 * [backup-simplify]: Simplify n into n 0.227 * [backup-simplify]: Simplify (+ n 0) into n 0.227 * [backup-simplify]: Simplify (- n) into (- n) 0.227 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.228 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.228 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.228 * [taylor]: Taking taylor expansion of -1 in f 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.228 * [taylor]: Taking taylor expansion of (+ n f) in f 0.228 * [taylor]: Taking taylor expansion of n in f 0.228 * [backup-simplify]: Simplify n into n 0.228 * [taylor]: Taking taylor expansion of f in f 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (- f n) in f 0.228 * [taylor]: Taking taylor expansion of f in f 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of n in f 0.228 * [backup-simplify]: Simplify n into n 0.228 * [backup-simplify]: Simplify (+ n 0) into n 0.228 * [backup-simplify]: Simplify (- n) into (- n) 0.228 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.228 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.229 * [backup-simplify]: Simplify (* -1 -1) into 1 0.229 * [taylor]: Taking taylor expansion of 1 in n 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 0 1) into 1 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.231 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.231 * [taylor]: Taking taylor expansion of 2 in n 0.231 * [backup-simplify]: Simplify 2 into 2 0.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.231 * [taylor]: Taking taylor expansion of n in n 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.234 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.234 * [taylor]: Taking taylor expansion of 2 in n 0.234 * [backup-simplify]: Simplify 2 into 2 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.234 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.234 * [taylor]: Taking taylor expansion of n in n 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [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)))) 0.250 * [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))) 0.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.250 * [taylor]: Taking taylor expansion of 2 in n 0.250 * [backup-simplify]: Simplify 2 into 2 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.250 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.250 * [taylor]: Taking taylor expansion of n in n 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.261 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.261 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.261 * [taylor]: Taking taylor expansion of -1 in n 0.262 * [backup-simplify]: Simplify -1 into -1 0.262 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.262 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.262 * [taylor]: Taking taylor expansion of f in n 0.262 * [backup-simplify]: Simplify f into f 0.262 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.262 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.262 * [taylor]: Taking taylor expansion of n in n 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.263 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.263 * [taylor]: Taking taylor expansion of f in n 0.263 * [backup-simplify]: Simplify f into f 0.263 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.263 * [taylor]: Taking taylor expansion of n in n 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (+ 0 1) into 1 0.264 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.265 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.265 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.265 * [taylor]: Taking taylor expansion of -1 in f 0.265 * [backup-simplify]: Simplify -1 into -1 0.265 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.265 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.265 * [taylor]: Taking taylor expansion of f in f 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.266 * [taylor]: Taking taylor expansion of n in f 0.266 * [backup-simplify]: Simplify n into n 0.266 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.266 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.266 * [taylor]: Taking taylor expansion of f in f 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.266 * [taylor]: Taking taylor expansion of n in f 0.266 * [backup-simplify]: Simplify n into n 0.266 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.268 * [taylor]: Taking taylor expansion of -1 in f 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.268 * [taylor]: Taking taylor expansion of f in f 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.268 * [taylor]: Taking taylor expansion of n in f 0.268 * [backup-simplify]: Simplify n into n 0.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.269 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.269 * [taylor]: Taking taylor expansion of f in f 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.269 * [taylor]: Taking taylor expansion of n in f 0.269 * [backup-simplify]: Simplify n into n 0.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (* -1 1) into -1 0.271 * [taylor]: Taking taylor expansion of -1 in n 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [backup-simplify]: Simplify -1 into -1 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.273 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.273 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.274 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.274 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.274 * [taylor]: Taking taylor expansion of 2 in n 0.274 * [backup-simplify]: Simplify 2 into 2 0.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.282 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.282 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.282 * [taylor]: Taking taylor expansion of 2 in n 0.282 * [backup-simplify]: Simplify 2 into 2 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.282 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [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))) 0.296 * [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)))) 0.296 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.296 * [taylor]: Taking taylor expansion of 2 in n 0.296 * [backup-simplify]: Simplify 2 into 2 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.296 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.296 * [taylor]: Taking taylor expansion of n in n 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify -1 into -1 0.306 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.306 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.306 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.306 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.306 * [taylor]: Taking taylor expansion of f in n 0.306 * [backup-simplify]: Simplify f into f 0.306 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.306 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.307 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.307 * [taylor]: Taking taylor expansion of f in n 0.307 * [backup-simplify]: Simplify f into f 0.307 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.309 * [taylor]: Taking taylor expansion of f in f 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.309 * [taylor]: Taking taylor expansion of n in f 0.309 * [backup-simplify]: Simplify n into n 0.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.309 * [taylor]: Taking taylor expansion of n in f 0.309 * [backup-simplify]: Simplify n into n 0.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.310 * [taylor]: Taking taylor expansion of f in f 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.311 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.312 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.312 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.312 * [backup-simplify]: Simplify n into n 0.312 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.312 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.312 * [backup-simplify]: Simplify n into n 0.312 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.312 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (- 1) into -1 0.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.314 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.315 * [taylor]: Taking taylor expansion of -1 in n 0.315 * [backup-simplify]: Simplify -1 into -1 0.315 * [backup-simplify]: Simplify -1 into -1 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.317 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.317 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.317 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.317 * [taylor]: Taking taylor expansion of 2 in n 0.317 * [backup-simplify]: Simplify 2 into 2 0.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.317 * [taylor]: Taking taylor expansion of n in n 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.324 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.324 * [taylor]: Taking taylor expansion of 2 in n 0.324 * [backup-simplify]: Simplify 2 into 2 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.324 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [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)))) 0.336 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.337 * [taylor]: Taking taylor expansion of 2 in n 0.337 * [backup-simplify]: Simplify 2 into 2 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.337 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify -1 into -1 0.347 * * * [progress]: simplifying candidates 0.350 * [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 0.354 * * [simplify]: Extracting # 0 : cost 0 0.354 * * [simplify]: Extracting # 1 : cost 0 0.354 * * [simplify]: Extracting # 2 : cost 0 0.355 * * [simplify]: Extracting # 3 : cost 0 0.355 * * [simplify]: Extracting # 4 : cost 0 0.355 * * [simplify]: Extracting # 5 : cost 0 0.356 * * [simplify]: Extracting # 6 : cost 0 0.356 * * [simplify]: Extracting # 7 : cost 0 0.356 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.408 * * [simplify]: Extracting # 0 : cost 0 0.408 * * [simplify]: Extracting # 1 : cost 0 0.408 * * [simplify]: Extracting # 2 : cost 0 0.409 * * [simplify]: Extracting # 3 : cost 0 0.409 * * [simplify]: Extracting # 4 : cost 0 0.409 * * [simplify]: iteration 1 : 287 enodes (cost 1378 ) 0.483 * * [simplify]: Extracting # 0 : cost 0 0.484 * * [simplify]: Extracting # 1 : cost 0 0.485 * * [simplify]: Extracting # 2 : cost 0 0.486 * * [simplify]: Extracting # 3 : cost 0 0.490 * * [simplify]: Extracting # 4 : cost 0 0.490 * * [simplify]: iteration 2 : 690 enodes (cost 1348 ) 0.825 * * [simplify]: Extracting # 0 : cost 0 0.829 * * [simplify]: Extracting # 1 : cost 0 0.832 * * [simplify]: Extracting # 2 : cost 0 0.835 * * [simplify]: Extracting # 3 : cost 0 0.839 * * [simplify]: iteration 3 : 1825 enodes (cost 1340 ) 2.688 * * [simplify]: Extracting # 0 : cost 0 2.695 * * [simplify]: Extracting # 1 : cost 0 2.703 * * [simplify]: Extracting # 2 : cost 0 2.707 * * [simplify]: Extracting # 3 : cost 0 2.711 * * [simplify]: iteration 4 : 4716 enodes (cost 1340 ) 4.268 * * [simplify]: Extracting # 0 : cost 0 4.272 * * [simplify]: Extracting # 1 : cost 0 4.277 * * [simplify]: Extracting # 2 : cost 0 4.293 * * [simplify]: iteration done: 5001 enodes (cost 1340 ) 4.294 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ 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 f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 4.295 * * * [progress]: adding candidates to table 4.531 * * [progress]: iteration 2 / 4 4.531 * * * [progress]: picking best candidate 4.547 * * * * [pick]: Picked # 4.547 * * * [progress]: localizing error 4.566 * * * [progress]: generating rewritten candidates 4.566 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.627 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 4.693 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.766 * * * [progress]: generating series expansions 4.766 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.767 * [backup-simplify]: Simplify (pow (/ (- (+ f n)) (- f n)) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 4.767 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 4.767 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 4.767 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.767 * [taylor]: Taking taylor expansion of -1 in n 4.767 * [backup-simplify]: Simplify -1 into -1 4.767 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.767 * [taylor]: Taking taylor expansion of (+ n f) in n 4.767 * [taylor]: Taking taylor expansion of n in n 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [taylor]: Taking taylor expansion of f in n 4.767 * [backup-simplify]: Simplify f into f 4.767 * [taylor]: Taking taylor expansion of (- f n) in n 4.767 * [taylor]: Taking taylor expansion of f in n 4.767 * [backup-simplify]: Simplify f into f 4.767 * [taylor]: Taking taylor expansion of n in n 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (+ 0 f) into f 4.767 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify (+ f 0) into f 4.768 * [backup-simplify]: Simplify (/ f f) into 1 4.768 * [backup-simplify]: Simplify (* -1 1) into -1 4.768 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 4.768 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.768 * [taylor]: Taking taylor expansion of -1 in f 4.768 * [backup-simplify]: Simplify -1 into -1 4.768 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.768 * [taylor]: Taking taylor expansion of (+ n f) in f 4.768 * [taylor]: Taking taylor expansion of n in f 4.768 * [backup-simplify]: Simplify n into n 4.768 * [taylor]: Taking taylor expansion of f in f 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of (- f n) in f 4.768 * [taylor]: Taking taylor expansion of f in f 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of n in f 4.768 * [backup-simplify]: Simplify n into n 4.768 * [backup-simplify]: Simplify (+ n 0) into n 4.768 * [backup-simplify]: Simplify (- n) into (- n) 4.768 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.768 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.769 * [backup-simplify]: Simplify (* -1 -1) into 1 4.769 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 4.769 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.769 * [taylor]: Taking taylor expansion of -1 in f 4.769 * [backup-simplify]: Simplify -1 into -1 4.769 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.769 * [taylor]: Taking taylor expansion of (+ n f) in f 4.769 * [taylor]: Taking taylor expansion of n in f 4.769 * [backup-simplify]: Simplify n into n 4.769 * [taylor]: Taking taylor expansion of f in f 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of (- f n) in f 4.769 * [taylor]: Taking taylor expansion of f in f 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of n in f 4.769 * [backup-simplify]: Simplify n into n 4.769 * [backup-simplify]: Simplify (+ n 0) into n 4.769 * [backup-simplify]: Simplify (- n) into (- n) 4.769 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.769 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.769 * [backup-simplify]: Simplify (* -1 -1) into 1 4.770 * [backup-simplify]: Simplify (* 1 1) into 1 4.770 * [backup-simplify]: Simplify (* 1 1) into 1 4.770 * [taylor]: Taking taylor expansion of 1 in n 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (+ 0 1) into 1 4.770 * [backup-simplify]: Simplify (- 0) into 0 4.771 * [backup-simplify]: Simplify (+ 1 0) into 1 4.771 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.771 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.771 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 4.771 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 4.771 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.771 * [taylor]: Taking taylor expansion of 6 in n 4.771 * [backup-simplify]: Simplify 6 into 6 4.771 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.771 * [taylor]: Taking taylor expansion of n in n 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.773 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.773 * [backup-simplify]: Simplify (- 0) into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.774 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.774 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 8 (/ 1 (pow n 2))) 4.775 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 18 (/ 1 (pow n 2))) 4.775 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.775 * [taylor]: Taking taylor expansion of 18 in n 4.775 * [backup-simplify]: Simplify 18 into 18 4.775 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.775 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.775 * [taylor]: Taking taylor expansion of n in n 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [backup-simplify]: Simplify (* 1 1) into 1 4.775 * [backup-simplify]: Simplify (/ 1 1) into 1 4.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.778 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.778 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify (+ 0 0) into 0 4.781 * [backup-simplify]: Simplify (- 0) into 0 4.781 * [backup-simplify]: Simplify (+ 0 0) into 0 4.782 * [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)))) 4.783 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.784 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 12 (/ 1 (pow n 3))) 4.785 * [backup-simplify]: Simplify (+ (* 1 (* 12 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 38 (/ 1 (pow n 3))) 4.785 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.785 * [taylor]: Taking taylor expansion of 38 in n 4.785 * [backup-simplify]: Simplify 38 into 38 4.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.785 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.785 * [taylor]: Taking taylor expansion of n in n 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.787 * [backup-simplify]: Simplify (/ 1 1) into 1 4.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.794 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 4.795 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 4.795 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 4.795 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.795 * [taylor]: Taking taylor expansion of -1 in n 4.795 * [backup-simplify]: Simplify -1 into -1 4.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.795 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.795 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.795 * [taylor]: Taking taylor expansion of f in n 4.795 * [backup-simplify]: Simplify f into f 4.795 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.795 * [taylor]: Taking taylor expansion of n in n 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.796 * [backup-simplify]: Simplify (/ 1 1) into 1 4.796 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.796 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.796 * [taylor]: Taking taylor expansion of f in n 4.796 * [backup-simplify]: Simplify f into f 4.796 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.796 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.796 * [taylor]: Taking taylor expansion of n in n 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [backup-simplify]: Simplify (/ 1 1) into 1 4.796 * [backup-simplify]: Simplify (+ 0 1) into 1 4.797 * [backup-simplify]: Simplify (- 1) into -1 4.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.797 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.797 * [backup-simplify]: Simplify (* -1 -1) into 1 4.797 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 4.797 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.797 * [taylor]: Taking taylor expansion of -1 in f 4.797 * [backup-simplify]: Simplify -1 into -1 4.797 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.797 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.797 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.797 * [taylor]: Taking taylor expansion of f in f 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (/ 1 1) into 1 4.798 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.798 * [taylor]: Taking taylor expansion of n in f 4.798 * [backup-simplify]: Simplify n into n 4.798 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.798 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.798 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.798 * [taylor]: Taking taylor expansion of f in f 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (/ 1 1) into 1 4.798 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.798 * [taylor]: Taking taylor expansion of n in f 4.798 * [backup-simplify]: Simplify n into n 4.798 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.798 * [backup-simplify]: Simplify (+ 1 0) into 1 4.799 * [backup-simplify]: Simplify (+ 1 0) into 1 4.799 * [backup-simplify]: Simplify (/ 1 1) into 1 4.799 * [backup-simplify]: Simplify (* -1 1) into -1 4.799 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 4.800 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.800 * [taylor]: Taking taylor expansion of -1 in f 4.800 * [backup-simplify]: Simplify -1 into -1 4.800 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.800 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.800 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.800 * [taylor]: Taking taylor expansion of f in f 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [backup-simplify]: Simplify (/ 1 1) into 1 4.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.800 * [taylor]: Taking taylor expansion of n in f 4.800 * [backup-simplify]: Simplify n into n 4.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.800 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.800 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.800 * [taylor]: Taking taylor expansion of f in f 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [backup-simplify]: Simplify (/ 1 1) into 1 4.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.800 * [taylor]: Taking taylor expansion of n in f 4.800 * [backup-simplify]: Simplify n into n 4.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.801 * [backup-simplify]: Simplify (+ 1 0) into 1 4.801 * [backup-simplify]: Simplify (+ 1 0) into 1 4.801 * [backup-simplify]: Simplify (/ 1 1) into 1 4.801 * [backup-simplify]: Simplify (* -1 1) into -1 4.802 * [backup-simplify]: Simplify (* -1 -1) into 1 4.802 * [backup-simplify]: Simplify (* -1 1) into -1 4.802 * [taylor]: Taking taylor expansion of -1 in n 4.802 * [backup-simplify]: Simplify -1 into -1 4.802 * [backup-simplify]: Simplify -1 into -1 4.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.803 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.803 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.804 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.804 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 4.804 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 4.804 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.804 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.804 * [taylor]: Taking taylor expansion of 6 in n 4.804 * [backup-simplify]: Simplify 6 into 6 4.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.804 * [taylor]: Taking taylor expansion of n in n 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (/ 1 1) into 1 4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.805 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.805 * [backup-simplify]: Simplify (- 0) into 0 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.806 * [backup-simplify]: Simplify (+ 0 0) into 0 4.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.807 * [backup-simplify]: Simplify (- 0) into 0 4.807 * [backup-simplify]: Simplify (+ 0 0) into 0 4.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.808 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.809 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 4.809 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 4.809 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.809 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.809 * [taylor]: Taking taylor expansion of 18 in n 4.809 * [backup-simplify]: Simplify 18 into 18 4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.809 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.809 * [taylor]: Taking taylor expansion of n in n 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (* 1 1) into 1 4.810 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.812 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.813 * [backup-simplify]: Simplify (- 0) into 0 4.813 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.814 * [backup-simplify]: Simplify (- 0) into 0 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.815 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.816 * [backup-simplify]: Simplify (- 0) into 0 4.816 * [backup-simplify]: Simplify (+ 0 0) into 0 4.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.818 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.819 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 4.819 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.819 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.819 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.819 * [taylor]: Taking taylor expansion of 38 in n 4.819 * [backup-simplify]: Simplify 38 into 38 4.819 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.819 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.819 * [taylor]: Taking taylor expansion of n in n 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.820 * [backup-simplify]: Simplify (/ 1 1) into 1 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (- 0) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify -1 into -1 4.826 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 4.826 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 4.826 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 4.826 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.826 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.826 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.826 * [taylor]: Taking taylor expansion of f in n 4.826 * [backup-simplify]: Simplify f into f 4.826 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.827 * [taylor]: Taking taylor expansion of n in n 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (/ 1 1) into 1 4.827 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.827 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.827 * [taylor]: Taking taylor expansion of n in n 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (/ 1 1) into 1 4.827 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.827 * [taylor]: Taking taylor expansion of f in n 4.827 * [backup-simplify]: Simplify f into f 4.828 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.828 * [backup-simplify]: Simplify (+ 0 1) into 1 4.828 * [backup-simplify]: Simplify (+ 1 0) into 1 4.829 * [backup-simplify]: Simplify (/ 1 1) into 1 4.829 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 4.829 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.829 * [taylor]: Taking taylor expansion of f in f 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (/ 1 1) into 1 4.829 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.829 * [taylor]: Taking taylor expansion of n in f 4.829 * [backup-simplify]: Simplify n into n 4.829 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.829 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.829 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.829 * [taylor]: Taking taylor expansion of n in f 4.829 * [backup-simplify]: Simplify n into n 4.829 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.830 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.830 * [taylor]: Taking taylor expansion of f in f 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 1 into 1 4.830 * [backup-simplify]: Simplify (/ 1 1) into 1 4.830 * [backup-simplify]: Simplify (+ 1 0) into 1 4.831 * [backup-simplify]: Simplify (- 1) into -1 4.831 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.831 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.831 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 4.831 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.831 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.832 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.832 * [taylor]: Taking taylor expansion of f in f 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (/ 1 1) into 1 4.832 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.832 * [taylor]: Taking taylor expansion of n in f 4.832 * [backup-simplify]: Simplify n into n 4.832 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.832 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.832 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.832 * [taylor]: Taking taylor expansion of n in f 4.832 * [backup-simplify]: Simplify n into n 4.832 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.832 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.832 * [taylor]: Taking taylor expansion of f in f 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [backup-simplify]: Simplify (+ 1 0) into 1 4.833 * [backup-simplify]: Simplify (- 1) into -1 4.