1.058 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.097 * [progress]: [Phase 2 of 3] Improving. 0.101 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.102 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.103 * * [simplify]: Extracting # 2 : cost 0 0.103 * * [simplify]: Extracting # 3 : cost 0 0.103 * * [simplify]: Extracting # 4 : cost 0 0.103 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.112 * * [simplify]: Extracting # 0 : cost 0 0.112 * * [simplify]: Extracting # 1 : cost 0 0.112 * * [simplify]: Extracting # 2 : cost 0 0.112 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.120 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.129 * * [simplify]: Extracting # 1 : cost 0 0.129 * * [simplify]: Extracting # 2 : cost 0 0.129 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.137 * * [simplify]: Extracting # 2 : cost 0 0.137 * * [simplify]: iteration 5 : 30 enodes (cost 8 ) 0.146 * * [simplify]: Extracting # 0 : cost 0 0.146 * * [simplify]: iteration 6 : 32 enodes (cost 8 ) 0.155 * * [simplify]: Extracting # 0 : cost 0 0.155 * * [simplify]: iteration done: 32 enodes (cost 8 ) 0.198 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.200 * * [progress]: iteration 1 / 4 0.201 * * * [progress]: picking best candidate 0.203 * * * * [pick]: Picked # 0.203 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.266 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.266 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.267 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.267 * [taylor]: Taking taylor expansion of -1 in n 0.267 * [backup-simplify]: Simplify -1 into -1 0.267 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.267 * [taylor]: Taking taylor expansion of (+ n f) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of f in n 0.267 * [backup-simplify]: Simplify f into f 0.267 * [taylor]: Taking taylor expansion of (- f n) in n 0.267 * [taylor]: Taking taylor expansion of f in n 0.267 * [backup-simplify]: Simplify f into f 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ 0 f) into f 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ f 0) into f 0.269 * [backup-simplify]: Simplify (/ f f) into 1 0.269 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.269 * [taylor]: Taking taylor expansion of -1 in f 0.269 * [backup-simplify]: Simplify -1 into -1 0.269 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.269 * [taylor]: Taking taylor expansion of (+ n f) in f 0.269 * [taylor]: Taking taylor expansion of n in f 0.269 * [backup-simplify]: Simplify n into n 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 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 0.269 * [backup-simplify]: Simplify n into n 0.269 * [backup-simplify]: Simplify (+ n 0) into n 0.269 * [backup-simplify]: Simplify (- n) into (- n) 0.269 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.269 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.269 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.269 * [taylor]: Taking taylor expansion of -1 in f 0.269 * [backup-simplify]: Simplify -1 into -1 0.269 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.269 * [taylor]: Taking taylor expansion of (+ n f) in f 0.269 * [taylor]: Taking taylor expansion of n in f 0.269 * [backup-simplify]: Simplify n into n 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 0.270 * [taylor]: Taking taylor expansion of (- f n) in f 0.270 * [taylor]: Taking taylor expansion of f in f 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of n in f 0.270 * [backup-simplify]: Simplify n into n 0.270 * [backup-simplify]: Simplify (+ n 0) into n 0.270 * [backup-simplify]: Simplify (- n) into (- n) 0.270 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.270 * [backup-simplify]: Simplify (/ n (- n)) 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 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.273 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.273 * [taylor]: Taking taylor expansion of 2 in n 0.273 * [backup-simplify]: Simplify 2 into 2 0.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.278 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.278 * [taylor]: Taking taylor expansion of 2 in n 0.278 * [backup-simplify]: Simplify 2 into 2 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.279 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [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)))) 0.304 * [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))) 0.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.304 * [taylor]: Taking taylor expansion of 2 in n 0.304 * [backup-simplify]: Simplify 2 into 2 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.304 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.316 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.316 * [taylor]: Taking taylor expansion of -1 in n 0.316 * [backup-simplify]: Simplify -1 into -1 0.316 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.316 * [taylor]: Taking taylor expansion of f in n 0.316 * [backup-simplify]: Simplify f into f 0.316 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.317 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.317 * [taylor]: Taking taylor expansion of f in n 0.317 * [backup-simplify]: Simplify f into f 0.317 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 (+ 0 1) into 1 0.318 * [backup-simplify]: Simplify (- 1) into -1 0.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.319 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.319 * [taylor]: Taking taylor expansion of -1 in f 0.319 * [backup-simplify]: Simplify -1 into -1 0.319 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.320 * [taylor]: Taking taylor expansion of n in f 0.320 * [backup-simplify]: Simplify n into n 0.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.320 * [taylor]: Taking taylor expansion of f in f 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.321 * [taylor]: Taking taylor expansion of n in f 0.321 * [backup-simplify]: Simplify n into n 0.321 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.322 * [backup-simplify]: Simplify (+ 1 0) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.322 * [taylor]: Taking taylor expansion of -1 in f 0.322 * [backup-simplify]: Simplify -1 into -1 0.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.322 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.323 * [taylor]: Taking taylor expansion of n in f 0.323 * [backup-simplify]: Simplify n into n 0.323 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.323 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.324 * [taylor]: Taking taylor expansion of n in f 0.324 * [backup-simplify]: Simplify n into n 0.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (* -1 1) into -1 0.325 * [taylor]: Taking taylor expansion of -1 in n 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [backup-simplify]: Simplify -1 into -1 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.327 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.327 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.327 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.327 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.327 * [taylor]: Taking taylor expansion of 2 in n 0.327 * [backup-simplify]: Simplify 2 into 2 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.332 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.332 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.332 * [taylor]: Taking taylor expansion of 2 in n 0.332 * [backup-simplify]: Simplify 2 into 2 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.332 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [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))) 0.340 * [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)))) 0.340 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.340 * [taylor]: Taking taylor expansion of 2 in n 0.340 * [backup-simplify]: Simplify 2 into 2 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.340 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [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 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify -1 into -1 0.347 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.347 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.347 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.347 * [taylor]: Taking taylor expansion of f in n 0.347 * [backup-simplify]: Simplify f into f 0.347 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.347 * [taylor]: Taking taylor expansion of n in n 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.347 * [taylor]: Taking taylor expansion of n in n 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.348 * [taylor]: Taking taylor expansion of f in n 0.348 * [backup-simplify]: Simplify f into f 0.348 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.348 * [backup-simplify]: Simplify (+ 0 1) into 1 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.348 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.349 * [taylor]: Taking taylor expansion of f in f 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.349 * [taylor]: Taking taylor expansion of n in f 0.349 * [backup-simplify]: Simplify n into n 0.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.349 * [taylor]: Taking taylor expansion of n in f 0.349 * [backup-simplify]: Simplify n into n 0.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.349 * [taylor]: Taking taylor expansion of f in f 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.350 * [backup-simplify]: Simplify (- 1) into -1 0.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.350 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.350 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.350 * [taylor]: Taking taylor expansion of f in f 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.351 * [taylor]: Taking taylor expansion of n in f 0.351 * [backup-simplify]: Simplify n into n 0.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.351 * [taylor]: Taking taylor expansion of n in f 0.351 * [backup-simplify]: Simplify n into n 0.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.351 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.351 * [taylor]: Taking taylor expansion of f in f 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.352 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.352 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.352 * [taylor]: Taking taylor expansion of -1 in n 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [backup-simplify]: Simplify -1 into -1 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.354 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.354 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.354 * [taylor]: Taking taylor expansion of 2 in n 0.354 * [backup-simplify]: Simplify 2 into 2 0.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.358 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.358 * [taylor]: Taking taylor expansion of 2 in n 0.358 * [backup-simplify]: Simplify 2 into 2 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.358 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [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)))) 0.366 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.366 * [taylor]: Taking taylor expansion of 2 in n 0.366 * [backup-simplify]: Simplify 2 into 2 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.366 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * * * [progress]: simplifying candidates 0.376 * [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 0.378 * * [simplify]: Extracting # 0 : cost 0 0.378 * * [simplify]: Extracting # 1 : cost 0 0.378 * * [simplify]: Extracting # 2 : cost 0 0.379 * * [simplify]: Extracting # 3 : cost 0 0.379 * * [simplify]: Extracting # 4 : cost 0 0.379 * * [simplify]: Extracting # 5 : cost 0 0.379 * * [simplify]: Extracting # 6 : cost 0 0.379 * * [simplify]: Extracting # 7 : cost 0 0.379 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.424 * * [simplify]: Extracting # 0 : cost 0 0.425 * * [simplify]: Extracting # 1 : cost 0 0.426 * * [simplify]: Extracting # 2 : cost 0 0.426 * * [simplify]: Extracting # 3 : cost 0 0.427 * * [simplify]: Extracting # 4 : cost 0 0.428 * * [simplify]: iteration 1 : 311 enodes (cost 1378 ) 0.532 * * [simplify]: Extracting # 0 : cost 0 0.534 * * [simplify]: Extracting # 1 : cost 0 0.537 * * [simplify]: Extracting # 2 : cost 0 0.539 * * [simplify]: Extracting # 3 : cost 0 0.542 * * [simplify]: iteration 2 : 1060 enodes (cost 1348 ) 0.883 * * [simplify]: Extracting # 0 : cost 0 0.894 * * [simplify]: Extracting # 1 : cost 0 0.900 * * [simplify]: Extracting # 2 : cost 0 0.906 * * [simplify]: Extracting # 3 : cost 0 0.912 * * [simplify]: Extracting # 4 : cost 0 0.921 * * [simplify]: Extracting # 5 : cost 0 0.926 * * [simplify]: iteration done: 5000 enodes (cost 1341 ) 0.927 * [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))) (+ n f) (- (- f n)) 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 0.929 * * * [progress]: adding candidates to table 1.186 * * [progress]: iteration 2 / 4 1.186 * * * [progress]: picking best candidate 1.198 * * * * [pick]: Picked # 1.199 * * * [progress]: localizing error 1.207 * * * [progress]: generating rewritten candidates 1.207 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.292 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.309 * * * [progress]: generating series expansions 1.309 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.309 * [backup-simplify]: Simplify (* (- (+ f n)) (/ 1 (- f n))) into (* -1 (/ (+ n f) (- f n))) 1.309 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.309 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.309 * [taylor]: Taking taylor expansion of -1 in n 1.309 * [backup-simplify]: Simplify -1 into -1 1.309 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.309 * [taylor]: Taking taylor expansion of (+ n f) in n 1.309 * [taylor]: Taking taylor expansion of n in n 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [taylor]: Taking taylor expansion of f in n 1.309 * [backup-simplify]: Simplify f into f 1.309 * [taylor]: Taking taylor expansion of (- f n) in n 1.309 * [taylor]: Taking taylor expansion of f in n 1.309 * [backup-simplify]: Simplify f into f 1.309 * [taylor]: Taking taylor expansion of n in n 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (+ 0 f) into f 1.310 * [backup-simplify]: Simplify (- 0) into 0 1.310 * [backup-simplify]: Simplify (+ f 0) into f 1.310 * [backup-simplify]: Simplify (/ f f) into 1 1.310 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.310 * [taylor]: Taking taylor expansion of -1 in f 1.310 * [backup-simplify]: Simplify -1 into -1 1.310 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.310 * [taylor]: Taking taylor expansion of (+ n f) in f 1.310 * [taylor]: Taking taylor expansion of n in f 1.310 * [backup-simplify]: Simplify n into n 1.310 * [taylor]: Taking taylor expansion of f in f 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [taylor]: Taking taylor expansion of (- f n) in f 1.310 * [taylor]: Taking taylor expansion of f in f 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [taylor]: Taking taylor expansion of n in f 1.310 * [backup-simplify]: Simplify n into n 1.310 * [backup-simplify]: Simplify (+ n 0) into n 1.310 * [backup-simplify]: Simplify (- n) into (- n) 1.310 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.310 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.310 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.310 * [taylor]: Taking taylor expansion of -1 in f 1.311 * [backup-simplify]: Simplify -1 into -1 1.311 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.311 * [taylor]: Taking taylor expansion of (+ n f) in f 1.311 * [taylor]: Taking taylor expansion of n in f 1.311 * [backup-simplify]: Simplify n into n 1.311 * [taylor]: Taking taylor expansion of f in f 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [taylor]: Taking taylor expansion of (- f n) in f 1.311 * [taylor]: Taking taylor expansion of f in f 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [taylor]: Taking taylor expansion of n in f 1.311 * [backup-simplify]: Simplify n into n 1.311 * [backup-simplify]: Simplify (+ n 0) into n 1.311 * [backup-simplify]: Simplify (- n) into (- n) 1.311 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.311 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.311 * [backup-simplify]: Simplify (* -1 -1) into 1 1.311 * [taylor]: Taking taylor expansion of 1 in n 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (+ 0 1) into 1 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ 1 0) into 1 1.312 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.312 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.312 * [taylor]: Taking taylor expansion of 2 in n 1.313 * [backup-simplify]: Simplify 2 into 2 1.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.313 * [taylor]: Taking taylor expansion of n in n 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.315 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.315 * [taylor]: Taking taylor expansion of 2 in n 1.315 * [backup-simplify]: Simplify 2 into 2 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.315 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.315 * [taylor]: Taking taylor expansion of n in n 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [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)))) 1.321 * [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))) 1.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.321 * [taylor]: Taking taylor expansion of 2 in n 1.321 * [backup-simplify]: Simplify 2 into 2 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.321 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.321 * [taylor]: Taking taylor expansion of n in n 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.322 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* (- (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.327 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.327 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.327 * [taylor]: Taking taylor expansion of -1 in n 1.327 * [backup-simplify]: Simplify -1 into -1 1.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.327 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.327 * [taylor]: Taking taylor expansion of f in n 1.327 * [backup-simplify]: Simplify f into f 1.327 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.328 * [taylor]: Taking taylor expansion of n in n 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.328 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.328 * [taylor]: Taking taylor expansion of f in n 1.328 * [backup-simplify]: Simplify f into f 1.328 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.328 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.328 * [taylor]: Taking taylor expansion of n in n 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [backup-simplify]: Simplify (+ 0 1) into 1 1.329 * [backup-simplify]: Simplify (- 1) into -1 1.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.329 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.329 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.329 * [taylor]: Taking taylor expansion of -1 in f 1.329 * [backup-simplify]: Simplify -1 into -1 1.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.330 * [taylor]: Taking taylor expansion of f in f 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (/ 1 1) into 1 1.330 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.330 * [taylor]: Taking taylor expansion of n in f 1.330 * [backup-simplify]: Simplify n into n 1.330 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.330 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.330 * [taylor]: Taking taylor expansion of f in f 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.331 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.331 * [taylor]: Taking taylor expansion of n in f 1.331 * [backup-simplify]: Simplify n into n 1.331 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.331 * [backup-simplify]: Simplify (+ 1 0) into 1 1.332 * [backup-simplify]: Simplify (+ 1 0) into 1 1.332 * [backup-simplify]: Simplify (/ 1 1) into 1 1.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.332 * [taylor]: Taking taylor expansion of -1 in f 1.332 * [backup-simplify]: Simplify -1 into -1 1.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.332 * [taylor]: Taking taylor expansion of f in f 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (/ 1 1) into 1 1.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.333 * [taylor]: Taking taylor expansion of n in f 1.333 * [backup-simplify]: Simplify n into n 1.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.333 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.333 * [taylor]: Taking taylor expansion of f in f 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (/ 1 1) into 1 1.334 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.334 * [taylor]: Taking taylor expansion of n in f 1.334 * [backup-simplify]: Simplify n into n 1.334 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.334 * [backup-simplify]: Simplify (+ 1 0) into 1 1.335 * [backup-simplify]: Simplify (+ 1 0) into 1 1.335 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [backup-simplify]: Simplify (* -1 1) into -1 1.336 * [taylor]: Taking taylor expansion of -1 in n 1.336 * [backup-simplify]: Simplify -1 into -1 1.336 * [backup-simplify]: Simplify -1 into -1 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.338 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.338 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.338 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.338 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.338 * [taylor]: Taking taylor expansion of 2 in n 1.338 * [backup-simplify]: Simplify 2 into 2 1.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.338 * [taylor]: Taking taylor expansion of n in n 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (/ 1 1) into 1 1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.343 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.343 * [taylor]: Taking taylor expansion of 2 in n 1.343 * [backup-simplify]: Simplify 2 into 2 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.343 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.343 * [taylor]: Taking taylor expansion of n in n 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (* 1 1) into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.349 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.351 * [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)))) 1.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.351 * [taylor]: Taking taylor expansion of 2 in n 1.351 * [backup-simplify]: Simplify 2 into 2 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.351 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (* 1 1) into 1 1.352 * [backup-simplify]: Simplify (* 1 1) into 1 1.352 * [backup-simplify]: Simplify (/ 1 1) into 1 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify -1 into -1 1.358 * [backup-simplify]: Simplify (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.359 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.359 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.359 * [taylor]: Taking taylor expansion of f in n 1.359 * [backup-simplify]: Simplify f into f 1.359 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (/ 1 1) into 1 1.359 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (/ 1 1) into 1 1.359 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.359 * [taylor]: Taking taylor expansion of f in n 1.359 * [backup-simplify]: Simplify f into f 1.359 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.360 * [backup-simplify]: Simplify (+ 0 1) into 1 1.360 * [backup-simplify]: Simplify (+ 1 0) into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.360 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.360 * [taylor]: Taking taylor expansion of f in f 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (/ 1 1) into 1 1.361 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.361 * [taylor]: Taking taylor expansion of n in f 1.361 * [backup-simplify]: Simplify n into n 1.361 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.361 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.361 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.361 * [taylor]: Taking taylor expansion of n in f 1.361 * [backup-simplify]: Simplify n into n 1.361 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.361 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.361 * [taylor]: Taking taylor expansion of f in f 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (/ 1 1) into 1 1.361 * [backup-simplify]: Simplify (+ 1 0) into 1 1.362 * [backup-simplify]: Simplify (- 1) into -1 1.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.363 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.363 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.363 * [taylor]: Taking taylor expansion of f in f 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (/ 1 1) into 1 1.363 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.363 * [taylor]: Taking taylor expansion of n in f 1.363 * [backup-simplify]: Simplify n into n 1.363 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.363 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.363 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.363 * [taylor]: Taking taylor expansion of n in f 1.363 * [backup-simplify]: Simplify n into n 1.363 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.363 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.363 * [taylor]: Taking taylor expansion of f in f 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [backup-simplify]: Simplify (+ 1 0) into 1 1.365 * [backup-simplify]: Simplify (- 1) into -1 1.