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.834 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.835 * [backup-simplify]: Simplify (* -1 -1) into 1 4.835 * [backup-simplify]: Simplify (* -1 1) into -1 4.835 * [taylor]: Taking taylor expansion of -1 in n 4.835 * [backup-simplify]: Simplify -1 into -1 4.835 * [backup-simplify]: Simplify -1 into -1 4.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (- 0) into 0 4.837 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.837 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.837 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 4.838 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 4.838 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.838 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.838 * [taylor]: Taking taylor expansion of 6 in n 4.838 * [backup-simplify]: Simplify 6 into 6 4.838 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.838 * [taylor]: Taking taylor expansion of n in n 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.840 * [backup-simplify]: Simplify (- 0) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.841 * [backup-simplify]: Simplify (+ 0 0) into 0 4.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- 0) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.845 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 4.845 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 4.845 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.845 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.845 * [taylor]: Taking taylor expansion of 18 in n 4.845 * [backup-simplify]: Simplify 18 into 18 4.845 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.845 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.845 * [taylor]: Taking taylor expansion of n in n 4.845 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 1 into 1 4.846 * [backup-simplify]: Simplify (* 1 1) into 1 4.846 * [backup-simplify]: Simplify (/ 1 1) into 1 4.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.849 * [backup-simplify]: Simplify (- 0) into 0 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.850 * [backup-simplify]: Simplify (- 0) into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.852 * [backup-simplify]: Simplify (- 0) into 0 4.852 * [backup-simplify]: Simplify (+ 0 0) into 0 4.853 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.854 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 4.855 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.855 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.855 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.855 * [taylor]: Taking taylor expansion of 38 in n 4.855 * [backup-simplify]: Simplify 38 into 38 4.855 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.855 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.855 * [taylor]: Taking taylor expansion of n in n 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (* 1 1) into 1 4.855 * [backup-simplify]: Simplify (* 1 1) into 1 4.856 * [backup-simplify]: Simplify (/ 1 1) into 1 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (- 0) into 0 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify -1 into -1 4.868 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 4.868 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.868 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.868 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.868 * [taylor]: Taking taylor expansion of -1 in n 4.868 * [backup-simplify]: Simplify -1 into -1 4.868 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.868 * [taylor]: Taking taylor expansion of (+ n f) in n 4.868 * [taylor]: Taking taylor expansion of n in n 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [taylor]: Taking taylor expansion of f in n 4.868 * [backup-simplify]: Simplify f into f 4.868 * [taylor]: Taking taylor expansion of (- f n) in n 4.868 * [taylor]: Taking taylor expansion of f in n 4.868 * [backup-simplify]: Simplify f into f 4.868 * [taylor]: Taking taylor expansion of n in n 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (+ 0 f) into f 4.869 * [backup-simplify]: Simplify (- 0) into 0 4.869 * [backup-simplify]: Simplify (+ f 0) into f 4.869 * [backup-simplify]: Simplify (/ f f) into 1 4.869 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.869 * [taylor]: Taking taylor expansion of -1 in f 4.869 * [backup-simplify]: Simplify -1 into -1 4.869 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.869 * [taylor]: Taking taylor expansion of (+ n f) in f 4.869 * [taylor]: Taking taylor expansion of n in f 4.869 * [backup-simplify]: Simplify n into n 4.869 * [taylor]: Taking taylor expansion of f in f 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of (- f n) in f 4.869 * [taylor]: Taking taylor expansion of f in f 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of n in f 4.869 * [backup-simplify]: Simplify n into n 4.869 * [backup-simplify]: Simplify (+ n 0) into n 4.869 * [backup-simplify]: Simplify (- n) into (- n) 4.869 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.869 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.869 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.869 * [taylor]: Taking taylor expansion of -1 in f 4.869 * [backup-simplify]: Simplify -1 into -1 4.869 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.869 * [taylor]: Taking taylor expansion of (+ n f) in f 4.869 * [taylor]: Taking taylor expansion of n in f 4.869 * [backup-simplify]: Simplify n into n 4.869 * [taylor]: Taking taylor expansion of f in f 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of (- f n) in f 4.869 * [taylor]: Taking taylor expansion of f in f 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of n in f 4.869 * [backup-simplify]: Simplify n into n 4.869 * [backup-simplify]: Simplify (+ n 0) into n 4.869 * [backup-simplify]: Simplify (- n) into (- n) 4.869 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.870 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.870 * [backup-simplify]: Simplify (* -1 -1) into 1 4.870 * [taylor]: Taking taylor expansion of 1 in n 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (+ 0 1) into 1 4.870 * [backup-simplify]: Simplify (- 0) into 0 4.871 * [backup-simplify]: Simplify (+ 1 0) into 1 4.871 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.871 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.871 * [taylor]: Taking taylor expansion of 2 in n 4.871 * [backup-simplify]: Simplify 2 into 2 4.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.871 * [taylor]: Taking taylor expansion of n in n 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [backup-simplify]: Simplify (/ 1 1) into 1 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (- 0) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.874 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.874 * [taylor]: Taking taylor expansion of 2 in n 4.874 * [backup-simplify]: Simplify 2 into 2 4.874 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.874 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.874 * [taylor]: Taking taylor expansion of n in n 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 1 into 1 4.875 * [backup-simplify]: Simplify (* 1 1) into 1 4.875 * [backup-simplify]: Simplify (/ 1 1) into 1 4.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (+ 0 0) into 0 4.882 * [backup-simplify]: Simplify (- 0) into 0 4.882 * [backup-simplify]: Simplify (+ 0 0) into 0 4.883 * [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)))) 4.884 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.884 * [taylor]: Taking taylor expansion of 2 in n 4.884 * [backup-simplify]: Simplify 2 into 2 4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.884 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.884 * [taylor]: Taking taylor expansion of n in n 4.884 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.886 * [backup-simplify]: Simplify (/ 1 1) into 1 4.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.895 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.895 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.895 * [taylor]: Taking taylor expansion of -1 in n 4.895 * [backup-simplify]: Simplify -1 into -1 4.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.896 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.896 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.896 * [taylor]: Taking taylor expansion of f in n 4.896 * [backup-simplify]: Simplify f into f 4.896 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.896 * [taylor]: Taking taylor expansion of n in n 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.896 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.896 * [taylor]: Taking taylor expansion of f in n 4.896 * [backup-simplify]: Simplify f into f 4.896 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.897 * [taylor]: Taking taylor expansion of n in n 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [backup-simplify]: Simplify (+ 0 1) into 1 4.898 * [backup-simplify]: Simplify (- 1) into -1 4.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.899 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.899 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.899 * [taylor]: Taking taylor expansion of -1 in f 4.899 * [backup-simplify]: Simplify -1 into -1 4.899 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.899 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.899 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.899 * [taylor]: Taking taylor expansion of f in f 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.899 * [taylor]: Taking taylor expansion of n in f 4.899 * [backup-simplify]: Simplify n into n 4.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.899 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.899 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.900 * [taylor]: Taking taylor expansion of f in f 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [backup-simplify]: Simplify (/ 1 1) into 1 4.900 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.900 * [taylor]: Taking taylor expansion of n in f 4.900 * [backup-simplify]: Simplify n into n 4.900 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.901 * [backup-simplify]: Simplify (+ 1 0) into 1 4.901 * [backup-simplify]: Simplify (+ 1 0) into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.902 * [taylor]: Taking taylor expansion of -1 in f 4.902 * [backup-simplify]: Simplify -1 into -1 4.902 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.902 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.902 * [taylor]: Taking taylor expansion of f in f 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.902 * [taylor]: Taking taylor expansion of n in f 4.903 * [backup-simplify]: Simplify n into n 4.903 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.903 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.903 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.903 * [taylor]: Taking taylor expansion of f in f 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [backup-simplify]: Simplify (/ 1 1) into 1 4.903 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.903 * [taylor]: Taking taylor expansion of n in f 4.903 * [backup-simplify]: Simplify n into n 4.903 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.904 * [backup-simplify]: Simplify (+ 1 0) into 1 4.904 * [backup-simplify]: Simplify (+ 1 0) into 1 4.904 * [backup-simplify]: Simplify (/ 1 1) into 1 4.905 * [backup-simplify]: Simplify (* -1 1) into -1 4.905 * [taylor]: Taking taylor expansion of -1 in n 4.905 * [backup-simplify]: Simplify -1 into -1 4.905 * [backup-simplify]: Simplify -1 into -1 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.907 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.907 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.908 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.908 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.908 * [taylor]: Taking taylor expansion of 2 in n 4.908 * [backup-simplify]: Simplify 2 into 2 4.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.908 * [taylor]: Taking taylor expansion of n in n 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.910 * [backup-simplify]: Simplify (- 0) into 0 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.912 * [backup-simplify]: Simplify (+ 0 0) into 0 4.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.913 * [backup-simplify]: Simplify (- 0) into 0 4.913 * [backup-simplify]: Simplify (+ 0 0) into 0 4.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.915 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.915 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.915 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.915 * [taylor]: Taking taylor expansion of 2 in n 4.916 * [backup-simplify]: Simplify 2 into 2 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.916 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.916 * [taylor]: Taking taylor expansion of n in n 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (* 1 1) into 1 4.916 * [backup-simplify]: Simplify (/ 1 1) into 1 4.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.921 * [backup-simplify]: Simplify (- 0) into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.923 * [backup-simplify]: Simplify (- 0) into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.925 * [backup-simplify]: Simplify (+ 0 0) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.926 * [backup-simplify]: Simplify (- 0) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.929 * [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)))) 4.929 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.929 * [taylor]: Taking taylor expansion of 2 in n 4.929 * [backup-simplify]: Simplify 2 into 2 4.929 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.930 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.930 * [taylor]: Taking taylor expansion of n in n 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (- 0) into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify -1 into -1 4.940 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.940 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.941 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.941 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.941 * [taylor]: Taking taylor expansion of f in n 4.941 * [backup-simplify]: Simplify f into f 4.941 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.941 * [taylor]: Taking taylor expansion of n in n 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (/ 1 1) into 1 4.941 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.941 * [taylor]: Taking taylor expansion of n in n 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.942 * [taylor]: Taking taylor expansion of f in n 4.942 * [backup-simplify]: Simplify f into f 4.942 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.942 * [backup-simplify]: Simplify (+ 0 1) into 1 4.943 * [backup-simplify]: Simplify (+ 1 0) into 1 4.943 * [backup-simplify]: Simplify (/ 1 1) into 1 4.943 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.943 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.943 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.943 * [taylor]: Taking taylor expansion of f in f 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 1 into 1 4.944 * [backup-simplify]: Simplify (/ 1 1) into 1 4.944 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.944 * [taylor]: Taking taylor expansion of n in f 4.944 * [backup-simplify]: Simplify n into n 4.944 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.944 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.944 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.944 * [taylor]: Taking taylor expansion of n in f 4.944 * [backup-simplify]: Simplify n into n 4.944 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.944 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.944 * [taylor]: Taking taylor expansion of f in f 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 1 into 1 4.945 * [backup-simplify]: Simplify (/ 1 1) into 1 4.945 * [backup-simplify]: Simplify (+ 1 0) into 1 4.945 * [backup-simplify]: Simplify (- 1) into -1 4.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.946 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.946 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.946 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.946 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.946 * [taylor]: Taking taylor expansion of f in f 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.947 * [backup-simplify]: Simplify (/ 1 1) into 1 4.947 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.947 * [taylor]: Taking taylor expansion of n in f 4.947 * [backup-simplify]: Simplify n into n 4.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.947 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.947 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.947 * [taylor]: Taking taylor expansion of n in f 4.947 * [backup-simplify]: Simplify n into n 4.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.947 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.947 * [taylor]: Taking taylor expansion of f in f 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (/ 1 1) into 1 4.948 * [backup-simplify]: Simplify (+ 1 0) into 1 4.948 * [backup-simplify]: Simplify (- 1) into -1 4.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.949 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.949 * [taylor]: Taking taylor expansion of -1 in n 4.949 * [backup-simplify]: Simplify -1 into -1 4.949 * [backup-simplify]: Simplify -1 into -1 4.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (- 0) into 0 4.951 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.952 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.952 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.952 * [taylor]: Taking taylor expansion of 2 in n 4.952 * [backup-simplify]: Simplify 2 into 2 4.952 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.952 * [taylor]: Taking taylor expansion of n in n 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify (/ 1 1) into 1 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.954 * [backup-simplify]: Simplify (- 0) into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.956 * [backup-simplify]: Simplify (+ 0 0) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.957 * [backup-simplify]: Simplify (- 0) into 0 4.957 * [backup-simplify]: Simplify (+ 0 0) into 0 4.959 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.959 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.959 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.959 * [taylor]: Taking taylor expansion of 2 in n 4.959 * [backup-simplify]: Simplify 2 into 2 4.959 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.959 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.959 * [taylor]: Taking taylor expansion of n in n 4.959 * [backup-simplify]: Simplify 0 into 0 4.959 * [backup-simplify]: Simplify 1 into 1 4.959 * [backup-simplify]: Simplify (* 1 1) into 1 4.960 * [backup-simplify]: Simplify (/ 1 1) into 1 4.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.964 * [backup-simplify]: Simplify (- 0) into 0 4.964 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.967 * [backup-simplify]: Simplify (- 0) into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.968 * [backup-simplify]: Simplify (+ 0 0) into 0 4.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.970 * [backup-simplify]: Simplify (- 0) into 0 4.970 * [backup-simplify]: Simplify (+ 0 0) into 0 4.972 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.972 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.972 * [taylor]: Taking taylor expansion of 2 in n 4.972 * [backup-simplify]: Simplify 2 into 2 4.972 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.972 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.972 * [taylor]: Taking taylor expansion of n in n 4.972 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [backup-simplify]: Simplify (* 1 1) into 1 4.973 * [backup-simplify]: Simplify (* 1 1) into 1 4.974 * [backup-simplify]: Simplify (/ 1 1) into 1 4.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (- 0) into 0 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify -1 into -1 4.983 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.985 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 4.985 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 4.985 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 4.985 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 4.985 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.985 * [taylor]: Taking taylor expansion of -1 in n 4.985 * [backup-simplify]: Simplify -1 into -1 4.986 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.986 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.986 * [taylor]: Taking taylor expansion of (+ n f) in n 4.987 * [taylor]: Taking taylor expansion of n in n 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 1 into 1 4.987 * [taylor]: Taking taylor expansion of f in n 4.987 * [backup-simplify]: Simplify f into f 4.987 * [taylor]: Taking taylor expansion of (- f n) in n 4.987 * [taylor]: Taking taylor expansion of f in n 4.987 * [backup-simplify]: Simplify f into f 4.987 * [taylor]: Taking taylor expansion of n in n 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (+ 0 f) into f 4.987 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 4.988 * [backup-simplify]: Simplify (- 0) into 0 4.988 * [backup-simplify]: Simplify (+ f 0) into f 4.988 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 4.988 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 4.989 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 4.989 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.989 * [taylor]: Taking taylor expansion of -1 in f 4.989 * [backup-simplify]: Simplify -1 into -1 4.989 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.990 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.990 * [taylor]: Taking taylor expansion of (+ n f) in f 4.990 * [taylor]: Taking taylor expansion of n in f 4.990 * [backup-simplify]: Simplify n into n 4.990 * [taylor]: Taking taylor expansion of f in f 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [taylor]: Taking taylor expansion of (- f n) in f 4.990 * [taylor]: Taking taylor expansion of f in f 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [taylor]: Taking taylor expansion of n in f 4.990 * [backup-simplify]: Simplify n into n 4.990 * [backup-simplify]: Simplify (+ n 0) into n 4.991 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 4.991 * [backup-simplify]: Simplify (- n) into (- n) 4.991 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.992 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 4.992 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 4.992 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 4.992 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.992 * [taylor]: Taking taylor expansion of -1 in f 4.992 * [backup-simplify]: Simplify -1 into -1 4.992 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.993 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.993 * [taylor]: Taking taylor expansion of (+ n f) in f 4.993 * [taylor]: Taking taylor expansion of n in f 4.993 * [backup-simplify]: Simplify n into n 4.993 * [taylor]: Taking taylor expansion of f in f 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [taylor]: Taking taylor expansion of (- f n) in f 4.993 * [taylor]: Taking taylor expansion of f in f 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [taylor]: Taking taylor expansion of n in f 4.993 * [backup-simplify]: Simplify n into n 4.993 * [backup-simplify]: Simplify (+ n 0) into n 4.994 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 4.994 * [backup-simplify]: Simplify (- n) into (- n) 4.994 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.995 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 4.995 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 4.995 * [taylor]: Taking taylor expansion of -1 in n 4.995 * [backup-simplify]: Simplify -1 into -1 4.995 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.995 * [taylor]: Taking taylor expansion of -1 in n 4.995 * [backup-simplify]: Simplify -1 into -1 4.995 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.996 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.997 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.998 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.998 * [backup-simplify]: Simplify (+ 0 1) into 1 4.999 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 4.999 * [backup-simplify]: Simplify (- 0) into 0 5.000 * [backup-simplify]: Simplify (+ 1 0) into 1 5.001 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 5.001 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 5.001 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 5.001 * [taylor]: Taking taylor expansion of 2 in n 5.001 * [backup-simplify]: Simplify 2 into 2 5.001 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 5.001 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.001 * [taylor]: Taking taylor expansion of -1 in n 5.001 * [backup-simplify]: Simplify -1 into -1 5.002 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.002 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.003 * [taylor]: Taking taylor expansion of n in n 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.012 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 5.012 * [backup-simplify]: Simplify (- 0) into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 5.013 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.016 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 5.017 * [backup-simplify]: Simplify (- 0) into 0 5.017 * [backup-simplify]: Simplify (+ 0 0) into 0 5.019 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 5.019 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 5.019 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 5.019 * [taylor]: Taking taylor expansion of 2 in n 5.019 * [backup-simplify]: Simplify 2 into 2 5.019 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 5.019 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.019 * [taylor]: Taking taylor expansion of -1 in n 5.019 * [backup-simplify]: Simplify -1 into -1 5.020 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.020 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.020 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.020 * [taylor]: Taking taylor expansion of n in n 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (* 1 1) into 1 5.022 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.028 * [backup-simplify]: Simplify (- 0) into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.032 * [backup-simplify]: Simplify (- 0) into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify (+ 0 0) into 0 5.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.037 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 5.037 * [backup-simplify]: Simplify (- 0) into 0 5.037 * [backup-simplify]: Simplify (+ 0 0) into 0 5.040 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 5.040 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 5.040 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 5.040 * [taylor]: Taking taylor expansion of 2 in n 5.040 * [backup-simplify]: Simplify 2 into 2 5.040 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 5.040 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.040 * [taylor]: Taking taylor expansion of -1 in n 5.040 * [backup-simplify]: Simplify -1 into -1 5.041 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.041 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.041 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.041 * [taylor]: Taking taylor expansion of n in n 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (* 1 1) into 1 5.042 * [backup-simplify]: Simplify (* 1 1) into 1 5.043 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.055 * [backup-simplify]: Simplify (- 0) into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 5.056 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 5.056 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 5.056 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 5.056 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 5.056 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.056 * [taylor]: Taking taylor expansion of -1 in n 5.056 * [backup-simplify]: Simplify -1 into -1 5.057 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.058 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.058 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.058 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.058 * [taylor]: Taking taylor expansion of f in n 5.058 * [backup-simplify]: Simplify f into f 5.058 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.058 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.058 * [taylor]: Taking taylor expansion of n in n 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (/ 1 1) into 1 5.058 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.058 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.058 * [taylor]: Taking taylor expansion of f in n 5.058 * [backup-simplify]: Simplify f into f 5.058 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.058 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.058 * [taylor]: Taking taylor expansion of n in n 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (/ 1 1) into 1 5.059 * [backup-simplify]: Simplify (+ 0 1) into 1 5.060 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 5.061 * [backup-simplify]: Simplify (- 1) into -1 5.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.062 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 5.062 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 5.062 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 5.062 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.062 * [taylor]: Taking taylor expansion of -1 in f 5.062 * [backup-simplify]: Simplify -1 into -1 5.063 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.063 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.064 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.064 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.064 * [taylor]: Taking taylor expansion of f in f 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 1 into 1 5.064 * [backup-simplify]: Simplify (/ 1 1) into 1 5.064 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.064 * [taylor]: Taking taylor expansion of n in f 5.064 * [backup-simplify]: Simplify n into n 5.064 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.064 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.064 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.064 * [taylor]: Taking taylor expansion of f in f 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (/ 1 1) into 1 5.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.065 * [taylor]: Taking taylor expansion of n in f 5.065 * [backup-simplify]: Simplify n into n 5.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.065 * [backup-simplify]: Simplify (+ 1 0) into 1 5.066 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 5.067 * [backup-simplify]: Simplify (+ 1 0) into 1 5.068 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.068 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 5.068 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 5.068 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.068 * [taylor]: Taking taylor expansion of -1 in f 5.068 * [backup-simplify]: Simplify -1 into -1 5.068 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.069 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.069 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.069 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.069 * [taylor]: Taking taylor expansion of f in f 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.070 * [taylor]: Taking taylor expansion of n in f 5.070 * [backup-simplify]: Simplify n into n 5.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.070 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.070 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.070 * [taylor]: Taking taylor expansion of f in f 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.070 * [taylor]: Taking taylor expansion of n in f 5.070 * [backup-simplify]: Simplify n into n 5.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.071 * [backup-simplify]: Simplify (+ 1 0) into 1 5.072 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 5.073 * [backup-simplify]: Simplify (+ 1 0) into 1 5.074 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.074 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.074 * [taylor]: Taking taylor expansion of -1 in n 5.074 * [backup-simplify]: Simplify -1 into -1 5.074 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.075 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.075 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.077 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.078 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.079 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 5.079 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 5.079 * [taylor]: Taking taylor expansion of 2 in n 5.079 * [backup-simplify]: Simplify 2 into 2 5.079 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 5.079 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.079 * [taylor]: Taking taylor expansion of -1 in n 5.079 * [backup-simplify]: Simplify -1 into -1 5.080 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.080 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.080 * [taylor]: Taking taylor expansion of n in n 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.081 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.087 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 5.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.088 * [backup-simplify]: Simplify (- 0) into 0 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 5.090 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 5.090 * [taylor]: Taking taylor expansion of 2 in n 5.090 * [backup-simplify]: Simplify 2 into 2 5.090 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 5.090 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.090 * [taylor]: Taking taylor expansion of -1 in n 5.090 * [backup-simplify]: Simplify -1 into -1 5.091 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.091 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.091 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.091 * [taylor]: Taking taylor expansion of n in n 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.092 * [backup-simplify]: Simplify (* 1 1) into 1 5.093 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.098 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.103 * [backup-simplify]: Simplify (+ 0 0) into 0 5.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.105 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.106 * [backup-simplify]: Simplify (- 0) into 0 5.106 * [backup-simplify]: Simplify (+ 0 0) into 0 5.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 5.108 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 5.108 * [taylor]: Taking taylor expansion of 2 in n 5.108 * [backup-simplify]: Simplify 2 into 2 5.108 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 5.108 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.108 * [taylor]: Taking taylor expansion of -1 in n 5.108 * [backup-simplify]: Simplify -1 into -1 5.109 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.109 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.109 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.109 * [taylor]: Taking taylor expansion of n in n 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (* 1 1) into 1 5.109 * [backup-simplify]: Simplify (* 1 1) into 1 5.110 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.118 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.118 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.118 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.118 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.118 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.118 * [taylor]: Taking taylor expansion of f in n 5.118 * [backup-simplify]: Simplify f into f 5.118 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.118 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.118 * [taylor]: Taking taylor expansion of n in n 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (/ 1 1) into 1 5.119 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.119 * [taylor]: Taking taylor expansion of n in n 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (/ 1 1) into 1 5.119 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.119 * [taylor]: Taking taylor expansion of f in n 5.119 * [backup-simplify]: Simplify f into f 5.119 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.119 * [backup-simplify]: Simplify (+ 0 1) into 1 5.120 * [backup-simplify]: Simplify (+ 1 0) into 1 5.120 * [backup-simplify]: Simplify (/ 1 1) into 1 5.120 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.120 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.120 * [taylor]: Taking taylor expansion of f in f 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.120 * [backup-simplify]: Simplify (/ 1 1) into 1 5.120 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.120 * [taylor]: Taking taylor expansion of n in f 5.120 * [backup-simplify]: Simplify n into n 5.120 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.120 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.120 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.120 * [taylor]: Taking taylor expansion of n in f 5.120 * [backup-simplify]: Simplify n into n 5.120 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.120 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.120 * [taylor]: Taking taylor expansion of f in f 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [backup-simplify]: Simplify (+ 1 0) into 1 5.121 * [backup-simplify]: Simplify (- 1) into -1 5.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.122 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.122 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.122 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.122 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.122 * [taylor]: Taking taylor expansion of f in f 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [backup-simplify]: Simplify (/ 1 1) into 1 5.122 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.122 * [taylor]: Taking taylor expansion of n in f 5.122 * [backup-simplify]: Simplify n into n 5.122 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.122 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.122 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.122 * [taylor]: Taking taylor expansion of n in f 5.122 * [backup-simplify]: Simplify n into n 5.122 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.122 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.122 * [taylor]: Taking taylor expansion of f in f 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (/ 1 1) into 1 5.123 * [backup-simplify]: Simplify (+ 1 0) into 1 5.123 * [backup-simplify]: Simplify (- 1) into -1 5.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.124 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.124 * [taylor]: Taking taylor expansion of -1 in n 5.124 * [backup-simplify]: Simplify -1 into -1 5.124 * [backup-simplify]: Simplify -1 into -1 5.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.124 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.125 * [backup-simplify]: Simplify (- 0) into 0 5.125 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.125 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.125 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.125 * [taylor]: Taking taylor expansion of 2 in n 5.125 * [backup-simplify]: Simplify 2 into 2 5.125 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.125 * [taylor]: Taking taylor expansion of n in n 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (/ 1 1) into 1 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.127 * [backup-simplify]: Simplify (- 0) into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.127 * [backup-simplify]: Simplify (+ 0 0) into 0 5.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.128 * [backup-simplify]: Simplify (- 0) into 0 5.128 * [backup-simplify]: Simplify (+ 0 0) into 0 5.129 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.129 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.129 * [taylor]: Taking taylor expansion of 2 in n 5.129 * [backup-simplify]: Simplify 2 into 2 5.129 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.129 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.129 * [taylor]: Taking taylor expansion of n in n 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify 1 into 1 5.130 * [backup-simplify]: Simplify (* 1 1) into 1 5.130 * [backup-simplify]: Simplify (/ 1 1) into 1 5.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.138 * [backup-simplify]: Simplify (- 0) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.139 * [backup-simplify]: Simplify (- 0) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.141 * [backup-simplify]: Simplify (- 0) into 0 5.141 * [backup-simplify]: Simplify (+ 0 0) into 0 5.142 * [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)))) 5.142 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.142 * [taylor]: Taking taylor expansion of 2 in n 5.142 * [backup-simplify]: Simplify 2 into 2 5.142 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.142 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.142 * [taylor]: Taking taylor expansion of n in n 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.143 * [backup-simplify]: Simplify (* 1 1) into 1 5.143 * [backup-simplify]: Simplify (* 1 1) into 1 5.143 * [backup-simplify]: Simplify (/ 1 1) into 1 5.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (- 0) into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify -1 into -1 5.148 * * * [progress]: simplifying candidates 5.156 * [simplify]: Simplifying: (* (- (log (- (+ f n))) (log (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* 1 3) (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (pow (/ (- (+ f n)) (- f n)) 1) (pow (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) 3) (pow (cbrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (cbrt (- (+ f n))) (cbrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) 3) (pow (/ (cbrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) 3) (pow (/ (cbrt (- 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(- (+ f n)) (- f n)) 3)) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (cbrt (pow (- (+ f n)) 3)) (cbrt (pow (- f n) 3)) (* (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (* (* (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 -1 -1 1 -1 -1 (* -1 (cbrt -1)) (cbrt -1) -1 5.166 * * [simplify]: Extracting # 0 : cost 0 5.166 * * [simplify]: Extracting # 1 : cost 0 5.166 * * [simplify]: Extracting # 2 : cost 0 5.167 * * [simplify]: Extracting # 3 : cost 0 5.167 * * [simplify]: Extracting # 4 : cost 0 5.168 * * [simplify]: Extracting # 5 : cost 0 5.168 * * [simplify]: Extracting # 6 : cost 0 5.168 * * [simplify]: Extracting # 7 : cost 0 5.169 * * [simplify]: iteration 0 : 318 enodes (cost 8107 ) 5.354 * * [simplify]: Extracting # 0 : cost 0 5.356 * * [simplify]: Extracting # 1 : cost 0 5.357 * * [simplify]: Extracting # 2 : cost 0 5.358 * * [simplify]: Extracting # 3 : cost 0 5.359 * * [simplify]: Extracting # 4 : cost 0 5.360 * * [simplify]: iteration 1 : 944 enodes (cost 6800 ) 5.867 * * [simplify]: Extracting # 0 : cost 0 5.873 * * [simplify]: Extracting # 1 : cost 0 5.880 * * [simplify]: Extracting # 2 : cost 0 5.886 * * [simplify]: Extracting # 3 : cost 0 5.892 * * [simplify]: Extracting # 4 : cost 0 5.899 * * [simplify]: iteration 2 : 2858 enodes (cost 6258 ) 7.026 * * [simplify]: Extracting # 0 : cost 0 7.051 * * [simplify]: Extracting # 1 : cost 0 7.065 * * [simplify]: Extracting # 2 : cost 0 7.078 * * [simplify]: Extracting # 3 : cost 0 7.090 * * [simplify]: Extracting # 4 : cost 0 7.102 * * [simplify]: iteration done: 5000 enodes (cost 6258 ) 7.105 * [simplify]: Simplified to: (log (pow (/ (- (+ f n)) (- f n)) 3)) (log (pow (/ (- (+ f n)) (- f n)) 3)) (log (pow (/ (- 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n)) (- f n)) 2)) (- (cbrt (/ (+ f n) (- f n)))) (/ (cbrt (* (+ f n) (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (+ f n) (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (cbrt (* (+ f n) (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (cbrt (* (+ f n) (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (cbrt (/ 1 (* (- f n) (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ f n)) (- f n)) (cbrt (/ 1 (* (- f n) (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (- (+ f n)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* n (+ f n)) (* f f)) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (- (cbrt (/ (+ f n) (- f n)))) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (+ f n)) (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (- (+ f n)) (- f n) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (- (cbrt (/ (+ f n) (- f n)))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 1 -1 -1 1 -1 -1 1 -1 -1 7.109 * * * [progress]: adding candidates to table 8.245 * * [progress]: iteration 3 / 4 8.245 * * * [progress]: picking best candidate 8.252 * * * * [pick]: Picked # 8.252 * * * [progress]: localizing error 8.262 * * * [progress]: generating rewritten candidates 8.262 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 8.319 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 8.401 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 8.513 * * * [progress]: generating series expansions 8.513 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 8.513 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 8.513 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.513 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.513 * [taylor]: Taking taylor expansion of -1 in n 8.513 * [backup-simplify]: Simplify -1 into -1 8.513 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.513 * [taylor]: Taking taylor expansion of (+ n f) in n 8.513 * [taylor]: Taking taylor expansion of n in n 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [taylor]: Taking taylor expansion of f in n 8.513 * [backup-simplify]: Simplify f into f 8.513 * [taylor]: Taking taylor expansion of (- f n) in n 8.513 * [taylor]: Taking taylor expansion of f in n 8.513 * [backup-simplify]: Simplify f into f 8.513 * [taylor]: Taking taylor expansion of n in n 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (+ 0 f) into f 8.514 * [backup-simplify]: Simplify (- 0) into 0 8.514 * [backup-simplify]: Simplify (+ f 0) into f 8.514 * [backup-simplify]: Simplify (/ f f) into 1 8.514 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.514 * [taylor]: Taking taylor expansion of -1 in f 8.514 * [backup-simplify]: Simplify -1 into -1 8.514 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.514 * [taylor]: Taking taylor expansion of (+ n f) in f 8.514 * [taylor]: Taking taylor expansion of n in f 8.514 * [backup-simplify]: Simplify n into n 8.514 * [taylor]: Taking taylor expansion of f in f 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [taylor]: Taking taylor expansion of (- f n) in f 8.514 * [taylor]: Taking taylor expansion of f in f 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [taylor]: Taking taylor expansion of n in f 8.514 * [backup-simplify]: Simplify n into n 8.514 * [backup-simplify]: Simplify (+ n 0) into n 8.514 * [backup-simplify]: Simplify (- n) into (- n) 8.514 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.514 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.514 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.514 * [taylor]: Taking taylor expansion of -1 in f 8.514 * [backup-simplify]: Simplify -1 into -1 8.514 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.514 * [taylor]: Taking taylor expansion of (+ n f) in f 8.514 * [taylor]: Taking taylor expansion of n in f 8.514 * [backup-simplify]: Simplify n into n 8.514 * [taylor]: Taking taylor expansion of f in f 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [taylor]: Taking taylor expansion of (- f n) in f 8.514 * [taylor]: Taking taylor expansion of f in f 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [taylor]: Taking taylor expansion of n in f 8.515 * [backup-simplify]: Simplify n into n 8.515 * [backup-simplify]: Simplify (+ n 0) into n 8.515 * [backup-simplify]: Simplify (- n) into (- n) 8.515 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.515 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.515 * [backup-simplify]: Simplify (* -1 -1) into 1 8.515 * [taylor]: Taking taylor expansion of 1 in n 8.515 * [backup-simplify]: Simplify 1 into 1 8.515 * [backup-simplify]: Simplify 1 into 1 8.515 * [backup-simplify]: Simplify (+ 0 1) into 1 8.516 * [backup-simplify]: Simplify (- 0) into 0 8.516 * [backup-simplify]: Simplify (+ 1 0) into 1 8.516 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.516 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.516 * [taylor]: Taking taylor expansion of 2 in n 8.516 * [backup-simplify]: Simplify 2 into 2 8.516 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.516 * [taylor]: Taking taylor expansion of n in n 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.517 * [backup-simplify]: Simplify (/ 1 1) into 1 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.518 * [backup-simplify]: Simplify (- 0) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.518 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.519 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.519 * [taylor]: Taking taylor expansion of 2 in n 8.519 * [backup-simplify]: Simplify 2 into 2 8.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.519 * [taylor]: Taking taylor expansion of n in n 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.519 * [backup-simplify]: Simplify (* 1 1) into 1 8.520 * [backup-simplify]: Simplify (/ 1 1) into 1 8.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.523 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify (+ 0 0) into 0 8.523 * [backup-simplify]: Simplify (- 0) into 0 8.524 * [backup-simplify]: Simplify (+ 0 0) into 0 8.524 * [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)))) 8.525 * [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))) 8.525 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.525 * [taylor]: Taking taylor expansion of 2 in n 8.525 * [backup-simplify]: Simplify 2 into 2 8.525 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.525 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.525 * [taylor]: Taking taylor expansion of n in n 8.525 * [backup-simplify]: Simplify 0 into 0 8.525 * [backup-simplify]: Simplify 1 into 1 8.525 * [backup-simplify]: Simplify (* 1 1) into 1 8.525 * [backup-simplify]: Simplify (* 1 1) into 1 8.526 * [backup-simplify]: Simplify (/ 1 1) into 1 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.531 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.531 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.531 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.531 * [taylor]: Taking taylor expansion of -1 in n 8.531 * [backup-simplify]: Simplify -1 into -1 8.531 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.531 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.531 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.531 * [taylor]: Taking taylor expansion of f in n 8.531 * [backup-simplify]: Simplify f into f 8.531 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.531 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.531 * [taylor]: Taking taylor expansion of n in n 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.531 * [backup-simplify]: Simplify (/ 1 1) into 1 8.531 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.531 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.531 * [taylor]: Taking taylor expansion of f in n 8.531 * [backup-simplify]: Simplify f into f 8.531 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.531 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.531 * [taylor]: Taking taylor expansion of n in n 8.531 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify 1 into 1 8.532 * [backup-simplify]: Simplify (/ 1 1) into 1 8.532 * [backup-simplify]: Simplify (+ 0 1) into 1 8.532 * [backup-simplify]: Simplify (- 1) into -1 8.532 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.533 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.533 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.533 * [taylor]: Taking taylor expansion of -1 in f 8.533 * [backup-simplify]: Simplify -1 into -1 8.533 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.533 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.533 * [taylor]: Taking taylor expansion of f in f 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [backup-simplify]: Simplify (/ 1 1) into 1 8.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.533 * [taylor]: Taking taylor expansion of n in f 8.533 * [backup-simplify]: Simplify n into n 8.533 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.533 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.533 * [taylor]: Taking taylor expansion of f in f 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 1 into 1 8.534 * [backup-simplify]: Simplify (/ 1 1) into 1 8.534 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.534 * [taylor]: Taking taylor expansion of n in f 8.534 * [backup-simplify]: Simplify n into n 8.534 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.534 * [backup-simplify]: Simplify (+ 1 0) into 1 8.534 * [backup-simplify]: Simplify (+ 1 0) into 1 8.534 * [backup-simplify]: Simplify (/ 1 1) into 1 8.534 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.534 * [taylor]: Taking taylor expansion of -1 in f 8.534 * [backup-simplify]: Simplify -1 into -1 8.534 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.534 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.534 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.535 * [taylor]: Taking taylor expansion of f in f 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [backup-simplify]: Simplify (/ 1 1) into 1 8.535 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.535 * [taylor]: Taking taylor expansion of n in f 8.535 * [backup-simplify]: Simplify n into n 8.535 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.535 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.535 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.535 * [taylor]: Taking taylor expansion of f in f 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [backup-simplify]: Simplify (/ 1 1) into 1 8.535 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.535 * [taylor]: Taking taylor expansion of n in f 8.535 * [backup-simplify]: Simplify n into n 8.535 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.536 * [backup-simplify]: Simplify (+ 1 0) into 1 8.536 * [backup-simplify]: Simplify (+ 1 0) into 1 8.536 * [backup-simplify]: Simplify (/ 1 1) into 1 8.536 * [backup-simplify]: Simplify (* -1 1) into -1 8.536 * [taylor]: Taking taylor expansion of -1 in n 8.536 * [backup-simplify]: Simplify -1 into -1 8.536 * [backup-simplify]: Simplify -1 into -1 8.