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.370 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.370 * [taylor]: Taking taylor expansion of -1 in n 1.370 * [backup-simplify]: Simplify -1 into -1 1.370 * [backup-simplify]: Simplify -1 into -1 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.372 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.372 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.372 * [taylor]: Taking taylor expansion of 2 in n 1.372 * [backup-simplify]: Simplify 2 into 2 1.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.372 * [taylor]: Taking taylor expansion of n in n 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (/ 1 1) into 1 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (- 0) into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.379 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.379 * [taylor]: Taking taylor expansion of 2 in n 1.379 * [backup-simplify]: Simplify 2 into 2 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.379 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.379 * [taylor]: Taking taylor expansion of n in n 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (* 1 1) into 1 1.380 * [backup-simplify]: Simplify (/ 1 1) into 1 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.392 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.392 * [taylor]: Taking taylor expansion of 2 in n 1.392 * [backup-simplify]: Simplify 2 into 2 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.392 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.392 * [taylor]: Taking taylor expansion of n in n 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (* 1 1) into 1 1.393 * [backup-simplify]: Simplify (* 1 1) into 1 1.393 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify -1 into -1 1.403 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.403 * [backup-simplify]: Simplify (/ 1 (- f n)) into (/ 1 (- f n)) 1.403 * [approximate]: Taking taylor expansion of (/ 1 (- f n)) in (f n) around 0 1.403 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 1.403 * [taylor]: Taking taylor expansion of (- f n) in n 1.403 * [taylor]: Taking taylor expansion of f in n 1.403 * [backup-simplify]: Simplify f into f 1.403 * [taylor]: Taking taylor expansion of n in n 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [backup-simplify]: Simplify (+ f 0) into f 1.404 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.404 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 1.404 * [taylor]: Taking taylor expansion of (- f n) in f 1.404 * [taylor]: Taking taylor expansion of f in f 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [taylor]: Taking taylor expansion of n in f 1.404 * [backup-simplify]: Simplify n into n 1.404 * [backup-simplify]: Simplify (- n) into (- n) 1.404 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.404 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 1.404 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 1.404 * [taylor]: Taking taylor expansion of (- f n) in f 1.404 * [taylor]: Taking taylor expansion of f in f 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [taylor]: Taking taylor expansion of n in f 1.404 * [backup-simplify]: Simplify n into n 1.404 * [backup-simplify]: Simplify (- n) into (- n) 1.404 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.405 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 1.405 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.405 * [taylor]: Taking taylor expansion of -1 in n 1.405 * [backup-simplify]: Simplify -1 into -1 1.405 * [taylor]: Taking taylor expansion of n in n 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (/ -1 1) into -1 1.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ 1 0) into 1 1.407 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 1.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.407 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.407 * [taylor]: Taking taylor expansion of n in n 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (* 1 1) into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- 0) into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 1.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 3))) in n 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.411 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (* 1 1) into 1 1.412 * [backup-simplify]: Simplify (/ 1 1) into 1 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- 0) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (/ 1 (- (/ 1 f) (/ 1 n))) into (/ 1 (- (/ 1 f) (/ 1 n))) 1.419 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.419 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 1.419 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.419 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.419 * [taylor]: Taking taylor expansion of f in n 1.419 * [backup-simplify]: Simplify f into f 1.419 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.419 * [taylor]: Taking taylor expansion of n in n 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (/ 1 1) into 1 1.419 * [backup-simplify]: Simplify (- 1) into -1 1.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.420 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.420 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 1.420 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.420 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.420 * [taylor]: Taking taylor expansion of f in f 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (/ 1 1) into 1 1.420 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.420 * [taylor]: Taking taylor expansion of n in f 1.420 * [backup-simplify]: Simplify n into n 1.420 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.421 * [backup-simplify]: Simplify (+ 1 0) into 1 1.421 * [backup-simplify]: Simplify (/ 1 1) into 1 1.421 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 1.421 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.421 * [taylor]: Taking taylor expansion of f in f 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (/ 1 1) into 1 1.421 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.421 * [taylor]: Taking taylor expansion of n in f 1.421 * [backup-simplify]: Simplify n into n 1.421 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.422 * [backup-simplify]: Simplify (+ 1 0) into 1 1.422 * [backup-simplify]: Simplify (/ 1 1) into 1 1.422 * [taylor]: Taking taylor expansion of 1 in n 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.423 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 1.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.423 * [taylor]: Taking taylor expansion of n in n 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (/ 1 1) into 1 1.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.427 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.427 * [taylor]: Taking taylor expansion of n in n 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.427 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (/ 1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (- (/ 1 n) (/ 1 f))) 1.431 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.431 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 1.432 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.432 * [taylor]: Taking taylor expansion of n in n 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.432 * [taylor]: Taking taylor expansion of f in n 1.432 * [backup-simplify]: Simplify f into f 1.432 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.432 * [backup-simplify]: Simplify (+ 1 0) into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 1.432 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.433 * [taylor]: Taking taylor expansion of n in f 1.433 * [backup-simplify]: Simplify n into n 1.433 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.433 * [taylor]: Taking taylor expansion of f in f 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [backup-simplify]: Simplify (- 1) into -1 1.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.434 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.434 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 1.434 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.434 * [taylor]: Taking taylor expansion of n in f 1.434 * [backup-simplify]: Simplify n into n 1.434 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.434 * [taylor]: Taking taylor expansion of f in f 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (/ 1 1) into 1 1.435 * [backup-simplify]: Simplify (- 1) into -1 1.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.436 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.436 * [taylor]: Taking taylor expansion of -1 in n 1.436 * [backup-simplify]: Simplify -1 into -1 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.438 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 1.438 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.438 * [taylor]: Taking taylor expansion of n in n 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (/ 1 1) into 1 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 1.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.443 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (- 0) into 0 1.449 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (- 0) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * * * [progress]: simplifying candidates 1.452 * [simplify]: Simplifying: (* (- (+ f n)) (/ 1 (- f n))) (+ (log (- (+ f n))) (- (log (- f n)))) (+ (log (- (+ f n))) (- 0 (log (- f n)))) (+ (log (- (+ f n))) (- (log 1) (log (- f n)))) (+ (log (- (+ f n))) (log (/ 1 (- f n)))) (log (* (- (+ f n)) (/ 1 (- f n)))) (exp (* (- (+ f n)) (/ 1 (- f n)))) (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (/ 1 (- f n)) (/ 1 (- f n))) (/ 1 (- f n)))) (* (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (cbrt (* (- (+ f n)) (/ 1 (- f n))))) (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (* (* (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n)))) (* (- (+ f n)) (/ 1 (- f n)))) (sqrt (* (- (+ f n)) (/ 1 (- f n)))) (sqrt (* (- (+ f n)) (/ 1 (- f n)))) (* (- (+ (pow f 3) (pow n 3))) 1) (* (+ (* f f) (- (* n n) (* f n))) (- f n)) (* (- (- (* f f) (* n n))) 1) (* (- f n) (- f n)) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ 1 (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ 1 (sqrt (- f n)))) (* (+ f n) (/ 1 (- f n))) (* (- (+ f n)) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n))))) (* (- (+ f n)) (sqrt (/ 1 (- f n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- f n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (+ f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ (sqrt 1) (sqrt (- f n)))) (* (- (+ f n)) (/ (sqrt 1) 1)) (* (- (+ f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ (sqrt 1) 1)) (* (- (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ 1 (sqrt (- f n)))) (* (- (+ f n)) (/ 1 1)) (* (- (+ f n)) (/ 1 (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ 1 1)) (* (- (+ f n)) 1) (* (- (+ f n)) 1) (* (- (+ f n)) (/ 1 (- (pow f 3) (pow n 3)))) (* (- (+ f n)) (/ 1 (- (* f f) (* n n)))) (* (cbrt (- (+ f n))) (/ 1 (- f n))) (* (sqrt (- (+ f n))) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (cbrt (+ f n)) (/ 1 (- f n))) (* (sqrt (+ f n)) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (- (cbrt (+ f n))) (/ 1 (- f n))) (* (- (sqrt (+ f n))) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) 1) (* (- (+ (pow f 3) (pow n 3))) (/ 1 (- f n))) (* (- (- (* f f) (* n n))) (/ 1 (- f n))) (- 1) (- (log (- f n))) (- 0 (log (- f n))) (- (log 1) (log (- f n))) (log (/ 1 (- f n))) (exp (/ 1 (- f n))) (/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n)))) (cbrt (/ 1 (- f n))) (* (* (/ 1 (- f n)) (/ 1 (- f n))) (/ 1 (- f n))) (sqrt (/ 1 (- f n))) (sqrt (/ 1 (- f n))) (- 1) (- (- f n)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt 1) (cbrt (- f n))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- f n))) (/ (cbrt 1) (sqrt (- f n))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- f n)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt f) (sqrt n))) (/ (cbrt 1) (- (sqrt f) (sqrt n))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt 1) (cbrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt 1) 1) (/ (sqrt 1) (- f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n))) (/ (sqrt 1) (- (sqrt f) (sqrt n))) (/ (sqrt 1) 1) (/ (sqrt 1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 1) (/ 1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ 1 (- f n)) (/ 1 (- f n)) (/ (- f n) 1) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ 1 1) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 1) (/ (- f n) (cbrt 1)) (/ (- f n) (sqrt 1)) (/ (- f n) 1) (/ 1 (- (pow f 3) (pow n 3))) (/ 1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 1.453 * * [simplify]: Extracting # 0 : cost 0 1.453 * * [simplify]: Extracting # 1 : cost 0 1.454 * * [simplify]: Extracting # 2 : cost 0 1.454 * * [simplify]: Extracting # 3 : cost 0 1.454 * * [simplify]: Extracting # 4 : cost 0 1.454 * * [simplify]: Extracting # 5 : cost 0 1.454 * * [simplify]: Extracting # 6 : cost 0 1.454 * * [simplify]: iteration 0 : 132 enodes (cost 1167 ) 1.503 * * [simplify]: Extracting # 0 : cost 0 1.504 * * [simplify]: Extracting # 1 : cost 0 1.505 * * [simplify]: Extracting # 2 : cost 0 1.505 * * [simplify]: Extracting # 3 : cost 0 1.506 * * [simplify]: Extracting # 4 : cost 0 1.507 * * [simplify]: iteration 1 : 381 enodes (cost 1010 ) 1.847 * * [simplify]: Extracting # 0 : cost 0 1.854 * * [simplify]: Extracting # 1 : cost 0 1.860 * * [simplify]: Extracting # 2 : cost 0 1.871 * * [simplify]: Extracting # 3 : cost 0 1.877 * * [simplify]: Extracting # 4 : cost 0 1.883 * * [simplify]: Extracting # 5 : cost 0 1.888 * * [simplify]: Extracting # 6 : cost 0 1.893 * * [simplify]: iteration 2 : 2362 enodes (cost 869 ) 4.412 * * [simplify]: Extracting # 0 : cost 0 4.457 * * [simplify]: Extracting # 1 : cost 0 4.460 * * [simplify]: Extracting # 2 : cost 0 4.464 * * [simplify]: Extracting # 3 : cost 0 4.467 * * [simplify]: Extracting # 4 : cost 0 4.472 * * [simplify]: iteration done: 5000 enodes (cost 855 ) 4.473 * [simplify]: Simplified to: (- (/ (+ f n) (- f n))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (exp (/ (- (- f) n) (- f n))) (- (pow (/ (+ f n) (- f n)) 3)) (- (pow (/ (+ f n) (- f n)) 3)) (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n)))) (cbrt (/ (- (- f) n) (- f n))) (- (pow (/ (+ f n) (- f n)) 3)) (sqrt (/ (- (- f) n) (- f n))) (sqrt (/ (- (- f) n) (- f n))) (- (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* n (- n f)) (* f f))) (+ (- (* f f)) (* n n)) (* (- f n) (- f n)) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (+ f n) (- f n)) (* (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n)))) (- (- f) n)) (* (sqrt (/ 1 (- f n))) (- (- f) n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (- f) n) (+ (sqrt n) (sqrt f))) (- (+ f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (- f) n) (+ (sqrt n) (sqrt f))) (- (+ f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (- f) n) (+ (sqrt n) (sqrt f))) (- (+ f n)) (- (+ f n)) (- (+ f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (/ (- (- 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)) (/ (- (cbrt (+ f n))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (- (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (- (+ f n)) -1 (- (log (- f n))) (- (log (- f n))) (- (log (- f n))) (- (log (- f n))) (exp (/ 1 (- f n))) (pow (/ 1 (- f n)) 3) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n)))) (cbrt (/ 1 (- f n))) (pow (/ 1 (- f n)) 3) (sqrt (/ 1 (- f n))) (sqrt (/ 1 (- f n))) -1 (- (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ 1 (- f n)) (- f n) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (- f n) (- f n) (- f n) (/ 1 (- (pow f 3) (pow n 3))) (/ (/ 1 (+ f n)) (- f n)) 1 -1 -1 0 0 0 4.474 * * * [progress]: adding candidates to table 4.731 * * [progress]: iteration 3 / 4 4.731 * * * [progress]: picking best candidate 4.738 * * * * [pick]: Picked # 4.738 * * * [progress]: localizing error 4.757 * * * [progress]: generating rewritten candidates 4.757 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.877 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.063 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.126 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.185 * * * [progress]: generating series expansions 5.185 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.185 * [backup-simplify]: Simplify (* (/ (/ 1 (+ f n)) (- f n)) (+ f n)) into (/ 1 (- f n)) 5.185 * [approximate]: Taking taylor expansion of (/ 1 (- f n)) in (f n) around 0 5.185 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 5.185 * [taylor]: Taking taylor expansion of (- f n) in n 5.185 * [taylor]: Taking taylor expansion of f in n 5.185 * [backup-simplify]: Simplify f into f 5.185 * [taylor]: Taking taylor expansion of n in n 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (- 0) into 0 5.186 * [backup-simplify]: Simplify (+ f 0) into f 5.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.186 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.186 * [taylor]: Taking taylor expansion of (- f n) in f 5.186 * [taylor]: Taking taylor expansion of f in f 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [taylor]: Taking taylor expansion of n in f 5.186 * [backup-simplify]: Simplify n into n 5.186 * [backup-simplify]: Simplify (- n) into (- n) 5.186 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.186 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.186 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.186 * [taylor]: Taking taylor expansion of (- f n) in f 5.186 * [taylor]: Taking taylor expansion of f in f 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [taylor]: Taking taylor expansion of n in f 5.186 * [backup-simplify]: Simplify n into n 5.186 * [backup-simplify]: Simplify (- n) into (- n) 5.187 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.187 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.187 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.187 * [taylor]: Taking taylor expansion of -1 in n 5.187 * [backup-simplify]: Simplify -1 into -1 5.187 * [taylor]: Taking taylor expansion of n in n 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ -1 1) into -1 5.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify (- 0) into 0 5.188 * [backup-simplify]: Simplify (+ 1 0) into 1 5.188 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 5.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.188 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.188 * [taylor]: Taking taylor expansion of n in n 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (- 0) into 0 5.191 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify (- 0) into 0 5.192 * [backup-simplify]: Simplify (+ 0 0) into 0 5.193 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 5.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 3))) in n 5.193 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.193 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.193 * [taylor]: Taking taylor expansion of n in n 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.194 * [backup-simplify]: Simplify (/ 1 1) into 1 5.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (- 0) into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (- 0) into 0 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (* (/ (/ 1 (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (/ 1 (- (/ 1 f) (/ 1 n))) 5.201 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 5.201 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 5.201 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.201 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.201 * [taylor]: Taking taylor expansion of f in n 5.201 * [backup-simplify]: Simplify f into f 5.201 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.201 * [taylor]: Taking taylor expansion of n in n 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (/ 1 1) into 1 5.202 * [backup-simplify]: Simplify (- 1) into -1 5.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.202 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.202 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.202 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.202 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.202 * [taylor]: Taking taylor expansion of f in f 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.203 * [backup-simplify]: Simplify (/ 1 1) into 1 5.203 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.203 * [taylor]: Taking taylor expansion of n in f 5.203 * [backup-simplify]: Simplify n into n 5.203 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.203 * [backup-simplify]: Simplify (+ 1 0) into 1 5.203 * [backup-simplify]: Simplify (/ 1 1) into 1 5.203 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.203 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.203 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.203 * [taylor]: Taking taylor expansion of f in f 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.210 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.210 * [taylor]: Taking taylor expansion of n in f 5.210 * [backup-simplify]: Simplify n into n 5.210 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.211 * [backup-simplify]: Simplify (+ 1 0) into 1 5.211 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [taylor]: Taking taylor expansion of 1 in n 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.212 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 5.213 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.213 * [taylor]: Taking taylor expansion of n in n 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [backup-simplify]: Simplify (/ 1 1) into 1 5.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.217 * [backup-simplify]: Simplify (- 0) into 0 5.217 * [backup-simplify]: Simplify (+ 0 0) into 0 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 5.218 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.218 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.218 * [taylor]: Taking taylor expansion of n in n 5.218 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [backup-simplify]: Simplify (* 1 1) into 1 5.219 * [backup-simplify]: Simplify (/ 1 1) into 1 5.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify (* (/ (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (- (/ 1 n) (/ 1 f))) 5.227 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.227 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 5.227 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.227 * [taylor]: Taking taylor expansion of n in n 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.228 * [backup-simplify]: Simplify (/ 1 1) into 1 5.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.228 * [taylor]: Taking taylor expansion of f in n 5.228 * [backup-simplify]: Simplify f into f 5.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.229 * [backup-simplify]: Simplify (+ 1 0) into 1 5.229 * [backup-simplify]: Simplify (/ 1 1) into 1 5.229 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 5.229 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.229 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.229 * [taylor]: Taking taylor expansion of n in f 5.229 * [backup-simplify]: Simplify n into n 5.229 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.229 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.230 * [taylor]: Taking taylor expansion of f in f 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (/ 1 1) into 1 5.230 * [backup-simplify]: Simplify (- 1) into -1 5.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.231 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.231 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 5.231 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.231 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.231 * [taylor]: Taking taylor expansion of n in f 5.232 * [backup-simplify]: Simplify n into n 5.232 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.232 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.232 * [taylor]: Taking taylor expansion of f in f 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [backup-simplify]: Simplify (- 1) into -1 5.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.233 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.234 * [taylor]: Taking taylor expansion of -1 in n 5.234 * [backup-simplify]: Simplify -1 into -1 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (- 0) into 0 5.235 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.235 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 5.235 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.235 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.235 * [taylor]: Taking taylor expansion of n in n 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (/ 1 1) into 1 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (- 0) into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (- 0) into 0 5.240 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 5.241 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.241 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.241 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.241 * [taylor]: Taking taylor expansion of n in n 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 1 into 1 5.241 * [backup-simplify]: Simplify (* 1 1) into 1 5.242 * [backup-simplify]: Simplify (/ 1 1) into 1 5.