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.537 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.537 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.537 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.538 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.538 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.538 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.538 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.538 * [taylor]: Taking taylor expansion of 2 in n 8.538 * [backup-simplify]: Simplify 2 into 2 8.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.538 * [taylor]: Taking taylor expansion of n in n 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (/ 1 1) into 1 8.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.539 * [backup-simplify]: Simplify (- 0) into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.540 * [backup-simplify]: Simplify (+ 0 0) into 0 8.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.541 * [backup-simplify]: Simplify (- 0) into 0 8.541 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.543 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.543 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.543 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.543 * [taylor]: Taking taylor expansion of 2 in n 8.543 * [backup-simplify]: Simplify 2 into 2 8.543 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.543 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.543 * [taylor]: Taking taylor expansion of n in n 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (* 1 1) into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.551 * [backup-simplify]: Simplify (- 0) into 0 8.551 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.553 * [backup-simplify]: Simplify (+ 0 0) into 0 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.554 * [backup-simplify]: Simplify (- 0) into 0 8.554 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [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))) 8.557 * [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)))) 8.557 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.557 * [taylor]: Taking taylor expansion of 2 in n 8.557 * [backup-simplify]: Simplify 2 into 2 8.557 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.557 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.557 * [taylor]: Taking taylor expansion of n in n 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.558 * [backup-simplify]: Simplify (* 1 1) into 1 8.559 * [backup-simplify]: Simplify (* 1 1) into 1 8.559 * [backup-simplify]: Simplify (/ 1 1) into 1 8.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (- 0) into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify -1 into -1 8.569 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.569 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.569 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.569 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.569 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.569 * [taylor]: Taking taylor expansion of f in n 8.569 * [backup-simplify]: Simplify f into f 8.569 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.569 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.569 * [taylor]: Taking taylor expansion of n in n 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (/ 1 1) into 1 8.570 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.570 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.570 * [taylor]: Taking taylor expansion of n in n 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (/ 1 1) into 1 8.570 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.570 * [taylor]: Taking taylor expansion of f in n 8.570 * [backup-simplify]: Simplify f into f 8.570 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.571 * [backup-simplify]: Simplify (+ 0 1) into 1 8.571 * [backup-simplify]: Simplify (+ 1 0) into 1 8.571 * [backup-simplify]: Simplify (/ 1 1) into 1 8.571 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.571 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.572 * [taylor]: Taking taylor expansion of f in f 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.572 * [backup-simplify]: Simplify (/ 1 1) into 1 8.572 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.572 * [taylor]: Taking taylor expansion of n in f 8.572 * [backup-simplify]: Simplify n into n 8.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.572 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.572 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.572 * [taylor]: Taking taylor expansion of n in f 8.572 * [backup-simplify]: Simplify n into n 8.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.572 * [taylor]: Taking taylor expansion of f in f 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ 1 1) into 1 8.573 * [backup-simplify]: Simplify (+ 1 0) into 1 8.574 * [backup-simplify]: Simplify (- 1) into -1 8.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.574 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.574 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.574 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.575 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.575 * [taylor]: Taking taylor expansion of f in f 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [backup-simplify]: Simplify (/ 1 1) into 1 8.575 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.575 * [taylor]: Taking taylor expansion of n in f 8.575 * [backup-simplify]: Simplify n into n 8.575 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.575 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.575 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.575 * [taylor]: Taking taylor expansion of n in f 8.575 * [backup-simplify]: Simplify n into n 8.575 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.575 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.575 * [taylor]: Taking taylor expansion of f in f 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.576 * [backup-simplify]: Simplify (/ 1 1) into 1 8.576 * [backup-simplify]: Simplify (+ 1 0) into 1 8.577 * [backup-simplify]: Simplify (- 1) into -1 8.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.577 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.577 * [taylor]: Taking taylor expansion of -1 in n 8.577 * [backup-simplify]: Simplify -1 into -1 8.578 * [backup-simplify]: Simplify -1 into -1 8.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.578 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.580 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.580 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.580 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.580 * [taylor]: Taking taylor expansion of 2 in n 8.580 * [backup-simplify]: Simplify 2 into 2 8.580 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.580 * [taylor]: Taking taylor expansion of n in n 8.580 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify 1 into 1 8.580 * [backup-simplify]: Simplify (/ 1 1) into 1 8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.582 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.582 * [backup-simplify]: Simplify (- 0) into 0 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.584 * [backup-simplify]: Simplify (+ 0 0) into 0 8.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (- 0) into 0 8.585 * [backup-simplify]: Simplify (+ 0 0) into 0 8.586 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.586 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.587 * [taylor]: Taking taylor expansion of 2 in n 8.587 * [backup-simplify]: Simplify 2 into 2 8.587 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.587 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.587 * [taylor]: Taking taylor expansion of n in n 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.587 * [backup-simplify]: Simplify (* 1 1) into 1 8.587 * [backup-simplify]: Simplify (/ 1 1) into 1 8.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.592 * [backup-simplify]: Simplify (- 0) into 0 8.592 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.594 * [backup-simplify]: Simplify (- 0) into 0 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.595 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.603 * [backup-simplify]: Simplify (- 0) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.606 * [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)))) 8.606 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.606 * [taylor]: Taking taylor expansion of 2 in n 8.606 * [backup-simplify]: Simplify 2 into 2 8.606 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.606 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.606 * [taylor]: Taking taylor expansion of n in n 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (* 1 1) into 1 8.607 * [backup-simplify]: Simplify (* 1 1) into 1 8.607 * [backup-simplify]: Simplify (/ 1 1) into 1 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.617 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.617 * [backup-simplify]: Simplify (- 0) into 0 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify -1 into -1 8.617 * * * * [progress]: [ 2 / 3 ] generating series at (2) 8.618 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 8.618 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.618 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.618 * [taylor]: Taking taylor expansion of -1 in n 8.618 * [backup-simplify]: Simplify -1 into -1 8.618 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.618 * [taylor]: Taking taylor expansion of (+ n f) in n 8.618 * [taylor]: Taking taylor expansion of n in n 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [taylor]: Taking taylor expansion of f in n 8.618 * [backup-simplify]: Simplify f into f 8.618 * [taylor]: Taking taylor expansion of (- f n) in n 8.618 * [taylor]: Taking taylor expansion of f in n 8.618 * [backup-simplify]: Simplify f into f 8.618 * [taylor]: Taking taylor expansion of n in n 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (+ 0 f) into f 8.619 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify (+ f 0) into f 8.619 * [backup-simplify]: Simplify (/ f f) into 1 8.619 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.619 * [taylor]: Taking taylor expansion of -1 in f 8.619 * [backup-simplify]: Simplify -1 into -1 8.619 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.619 * [taylor]: Taking taylor expansion of (+ n f) in f 8.619 * [taylor]: Taking taylor expansion of n in f 8.619 * [backup-simplify]: Simplify n into n 8.619 * [taylor]: Taking taylor expansion of f in f 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [taylor]: Taking taylor expansion of (- f n) in f 8.619 * [taylor]: Taking taylor expansion of f in f 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [taylor]: Taking taylor expansion of n in f 8.619 * [backup-simplify]: Simplify n into n 8.619 * [backup-simplify]: Simplify (+ n 0) into n 8.619 * [backup-simplify]: Simplify (- n) into (- n) 8.619 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.620 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.620 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.620 * [taylor]: Taking taylor expansion of -1 in f 8.620 * [backup-simplify]: Simplify -1 into -1 8.620 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.620 * [taylor]: Taking taylor expansion of (+ n f) in f 8.620 * [taylor]: Taking taylor expansion of n in f 8.620 * [backup-simplify]: Simplify n into n 8.620 * [taylor]: Taking taylor expansion of f in f 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of (- f n) in f 8.620 * [taylor]: Taking taylor expansion of f in f 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of n in f 8.620 * [backup-simplify]: Simplify n into n 8.620 * [backup-simplify]: Simplify (+ n 0) into n 8.620 * [backup-simplify]: Simplify (- n) into (- n) 8.620 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.620 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.621 * [backup-simplify]: Simplify (* -1 -1) into 1 8.621 * [taylor]: Taking taylor expansion of 1 in n 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (+ 0 1) into 1 8.622 * [backup-simplify]: Simplify (- 0) into 0 8.622 * [backup-simplify]: Simplify (+ 1 0) into 1 8.622 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.623 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.623 * [taylor]: Taking taylor expansion of 2 in n 8.623 * [backup-simplify]: Simplify 2 into 2 8.623 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.623 * [taylor]: Taking taylor expansion of n in n 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 1 into 1 8.623 * [backup-simplify]: Simplify (/ 1 1) into 1 8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.625 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify (+ 0 0) into 0 8.626 * [backup-simplify]: Simplify (- 0) into 0 8.626 * [backup-simplify]: Simplify (+ 0 0) into 0 8.626 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.627 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.627 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.627 * [taylor]: Taking taylor expansion of 2 in n 8.627 * [backup-simplify]: Simplify 2 into 2 8.627 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.627 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.627 * [taylor]: Taking taylor expansion of n in n 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (* 1 1) into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.633 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify (+ 0 0) into 0 8.636 * [backup-simplify]: Simplify (- 0) into 0 8.636 * [backup-simplify]: Simplify (+ 0 0) into 0 8.637 * [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)))) 8.638 * [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))) 8.638 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.638 * [taylor]: Taking taylor expansion of 2 in n 8.638 * [backup-simplify]: Simplify 2 into 2 8.638 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.638 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.638 * [taylor]: Taking taylor expansion of n in n 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.638 * [backup-simplify]: Simplify (* 1 1) into 1 8.639 * [backup-simplify]: Simplify (* 1 1) into 1 8.639 * [backup-simplify]: Simplify (/ 1 1) into 1 8.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.648 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.648 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.648 * [taylor]: Taking taylor expansion of -1 in n 8.648 * [backup-simplify]: Simplify -1 into -1 8.648 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.648 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.649 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.649 * [taylor]: Taking taylor expansion of f in n 8.649 * [backup-simplify]: Simplify f into f 8.649 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.649 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.649 * [taylor]: Taking taylor expansion of n in n 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.649 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.649 * [taylor]: Taking taylor expansion of f in n 8.649 * [backup-simplify]: Simplify f into f 8.649 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.649 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.649 * [taylor]: Taking taylor expansion of n in n 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [backup-simplify]: Simplify (+ 0 1) into 1 8.651 * [backup-simplify]: Simplify (- 1) into -1 8.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.651 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.651 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.651 * [taylor]: Taking taylor expansion of -1 in f 8.652 * [backup-simplify]: Simplify -1 into -1 8.652 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.652 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.652 * [taylor]: Taking taylor expansion of f in f 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 1 into 1 8.652 * [backup-simplify]: Simplify (/ 1 1) into 1 8.652 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.652 * [taylor]: Taking taylor expansion of n in f 8.652 * [backup-simplify]: Simplify n into n 8.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.652 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.652 * [taylor]: Taking taylor expansion of f in f 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 1 into 1 8.653 * [backup-simplify]: Simplify (/ 1 1) into 1 8.653 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.653 * [taylor]: Taking taylor expansion of n in f 8.653 * [backup-simplify]: Simplify n into n 8.653 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.653 * [backup-simplify]: Simplify (+ 1 0) into 1 8.654 * [backup-simplify]: Simplify (+ 1 0) into 1 8.654 * [backup-simplify]: Simplify (/ 1 1) into 1 8.654 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.654 * [taylor]: Taking taylor expansion of -1 in f 8.654 * [backup-simplify]: Simplify -1 into -1 8.654 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.654 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.654 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.654 * [taylor]: Taking taylor expansion of f in f 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (/ 1 1) into 1 8.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.655 * [taylor]: Taking taylor expansion of n in f 8.655 * [backup-simplify]: Simplify n into n 8.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.655 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.655 * [taylor]: Taking taylor expansion of f in f 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (/ 1 1) into 1 8.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.655 * [taylor]: Taking taylor expansion of n in f 8.656 * [backup-simplify]: Simplify n into n 8.656 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.656 * [backup-simplify]: Simplify (+ 1 0) into 1 8.656 * [backup-simplify]: Simplify (+ 1 0) into 1 8.657 * [backup-simplify]: Simplify (/ 1 1) into 1 8.657 * [backup-simplify]: Simplify (* -1 1) into -1 8.657 * [taylor]: Taking taylor expansion of -1 in n 8.657 * [backup-simplify]: Simplify -1 into -1 8.657 * [backup-simplify]: Simplify -1 into -1 8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.658 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.659 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.659 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.660 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.660 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.660 * [taylor]: Taking taylor expansion of 2 in n 8.660 * [backup-simplify]: Simplify 2 into 2 8.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.660 * [taylor]: Taking taylor expansion of n in n 8.660 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify 1 into 1 8.660 * [backup-simplify]: Simplify (/ 1 1) into 1 8.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.662 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.663 * [backup-simplify]: Simplify (- 0) into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.664 * [backup-simplify]: Simplify (+ 0 0) into 0 8.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.665 * [backup-simplify]: Simplify (- 0) into 0 8.666 * [backup-simplify]: Simplify (+ 0 0) into 0 8.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.668 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.668 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.668 * [taylor]: Taking taylor expansion of 2 in n 8.668 * [backup-simplify]: Simplify 2 into 2 8.668 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.668 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.668 * [taylor]: Taking taylor expansion of n in n 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (* 1 1) into 1 8.669 * [backup-simplify]: Simplify (/ 1 1) into 1 8.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.674 * [backup-simplify]: Simplify (- 0) into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.677 * [backup-simplify]: Simplify (- 0) into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.680 * [backup-simplify]: Simplify (- 0) into 0 8.680 * [backup-simplify]: Simplify (+ 0 0) into 0 8.682 * [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))) 8.683 * [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)))) 8.683 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.683 * [taylor]: Taking taylor expansion of 2 in n 8.683 * [backup-simplify]: Simplify 2 into 2 8.683 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.683 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.683 * [taylor]: Taking taylor expansion of n in n 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (* 1 1) into 1 8.684 * [backup-simplify]: Simplify (* 1 1) into 1 8.684 * [backup-simplify]: Simplify (/ 1 1) into 1 8.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (- 0) into 0 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify -1 into -1 8.695 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.695 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.695 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.695 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.695 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.695 * [taylor]: Taking taylor expansion of f in n 8.695 * [backup-simplify]: Simplify f into f 8.695 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.695 * [taylor]: Taking taylor expansion of n in n 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.696 * [backup-simplify]: Simplify (/ 1 1) into 1 8.696 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.696 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.696 * [taylor]: Taking taylor expansion of n in n 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [backup-simplify]: Simplify (/ 1 1) into 1 8.696 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.696 * [taylor]: Taking taylor expansion of f in n 8.696 * [backup-simplify]: Simplify f into f 8.696 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.697 * [backup-simplify]: Simplify (+ 0 1) into 1 8.697 * [backup-simplify]: Simplify (+ 1 0) into 1 8.698 * [backup-simplify]: Simplify (/ 1 1) into 1 8.698 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.698 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.698 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.698 * [taylor]: Taking taylor expansion of f in f 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 1 into 1 8.698 * [backup-simplify]: Simplify (/ 1 1) into 1 8.698 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.698 * [taylor]: Taking taylor expansion of n in f 8.698 * [backup-simplify]: Simplify n into n 8.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.698 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.698 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.698 * [taylor]: Taking taylor expansion of n in f 8.698 * [backup-simplify]: Simplify n into n 8.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.698 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.698 * [taylor]: Taking taylor expansion of f in f 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 1 into 1 8.699 * [backup-simplify]: Simplify (/ 1 1) into 1 8.699 * [backup-simplify]: Simplify (+ 1 0) into 1 8.699 * [backup-simplify]: Simplify (- 1) into -1 8.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.700 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.700 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.700 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.700 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.700 * [taylor]: Taking taylor expansion of f in f 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.700 * [backup-simplify]: Simplify (/ 1 1) into 1 8.700 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.700 * [taylor]: Taking taylor expansion of n in f 8.700 * [backup-simplify]: Simplify n into n 8.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.700 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.700 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.700 * [taylor]: Taking taylor expansion of n in f 8.700 * [backup-simplify]: Simplify n into n 8.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.700 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.700 * [taylor]: Taking taylor expansion of f in f 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.700 * [backup-simplify]: Simplify (/ 1 1) into 1 8.701 * [backup-simplify]: Simplify (+ 1 0) into 1 8.701 * [backup-simplify]: Simplify (- 1) into -1 8.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.701 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.702 * [taylor]: Taking taylor expansion of -1 in n 8.702 * [backup-simplify]: Simplify -1 into -1 8.702 * [backup-simplify]: Simplify -1 into -1 8.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.702 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.703 * [backup-simplify]: Simplify (- 0) into 0 8.703 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.703 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.703 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.703 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.703 * [taylor]: Taking taylor expansion of 2 in n 8.703 * [backup-simplify]: Simplify 2 into 2 8.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.703 * [taylor]: Taking taylor expansion of n in n 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 1 into 1 8.703 * [backup-simplify]: Simplify (/ 1 1) into 1 8.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.704 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.704 * [backup-simplify]: Simplify (- 0) into 0 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.705 * [backup-simplify]: Simplify (+ 0 0) into 0 8.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.706 * [backup-simplify]: Simplify (- 0) into 0 8.706 * [backup-simplify]: Simplify (+ 0 0) into 0 8.707 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.707 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.707 * [taylor]: Taking taylor expansion of 2 in n 8.707 * [backup-simplify]: Simplify 2 into 2 8.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.707 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.707 * [taylor]: Taking taylor expansion of n in n 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (* 1 1) into 1 8.708 * [backup-simplify]: Simplify (/ 1 1) into 1 8.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.710 * [backup-simplify]: Simplify (- 0) into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.712 * [backup-simplify]: Simplify (- 0) into 0 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.713 * [backup-simplify]: Simplify (+ 0 0) into 0 8.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (- 0) into 0 8.714 * [backup-simplify]: Simplify (+ 0 0) into 0 8.715 * [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)))) 8.715 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.715 * [taylor]: Taking taylor expansion of 2 in n 8.715 * [backup-simplify]: Simplify 2 into 2 8.715 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.715 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.715 * [taylor]: Taking taylor expansion of n in n 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (* 1 1) into 1 8.716 * [backup-simplify]: Simplify (* 1 1) into 1 8.716 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (- 0) into 0 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify -1 into -1 8.722 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 8.722 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 8.722 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 8.722 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 8.722 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.722 * [taylor]: Taking taylor expansion of -1 in n 8.722 * [backup-simplify]: Simplify -1 into -1 8.722 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.722 * [taylor]: Taking taylor expansion of (+ n f) in n 8.722 * [taylor]: Taking taylor expansion of n in n 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [taylor]: Taking taylor expansion of f in n 8.722 * [backup-simplify]: Simplify f into f 8.723 * [taylor]: Taking taylor expansion of (- f n) in n 8.723 * [taylor]: Taking taylor expansion of f in n 8.723 * [backup-simplify]: Simplify f into f 8.723 * [taylor]: Taking taylor expansion of n in n 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [backup-simplify]: Simplify (+ 0 f) into f 8.723 * [backup-simplify]: Simplify (- 0) into 0 8.723 * [backup-simplify]: Simplify (+ f 0) into f 8.723 * [backup-simplify]: Simplify (/ f f) into 1 8.723 * [backup-simplify]: Simplify (* -1 1) into -1 8.724 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.724 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 8.724 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.724 * [taylor]: Taking taylor expansion of -1 in f 8.724 * [backup-simplify]: Simplify -1 into -1 8.724 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.724 * [taylor]: Taking taylor expansion of (+ n f) in f 8.724 * [taylor]: Taking taylor expansion of n in f 8.724 * [backup-simplify]: Simplify n into n 8.724 * [taylor]: Taking taylor expansion of f in f 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 1 into 1 8.724 * [taylor]: Taking taylor expansion of (- f n) in f 8.724 * [taylor]: Taking taylor expansion of f in f 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 1 into 1 8.724 * [taylor]: Taking taylor expansion of n in f 8.724 * [backup-simplify]: Simplify n into n 8.724 * [backup-simplify]: Simplify (+ n 0) into n 8.724 * [backup-simplify]: Simplify (- n) into (- n) 8.724 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.724 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.724 * [backup-simplify]: Simplify (* -1 -1) into 1 8.724 * [backup-simplify]: Simplify (exp 1) into E 8.724 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 8.724 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.724 * [taylor]: Taking taylor expansion of -1 in f 8.724 * [backup-simplify]: Simplify -1 into -1 8.724 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.724 * [taylor]: Taking taylor expansion of (+ n f) in f 8.724 * [taylor]: Taking taylor expansion of n in f 8.724 * [backup-simplify]: Simplify n into n 8.724 * [taylor]: Taking taylor expansion of f in f 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of (- f n) in f 8.725 * [taylor]: Taking taylor expansion of f in f 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of n in f 8.725 * [backup-simplify]: Simplify n into n 8.725 * [backup-simplify]: Simplify (+ n 0) into n 8.725 * [backup-simplify]: Simplify (- n) into (- n) 8.725 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.725 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.725 * [backup-simplify]: Simplify (* -1 -1) into 1 8.725 * [backup-simplify]: Simplify (exp 1) into E 8.725 * [taylor]: Taking taylor expansion of E in n 8.725 * [backup-simplify]: Simplify E into E 8.725 * [backup-simplify]: Simplify E into E 8.726 * [backup-simplify]: Simplify (+ 0 1) into 1 8.726 * [backup-simplify]: Simplify (- 0) into 0 8.726 * [backup-simplify]: Simplify (+ 1 0) into 1 8.726 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.727 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.727 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 8.727 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 8.727 * [taylor]: Taking taylor expansion of 2 in n 8.727 * [backup-simplify]: Simplify 2 into 2 8.727 * [taylor]: Taking taylor expansion of (/ E n) in n 8.727 * [taylor]: Taking taylor expansion of E in n 8.727 * [backup-simplify]: Simplify E into E 8.727 * [taylor]: Taking taylor expansion of n in n 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.728 * [backup-simplify]: Simplify (/ E 1) into E 8.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [backup-simplify]: Simplify (- 0) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.730 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.730 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.730 * [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))) 8.730 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 8.731 * [taylor]: Taking taylor expansion of 4 in n 8.731 * [backup-simplify]: Simplify 4 into 4 8.731 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 8.731 * [taylor]: Taking taylor expansion of E in n 8.731 * [backup-simplify]: Simplify E into E 8.731 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.731 * [taylor]: Taking taylor expansion of n in n 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (* 1 1) into 1 8.731 * [backup-simplify]: Simplify (/ E 1) into E 8.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.739 * [backup-simplify]: Simplify (+ 0 0) into 0 8.739 * [backup-simplify]: Simplify (- 0) into 0 8.739 * [backup-simplify]: Simplify (+ 0 0) into 0 8.739 * [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)))) 8.740 * [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))) 8.741 * [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))) 8.741 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 8.741 * [taylor]: Taking taylor expansion of 22/3 in n 8.741 * [backup-simplify]: Simplify 22/3 into 22/3 8.741 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 8.741 * [taylor]: Taking taylor expansion of E in n 8.741 * [backup-simplify]: Simplify E into E 8.741 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.741 * [taylor]: Taking taylor expansion of n in n 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify (* 1 1) into 1 8.741 * [backup-simplify]: Simplify (* 1 1) into 1 8.742 * [backup-simplify]: Simplify (/ E 1) into E 8.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify E into E 8.748 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 8.748 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 8.748 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 8.748 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.748 * [taylor]: Taking taylor expansion of -1 in n 8.748 * [backup-simplify]: Simplify -1 into -1 8.748 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.748 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.748 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.748 * [taylor]: Taking taylor expansion of f in n 8.748 * [backup-simplify]: Simplify f into f 8.748 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.748 * [taylor]: Taking taylor expansion of n in n 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify 1 into 1 8.748 * [backup-simplify]: Simplify (/ 1 1) into 1 8.748 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.748 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.748 * [taylor]: Taking taylor expansion of f in n 8.748 * [backup-simplify]: Simplify f into f 8.748 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.749 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.749 * [taylor]: Taking taylor expansion of n in n 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [backup-simplify]: Simplify (+ 0 1) into 1 8.749 * [backup-simplify]: Simplify (- 1) into -1 8.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.750 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.750 * [backup-simplify]: Simplify (* -1 -1) into 1 8.750 * [backup-simplify]: Simplify (exp 1) into E 8.750 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.750 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.750 * [taylor]: Taking taylor expansion of -1 in f 8.750 * [backup-simplify]: Simplify -1 into -1 8.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.750 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.750 * [taylor]: Taking taylor expansion of f in f 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify (/ 1 1) into 1 8.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.751 * [taylor]: Taking taylor expansion of n in f 8.751 * [backup-simplify]: Simplify n into n 8.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.751 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.751 * [taylor]: Taking taylor expansion of f in f 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify (/ 1 1) into 1 8.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.751 * [taylor]: Taking taylor expansion of n in f 8.751 * [backup-simplify]: Simplify n into n 8.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.752 * [backup-simplify]: Simplify (+ 1 0) into 1 8.752 * [backup-simplify]: Simplify (+ 1 0) into 1 8.752 * [backup-simplify]: Simplify (/ 1 1) into 1 8.752 * [backup-simplify]: Simplify (* -1 1) into -1 8.753 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.753 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.753 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.753 * [taylor]: Taking taylor expansion of -1 in f 8.753 * [backup-simplify]: Simplify -1 into -1 8.753 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.753 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.753 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.753 * [taylor]: Taking taylor expansion of f in f 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.753 * [backup-simplify]: Simplify (/ 1 1) into 1 8.753 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.753 * [taylor]: Taking taylor expansion of n in f 8.753 * [backup-simplify]: Simplify n into n 8.753 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.753 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.753 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.753 * [taylor]: Taking taylor expansion of f in f 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.754 * [backup-simplify]: Simplify (/ 1 1) into 1 8.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.754 * [taylor]: Taking taylor expansion of n in f 8.754 * [backup-simplify]: Simplify n into n 8.754 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.754 * [backup-simplify]: Simplify (+ 1 0) into 1 8.755 * [backup-simplify]: Simplify (+ 1 0) into 1 8.755 * [backup-simplify]: Simplify (/ 1 1) into 1 8.755 * [backup-simplify]: Simplify (* -1 1) into -1 8.755 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.756 * [taylor]: Taking taylor expansion of (exp -1) in n 8.756 * [taylor]: Taking taylor expansion of -1 in n 8.756 * [backup-simplify]: Simplify -1 into -1 8.756 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.756 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.757 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.758 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.758 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.758 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.759 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 8.759 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 8.759 * [taylor]: Taking taylor expansion of -2 in n 8.759 * [backup-simplify]: Simplify -2 into -2 8.759 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 8.759 * [taylor]: Taking taylor expansion of (exp -1) in n 8.759 * [taylor]: Taking taylor expansion of -1 in n 8.759 * [backup-simplify]: Simplify -1 into -1 8.759 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.759 * [taylor]: Taking taylor expansion of n in n 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.760 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.761 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.762 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.763 * [backup-simplify]: Simplify (+ 0 0) into 0 8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.764 * [backup-simplify]: Simplify (- 0) into 0 8.764 * [backup-simplify]: Simplify (+ 0 0) into 0 8.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.765 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.766 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 8.766 * [taylor]: Taking taylor expansion of 0 in n 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 8.768 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.769 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.770 * [backup-simplify]: Simplify (+ 0 0) into 0 8.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.771 * [backup-simplify]: Simplify (- 0) into 0 8.772 * [backup-simplify]: Simplify (+ 0 0) into 0 8.773 * [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))) 8.773 * [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)))) 8.774 * [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))) 8.774 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 8.774 * [taylor]: Taking taylor expansion of 2/3 in n 8.774 * [backup-simplify]: Simplify 2/3 into 2/3 8.774 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 8.774 * [taylor]: Taking taylor expansion of (exp -1) in n 8.774 * [taylor]: Taking taylor expansion of -1 in n 8.774 * [backup-simplify]: Simplify -1 into -1 8.775 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.775 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.775 * [taylor]: Taking taylor expansion of n in n 8.775 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify 1 into 1 8.775 * [backup-simplify]: Simplify (* 1 1) into 1 8.775 * [backup-simplify]: Simplify (* 1 1) into 1 8.776 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.777 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.780 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.782 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.784 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.785 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 8.785 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 8.785 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 8.785 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.785 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.785 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.785 * [taylor]: Taking taylor expansion of f in n 8.785 * [backup-simplify]: Simplify f into f 8.785 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.785 * [taylor]: Taking taylor expansion of n in n 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 1 into 1 8.785 * [backup-simplify]: Simplify (/ 1 1) into 1 8.785 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.785 * [taylor]: Taking taylor expansion of n in n 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 1 into 1 8.786 * [backup-simplify]: Simplify (/ 1 1) into 1 8.786 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.786 * [taylor]: Taking taylor expansion of f in n 8.786 * [backup-simplify]: Simplify f into f 8.786 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.786 * [backup-simplify]: Simplify (+ 0 1) into 1 8.786 * [backup-simplify]: Simplify (+ 1 0) into 1 8.786 * [backup-simplify]: Simplify (/ 1 1) into 1 8.786 * [backup-simplify]: Simplify (exp 1) into E 8.787 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.787 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.787 * [taylor]: Taking taylor expansion of f in f 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (/ 1 1) into 1 8.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.787 * [taylor]: Taking taylor expansion of n in f 8.787 * [backup-simplify]: Simplify n into n 8.787 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.787 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.787 * [taylor]: Taking taylor expansion of n in f 8.787 * [backup-simplify]: Simplify n into n 8.787 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.787 * [taylor]: Taking taylor expansion of f in f 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (/ 1 1) into 1 8.788 * [backup-simplify]: Simplify (+ 1 0) into 1 8.788 * [backup-simplify]: Simplify (- 1) into -1 8.788 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.788 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.789 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.789 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.789 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.789 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.789 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.789 * [taylor]: Taking taylor expansion of f in f 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (/ 1 1) into 1 8.789 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.789 * [taylor]: Taking taylor expansion of n in f 8.789 * [backup-simplify]: Simplify n into n 8.789 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.789 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.789 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.789 * [taylor]: Taking taylor expansion of n in f 8.789 * [backup-simplify]: Simplify n into n 8.789 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.789 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.789 * [taylor]: Taking taylor expansion of f in f 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (/ 1 1) into 1 8.790 * [backup-simplify]: Simplify (+ 1 0) into 1 8.790 * [backup-simplify]: Simplify (- 1) into -1 8.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.791 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.791 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.791 * [taylor]: Taking taylor expansion of (exp -1) in n 8.791 * [taylor]: Taking taylor expansion of -1 in n 8.791 * [backup-simplify]: Simplify -1 into -1 8.791 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.791 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.793 * [backup-simplify]: Simplify (- 0) into 0 8.793 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.793 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.793 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 8.793 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 8.793 * [taylor]: Taking taylor expansion of -2 in n 8.793 * [backup-simplify]: Simplify -2 into -2 8.793 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 8.793 * [taylor]: Taking taylor expansion of (exp -1) in n 8.793 * [taylor]: Taking taylor expansion of -1 in n 8.793 * [backup-simplify]: Simplify -1 into -1 8.794 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.794 * [taylor]: Taking taylor expansion of n in n 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.795 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.796 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (- 0) into 0 8.799 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.800 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 8.800 * [taylor]: Taking taylor expansion of 0 in n 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.802 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 8.802 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.804 * [backup-simplify]: Simplify (+ 0 0) into 0 8.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.805 * [backup-simplify]: Simplify (- 0) into 0 8.806 * [backup-simplify]: Simplify (+ 0 0) into 0 8.807 * [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)))) 8.808 * [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))) 8.808 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 8.808 * [taylor]: Taking taylor expansion of 2/3 in n 8.808 * [backup-simplify]: Simplify 2/3 into 2/3 8.808 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 8.808 * [taylor]: Taking taylor expansion of (exp -1) in n 8.808 * [taylor]: Taking taylor expansion of -1 in n 8.808 * [backup-simplify]: Simplify -1 into -1 8.808 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.808 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.808 * [taylor]: Taking taylor expansion of n in n 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 1 into 1 8.808 * [backup-simplify]: Simplify (* 1 1) into 1 8.809 * [backup-simplify]: Simplify (* 1 1) into 1 8.809 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.810 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.813 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.816 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.818 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.818 * * * [progress]: simplifying candidates 8.822 * [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)) (log (* (cbrt (exp (/ (- (+ f 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(exp -1) 8.827 * * [simplify]: Extracting # 0 : cost 0 8.827 * * [simplify]: Extracting # 1 : cost 0 8.832 * * [simplify]: Extracting # 2 : cost 0 8.832 * * [simplify]: Extracting # 3 : cost 0 8.832 * * [simplify]: Extracting # 4 : cost 0 8.832 * * [simplify]: Extracting # 5 : cost 0 8.833 * * [simplify]: Extracting # 6 : cost 0 8.833 * * [simplify]: Extracting # 7 : cost 0 8.833 * * [simplify]: Extracting # 8 : cost 0 8.834 * * [simplify]: iteration 0 : 241 enodes (cost 3236 ) 8.888 * * [simplify]: Extracting # 0 : cost 0 8.888 * * [simplify]: Extracting # 1 : cost 0 8.889 * * [simplify]: Extracting # 2 : cost 0 8.889 * * [simplify]: Extracting # 3 : cost 0 8.890 * * [simplify]: Extracting # 4 : cost 0 8.890 * * [simplify]: iteration 1 : 403 enodes (cost 2862 ) 9.005 * * [simplify]: Extracting # 0 : cost 0 9.007 * * [simplify]: Extracting # 1 : cost 0 9.009 * * [simplify]: Extracting # 2 : cost 0 9.011 * * [simplify]: Extracting # 3 : cost 0 9.012 * * [simplify]: Extracting # 4 : cost 0 9.014 * * [simplify]: iteration 2 : 858 enodes (cost 2790 ) 9.500 * * [simplify]: Extracting # 0 : cost 0 9.503 * * [simplify]: Extracting # 1 : cost 0 9.505 * * [simplify]: Extracting # 2 : cost 0 9.507 * * [simplify]: Extracting # 3 : cost 0 9.510 * * [simplify]: Extracting # 4 : cost 0 9.512 * * [simplify]: iteration 3 : 2177 enodes (cost 2768 ) 10.980 * * [simplify]: Extracting # 0 : cost 0 10.985 * * [simplify]: Extracting # 1 : cost 0 10.996 * * [simplify]: Extracting # 2 : cost 0 11.000 * * [simplify]: Extracting # 3 : cost 0 11.006 * * [simplify]: Extracting # 4 : cost 0 11.014 * * [simplify]: iteration done: 5000 enodes (cost 2768 ) 11.017 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 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(cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (exp (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (exp (- (sqrt (+ f n)))) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (- (sqrt (+ f n)))) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp -1) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp -1) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ f n))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ -1 (- f n))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 11.021 * * * [progress]: adding candidates to table 11.741 * * [progress]: iteration 4 / 4 11.741 * * * [progress]: picking best candidate 11.752 * * * * [pick]: Picked # 11.752 * * * [progress]: localizing error 11.778 * * * [progress]: generating rewritten candidates 11.778 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 11.979 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 12.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 12.269 * * * [progress]: generating series expansions 12.269 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 12.270 * [backup-simplify]: Simplify (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))) into (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) 12.270 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in (f n) around 0 12.270 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in n 12.270 * [taylor]: Taking taylor expansion of -1 in n 12.270 * [backup-simplify]: Simplify -1 into -1 12.270 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in n 12.270 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in n 12.270 * [taylor]: Taking taylor expansion of (+ n f) in n 12.270 * [taylor]: Taking taylor expansion of n in n 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify 1 into 1 12.270 * [taylor]: Taking taylor expansion of f in n 12.270 * [backup-simplify]: Simplify f into f 12.270 * [backup-simplify]: Simplify (+ 0 f) into f 12.270 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n 12.270 * [taylor]: Taking taylor expansion of (- f n) in n 12.270 * [taylor]: Taking taylor expansion of f in n 12.270 * [backup-simplify]: Simplify f into f 12.271 * [taylor]: Taking taylor expansion of n in n 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 1 into 1 12.271 * [backup-simplify]: Simplify (- 0) into 0 12.271 * [backup-simplify]: Simplify (+ f 0) into f 12.272 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.272 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 12.272 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.272 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 12.272 * [backup-simplify]: Simplify (/ (pow f 3) (pow f 3)) into 1 12.272 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 12.272 * [taylor]: Taking taylor expansion of -1 in f 12.272 * [backup-simplify]: Simplify -1 into -1 12.272 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 12.272 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 12.272 * [taylor]: Taking taylor expansion of (+ n f) in f 12.272 * [taylor]: Taking taylor expansion of n in f 12.272 * [backup-simplify]: Simplify n into n 12.273 * [taylor]: Taking taylor expansion of f in f 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (+ n 0) into n 12.273 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 12.273 * [taylor]: Taking taylor expansion of (- f n) in f 12.273 * [taylor]: Taking taylor expansion of f in f 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.273 * [taylor]: Taking taylor expansion of n in f 12.273 * [backup-simplify]: Simplify n into n 12.273 * [backup-simplify]: Simplify (- n) into (- n) 12.273 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.273 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.273 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 12.273 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.273 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 12.274 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 12.274 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 12.274 * [taylor]: Taking taylor expansion of -1 in f 12.274 * [backup-simplify]: Simplify -1 into -1 12.274 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 12.274 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 12.274 * [taylor]: Taking taylor expansion of (+ n f) in f 12.274 * [taylor]: Taking taylor expansion of n in f 12.274 * [backup-simplify]: Simplify n into n 12.274 * [taylor]: Taking taylor expansion of f in f 12.274 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (+ n 0) into n 12.274 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 12.274 * [taylor]: Taking taylor expansion of (- f n) in f 12.274 * [taylor]: Taking taylor expansion of f in f 12.274 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify 1 into 1 12.274 * [taylor]: Taking taylor expansion of n in f 12.274 * [backup-simplify]: Simplify n into n 12.274 * [backup-simplify]: Simplify (- n) into (- n) 12.274 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.275 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.275 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 12.275 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.275 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 12.275 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 12.276 * [backup-simplify]: Simplify (* -1 -1) into 1 12.276 * [taylor]: Taking taylor expansion of 1 in n 12.276 * [backup-simplify]: Simplify 1 into 1 12.276 * [backup-simplify]: Simplify 1 into 1 12.277 * [backup-simplify]: Simplify (+ 0 1) into 1 12.277 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 12.278 * [backup-simplify]: Simplify (+ (* n (* 2 n)) (* 1 (pow n 2))) into (* 3 (pow n 2)) 12.279 * [backup-simplify]: Simplify (- 0) into 0 12.279 * [backup-simplify]: Simplify (+ 1 0) into 1 12.279 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 12.280 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2)) 12.280 * [backup-simplify]: Simplify (- (/ (* 3 (pow n 2)) (* -1 (pow n 3))) (+ (* -1 (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 6 (/ 1 n))) 12.281 * [backup-simplify]: Simplify (+ (* -1 (- (* 6 (/ 1 n)))) (* 0 -1)) into (* 6 (/ 1 n)) 12.281 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 12.281 * [taylor]: Taking taylor expansion of 6 in n 12.281 * [backup-simplify]: Simplify 6 into 6 12.281 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.281 * [taylor]: Taking taylor expansion of n in n 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 1 into 1 12.282 * [backup-simplify]: Simplify (/ 1 1) into 1 12.