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (- 0) into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (- 0) into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.246 * [backup-simplify]: Simplify (* (- (+ f n)) (* (/ (/ 1 (+ f n)) (- f n)) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 5.246 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.246 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.246 * [taylor]: Taking taylor expansion of -1 in n 5.246 * [backup-simplify]: Simplify -1 into -1 5.246 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.246 * [taylor]: Taking taylor expansion of (+ n f) in n 5.246 * [taylor]: Taking taylor expansion of n in n 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 1 into 1 5.246 * [taylor]: Taking taylor expansion of f in n 5.246 * [backup-simplify]: Simplify f into f 5.246 * [taylor]: Taking taylor expansion of (- f n) in n 5.246 * [taylor]: Taking taylor expansion of f in n 5.247 * [backup-simplify]: Simplify f into f 5.247 * [taylor]: Taking taylor expansion of n in n 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (+ 0 f) into f 5.247 * [backup-simplify]: Simplify (- 0) into 0 5.247 * [backup-simplify]: Simplify (+ f 0) into f 5.247 * [backup-simplify]: Simplify (/ f f) into 1 5.247 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.247 * [taylor]: Taking taylor expansion of -1 in f 5.247 * [backup-simplify]: Simplify -1 into -1 5.247 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.247 * [taylor]: Taking taylor expansion of (+ n f) in f 5.247 * [taylor]: Taking taylor expansion of n in f 5.247 * [backup-simplify]: Simplify n into n 5.247 * [taylor]: Taking taylor expansion of f in f 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [taylor]: Taking taylor expansion of (- f n) in f 5.247 * [taylor]: Taking taylor expansion of f in f 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [taylor]: Taking taylor expansion of n in f 5.247 * [backup-simplify]: Simplify n into n 5.247 * [backup-simplify]: Simplify (+ n 0) into n 5.247 * [backup-simplify]: Simplify (- n) into (- n) 5.247 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.247 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.247 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.247 * [taylor]: Taking taylor expansion of -1 in f 5.247 * [backup-simplify]: Simplify -1 into -1 5.247 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.247 * [taylor]: Taking taylor expansion of (+ n f) in f 5.247 * [taylor]: Taking taylor expansion of n in f 5.247 * [backup-simplify]: Simplify n into n 5.247 * [taylor]: Taking taylor expansion of f in f 5.247 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [taylor]: Taking taylor expansion of (- f n) in f 5.248 * [taylor]: Taking taylor expansion of f in f 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [taylor]: Taking taylor expansion of n in f 5.248 * [backup-simplify]: Simplify n into n 5.248 * [backup-simplify]: Simplify (+ n 0) into n 5.248 * [backup-simplify]: Simplify (- n) into (- n) 5.248 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.248 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.248 * [backup-simplify]: Simplify (* -1 -1) into 1 5.248 * [taylor]: Taking taylor expansion of 1 in n 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify (+ 0 1) into 1 5.249 * [backup-simplify]: Simplify (- 0) into 0 5.249 * [backup-simplify]: Simplify (+ 1 0) into 1 5.249 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.250 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.250 * [taylor]: Taking taylor expansion of 2 in n 5.250 * [backup-simplify]: Simplify 2 into 2 5.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.250 * [taylor]: Taking taylor expansion of n in n 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (/ 1 1) into 1 5.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.251 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.253 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.253 * [taylor]: Taking taylor expansion of 2 in n 5.253 * [backup-simplify]: Simplify 2 into 2 5.253 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.253 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.253 * [taylor]: Taking taylor expansion of n in n 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [backup-simplify]: Simplify (* 1 1) into 1 5.253 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (+ 0 0) into 0 5.258 * [backup-simplify]: Simplify (- 0) into 0 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.258 * [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)))) 5.259 * [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))) 5.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.259 * [taylor]: Taking taylor expansion of 2 in n 5.259 * [backup-simplify]: Simplify 2 into 2 5.259 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.259 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.259 * [taylor]: Taking taylor expansion of n in n 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (* 1 1) into 1 5.260 * [backup-simplify]: Simplify (* 1 1) into 1 5.260 * [backup-simplify]: Simplify (/ 1 1) into 1 5.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (* (- (+ (/ 1 f) (/ 1 n))) (* (/ (/ 1 (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.266 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.266 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.266 * [taylor]: Taking taylor expansion of -1 in n 5.266 * [backup-simplify]: Simplify -1 into -1 5.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.266 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.266 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.266 * [taylor]: Taking taylor expansion of f in n 5.266 * [backup-simplify]: Simplify f into f 5.266 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.266 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.266 * [taylor]: Taking taylor expansion of n in n 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.266 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.266 * [taylor]: Taking taylor expansion of f in n 5.266 * [backup-simplify]: Simplify f into f 5.266 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.266 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.266 * [taylor]: Taking taylor expansion of n in n 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (/ 1 1) into 1 5.267 * [backup-simplify]: Simplify (+ 0 1) into 1 5.267 * [backup-simplify]: Simplify (- 1) into -1 5.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.268 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.268 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.268 * [taylor]: Taking taylor expansion of -1 in f 5.268 * [backup-simplify]: Simplify -1 into -1 5.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.268 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.268 * [taylor]: Taking taylor expansion of f in f 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.268 * [taylor]: Taking taylor expansion of n in f 5.268 * [backup-simplify]: Simplify n into n 5.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.268 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.268 * [taylor]: Taking taylor expansion of f in f 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.269 * [backup-simplify]: Simplify (/ 1 1) into 1 5.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.269 * [taylor]: Taking taylor expansion of n in f 5.269 * [backup-simplify]: Simplify n into n 5.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.269 * [backup-simplify]: Simplify (+ 1 0) into 1 5.269 * [backup-simplify]: Simplify (+ 1 0) into 1 5.269 * [backup-simplify]: Simplify (/ 1 1) into 1 5.269 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.270 * [taylor]: Taking taylor expansion of -1 in f 5.270 * [backup-simplify]: Simplify -1 into -1 5.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.270 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.270 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.270 * [taylor]: Taking taylor expansion of f in f 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (/ 1 1) into 1 5.270 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.270 * [taylor]: Taking taylor expansion of n in f 5.270 * [backup-simplify]: Simplify n into n 5.270 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.270 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.270 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.270 * [taylor]: Taking taylor expansion of f in f 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (/ 1 1) into 1 5.270 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.270 * [taylor]: Taking taylor expansion of n in f 5.270 * [backup-simplify]: Simplify n into n 5.270 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.271 * [backup-simplify]: Simplify (+ 1 0) into 1 5.271 * [backup-simplify]: Simplify (+ 1 0) into 1 5.271 * [backup-simplify]: Simplify (/ 1 1) into 1 5.272 * [backup-simplify]: Simplify (* -1 1) into -1 5.272 * [taylor]: Taking taylor expansion of -1 in n 5.272 * [backup-simplify]: Simplify -1 into -1 5.272 * [backup-simplify]: Simplify -1 into -1 5.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.273 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.273 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.273 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.273 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.273 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.273 * [taylor]: Taking taylor expansion of 2 in n 5.273 * [backup-simplify]: Simplify 2 into 2 5.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.273 * [taylor]: Taking taylor expansion of n in n 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.274 * [backup-simplify]: Simplify (/ 1 1) into 1 5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.275 * [backup-simplify]: Simplify (- 0) into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.276 * [backup-simplify]: Simplify (+ 0 0) into 0 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.276 * [backup-simplify]: Simplify (- 0) into 0 5.277 * [backup-simplify]: Simplify (+ 0 0) into 0 5.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.278 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.278 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.278 * [taylor]: Taking taylor expansion of 2 in n 5.278 * [backup-simplify]: Simplify 2 into 2 5.278 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.278 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.278 * [taylor]: Taking taylor expansion of n in n 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [backup-simplify]: Simplify (* 1 1) into 1 5.279 * [backup-simplify]: Simplify (/ 1 1) into 1 5.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.281 * [backup-simplify]: Simplify (- 0) into 0 5.281 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.284 * [backup-simplify]: Simplify (- 0) into 0 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.285 * [backup-simplify]: Simplify (+ 0 0) into 0 5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.287 * [backup-simplify]: Simplify (- 0) into 0 5.287 * [backup-simplify]: Simplify (+ 0 0) into 0 5.289 * [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))) 5.290 * [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)))) 5.290 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.290 * [taylor]: Taking taylor expansion of 2 in n 5.290 * [backup-simplify]: Simplify 2 into 2 5.290 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.290 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.291 * [taylor]: Taking taylor expansion of n in n 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (* 1 1) into 1 5.291 * [backup-simplify]: Simplify (* 1 1) into 1 5.292 * [backup-simplify]: Simplify (/ 1 1) into 1 5.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (- 0) into 0 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify -1 into -1 5.302 * [backup-simplify]: Simplify (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (* (/ (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.302 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.302 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.302 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.302 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.302 * [taylor]: Taking taylor expansion of f in n 5.302 * [backup-simplify]: Simplify f into f 5.302 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.302 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.302 * [taylor]: Taking taylor expansion of n in n 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.303 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.303 * [taylor]: Taking taylor expansion of n in n 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.303 * [taylor]: Taking taylor expansion of f in n 5.304 * [backup-simplify]: Simplify f into f 5.304 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.304 * [backup-simplify]: Simplify (+ 0 1) into 1 5.304 * [backup-simplify]: Simplify (+ 1 0) into 1 5.305 * [backup-simplify]: Simplify (/ 1 1) into 1 5.305 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.305 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.305 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.305 * [taylor]: Taking taylor expansion of f in f 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [backup-simplify]: Simplify (/ 1 1) into 1 5.305 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.305 * [taylor]: Taking taylor expansion of n in f 5.306 * [backup-simplify]: Simplify n into n 5.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.306 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.306 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.306 * [taylor]: Taking taylor expansion of n in f 5.306 * [backup-simplify]: Simplify n into n 5.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.306 * [taylor]: Taking taylor expansion of f in f 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [backup-simplify]: Simplify (/ 1 1) into 1 5.307 * [backup-simplify]: Simplify (+ 1 0) into 1 5.307 * [backup-simplify]: Simplify (- 1) into -1 5.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.308 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.308 * [taylor]: Taking taylor expansion of f in f 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.309 * [taylor]: Taking taylor expansion of n in f 5.309 * [backup-simplify]: Simplify n into n 5.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.309 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.309 * [taylor]: Taking taylor expansion of n in f 5.309 * [backup-simplify]: Simplify n into n 5.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.309 * [taylor]: Taking taylor expansion of f in f 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.310 * [backup-simplify]: Simplify (+ 1 0) into 1 5.310 * [backup-simplify]: Simplify (- 1) into -1 5.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.311 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.311 * [taylor]: Taking taylor expansion of -1 in n 5.311 * [backup-simplify]: Simplify -1 into -1 5.311 * [backup-simplify]: Simplify -1 into -1 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (- 0) into 0 5.313 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.314 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.314 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.314 * [taylor]: Taking taylor expansion of 2 in n 5.314 * [backup-simplify]: Simplify 2 into 2 5.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.314 * [taylor]: Taking taylor expansion of n in n 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.316 * [backup-simplify]: Simplify (- 0) into 0 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.318 * [backup-simplify]: Simplify (+ 0 0) into 0 5.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (- 0) into 0 5.320 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.321 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.321 * [taylor]: Taking taylor expansion of 2 in n 5.321 * [backup-simplify]: Simplify 2 into 2 5.321 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.321 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.321 * [taylor]: Taking taylor expansion of n in n 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 1 into 1 5.322 * [backup-simplify]: Simplify (* 1 1) into 1 5.322 * [backup-simplify]: Simplify (/ 1 1) into 1 5.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.327 * [backup-simplify]: Simplify (- 0) into 0 5.327 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.329 * [backup-simplify]: Simplify (- 0) into 0 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.331 * [backup-simplify]: Simplify (+ 0 0) into 0 5.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.332 * [backup-simplify]: Simplify (- 0) into 0 5.333 * [backup-simplify]: Simplify (+ 0 0) into 0 5.335 * [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)))) 5.335 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.335 * [taylor]: Taking taylor expansion of 2 in n 5.335 * [backup-simplify]: Simplify 2 into 2 5.335 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.335 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.335 * [taylor]: Taking taylor expansion of n in n 5.335 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify 1 into 1 5.335 * [backup-simplify]: Simplify (* 1 1) into 1 5.336 * [backup-simplify]: Simplify (* 1 1) into 1 5.336 * [backup-simplify]: Simplify (/ 1 1) into 1 5.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (- 0) into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify -1 into -1 5.350 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.350 * [backup-simplify]: Simplify (/ (/ 1 (+ f n)) (- f n)) into (/ 1 (* (+ n f) (- f n))) 5.350 * [approximate]: Taking taylor expansion of (/ 1 (* (+ n f) (- f n))) in (f n) around 0 5.350 * [taylor]: Taking taylor expansion of (/ 1 (* (+ n f) (- f n))) in n 5.350 * [taylor]: Taking taylor expansion of (* (+ n f) (- f n)) in n 5.350 * [taylor]: Taking taylor expansion of (+ n f) in n 5.350 * [taylor]: Taking taylor expansion of n in n 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify 1 into 1 5.350 * [taylor]: Taking taylor expansion of f in n 5.350 * [backup-simplify]: Simplify f into f 5.350 * [taylor]: Taking taylor expansion of (- f n) in n 5.350 * [taylor]: Taking taylor expansion of f in n 5.350 * [backup-simplify]: Simplify f into f 5.350 * [taylor]: Taking taylor expansion of n in n 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify 1 into 1 5.350 * [backup-simplify]: Simplify (+ 0 f) into f 5.351 * [backup-simplify]: Simplify (- 0) into 0 5.351 * [backup-simplify]: Simplify (+ f 0) into f 5.351 * [backup-simplify]: Simplify (* f f) into (pow f 2) 5.351 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 5.351 * [taylor]: Taking taylor expansion of (/ 1 (* (+ n f) (- f n))) in f 5.351 * [taylor]: Taking taylor expansion of (* (+ n f) (- f n)) in f 5.351 * [taylor]: Taking taylor expansion of (+ n f) in f 5.351 * [taylor]: Taking taylor expansion of n in f 5.351 * [backup-simplify]: Simplify n into n 5.351 * [taylor]: Taking taylor expansion of f in f 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [taylor]: Taking taylor expansion of (- f n) in f 5.352 * [taylor]: Taking taylor expansion of f in f 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [taylor]: Taking taylor expansion of n in f 5.352 * [backup-simplify]: Simplify n into n 5.352 * [backup-simplify]: Simplify (+ n 0) into n 5.352 * [backup-simplify]: Simplify (- n) into (- n) 5.352 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.352 * [backup-simplify]: Simplify (* n (- n)) into (* -1 (pow n 2)) 5.352 * [backup-simplify]: Simplify (/ 1 (* -1 (pow n 2))) into (/ -1 (pow n 2)) 5.352 * [taylor]: Taking taylor expansion of (/ 1 (* (+ n f) (- f n))) in f 5.352 * [taylor]: Taking taylor expansion of (* (+ n f) (- f n)) in f 5.352 * [taylor]: Taking taylor expansion of (+ n f) in f 5.352 * [taylor]: Taking taylor expansion of n in f 5.352 * [backup-simplify]: Simplify n into n 5.352 * [taylor]: Taking taylor expansion of f in f 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [taylor]: Taking taylor expansion of (- f n) in f 5.352 * [taylor]: Taking taylor expansion of f in f 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [taylor]: Taking taylor expansion of n in f 5.352 * [backup-simplify]: Simplify n into n 5.353 * [backup-simplify]: Simplify (+ n 0) into n 5.353 * [backup-simplify]: Simplify (- n) into (- n) 5.353 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.353 * [backup-simplify]: Simplify (* n (- n)) into (* -1 (pow n 2)) 5.353 * [backup-simplify]: Simplify (/ 1 (* -1 (pow n 2))) into (/ -1 (pow n 2)) 5.353 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 5.353 * [taylor]: Taking taylor expansion of -1 in n 5.353 * [backup-simplify]: Simplify -1 into -1 5.353 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.353 * [taylor]: Taking taylor expansion of n in n 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (* 1 1) into 1 5.354 * [backup-simplify]: Simplify (/ -1 1) into -1 5.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify (- 0) into 0 5.358 * [backup-simplify]: Simplify (+ 1 0) into 1 5.359 * [backup-simplify]: Simplify (+ 0 1) into 1 5.359 * [backup-simplify]: Simplify (+ (* n 1) (* 1 (- n))) into 0 5.359 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow n 2)) (/ 0 (* -1 (pow n 2)))))) into 0 5.359 * [taylor]: Taking taylor expansion of 0 in n 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (- 0) into 0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.363 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 (- n)))) into 1 5.364 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow n 2)) (/ 1 (* -1 (pow n 2)))) (* 0 (/ 0 (* -1 (pow n 2)))))) into (- (/ 1 (pow n 4))) 5.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 4))) in n 5.364 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 5.364 * [taylor]: Taking taylor expansion of (pow n 4) in n 5.364 * [taylor]: Taking taylor expansion of n in n 5.364 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify 1 into 1 5.365 * [backup-simplify]: Simplify (* 1 1) into 1 5.365 * [backup-simplify]: Simplify (* 1 1) into 1 5.365 * [backup-simplify]: Simplify (/ 1 1) into 1 5.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [backup-simplify]: Simplify (- 0) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify (/ (/ 1 (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (/ 1 (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 5.381 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.381 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 5.381 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 5.381 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.381 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.381 * [taylor]: Taking taylor expansion of f in n 5.381 * [backup-simplify]: Simplify f into f 5.381 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.381 * [taylor]: Taking taylor expansion of n in n 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (/ 1 1) into 1 5.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.382 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.382 * [taylor]: Taking taylor expansion of f in n 5.382 * [backup-simplify]: Simplify f into f 5.382 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.382 * [taylor]: Taking taylor expansion of n in n 5.382 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify 1 into 1 5.382 * [backup-simplify]: Simplify (/ 1 1) into 1 5.383 * [backup-simplify]: Simplify (- 1) into -1 5.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.383 * [backup-simplify]: Simplify (+ 0 1) into 1 5.384 * [backup-simplify]: Simplify (* -1 1) into -1 5.384 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.384 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.384 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.384 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.384 * [taylor]: Taking taylor expansion of f in f 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 1 into 1 5.385 * [backup-simplify]: Simplify (/ 1 1) into 1 5.385 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.385 * [taylor]: Taking taylor expansion of n in f 5.385 * [backup-simplify]: Simplify n into n 5.385 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.385 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.385 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.385 * [taylor]: Taking taylor expansion of f in f 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1 1) into 1 5.386 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.386 * [taylor]: Taking taylor expansion of n in f 5.386 * [backup-simplify]: Simplify n into n 5.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.386 * [backup-simplify]: Simplify (+ 1 0) into 1 5.387 * [backup-simplify]: Simplify (+ 1 0) into 1 5.387 * [backup-simplify]: Simplify (* 1 1) into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.387 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.387 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.387 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.388 * [taylor]: Taking taylor expansion of f in f 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [backup-simplify]: Simplify (/ 1 1) into 1 5.388 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.388 * [taylor]: Taking taylor expansion of n in f 5.388 * [backup-simplify]: Simplify n into n 5.388 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.388 * [taylor]: Taking taylor expansion of f in f 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (/ 1 1) into 1 5.