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.283 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.284 * [backup-simplify]: Simplify (+ 0 0) into 0 12.284 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 12.285 * [backup-simplify]: Simplify (+ (* n 1) (+ (* 1 (* 2 n)) (* 0 (pow n 2)))) into (* 3 n) 12.285 * [backup-simplify]: Simplify (- 0) into 0 12.285 * [backup-simplify]: Simplify (+ 0 0) into 0 12.286 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 12.286 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n)) 12.287 * [backup-simplify]: Simplify (- (/ (* 3 n) (* -1 (pow n 3))) (+ (* -1 (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 18 (/ 1 (pow n 2)))) 12.288 * [backup-simplify]: Simplify (+ (* -1 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1))) into (* 18 (/ 1 (pow n 2))) 12.288 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 12.288 * [taylor]: Taking taylor expansion of 18 in n 12.288 * [backup-simplify]: Simplify 18 into 18 12.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.288 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.288 * [taylor]: Taking taylor expansion of n in n 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (* 1 1) into 1 12.289 * [backup-simplify]: Simplify (/ 1 1) into 1 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 12.293 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.295 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify (+ 0 0) into 0 12.296 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 12.297 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2))))) into 1 12.298 * [backup-simplify]: Simplify (- 0) into 0 12.298 * [backup-simplify]: Simplify (+ 0 0) into 0 12.299 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 12.299 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (+ (* 0 (- (* 2 n))) (* 0 (pow n 2))))) into 1 12.301 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* -1 (/ 1 (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 38 (/ 1 (pow n 3)))) 12.302 * [backup-simplify]: Simplify (+ (* -1 (- (* 38 (/ 1 (pow n 3))))) (+ (* 0 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1)))) into (* 38 (/ 1 (pow n 3))) 12.302 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 12.302 * [taylor]: Taking taylor expansion of 38 in n 12.302 * [backup-simplify]: Simplify 38 into 38 12.302 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.302 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.302 * [taylor]: Taking taylor expansion of n in n 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 1 into 1 12.303 * [backup-simplify]: Simplify (* 1 1) into 1 12.303 * [backup-simplify]: Simplify (* 1 1) into 1 12.304 * [backup-simplify]: Simplify (/ 1 1) into 1 12.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.312 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify 1 into 1 12.313 * [backup-simplify]: Simplify (* (* (- (+ (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) 12.313 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in (f n) around 0 12.313 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in n 12.313 * [taylor]: Taking taylor expansion of -1 in n 12.313 * [backup-simplify]: Simplify -1 into -1 12.313 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in n 12.313 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 12.313 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.313 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.313 * [taylor]: Taking taylor expansion of f in n 12.314 * [backup-simplify]: Simplify f into f 12.314 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.314 * [taylor]: Taking taylor expansion of n in n 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 1 into 1 12.314 * [backup-simplify]: Simplify (/ 1 1) into 1 12.315 * [backup-simplify]: Simplify (+ 0 1) into 1 12.315 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n 12.315 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.315 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.315 * [taylor]: Taking taylor expansion of f in n 12.315 * [backup-simplify]: Simplify f into f 12.315 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.315 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.315 * [taylor]: Taking taylor expansion of n in n 12.315 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify 1 into 1 12.315 * [backup-simplify]: Simplify (/ 1 1) into 1 12.316 * [backup-simplify]: Simplify (- 1) into -1 12.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.316 * [backup-simplify]: Simplify (* 1 1) into 1 12.317 * [backup-simplify]: Simplify (* 1 1) into 1 12.317 * [backup-simplify]: Simplify (* -1 -1) into 1 12.318 * [backup-simplify]: Simplify (* -1 1) into -1 12.318 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.318 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 12.318 * [taylor]: Taking taylor expansion of -1 in f 12.318 * [backup-simplify]: Simplify -1 into -1 12.318 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.318 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.318 * [taylor]: Taking taylor expansion of f in f 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 1 into 1 12.318 * [backup-simplify]: Simplify (/ 1 1) into 1 12.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.318 * [taylor]: Taking taylor expansion of n in f 12.318 * [backup-simplify]: Simplify n into n 12.318 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.319 * [backup-simplify]: Simplify (+ 1 0) into 1 12.319 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.319 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.319 * [taylor]: Taking taylor expansion of f in f 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [backup-simplify]: Simplify (/ 1 1) into 1 12.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.319 * [taylor]: Taking taylor expansion of n in f 12.319 * [backup-simplify]: Simplify n into n 12.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.319 * [backup-simplify]: Simplify (+ 1 0) into 1 12.320 * [backup-simplify]: Simplify (* 1 1) into 1 12.320 * [backup-simplify]: Simplify (* 1 1) into 1 12.320 * [backup-simplify]: Simplify (* 1 1) into 1 12.320 * [backup-simplify]: Simplify (* 1 1) into 1 12.320 * [backup-simplify]: Simplify (/ 1 1) into 1 12.321 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 12.321 * [taylor]: Taking taylor expansion of -1 in f 12.321 * [backup-simplify]: Simplify -1 into -1 12.321 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.321 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.321 * [taylor]: Taking taylor expansion of f in f 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (/ 1 1) into 1 12.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.321 * [taylor]: Taking taylor expansion of n in f 12.321 * [backup-simplify]: Simplify n into n 12.321 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.321 * [backup-simplify]: Simplify (+ 1 0) into 1 12.321 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.321 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.321 * [taylor]: Taking taylor expansion of f in f 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.322 * [backup-simplify]: Simplify (/ 1 1) into 1 12.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.322 * [taylor]: Taking taylor expansion of n in f 12.322 * [backup-simplify]: Simplify n into n 12.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.322 * [backup-simplify]: Simplify (+ 1 0) into 1 12.322 * [backup-simplify]: Simplify (* 1 1) into 1 12.322 * [backup-simplify]: Simplify (* 1 1) into 1 12.323 * [backup-simplify]: Simplify (* 1 1) into 1 12.323 * [backup-simplify]: Simplify (* 1 1) into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.324 * [backup-simplify]: Simplify (* -1 1) into -1 12.324 * [taylor]: Taking taylor expansion of -1 in n 12.324 * [backup-simplify]: Simplify -1 into -1 12.324 * [backup-simplify]: Simplify -1 into -1 12.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.324 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.324 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.324 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.325 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.325 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.325 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 12.325 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n))) 12.325 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 6 (/ 1 n)) 12.326 * [backup-simplify]: Simplify (+ (* -1 (* 6 (/ 1 n))) (* 0 1)) into (- (* 6 (/ 1 n))) 12.326 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 12.326 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 12.326 * [taylor]: Taking taylor expansion of 6 in n 12.326 * [backup-simplify]: Simplify 6 into 6 12.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.326 * [taylor]: Taking taylor expansion of n in n 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.326 * [backup-simplify]: Simplify (/ 1 1) into 1 12.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 12.327 * [backup-simplify]: Simplify (- 0) into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.328 * [backup-simplify]: Simplify (+ 0 0) into 0 12.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.329 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.330 * [backup-simplify]: Simplify (- 0) into 0 12.330 * [backup-simplify]: Simplify (+ 0 0) into 0 12.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 12.331 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.332 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 6 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 18 (/ 1 (pow n 2))) 12.332 * [backup-simplify]: Simplify (+ (* -1 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1))) into (- (* 18 (/ 1 (pow n 2)))) 12.332 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 12.332 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 12.332 * [taylor]: Taking taylor expansion of 18 in n 12.332 * [backup-simplify]: Simplify 18 into 18 12.332 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.332 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.333 * [taylor]: Taking taylor expansion of n in n 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 1 into 1 12.333 * [backup-simplify]: Simplify (* 1 1) into 1 12.333 * [backup-simplify]: Simplify (/ 1 1) into 1 12.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.335 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 12.336 * [backup-simplify]: Simplify (- 0) into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.337 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 12.337 * [backup-simplify]: Simplify (- 0) into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.338 * [backup-simplify]: Simplify (+ 0 0) into 0 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 12.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.340 * [backup-simplify]: Simplify (- 0) into 0 12.341 * [backup-simplify]: Simplify (+ 0 0) into 0 12.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (- (/ 1 (pow n 3))) 12.343 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) 1) (+ (* 1 (/ (- (/ 1 (pow n 3))) 1)) (* (* 6 (/ 1 n)) (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 18 (/ 1 (pow n 2))) (/ (- (* 3 (/ 1 n))) 1)))) into (* 38 (/ 1 (pow n 3))) 12.343 * [backup-simplify]: Simplify (+ (* -1 (* 38 (/ 1 (pow n 3)))) (+ (* 0 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1)))) into (- (* 38 (/ 1 (pow n 3)))) 12.343 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 12.343 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 12.343 * [taylor]: Taking taylor expansion of 38 in n 12.343 * [backup-simplify]: Simplify 38 into 38 12.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.343 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.343 * [taylor]: Taking taylor expansion of n in n 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify 1 into 1 12.344 * [backup-simplify]: Simplify (* 1 1) into 1 12.344 * [backup-simplify]: Simplify (* 1 1) into 1 12.344 * [backup-simplify]: Simplify (/ 1 1) into 1 12.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (- 0) into 0 12.349 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify -1 into -1 12.350 * [backup-simplify]: Simplify (* (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- f)) (/ 1 (- n))) (pow (- (/ 1 (- f)) (/ 1 (- n))) 3))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) 12.350 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in (f n) around 0 12.350 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in n 12.350 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 12.350 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.350 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.350 * [taylor]: Taking taylor expansion of f in n 12.350 * [backup-simplify]: Simplify f into f 12.350 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.350 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.350 * [taylor]: Taking taylor expansion of n in n 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.350 * [backup-simplify]: Simplify (/ 1 1) into 1 12.351 * [backup-simplify]: Simplify (+ 0 1) into 1 12.351 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n 12.351 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.351 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.351 * [taylor]: Taking taylor expansion of n in n 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 1 into 1 12.351 * [backup-simplify]: Simplify (/ 1 1) into 1 12.351 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.351 * [taylor]: Taking taylor expansion of f in n 12.351 * [backup-simplify]: Simplify f into f 12.351 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.351 * [backup-simplify]: Simplify (+ 1 0) into 1 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.353 * [backup-simplify]: Simplify (/ 1 1) into 1 12.353 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.353 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.353 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.353 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.353 * [taylor]: Taking taylor expansion of f in f 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 1 into 1 12.353 * [backup-simplify]: Simplify (/ 1 1) into 1 12.353 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.353 * [taylor]: Taking taylor expansion of n in f 12.353 * [backup-simplify]: Simplify n into n 12.353 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.353 * [backup-simplify]: Simplify (+ 1 0) into 1 12.353 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.353 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.353 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.353 * [taylor]: Taking taylor expansion of n in f 12.353 * [backup-simplify]: Simplify n into n 12.353 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.354 * [taylor]: Taking taylor expansion of f in f 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [backup-simplify]: Simplify (/ 1 1) into 1 12.354 * [backup-simplify]: Simplify (- 1) into -1 12.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.355 * [backup-simplify]: Simplify (* 1 1) into 1 12.355 * [backup-simplify]: Simplify (* 1 1) into 1 12.355 * [backup-simplify]: Simplify (* -1 -1) into 1 12.356 * [backup-simplify]: Simplify (* -1 1) into -1 12.356 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.356 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.356 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.356 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.356 * [taylor]: Taking taylor expansion of f in f 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [backup-simplify]: Simplify (/ 1 1) into 1 12.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.356 * [taylor]: Taking taylor expansion of n in f 12.356 * [backup-simplify]: Simplify n into n 12.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.357 * [backup-simplify]: Simplify (+ 1 0) into 1 12.357 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.357 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.357 * [taylor]: Taking taylor expansion of n in f 12.357 * [backup-simplify]: Simplify n into n 12.357 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.357 * [taylor]: Taking taylor expansion of f in f 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [backup-simplify]: Simplify (/ 1 1) into 1 12.357 * [backup-simplify]: Simplify (- 1) into -1 12.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.358 * [backup-simplify]: Simplify (* 1 1) into 1 12.358 * [backup-simplify]: Simplify (* 1 1) into 1 12.358 * [backup-simplify]: Simplify (* -1 -1) into 1 12.358 * [backup-simplify]: Simplify (* -1 1) into -1 12.359 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.359 * [taylor]: Taking taylor expansion of -1 in n 12.359 * [backup-simplify]: Simplify -1 into -1 12.359 * [backup-simplify]: Simplify -1 into -1 12.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.359 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.360 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.360 * [backup-simplify]: Simplify (- 0) into 0 12.360 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.360 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.360 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.361 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 6 (/ 1 n))) 12.361 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 12.361 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 12.361 * [taylor]: Taking taylor expansion of 6 in n 12.361 * [backup-simplify]: Simplify 6 into 6 12.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.361 * [taylor]: Taking taylor expansion of n in n 12.361 * [backup-simplify]: Simplify 0 into 0 12.361 * [backup-simplify]: Simplify 1 into 1 12.361 * [backup-simplify]: Simplify (/ 1 1) into 1 12.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.371 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 12.371 * [backup-simplify]: Simplify (- 0) into 0 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 0 into 0 12.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.373 * [backup-simplify]: Simplify (+ 0 0) into 0 12.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.375 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.376 * [backup-simplify]: Simplify (- 0) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.378 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.379 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2)))) 12.380 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 6 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 18 (/ 1 (pow n 2)))) 12.380 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 12.380 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 12.380 * [taylor]: Taking taylor expansion of 18 in n 12.380 * [backup-simplify]: Simplify 18 into 18 12.380 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.380 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.380 * [taylor]: Taking taylor expansion of n in n 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (* 1 1) into 1 12.381 * [backup-simplify]: Simplify (/ 1 1) into 1 12.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 12.385 * [backup-simplify]: Simplify (- 0) into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.387 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 12.387 * [backup-simplify]: Simplify (- 0) into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.389 * [backup-simplify]: Simplify (+ 0 0) into 0 12.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 12.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.393 * [backup-simplify]: Simplify (- 0) into 0 12.393 * [backup-simplify]: Simplify (+ 0 0) into 0 12.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 12.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (/ 1 (pow n 3)) 12.396 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) -1) (+ (* -1 (/ (/ 1 (pow n 3)) -1)) (* (- (* 6 (/ 1 n))) (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 38 (/ 1 (pow n 3)))) 12.396 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 12.397 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 12.397 * [taylor]: Taking taylor expansion of 38 in n 12.397 * [backup-simplify]: Simplify 38 into 38 12.397 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.397 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.397 * [taylor]: Taking taylor expansion of n in n 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 1 into 1 12.397 * [backup-simplify]: Simplify (* 1 1) into 1 12.397 * [backup-simplify]: Simplify (* 1 1) into 1 12.398 * [backup-simplify]: Simplify (/ 1 1) into 1 12.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.407 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (- 0) into 0 12.408 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify -1 into -1 12.408 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 12.408 * [backup-simplify]: Simplify (/ (+ f n) (pow (- f n) 3)) into (/ (+ n f) (pow (- f n) 3)) 12.408 * [approximate]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in (f n) around 0 12.408 * [taylor]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in n 12.408 * [taylor]: Taking taylor expansion of (+ n f) in n 12.408 * [taylor]: Taking taylor expansion of n in n 12.408 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify 1 into 1 12.408 * [taylor]: Taking taylor expansion of f in n 12.408 * [backup-simplify]: Simplify f into f 12.408 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n 12.409 * [taylor]: Taking taylor expansion of (- f n) in n 12.409 * [taylor]: Taking taylor expansion of f in n 12.409 * [backup-simplify]: Simplify f into f 12.409 * [taylor]: Taking taylor expansion of n in n 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 1 into 1 12.409 * [backup-simplify]: Simplify (- 0) into 0 12.409 * [backup-simplify]: Simplify (+ f 0) into f 12.409 * [backup-simplify]: Simplify (+ 0 f) into f 12.409 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.409 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 12.410 * [backup-simplify]: Simplify (/ f (pow f 3)) into (/ 1 (pow f 2)) 12.410 * [taylor]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in f 12.410 * [taylor]: Taking taylor expansion of (+ n f) in f 12.410 * [taylor]: Taking taylor expansion of n in f 12.410 * [backup-simplify]: Simplify n into n 12.410 * [taylor]: Taking taylor expansion of f in f 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 1 into 1 12.410 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 12.410 * [taylor]: Taking taylor expansion of (- f n) in f 12.410 * [taylor]: Taking taylor expansion of f in f 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 1 into 1 12.410 * [taylor]: Taking taylor expansion of n in f 12.410 * [backup-simplify]: Simplify n into n 12.410 * [backup-simplify]: Simplify (- n) into (- n) 12.410 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.410 * [backup-simplify]: Simplify (+ n 0) into n 12.410 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.410 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 12.411 * [backup-simplify]: Simplify (/ n (* -1 (pow n 3))) into (/ -1 (pow n 2)) 12.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in f 12.411 * [taylor]: Taking taylor expansion of (+ n f) in f 12.411 * [taylor]: Taking taylor expansion of n in f 12.411 * [backup-simplify]: Simplify n into n 12.411 * [taylor]: Taking taylor expansion of f in f 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 12.411 * [taylor]: Taking taylor expansion of (- f n) in f 12.411 * [taylor]: Taking taylor expansion of f in f 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [taylor]: Taking taylor expansion of n in f 12.411 * [backup-simplify]: Simplify n into n 12.411 * [backup-simplify]: Simplify (- n) into (- n) 12.411 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.411 * [backup-simplify]: Simplify (+ n 0) into n 12.411 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.411 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 12.412 * [backup-simplify]: Simplify (/ n (* -1 (pow n 3))) into (/ -1 (pow n 2)) 12.412 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 12.412 * [taylor]: Taking taylor expansion of -1 in n 12.412 * [backup-simplify]: Simplify -1 into -1 12.412 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.412 * [taylor]: Taking taylor expansion of n in n 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 1 into 1 12.412 * [backup-simplify]: Simplify (* 1 1) into 1 12.413 * [backup-simplify]: Simplify (/ -1 1) into -1 12.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.416 * [backup-simplify]: Simplify 0 into 0 12.417 * [backup-simplify]: Simplify (+ 0 1) into 1 12.417 * [backup-simplify]: Simplify (- 0) into 0 12.417 * [backup-simplify]: Simplify (+ 1 0) into 1 12.418 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 12.418 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2)) 12.419 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* (/ -1 (pow n 2)) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 4 (/ 1 (pow n 3)))) 12.419 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow n 3)))) in n 12.419 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow n 3))) in n 12.419 * [taylor]: Taking taylor expansion of 4 in n 12.419 * [backup-simplify]: Simplify 4 into 4 12.419 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.419 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.419 * [taylor]: Taking taylor expansion of n in n 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.419 * [backup-simplify]: Simplify (* 1 1) into 1 12.420 * [backup-simplify]: Simplify (* 1 1) into 1 12.420 * [backup-simplify]: Simplify (/ 1 1) into 1 12.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.430 * [backup-simplify]: Simplify (- 0) into 0 12.430 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.432 * [backup-simplify]: Simplify (- 0) into 0 12.433 * [backup-simplify]: Simplify (+ 0 0) into 0 12.433 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 12.434 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n)) 12.435 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow n 3))) (+ (* (/ -1 (pow n 2)) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 4 (/ 1 (pow n 3)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 9 (/ 1 (pow n 4)))) 12.435 * [taylor]: Taking taylor expansion of (- (* 9 (/ 1 (pow n 4)))) in n 12.435 * [taylor]: Taking taylor expansion of (* 9 (/ 1 (pow n 4))) in n 12.435 * [taylor]: Taking taylor expansion of 9 in n 12.435 * [backup-simplify]: Simplify 9 into 9 12.435 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 12.435 * [taylor]: Taking taylor expansion of (pow n 4) in n 12.435 * [taylor]: Taking taylor expansion of n in n 12.435 * [backup-simplify]: Simplify 0 into 0 12.435 * [backup-simplify]: Simplify 1 into 1 12.436 * [backup-simplify]: Simplify (* 1 1) into 1 12.436 * [backup-simplify]: Simplify (* 1 1) into 1 12.436 * [backup-simplify]: Simplify (/ 1 1) into 1 12.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.449 * [backup-simplify]: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.449 * [backup-simplify]: Simplify (- 0) into 0 12.449 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.452 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.452 * [backup-simplify]: Simplify (- 0) into 0 12.452 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) 12.454 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in (f n) around 0 12.454 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in n 12.454 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.454 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.454 * [taylor]: Taking taylor expansion of f in n 12.454 * [backup-simplify]: Simplify f into f 12.454 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.454 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.454 * [taylor]: Taking taylor expansion of n in n 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 1 into 1 12.455 * [backup-simplify]: Simplify (/ 1 1) into 1 12.455 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n 12.455 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.455 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.455 * [taylor]: Taking taylor expansion of f in n 12.455 * [backup-simplify]: Simplify f into f 12.455 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.455 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.455 * [taylor]: Taking taylor expansion of n in n 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify 1 into 1 12.455 * [backup-simplify]: Simplify (/ 1 1) into 1 12.455 * [backup-simplify]: Simplify (- 1) into -1 12.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.456 * [backup-simplify]: Simplify (+ 0 1) into 1 12.456 * [backup-simplify]: Simplify (* -1 -1) into 1 12.456 * [backup-simplify]: Simplify (* -1 1) into -1 12.456 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.457 * [taylor]: Taking taylor expansion of f in f 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify (/ 1 1) into 1 12.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.457 * [taylor]: Taking taylor expansion of n in f 12.457 * [backup-simplify]: Simplify n into n 12.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.457 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.457 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.457 * [taylor]: Taking taylor expansion of f in f 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify (/ 1 1) into 1 12.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.457 * [taylor]: Taking taylor expansion of n in f 12.457 * [backup-simplify]: Simplify n into n 12.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.458 * [backup-simplify]: Simplify (+ 1 0) into 1 12.458 * [backup-simplify]: Simplify (+ 1 0) into 1 12.458 * [backup-simplify]: Simplify (* 1 1) into 1 12.458 * [backup-simplify]: Simplify (* 1 1) into 1 12.459 * [backup-simplify]: Simplify (/ 1 1) into 1 12.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.459 * [taylor]: Taking taylor expansion of f in f 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [backup-simplify]: Simplify (/ 1 1) into 1 12.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.459 * [taylor]: Taking taylor expansion of n in f 12.459 * [backup-simplify]: Simplify n into n 12.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.459 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.459 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.459 * [taylor]: Taking taylor expansion of f in f 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [backup-simplify]: Simplify (/ 1 1) into 1 12.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.459 * [taylor]: Taking taylor expansion of n in f 12.459 * [backup-simplify]: Simplify n into n 12.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.460 * [backup-simplify]: Simplify (+ 1 0) into 1 12.460 * [backup-simplify]: Simplify (+ 1 0) into 1 12.460 * [backup-simplify]: Simplify (* 1 1) into 1 12.461 * [backup-simplify]: Simplify (* 1 1) into 1 12.461 * [backup-simplify]: Simplify (/ 1 1) into 1 12.461 * [taylor]: Taking taylor expansion of 1 in n 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.461 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.462 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.462 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.462 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 12.462 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n))) 12.463 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 12.463 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.463 * [taylor]: Taking taylor expansion of 4 in n 12.463 * [backup-simplify]: Simplify 4 into 4 12.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.463 * [taylor]: Taking taylor expansion of n in n 12.463 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify 1 into 1 12.463 * [backup-simplify]: Simplify (/ 1 1) into 1 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.465 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 0 into 0 12.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.466 * [backup-simplify]: Simplify (+ 0 0) into 0 12.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.467 * [backup-simplify]: Simplify (- 0) into 0 12.467 * [backup-simplify]: Simplify (+ 0 0) into 0 12.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 12.468 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 4 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 9 (/ 1 (pow n 2))) 12.469 * [taylor]: Taking taylor expansion of (* 9 (/ 1 (pow n 2))) in n 12.469 * [taylor]: Taking taylor expansion of 9 in n 12.469 * [backup-simplify]: Simplify 9 into 9 12.469 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.469 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.469 * [taylor]: Taking taylor expansion of n in n 12.469 * [backup-simplify]: Simplify 0 into 0 12.469 * [backup-simplify]: Simplify 1 into 1 12.469 * [backup-simplify]: Simplify (* 1 1) into 1 12.469 * [backup-simplify]: Simplify (/ 1 1) into 1 12.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.474 * [backup-simplify]: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.475 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.475 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (pow (- (/ 1 (- f)) (/ 1 (- n))) 3)) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) 12.476 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in (f n) around 0 12.476 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in n 12.476 * [taylor]: Taking taylor expansion of -1 in n 12.476 * [backup-simplify]: Simplify -1 into -1 12.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3)) in n 12.476 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.476 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.476 * [taylor]: Taking taylor expansion of f in n 12.476 * [backup-simplify]: Simplify f into f 12.476 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.476 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.476 * [taylor]: Taking taylor expansion of n in n 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify 1 into 1 12.476 * [backup-simplify]: Simplify (/ 1 1) into 1 12.476 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n 12.476 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.476 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.476 * [taylor]: Taking taylor expansion of n in n 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify 1 into 1 12.477 * [backup-simplify]: Simplify (/ 1 1) into 1 12.477 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.477 * [taylor]: Taking taylor expansion of f in n 12.477 * [backup-simplify]: Simplify f into f 12.477 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.477 * [backup-simplify]: Simplify (+ 1 0) into 1 12.477 * [backup-simplify]: Simplify (+ 0 1) into 1 12.478 * [backup-simplify]: Simplify (* 1 1) into 1 12.478 * [backup-simplify]: Simplify (* 1 1) into 1 12.478 * [backup-simplify]: Simplify (/ 1 1) into 1 12.478 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in f 12.478 * [taylor]: Taking taylor expansion of -1 in f 12.478 * [backup-simplify]: Simplify -1 into -1 12.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.478 * [taylor]: Taking taylor expansion of f in f 12.478 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 1 into 1 12.478 * [backup-simplify]: Simplify (/ 1 1) into 1 12.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.478 * [taylor]: Taking taylor expansion of n in f 12.479 * [backup-simplify]: Simplify n into n 12.479 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.479 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.479 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.479 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.479 * [taylor]: Taking taylor expansion of n in f 12.479 * [backup-simplify]: Simplify n into n 12.479 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.479 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.479 * [taylor]: Taking taylor expansion of f in f 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.479 * [backup-simplify]: Simplify (/ 1 1) into 1 12.479 * [backup-simplify]: Simplify (- 1) into -1 12.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.480 * [backup-simplify]: Simplify (+ 1 0) into 1 12.480 * [backup-simplify]: Simplify (* -1 -1) into 1 12.480 * [backup-simplify]: Simplify (* -1 1) into -1 12.480 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.480 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in f 12.480 * [taylor]: Taking taylor expansion of -1 in f 12.481 * [backup-simplify]: Simplify -1 into -1 12.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.481 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.481 * [taylor]: Taking taylor expansion of f in f 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 1 into 1 12.481 * [backup-simplify]: Simplify (/ 1 1) into 1 12.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.481 * [taylor]: Taking taylor expansion of n in f 12.481 * [backup-simplify]: Simplify n into n 12.481 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.481 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.481 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.481 * [taylor]: Taking taylor expansion of n in f 12.481 * [backup-simplify]: Simplify n into n 12.481 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.481 * [taylor]: Taking taylor expansion of f in f 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 1 into 1 12.481 * [backup-simplify]: Simplify (/ 1 1) into 1 12.482 * [backup-simplify]: Simplify (- 1) into -1 12.482 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.482 * [backup-simplify]: Simplify (+ 1 0) into 1 12.482 * [backup-simplify]: Simplify (* -1 -1) into 1 12.483 * [backup-simplify]: Simplify (* -1 1) into -1 12.483 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.483 * [backup-simplify]: Simplify (* -1 -1) into 1 12.483 * [taylor]: Taking taylor expansion of 1 in n 12.483 * [backup-simplify]: Simplify 1 into 1 12.483 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.484 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.484 * [backup-simplify]: Simplify (- 0) into 0 12.485 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.485 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.485 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.485 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 4 (/ 1 n))) 12.485 * [backup-simplify]: Simplify (+ (* -1 (- (* 4 (/ 1 n)))) (* 0 -1)) into (* 4 (/ 1 n)) 12.485 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.485 * [taylor]: Taking taylor expansion of 4 in n 12.485 * [backup-simplify]: Simplify 4 into 4 12.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.485 * [taylor]: Taking taylor expansion of n in n 12.485 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify 1 into 1 12.486 * [backup-simplify]: Simplify (/ 1 1) into 1 12.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.488 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.489 * [backup-simplify]: Simplify (+ 0 0) into 0 12.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.490 * [backup-simplify]: Simplify (- 0) into 0 12.490 * [backup-simplify]: Simplify (+ 0 0) into 0 12.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.497 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2)))) 12.497 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 4 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 9 (/ 1 (pow n 2)))) 12.498 * [backup-simplify]: Simplify (+ (* -1 (- (* 9 (/ 1 (pow n 2))))) (+ (* 0 (- (* 4 (/ 1 n)))) (* 0 -1))) into (* 9 (/ 1 (pow n 2))) 12.498 * [taylor]: Taking taylor expansion of (* 9 (/ 1 (pow n 2))) in n 12.498 * [taylor]: Taking taylor expansion of 9 in n 12.498 * [backup-simplify]: Simplify 9 into 9 12.498 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.498 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.498 * [taylor]: Taking taylor expansion of n in n 12.498 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify 1 into 1 12.498 * [backup-simplify]: Simplify (* 1 1) into 1 12.499 * [backup-simplify]: Simplify (/ 1 1) into 1 12.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.504 * [backup-simplify]: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.505 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.505 * [backup-simplify]: Simplify (cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 12.505 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 12.505 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 12.505 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 12.506 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.506 * [taylor]: Taking taylor expansion of -1 in n 12.506 * [backup-simplify]: Simplify -1 into -1 12.506 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.506 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.506 * [taylor]: Taking taylor expansion of (+ n f) in n 12.506 * [taylor]: Taking taylor expansion of n in n 12.506 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify 1 into 1 12.506 * [taylor]: Taking taylor expansion of f in n 12.506 * [backup-simplify]: Simplify f into f 12.506 * [taylor]: Taking taylor expansion of (- f n) in n 12.507 * [taylor]: Taking taylor expansion of f in n 12.507 * [backup-simplify]: Simplify f into f 12.507 * [taylor]: Taking taylor expansion of n in n 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [backup-simplify]: Simplify (+ 0 f) into f 12.507 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 12.507 * [backup-simplify]: Simplify (- 0) into 0 12.507 * [backup-simplify]: Simplify (+ f 0) into f 12.508 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 12.508 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 12.508 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 12.508 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.508 * [taylor]: Taking taylor expansion of -1 in f 12.508 * [backup-simplify]: Simplify -1 into -1 12.508 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.508 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.508 * [taylor]: Taking taylor expansion of (+ n f) in f 12.508 * [taylor]: Taking taylor expansion of n in f 12.508 * [backup-simplify]: Simplify n into n 12.508 * [taylor]: Taking taylor expansion of f in f 12.508 * [backup-simplify]: Simplify 0 into 0 12.508 * [backup-simplify]: Simplify 1 into 1 12.508 * [taylor]: Taking taylor expansion of (- f n) in f 12.508 * [taylor]: Taking taylor expansion of f in f 12.509 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify 1 into 1 12.509 * [taylor]: Taking taylor expansion of n in f 12.509 * [backup-simplify]: Simplify n into n 12.509 * [backup-simplify]: Simplify (+ n 0) into n 12.509 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 12.509 * [backup-simplify]: Simplify (- n) into (- n) 12.509 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.509 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 12.509 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 12.509 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 12.509 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.509 * [taylor]: Taking taylor expansion of -1 in f 12.509 * [backup-simplify]: Simplify -1 into -1 12.510 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.510 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.510 * [taylor]: Taking taylor expansion of (+ n f) in f 12.510 * [taylor]: Taking taylor expansion of n in f 12.510 * [backup-simplify]: Simplify n into n 12.510 * [taylor]: Taking taylor expansion of f in f 12.510 * [backup-simplify]: Simplify 0 into 0 12.510 * [backup-simplify]: Simplify 1 into 1 12.510 * [taylor]: Taking taylor expansion of (- f n) in f 12.510 * [taylor]: Taking taylor expansion of f in f 12.510 * [backup-simplify]: Simplify 0 into 0 12.510 * [backup-simplify]: Simplify 1 into 1 12.510 * [taylor]: Taking taylor expansion of n in f 12.510 * [backup-simplify]: Simplify n into n 12.510 * [backup-simplify]: Simplify (+ n 0) into n 12.511 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 12.511 * [backup-simplify]: Simplify (- n) into (- n) 12.511 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.511 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 12.511 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 12.511 * [taylor]: Taking taylor expansion of -1 in n 12.511 * [backup-simplify]: Simplify -1 into -1 12.511 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.511 * [taylor]: Taking taylor expansion of -1 in n 12.511 * [backup-simplify]: Simplify -1 into -1 12.512 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.512 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.513 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 12.514 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 12.514 * [backup-simplify]: Simplify (+ 0 1) into 1 12.515 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 12.515 * [backup-simplify]: Simplify (- 0) into 0 12.515 * [backup-simplify]: Simplify (+ 1 0) into 1 12.516 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 12.516 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 12.516 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 12.516 * [taylor]: Taking taylor expansion of 2 in n 12.516 * [backup-simplify]: Simplify 2 into 2 12.516 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 12.516 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.516 * [taylor]: Taking taylor expansion of -1 in n 12.516 * [backup-simplify]: Simplify -1 into -1 12.517 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.517 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.517 * [taylor]: Taking taylor expansion of n in n 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.518 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.519 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 12.519 * [backup-simplify]: Simplify (- 0) into 0 12.519 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify (+ 0 0) into 0 12.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.522 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 12.522 * [backup-simplify]: Simplify (- 0) into 0 12.522 * [backup-simplify]: Simplify (+ 0 0) into 0 12.524 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 12.524 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 12.524 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 12.524 * [taylor]: Taking taylor expansion of 2 in n 12.524 * [backup-simplify]: Simplify 2 into 2 12.524 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 12.524 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.524 * [taylor]: Taking taylor expansion of -1 in n 12.524 * [backup-simplify]: Simplify -1 into -1 12.524 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.525 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.525 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.525 * [taylor]: Taking taylor expansion of n in n 12.525 * [backup-simplify]: Simplify 0 into 0 12.525 * [backup-simplify]: Simplify 1 into 1 12.525 * [backup-simplify]: Simplify (* 1 1) into 1 12.526 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.529 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.530 * [backup-simplify]: Simplify (- 0) into 0 12.530 * [backup-simplify]: Simplify 0 into 0 12.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify (+ 0 0) into 0 12.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.536 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 12.536 * [backup-simplify]: Simplify (- 0) into 0 12.536 * [backup-simplify]: Simplify (+ 0 0) into 0 12.538 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 12.538 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 12.538 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 12.538 * [taylor]: Taking taylor expansion of 2 in n 12.538 * [backup-simplify]: Simplify 2 into 2 12.538 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 12.538 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.538 * [taylor]: Taking taylor expansion of -1 in n 12.538 * [backup-simplify]: Simplify -1 into -1 12.539 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.539 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.539 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.539 * [taylor]: Taking taylor expansion of n in n 12.539 * [backup-simplify]: Simplify 0 into 0 12.539 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify (* 1 1) into 1 12.540 * [backup-simplify]: Simplify (* 1 1) into 1 12.540 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.549 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.550 * [backup-simplify]: Simplify (- 0) into 0 12.550 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 12.551 * [backup-simplify]: Simplify (cbrt (* (* (- (+ (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)))) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 12.552 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 12.552 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 12.552 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 12.552 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.552 * [taylor]: Taking taylor expansion of -1 in n 12.552 * [backup-simplify]: Simplify -1 into -1 12.552 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.553 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.553 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.553 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.553 * [taylor]: Taking taylor expansion of f in n 12.553 * [backup-simplify]: Simplify f into f 12.553 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.553 * [taylor]: Taking taylor expansion of n in n 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.554 * [backup-simplify]: Simplify (/ 1 1) into 1 12.554 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.554 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.554 * [taylor]: Taking taylor expansion of f in n 12.554 * [backup-simplify]: Simplify f into f 12.554 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.554 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.554 * [taylor]: Taking taylor expansion of n in n 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.554 * [backup-simplify]: Simplify (/ 1 1) into 1 12.555 * [backup-simplify]: Simplify (+ 0 1) into 1 12.556 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 12.556 * [backup-simplify]: Simplify (- 1) into -1 12.556 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.557 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 12.557 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 12.557 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 12.557 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.558 * [taylor]: Taking taylor expansion of -1 in f 12.558 * [backup-simplify]: Simplify -1 into -1 12.558 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.559 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.559 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.559 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.559 * [taylor]: Taking taylor expansion of f in f 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 1 into 1 12.559 * [backup-simplify]: Simplify (/ 1 1) into 1 12.559 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.559 * [taylor]: Taking taylor expansion of n in f 12.559 * [backup-simplify]: Simplify n into n 12.559 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.559 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.559 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.559 * [taylor]: Taking taylor expansion of f in f 12.559 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [backup-simplify]: Simplify (/ 1 1) into 1 12.560 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.560 * [taylor]: Taking taylor expansion of n in f 12.560 * [backup-simplify]: Simplify n into n 12.560 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.560 * [backup-simplify]: Simplify (+ 1 0) into 1 12.561 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 12.562 * [backup-simplify]: Simplify (+ 1 0) into 1 12.563 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.563 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 12.563 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 12.563 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.563 * [taylor]: Taking taylor expansion of -1 in f 12.563 * [backup-simplify]: Simplify -1 into -1 12.563 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.564 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.564 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.564 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.564 * [taylor]: Taking taylor expansion of f in f 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify 1 into 1 12.565 * [backup-simplify]: Simplify (/ 1 1) into 1 12.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.565 * [taylor]: Taking taylor expansion of n in f 12.565 * [backup-simplify]: Simplify n into n 12.565 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.565 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.565 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.565 * [taylor]: Taking taylor expansion of f in f 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 1 into 1 12.565 * [backup-simplify]: Simplify (/ 1 1) into 1 12.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.565 * [taylor]: Taking taylor expansion of n in f 12.565 * [backup-simplify]: Simplify n into n 12.566 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.566 * [backup-simplify]: Simplify (+ 1 0) into 1 12.567 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 12.567 * [backup-simplify]: Simplify (+ 1 0) into 1 12.568 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.568 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.568 * [taylor]: Taking taylor expansion of -1 in n 12.568 * [backup-simplify]: Simplify -1 into -1 12.569 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.570 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.570 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.571 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.572 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 12.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.573 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.573 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.574 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 12.574 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 12.574 * [taylor]: Taking taylor expansion of 2 in n 12.575 * [backup-simplify]: Simplify 2 into 2 12.575 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 12.575 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.575 * [taylor]: Taking taylor expansion of -1 in n 12.575 * [backup-simplify]: Simplify -1 into -1 12.575 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.576 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.576 * [taylor]: Taking taylor expansion of n in n 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.577 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.579 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.580 * [backup-simplify]: Simplify (+ 0 0) into 0 12.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.583 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 12.