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.389 * [taylor]: Taking taylor expansion of n in f 5.389 * [backup-simplify]: Simplify n into n 5.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.390 * [backup-simplify]: Simplify (+ 1 0) into 1 5.390 * [backup-simplify]: Simplify (+ 1 0) into 1 5.390 * [backup-simplify]: Simplify (* 1 1) into 1 5.391 * [backup-simplify]: Simplify (/ 1 1) into 1 5.391 * [taylor]: Taking taylor expansion of 1 in n 5.391 * [backup-simplify]: Simplify 1 into 1 5.391 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.393 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.393 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (- (/ 1 n)) 1)) into 0 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.394 * [taylor]: Taking taylor expansion of 0 in n 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.396 * [backup-simplify]: Simplify (+ 0 0) into 0 5.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.397 * [backup-simplify]: Simplify (- 0) into 0 5.397 * [backup-simplify]: Simplify (+ 0 0) into 0 5.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (/ 1 n)) (* 0 1))) into (- (/ 1 (pow n 2))) 5.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 (pow n 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow n 2)) 5.399 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.399 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.399 * [taylor]: Taking taylor expansion of n in n 5.399 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (* 1 1) into 1 5.400 * [backup-simplify]: Simplify (/ 1 1) into 1 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify (/ (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 5.408 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 5.408 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 5.408 * [taylor]: Taking taylor expansion of -1 in n 5.408 * [backup-simplify]: Simplify -1 into -1 5.408 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.409 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.409 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.409 * [taylor]: Taking taylor expansion of f in n 5.409 * [backup-simplify]: Simplify f into f 5.409 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.409 * [taylor]: Taking taylor expansion of n in n 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify (/ 1 1) into 1 5.409 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.409 * [taylor]: Taking taylor expansion of n in n 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify (/ 1 1) into 1 5.410 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.410 * [taylor]: Taking taylor expansion of f in n 5.410 * [backup-simplify]: Simplify f into f 5.410 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.410 * [backup-simplify]: Simplify (+ 0 1) into 1 5.411 * [backup-simplify]: Simplify (+ 1 0) into 1 5.411 * [backup-simplify]: Simplify (* 1 1) into 1 5.412 * [backup-simplify]: Simplify (/ -1 1) into -1 5.412 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.412 * [taylor]: Taking taylor expansion of -1 in f 5.412 * [backup-simplify]: Simplify -1 into -1 5.412 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.412 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.412 * [taylor]: Taking taylor expansion of f in f 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (/ 1 1) into 1 5.412 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.412 * [taylor]: Taking taylor expansion of n in f 5.412 * [backup-simplify]: Simplify n into n 5.412 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.413 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.413 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.413 * [taylor]: Taking taylor expansion of n in f 5.413 * [backup-simplify]: Simplify n into n 5.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.413 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.413 * [taylor]: Taking taylor expansion of f in f 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [backup-simplify]: Simplify (/ 1 1) into 1 5.414 * [backup-simplify]: Simplify (+ 1 0) into 1 5.414 * [backup-simplify]: Simplify (- 1) into -1 5.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.415 * [backup-simplify]: Simplify (* 1 -1) into -1 5.415 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.415 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.415 * [taylor]: Taking taylor expansion of -1 in f 5.415 * [backup-simplify]: Simplify -1 into -1 5.415 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.415 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.416 * [taylor]: Taking taylor expansion of f in f 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.416 * [taylor]: Taking taylor expansion of n in f 5.416 * [backup-simplify]: Simplify n into n 5.416 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.416 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.416 * [taylor]: Taking taylor expansion of n in f 5.416 * [backup-simplify]: Simplify n into n 5.416 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.416 * [taylor]: Taking taylor expansion of f in f 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (/ 1 1) into 1 5.417 * [backup-simplify]: Simplify (+ 1 0) into 1 5.418 * [backup-simplify]: Simplify (- 1) into -1 5.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.419 * [backup-simplify]: Simplify (* 1 -1) into -1 5.419 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.419 * [taylor]: Taking taylor expansion of 1 in n 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (- 0) into 0 5.420 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.422 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) -1)) into 0 5.422 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 5.422 * [taylor]: Taking taylor expansion of 0 in n 5.422 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.424 * [backup-simplify]: Simplify (- 0) into 0 5.424 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.426 * [backup-simplify]: Simplify (+ 0 0) into 0 5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 5.428 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow n 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow n 2)) 5.428 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.428 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.428 * [taylor]: Taking taylor expansion of n in n 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (* 1 1) into 1 5.429 * [backup-simplify]: Simplify (/ 1 1) into 1 5.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.437 * [backup-simplify]: Simplify (/ 1 (+ f n)) into (/ 1 (+ n f)) 5.437 * [approximate]: Taking taylor expansion of (/ 1 (+ n f)) in (f n) around 0 5.437 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in n 5.437 * [taylor]: Taking taylor expansion of (+ n f) in n 5.437 * [taylor]: Taking taylor expansion of n in n 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of f in n 5.437 * [backup-simplify]: Simplify f into f 5.437 * [backup-simplify]: Simplify (+ 0 f) into f 5.437 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.437 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 5.437 * [taylor]: Taking taylor expansion of (+ n f) in f 5.437 * [taylor]: Taking taylor expansion of n in f 5.437 * [backup-simplify]: Simplify n into n 5.437 * [taylor]: Taking taylor expansion of f in f 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (+ n 0) into n 5.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.437 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 5.437 * [taylor]: Taking taylor expansion of (+ n f) in f 5.437 * [taylor]: Taking taylor expansion of n in f 5.437 * [backup-simplify]: Simplify n into n 5.437 * [taylor]: Taking taylor expansion of f in f 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (+ n 0) into n 5.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.438 * [taylor]: Taking taylor expansion of n in n 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (/ 1 1) into 1 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify (+ 0 1) into 1 5.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.440 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.440 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.440 * [taylor]: Taking taylor expansion of n in n 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (* 1 1) into 1 5.441 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (- 0) into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.445 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify (+ 0 0) into 0 5.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.446 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.446 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.446 * [taylor]: Taking taylor expansion of n in n 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 1 into 1 5.447 * [backup-simplify]: Simplify (* 1 1) into 1 5.447 * [backup-simplify]: Simplify (* 1 1) into 1 5.447 * [backup-simplify]: Simplify (/ 1 1) into 1 5.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (- 0) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 f) (/ 1 n))) into (/ 1 (+ (/ 1 f) (/ 1 n))) 5.459 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 5.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.459 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.459 * [taylor]: Taking taylor expansion of f in n 5.459 * [backup-simplify]: Simplify f into f 5.459 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.459 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.459 * [taylor]: Taking taylor expansion of n in n 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.460 * [backup-simplify]: Simplify (/ 1 1) into 1 5.460 * [backup-simplify]: Simplify (+ 0 1) into 1 5.461 * [backup-simplify]: Simplify (/ 1 1) into 1 5.461 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 5.461 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.461 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.461 * [taylor]: Taking taylor expansion of f in f 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify 1 into 1 5.461 * [backup-simplify]: Simplify (/ 1 1) into 1 5.461 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.461 * [taylor]: Taking taylor expansion of n in f 5.461 * [backup-simplify]: Simplify n into n 5.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.462 * [backup-simplify]: Simplify (+ 1 0) into 1 5.462 * [backup-simplify]: Simplify (/ 1 1) into 1 5.462 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 5.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.462 * [taylor]: Taking taylor expansion of f in f 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (/ 1 1) into 1 5.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.463 * [taylor]: Taking taylor expansion of n in f 5.463 * [backup-simplify]: Simplify n into n 5.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.463 * [backup-simplify]: Simplify (+ 1 0) into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.464 * [taylor]: Taking taylor expansion of 1 in n 5.464 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.465 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.465 * [taylor]: Taking taylor expansion of n in n 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (/ 1 1) into 1 5.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (- 0) into 0 5.467 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.469 * [backup-simplify]: Simplify (+ 0 0) into 0 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.470 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.470 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.470 * [taylor]: Taking taylor expansion of n in n 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.471 * [backup-simplify]: Simplify (* 1 1) into 1 5.471 * [backup-simplify]: Simplify (/ 1 1) into 1 5.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.477 * [backup-simplify]: Simplify (- 0) into 0 5.477 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (+ (/ 1 f) (/ 1 n))) 5.478 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.478 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in n 5.478 * [taylor]: Taking taylor expansion of -1 in n 5.478 * [backup-simplify]: Simplify -1 into -1 5.