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.584 * [backup-simplify]: Simplify (- 0) into 0 12.585 * [backup-simplify]: Simplify (+ 0 0) into 0 12.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 12.587 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 12.587 * [taylor]: Taking taylor expansion of 2 in n 12.587 * [backup-simplify]: Simplify 2 into 2 12.587 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 12.587 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.587 * [taylor]: Taking taylor expansion of -1 in n 12.587 * [backup-simplify]: Simplify -1 into -1 12.588 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.588 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.588 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.588 * [taylor]: Taking taylor expansion of n in n 12.588 * [backup-simplify]: Simplify 0 into 0 12.588 * [backup-simplify]: Simplify 1 into 1 12.589 * [backup-simplify]: Simplify (* 1 1) into 1 12.590 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.597 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.601 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.601 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.603 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.604 * [backup-simplify]: Simplify (+ 0 0) into 0 12.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.607 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.609 * [backup-simplify]: Simplify (- 0) into 0 12.609 * [backup-simplify]: Simplify (+ 0 0) into 0 12.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 12.612 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 12.612 * [taylor]: Taking taylor expansion of 2 in n 12.612 * [backup-simplify]: Simplify 2 into 2 12.612 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 12.612 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.612 * [taylor]: Taking taylor expansion of -1 in n 12.612 * [backup-simplify]: Simplify -1 into -1 12.621 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.622 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.623 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.623 * [taylor]: Taking taylor expansion of n in n 12.623 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify 1 into 1 12.623 * [backup-simplify]: Simplify (* 1 1) into 1 12.624 * [backup-simplify]: Simplify (* 1 1) into 1 12.625 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.640 * [backup-simplify]: Simplify (cbrt (* (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- f)) (/ 1 (- n))) (pow (- (/ 1 (- f)) (/ 1 (- n))) 3)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.640 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.640 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.640 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.640 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.640 * [taylor]: Taking taylor expansion of f in n 12.640 * [backup-simplify]: Simplify f into f 12.640 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.640 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.640 * [taylor]: Taking taylor expansion of n in n 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [backup-simplify]: Simplify (/ 1 1) into 1 12.640 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.640 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.640 * [taylor]: Taking taylor expansion of n in n 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.641 * [backup-simplify]: Simplify (/ 1 1) into 1 12.641 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.641 * [taylor]: Taking taylor expansion of f in n 12.641 * [backup-simplify]: Simplify f into f 12.641 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.641 * [backup-simplify]: Simplify (+ 0 1) into 1 12.642 * [backup-simplify]: Simplify (+ 1 0) into 1 12.642 * [backup-simplify]: Simplify (/ 1 1) into 1 12.642 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.642 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.642 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.642 * [taylor]: Taking taylor expansion of f in f 12.642 * [backup-simplify]: Simplify 0 into 0 12.642 * [backup-simplify]: Simplify 1 into 1 12.643 * [backup-simplify]: Simplify (/ 1 1) into 1 12.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.643 * [taylor]: Taking taylor expansion of n in f 12.643 * [backup-simplify]: Simplify n into n 12.643 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.643 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.643 * [taylor]: Taking taylor expansion of n in f 12.643 * [backup-simplify]: Simplify n into n 12.643 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.643 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.643 * [taylor]: Taking taylor expansion of f in f 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.644 * [backup-simplify]: Simplify (/ 1 1) into 1 12.644 * [backup-simplify]: Simplify (+ 1 0) into 1 12.644 * [backup-simplify]: Simplify (- 1) into -1 12.645 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.645 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.645 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.645 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.645 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.645 * [taylor]: Taking taylor expansion of f in f 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.646 * [backup-simplify]: Simplify (/ 1 1) into 1 12.646 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.646 * [taylor]: Taking taylor expansion of n in f 12.646 * [backup-simplify]: Simplify n into n 12.646 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.646 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.646 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.646 * [taylor]: Taking taylor expansion of n in f 12.646 * [backup-simplify]: Simplify n into n 12.646 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.646 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.646 * [taylor]: Taking taylor expansion of f in f 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 1 into 1 12.647 * [backup-simplify]: Simplify (/ 1 1) into 1 12.647 * [backup-simplify]: Simplify (+ 1 0) into 1 12.647 * [backup-simplify]: Simplify (- 1) into -1 12.648 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.648 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.648 * [taylor]: Taking taylor expansion of -1 in n 12.648 * [backup-simplify]: Simplify -1 into -1 12.648 * [backup-simplify]: Simplify -1 into -1 12.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.649 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.650 * [backup-simplify]: Simplify (- 0) into 0 12.651 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.651 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.651 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.651 * [taylor]: Taking taylor expansion of 2 in n 12.651 * [backup-simplify]: Simplify 2 into 2 12.651 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.651 * [taylor]: Taking taylor expansion of n in n 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify 1 into 1 12.651 * [backup-simplify]: Simplify (/ 1 1) into 1 12.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.653 * [backup-simplify]: Simplify (- 0) into 0 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 0 into 0 12.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.655 * [backup-simplify]: Simplify (+ 0 0) into 0 12.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.656 * [backup-simplify]: Simplify (- 0) into 0 12.657 * [backup-simplify]: Simplify (+ 0 0) into 0 12.658 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.658 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.658 * [taylor]: Taking taylor expansion of 2 in n 12.658 * [backup-simplify]: Simplify 2 into 2 12.658 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.658 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.658 * [taylor]: Taking taylor expansion of n in n 12.658 * [backup-simplify]: Simplify 0 into 0 12.658 * [backup-simplify]: Simplify 1 into 1 12.659 * [backup-simplify]: Simplify (* 1 1) into 1 12.659 * [backup-simplify]: Simplify (/ 1 1) into 1 12.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.663 * [backup-simplify]: Simplify (- 0) into 0 12.664 * [backup-simplify]: Simplify 0 into 0 12.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.666 * [backup-simplify]: Simplify (- 0) into 0 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify 0 into 0 12.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.667 * [backup-simplify]: Simplify (+ 0 0) into 0 12.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.669 * [backup-simplify]: Simplify (- 0) into 0 12.670 * [backup-simplify]: Simplify (+ 0 0) into 0 12.672 * [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)))) 12.672 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.672 * [taylor]: Taking taylor expansion of 2 in n 12.672 * [backup-simplify]: Simplify 2 into 2 12.672 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.672 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.672 * [taylor]: Taking taylor expansion of n in n 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 1 into 1 12.672 * [backup-simplify]: Simplify (* 1 1) into 1 12.673 * [backup-simplify]: Simplify (* 1 1) into 1 12.673 * [backup-simplify]: Simplify (/ 1 1) into 1 12.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.682 * [backup-simplify]: Simplify (- 0) into 0 12.682 * [backup-simplify]: Simplify 0 into 0 12.682 * [backup-simplify]: Simplify -1 into -1 12.682 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.682 * [backup-simplify]: Simplify (* (- (+ f n)) (+ f n)) into (* -1 (pow (+ n f) 2)) 12.682 * [approximate]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in (f n) around 0 12.682 * [taylor]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in n 12.682 * [taylor]: Taking taylor expansion of -1 in n 12.682 * [backup-simplify]: Simplify -1 into -1 12.682 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 12.683 * [taylor]: Taking taylor expansion of (+ n f) in n 12.683 * [taylor]: Taking taylor expansion of n in n 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 1 into 1 12.683 * [taylor]: Taking taylor expansion of f in n 12.683 * [backup-simplify]: Simplify f into f 12.683 * [backup-simplify]: Simplify (+ 0 f) into f 12.683 * [taylor]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in f 12.683 * [taylor]: Taking taylor expansion of -1 in f 12.683 * [backup-simplify]: Simplify -1 into -1 12.683 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 12.683 * [taylor]: Taking taylor expansion of (+ n f) in f 12.683 * [taylor]: Taking taylor expansion of n in f 12.683 * [backup-simplify]: Simplify n into n 12.683 * [taylor]: Taking taylor expansion of f in f 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 1 into 1 12.683 * [backup-simplify]: Simplify (+ n 0) into n 12.683 * [taylor]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in f 12.683 * [taylor]: Taking taylor expansion of -1 in f 12.683 * [backup-simplify]: Simplify -1 into -1 12.683 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 12.683 * [taylor]: Taking taylor expansion of (+ n f) in f 12.683 * [taylor]: Taking taylor expansion of n in f 12.683 * [backup-simplify]: Simplify n into n 12.683 * [taylor]: Taking taylor expansion of f in f 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 1 into 1 12.683 * [backup-simplify]: Simplify (+ n 0) into n 12.683 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.684 * [backup-simplify]: Simplify (* -1 (pow n 2)) into (* -1 (pow n 2)) 12.684 * [taylor]: Taking taylor expansion of (* -1 (pow n 2)) in n 12.684 * [taylor]: Taking taylor expansion of -1 in n 12.684 * [backup-simplify]: Simplify -1 into -1 12.684 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.684 * [taylor]: Taking taylor expansion of n in n 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.685 * [backup-simplify]: Simplify (+ 0 1) into 1 12.685 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 12.685 * [backup-simplify]: Simplify (+ (* -1 (* 2 n)) (* 0 (pow n 2))) into (- (* 2 n)) 12.685 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 12.685 * [taylor]: Taking taylor expansion of (* 2 n) in n 12.685 * [taylor]: Taking taylor expansion of 2 in n 12.685 * [backup-simplify]: Simplify 2 into 2 12.685 * [taylor]: Taking taylor expansion of n in n 12.685 * [backup-simplify]: Simplify 0 into 0 12.685 * [backup-simplify]: Simplify 1 into 1 12.686 * [backup-simplify]: Simplify (* 2 0) into 0 12.686 * [backup-simplify]: Simplify (- 0) into 0 12.686 * [backup-simplify]: Simplify 0 into 0 12.686 * [backup-simplify]: Simplify (+ 0 0) into 0 12.687 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 12.687 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2)))) into (- 1) 12.687 * [taylor]: Taking taylor expansion of (- 1) in n 12.687 * [taylor]: Taking taylor expansion of 1 in n 12.688 * [backup-simplify]: Simplify 1 into 1 12.688 * [backup-simplify]: Simplify (- 1) into -1 12.688 * [backup-simplify]: Simplify -1 into -1 12.689 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 12.689 * [backup-simplify]: Simplify (- 2) into -2 12.689 * [backup-simplify]: Simplify -2 into -2 12.690 * [backup-simplify]: Simplify (* 1 1) into 1 12.690 * [backup-simplify]: Simplify (* -1 1) into -1 12.690 * [backup-simplify]: Simplify -1 into -1 12.691 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* -1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2)))) 12.691 * [backup-simplify]: Simplify (* (- (+ (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) 12.691 * [approximate]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 12.691 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in n 12.691 * [taylor]: Taking taylor expansion of -1 in n 12.691 * [backup-simplify]: Simplify -1 into -1 12.691 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 12.691 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.691 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.691 * [taylor]: Taking taylor expansion of f in n 12.691 * [backup-simplify]: Simplify f into f 12.692 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.692 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.692 * [taylor]: Taking taylor expansion of n in n 12.692 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify 1 into 1 12.692 * [backup-simplify]: Simplify (/ 1 1) into 1 12.693 * [backup-simplify]: Simplify (+ 0 1) into 1 12.693 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.693 * [taylor]: Taking taylor expansion of -1 in f 12.693 * [backup-simplify]: Simplify -1 into -1 12.693 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.693 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.693 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.693 * [taylor]: Taking taylor expansion of f in f 12.693 * [backup-simplify]: Simplify 0 into 0 12.693 * [backup-simplify]: Simplify 1 into 1 12.693 * [backup-simplify]: Simplify (/ 1 1) into 1 12.693 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.693 * [taylor]: Taking taylor expansion of n in f 12.693 * [backup-simplify]: Simplify n into n 12.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.694 * [backup-simplify]: Simplify (+ 1 0) into 1 12.694 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.694 * [taylor]: Taking taylor expansion of -1 in f 12.694 * [backup-simplify]: Simplify -1 into -1 12.694 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.694 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.694 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.694 * [taylor]: Taking taylor expansion of f in f 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [backup-simplify]: Simplify 1 into 1 12.695 * [backup-simplify]: Simplify (/ 1 1) into 1 12.695 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.695 * [taylor]: Taking taylor expansion of n in f 12.695 * [backup-simplify]: Simplify n into n 12.695 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.695 * [backup-simplify]: Simplify (+ 1 0) into 1 12.696 * [backup-simplify]: Simplify (* 1 1) into 1 12.696 * [backup-simplify]: Simplify (* -1 1) into -1 12.696 * [taylor]: Taking taylor expansion of -1 in n 12.696 * [backup-simplify]: Simplify -1 into -1 12.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.697 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.697 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.698 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.698 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.698 * [taylor]: Taking taylor expansion of 2 in n 12.698 * [backup-simplify]: Simplify 2 into 2 12.698 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.698 * [taylor]: Taking taylor expansion of n in n 12.698 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify 1 into 1 12.698 * [backup-simplify]: Simplify (/ 1 1) into 1 12.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.700 * [backup-simplify]: Simplify (+ 0 0) into 0 12.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.701 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (/ 1 (pow n 2))) 12.701 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 12.701 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.701 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.702 * [taylor]: Taking taylor expansion of n in n 12.702 * [backup-simplify]: Simplify 0 into 0 12.702 * [backup-simplify]: Simplify 1 into 1 12.702 * [backup-simplify]: Simplify (* 1 1) into 1 12.702 * [backup-simplify]: Simplify (/ 1 1) into 1 12.703 * [backup-simplify]: Simplify (- 1) into -1 12.703 * [backup-simplify]: Simplify -1 into -1 12.703 * [backup-simplify]: Simplify (* 2 1) into 2 12.703 * [backup-simplify]: Simplify (- 2) into -2 12.704 * [backup-simplify]: Simplify -2 into -2 12.704 * [backup-simplify]: Simplify -1 into -1 12.704 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (+ (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f)))) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2)))) into (- (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2)))) 12.705 * [backup-simplify]: Simplify (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) 12.705 * [approximate]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 12.705 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in n 12.705 * [taylor]: Taking taylor expansion of -1 in n 12.705 * [backup-simplify]: Simplify -1 into -1 12.705 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 12.705 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.705 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.705 * [taylor]: Taking taylor expansion of f in n 12.705 * [backup-simplify]: Simplify f into f 12.705 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.705 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.705 * [taylor]: Taking taylor expansion of n in n 12.705 * [backup-simplify]: Simplify 0 into 0 12.705 * [backup-simplify]: Simplify 1 into 1 12.706 * [backup-simplify]: Simplify (/ 1 1) into 1 12.706 * [backup-simplify]: Simplify (+ 0 1) into 1 12.706 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.706 * [taylor]: Taking taylor expansion of -1 in f 12.706 * [backup-simplify]: Simplify -1 into -1 12.706 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.706 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.706 * [taylor]: Taking taylor expansion of f in f 12.706 * [backup-simplify]: Simplify 0 into 0 12.706 * [backup-simplify]: Simplify 1 into 1 12.707 * [backup-simplify]: Simplify (/ 1 1) into 1 12.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.707 * [taylor]: Taking taylor expansion of n in f 12.707 * [backup-simplify]: Simplify n into n 12.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.707 * [backup-simplify]: Simplify (+ 1 0) into 1 12.707 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.707 * [taylor]: Taking taylor expansion of -1 in f 12.707 * [backup-simplify]: Simplify -1 into -1 12.707 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.707 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.707 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.707 * [taylor]: Taking taylor expansion of f in f 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify 1 into 1 12.708 * [backup-simplify]: Simplify (/ 1 1) into 1 12.708 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.708 * [taylor]: Taking taylor expansion of n in f 12.708 * [backup-simplify]: Simplify n into n 12.708 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.709 * [backup-simplify]: Simplify (+ 1 0) into 1 12.709 * [backup-simplify]: Simplify (* 1 1) into 1 12.710 * [backup-simplify]: Simplify (* -1 1) into -1 12.710 * [taylor]: Taking taylor expansion of -1 in n 12.710 * [backup-simplify]: Simplify -1 into -1 12.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.710 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.711 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.711 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.711 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.711 * [taylor]: Taking taylor expansion of 2 in n 12.712 * [backup-simplify]: Simplify 2 into 2 12.712 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.712 * [taylor]: Taking taylor expansion of n in n 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify 1 into 1 12.712 * [backup-simplify]: Simplify (/ 1 1) into 1 12.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.714 * [backup-simplify]: Simplify (+ 0 0) into 0 12.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.715 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (/ 1 (pow n 2))) 12.715 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 12.715 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.716 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.716 * [taylor]: Taking taylor expansion of n in n 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify 1 into 1 12.716 * [backup-simplify]: Simplify (* 1 1) into 1 12.716 * [backup-simplify]: Simplify (/ 1 1) into 1 12.717 * [backup-simplify]: Simplify (- 1) into -1 12.717 * [backup-simplify]: Simplify -1 into -1 12.717 * [backup-simplify]: Simplify (* 2 1) into 2 12.718 * [backup-simplify]: Simplify (- 2) into -2 12.718 * [backup-simplify]: Simplify -2 into -2 12.718 * [backup-simplify]: Simplify -1 into -1 12.718 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f))))) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2)))) into (- (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2)))) 12.719 * * * [progress]: simplifying candidates 12.727 * [simplify]: Simplifying: (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))) (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))) (+ (+ (log (- (+ f n))) (log (+ f n))) (- (log (+ f n)) (* (log (- f n)) 3))) (+ (+ (log (- (+ f n))) (log (+ f n))) (- (log (+ f n)) (* (log (- f n)) 3))) (+ (+ (log (- (+ f n))) (log (+ f n))) (- (log (+ f n)) (log (pow (- f n) 3)))) (+ (+ (log (- (+ f n))) (log (+ f n))) (log (/ (+ f n) (pow (- f n) 3)))) (+ (log (* (- (+ f n)) (+ f n))) (- (log (+ f n)) (* (log (- f n)) 3))) (+ (log (* (- (+ f n)) (+ f n))) (- (log (+ f n)) (* (log (- f n)) 3))) (+ (log (* (- (+ f n)) (+ f n))) (- (log (+ f n)) (log (pow (- f n) 3)))) (+ (log (* (- (+ f n)) (+ f n))) (log (/ (+ f n) (pow (- f n) 3)))) (log (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (exp (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (* (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (+ f n) (+ f n)) (+ f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (pow (- f n) 3) (pow (- f n) 3)) (pow (- f n) 3)))) (* (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (/ (+ f n) (pow (- f n) 3)) (/ (+ f n) (pow (- f n) 3))) (/ (+ f n) (pow (- f n) 3)))) (* (* (* (* (- (+ f n)) (+ f n)) (* (- (+ f n)) (+ f n))) (* (- (+ f n)) (+ f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (pow (- f n) 3) (pow (- f n) 3)) (pow (- f n) 3)))) (* (* (* (* (- (+ f n)) (+ f n)) (* (- (+ f n)) (+ f n))) (* (- (+ f n)) (+ f n))) (* (* (/ (+ f n) (pow (- f n) 3)) (/ (+ f n) (pow (- f n) 3))) (/ (+ f n) (pow (- f n) 3)))) (* (cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))))) (cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (* (* (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))) (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (sqrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (sqrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (* (* (- (+ (pow f 3) (pow n 3))) (+ (pow f 3) (pow n 3))) (+ f n)) (* (* (+ (* f f) (- (* n n) (* f n))) (+ (* f f) (- (* n n) (* f n)))) (pow (- f n) 3)) (* (* (- (+ (pow f 3) (pow n 3))) (- (* f f) (* n n))) (+ f n)) (* (* (+ (* f f) (- (* n n) (* f n))) (- f n)) (pow (- f n) 3)) (* (* (- (- (* f f) (* n n))) (+ (pow f 3) (pow n 3))) (+ f n)) (* (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (pow (- f n) 3)) (* (* (- (- (* f f) (* n n))) (- (* f f) (* n n))) (+ f n)) (* (* (- f n) (- f n)) (pow (- f n) 3)) (* (* (- (+ f n)) (+ (pow f 3) (pow n 3))) (+ f n)) (* (+ (* f f) (- (* n n) (* f n))) (pow (- f n) 3)) (* (* (- (+ f n)) (- (* f f) (* n n))) (+ f n)) (* (- f n) (pow (- f n) 3)) (* (* (- (+ (pow f 3) (pow n 3))) (+ f n)) (+ f n)) (* (+ (* f f) (- (* n n) (* f n))) (pow (- f n) 3)) (* (* (- (- (* f f) (* n n))) (+ f n)) (+ f n)) (* (- f n) (pow (- f n) 3)) (* (* (+ f n) (+ f n)) (/ (+ f n) (pow (- f n) 3))) (* (* (- (+ f n)) (+ f n)) (* (cbrt (/ (+ f n) (pow (- f n) 3))) (cbrt (/ (+ f n) (pow (- f n) 3))))) (* (* (- (+ f n)) (+ f n)) (sqrt (/ (+ f n) (pow (- f n) 3)))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow (* (cbrt (- f n)) (cbrt (- f n))) 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow (sqrt (- f n)) 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow 1 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow (+ (sqrt f) (sqrt n)) 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow 1 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (- f n) (- f n)))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (pow (- f n) 3)) (cbrt (pow (- f n) 3))))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow (* (cbrt (- f n)) (cbrt (- f n))) 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow (sqrt (- f n)) 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow 1 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow (+ (sqrt f) (sqrt n)) 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (pow 1 3))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (- f n))) (* (* (- (+ f n)) (+ f n)) (/ (* (cbrt (+ f n)) 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[simplify]: Extracting # 3 : cost 0 12.744 * * [simplify]: Extracting # 4 : cost 0 12.744 * * [simplify]: Extracting # 5 : cost 0 12.745 * * [simplify]: Extracting # 6 : cost 0 12.746 * * [simplify]: Extracting # 7 : cost 0 12.747 * * [simplify]: Extracting # 8 : cost 0 12.748 * * [simplify]: iteration 0 : 294 enodes (cost 5678 ) 12.878 * * [simplify]: Extracting # 0 : cost 0 12.881 * * [simplify]: Extracting # 1 : cost 0 12.890 * * [simplify]: Extracting # 2 : cost 0 12.892 * * [simplify]: Extracting # 3 : cost 0 12.894 * * [simplify]: Extracting # 4 : cost 0 12.896 * * [simplify]: Extracting # 5 : cost 0 12.899 * * [simplify]: iteration 1 : 850 enodes (cost 5110 ) 13.880 * * [simplify]: Extracting # 0 : cost 0 13.885 * * [simplify]: Extracting # 1 : cost 0 13.891 * * [simplify]: Extracting # 2 : cost 0 13.897 * * [simplify]: Extracting # 3 : cost 0 13.903 * * [simplify]: Extracting # 4 : cost 0 13.913 * * [simplify]: iteration 2 : 4881 enodes (cost 4587 ) 15.779 * * [simplify]: 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table 16.608 * [progress]: [Phase 3 of 3] Extracting. 16.609 * * [regime]: Finding splitpoints for: (# # # #) 16.610 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 16.611 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 16.628 * * * * [regimes]: Trying to branch on n from (# # # #) 16.654 * * * * [regimes]: Trying to branch on f from (# # # #) 16.682 * * * [regime]: Found split indices: #