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.478 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.478 * [taylor]: Taking taylor expansion of f in n 5.478 * [backup-simplify]: Simplify f into f 5.478 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.478 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.478 * [taylor]: Taking taylor expansion of n in n 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify (/ 1 1) into 1 5.479 * [backup-simplify]: Simplify (+ 0 1) into 1 5.479 * [backup-simplify]: Simplify (/ -1 1) into -1 5.480 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 5.480 * [taylor]: Taking taylor expansion of -1 in f 5.480 * [backup-simplify]: Simplify -1 into -1 5.480 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.480 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.480 * [taylor]: Taking taylor expansion of f in f 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.480 * [backup-simplify]: Simplify (/ 1 1) into 1 5.480 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.480 * [taylor]: Taking taylor expansion of n in f 5.480 * [backup-simplify]: Simplify n into n 5.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.481 * [backup-simplify]: Simplify (+ 1 0) into 1 5.481 * [backup-simplify]: Simplify (/ -1 1) into -1 5.481 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 5.481 * [taylor]: Taking taylor expansion of -1 in f 5.481 * [backup-simplify]: Simplify -1 into -1 5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.481 * [taylor]: Taking taylor expansion of f in f 5.481 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify 1 into 1 5.482 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.482 * [taylor]: Taking taylor expansion of n in f 5.482 * [backup-simplify]: Simplify n into n 5.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.482 * [backup-simplify]: Simplify (+ 1 0) into 1 5.483 * [backup-simplify]: Simplify (/ -1 1) into -1 5.483 * [taylor]: Taking taylor expansion of -1 in n 5.483 * [backup-simplify]: Simplify -1 into -1 5.483 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.484 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 n) 1)))) into (/ 1 n) 5.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.485 * [taylor]: Taking taylor expansion of n in n 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 1 into 1 5.485 * [backup-simplify]: Simplify (/ 1 1) into 1 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.488 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 n) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 2))) 5.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.490 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.490 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.490 * [taylor]: Taking taylor expansion of n in n 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (* 1 1) into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.497 * [backup-simplify]: Simplify (- 0) into 0 5.497 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * * * [progress]: simplifying candidates 5.510 * [simplify]: Simplifying: (* (/ (/ 1 (+ f n)) (- f n)) (+ f n)) (+ (- (- (log (+ f n))) (log (- f n))) (log (+ f n))) (+ (- (- 0 (log (+ f n))) (log (- f n))) (log (+ f n))) (+ (- (- (log 1) (log (+ f n))) (log (- f n))) (log (+ f n))) (+ (- (log (/ 1 (+ f n))) (log (- f n))) (log (+ f n))) (+ (log (/ (/ 1 (+ f n)) (- f n))) (log (+ f n))) (log (* (/ (/ 1 (+ f n)) (- f n)) (+ f n))) (exp (* (/ (/ 1 (+ f n)) (- f n)) (+ f n))) (* (/ (/ (* (* 1 1) 1) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (/ (* (* (/ 1 (+ f n)) (/ 1 (+ f n))) (/ 1 (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (* (/ (/ 1 (+ f n)) (- f n)) (/ (/ 1 (+ f n)) (- f n))) (/ (/ 1 (+ f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (* (/ (/ 1 (+ f n)) (- f n)) (+ f n))) (cbrt (* (/ (/ 1 (+ f n)) (- f n)) (+ f 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[simplify]: Extracting # 1 : cost 0 5.520 * * [simplify]: Extracting # 2 : cost 0 5.521 * * [simplify]: Extracting # 3 : cost 0 5.521 * * [simplify]: Extracting # 4 : cost 0 5.522 * * [simplify]: Extracting # 5 : cost 0 5.523 * * [simplify]: Extracting # 6 : cost 0 5.523 * * [simplify]: Extracting # 7 : cost 0 5.524 * * [simplify]: iteration 0 : 368 enodes (cost 6475 ) 5.752 * * [simplify]: Extracting # 0 : cost 0 5.757 * * [simplify]: Extracting # 1 : cost 0 5.761 * * [simplify]: Extracting # 2 : cost 0 5.764 * * [simplify]: Extracting # 3 : cost 0 5.768 * * [simplify]: Extracting # 4 : cost 0 5.772 * * [simplify]: iteration 1 : 1555 enodes (cost 5882 ) 6.419 * * [simplify]: Extracting # 0 : cost 0 6.429 * * [simplify]: Extracting # 1 : cost 0 6.446 * * [simplify]: Extracting # 2 : cost 0 6.456 * * [simplify]: Extracting # 3 : cost 0 6.463 * * [simplify]: Extracting # 4 : cost 0 6.478 * * [simplify]: Extracting # 5 : cost 0 6.490 * * [simplify]: iteration done: 5002 enodes (cost 5471 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(pow n 3))) (/ 1 (- (* f f) (* n n))) 0 0 0 1 -1 -1 0 0 0 0 0 0 6.499 * * * [progress]: adding candidates to table 7.481 * * [progress]: iteration 4 / 4 7.481 * * * [progress]: picking best candidate 7.483 * * * * [pick]: Picked # 7.483 * * * [progress]: localizing error 7.493 * * * [progress]: generating rewritten candidates 7.493 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.599 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.810 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 7.892 * * * [progress]: generating series expansions 7.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 7.892 * [backup-simplify]: Simplify (/ (- (- f) n) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.892 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.892 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.892 * [taylor]: Taking taylor expansion of -1 in n 7.892 * [backup-simplify]: Simplify -1 into -1 7.892 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.892 * [taylor]: Taking taylor expansion of (+ n f) in n 7.892 * [taylor]: Taking taylor expansion of n in n 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [taylor]: Taking taylor expansion of f in n 7.892 * [backup-simplify]: Simplify f into f 7.892 * [taylor]: Taking taylor expansion of (- f n) in n 7.892 * [taylor]: Taking taylor expansion of f in n 7.892 * [backup-simplify]: Simplify f into f 7.892 * [taylor]: Taking taylor expansion of n in n 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (+ 0 f) into f 7.893 * [backup-simplify]: Simplify (- 0) into 0 7.893 * [backup-simplify]: Simplify (+ f 0) into f 7.893 * [backup-simplify]: Simplify (/ f f) into 1 7.893 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.893 * [taylor]: Taking taylor expansion of -1 in f 7.893 * [backup-simplify]: Simplify -1 into -1 7.893 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.893 * [taylor]: Taking taylor expansion of (+ n f) in f 7.893 * [taylor]: Taking taylor expansion of n in f 7.893 * [backup-simplify]: Simplify n into n 7.893 * [taylor]: Taking taylor expansion of f in f 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [taylor]: Taking taylor expansion of (- f n) in f 7.893 * [taylor]: Taking taylor expansion of f in f 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [taylor]: Taking taylor expansion of n in f 7.893 * [backup-simplify]: Simplify n into n 7.893 * [backup-simplify]: Simplify (+ n 0) into n 7.893 * [backup-simplify]: Simplify (- n) into (- n) 7.893 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.893 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.893 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.893 * [taylor]: Taking taylor expansion of -1 in f 7.893 * [backup-simplify]: Simplify -1 into -1 7.893 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.893 * [taylor]: Taking taylor expansion of (+ n f) in f 7.893 * [taylor]: Taking taylor expansion of n in f 7.893 * [backup-simplify]: Simplify n into n 7.893 * [taylor]: Taking taylor expansion of f in f 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [taylor]: Taking taylor expansion of (- f n) in f 7.893 * [taylor]: Taking taylor expansion of f in f 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [taylor]: Taking taylor expansion of n in f 7.893 * [backup-simplify]: Simplify n into n 7.893 * [backup-simplify]: Simplify (+ n 0) into n 7.893 * [backup-simplify]: Simplify (- n) into (- n) 7.894 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.894 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.894 * [backup-simplify]: Simplify (* -1 -1) into 1 7.894 * [taylor]: Taking taylor expansion of 1 in n 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (+ 0 1) into 1 7.895 * [backup-simplify]: Simplify (- 0) into 0 7.895 * [backup-simplify]: Simplify (+ 1 0) into 1 7.895 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.895 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.895 * [taylor]: Taking taylor expansion of 2 in n 7.895 * [backup-simplify]: Simplify 2 into 2 7.895 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.895 * [taylor]: Taking taylor expansion of n in n 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1 into 1 7.896 * [backup-simplify]: Simplify (/ 1 1) into 1 7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.897 * [backup-simplify]: Simplify (- 0) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.898 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.898 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.898 * [taylor]: Taking taylor expansion of 2 in n 7.898 * [backup-simplify]: Simplify 2 into 2 7.898 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.898 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.898 * [taylor]: Taking taylor expansion of n in n 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (* 1 1) into 1 7.899 * [backup-simplify]: Simplify (/ 1 1) into 1 7.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.903 * [backup-simplify]: Simplify (- 0) into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.904 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.904 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.904 * [taylor]: Taking taylor expansion of 2 in n 7.904 * [backup-simplify]: Simplify 2 into 2 7.904 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.904 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.904 * [taylor]: Taking taylor expansion of n in n 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.905 * [backup-simplify]: Simplify (* 1 1) into 1 7.905 * [backup-simplify]: Simplify (* 1 1) into 1 7.905 * [backup-simplify]: Simplify (/ 1 1) into 1 7.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (/ (- (- (/ 1 f)) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.910 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.910 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.910 * [taylor]: Taking taylor expansion of -1 in n 7.910 * [backup-simplify]: Simplify -1 into -1 7.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.910 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.910 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.910 * [taylor]: Taking taylor expansion of f in n 7.910 * [backup-simplify]: Simplify f into f 7.910 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.911 * [taylor]: Taking taylor expansion of n in n 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (/ 1 1) into 1 7.911 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.911 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.911 * [taylor]: Taking taylor expansion of f in n 7.911 * [backup-simplify]: Simplify f into f 7.911 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.911 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.911 * [taylor]: Taking taylor expansion of n in n 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (/ 1 1) into 1 7.911 * [backup-simplify]: Simplify (+ 0 1) into 1 7.912 * [backup-simplify]: Simplify (- 1) into -1 7.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.912 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.912 * [taylor]: Taking taylor expansion of -1 in f 7.912 * [backup-simplify]: Simplify -1 into -1 7.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.912 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.912 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.912 * [taylor]: Taking taylor expansion of f in f 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify (/ 1 1) into 1 7.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.913 * [taylor]: Taking taylor expansion of n in f 7.913 * [backup-simplify]: Simplify n into n 7.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.913 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.913 * [taylor]: Taking taylor expansion of f in f 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify (/ 1 1) into 1 7.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.913 * [taylor]: Taking taylor expansion of n in f 7.913 * [backup-simplify]: Simplify n into n 7.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.913 * [backup-simplify]: Simplify (+ 1 0) into 1 7.914 * [backup-simplify]: Simplify (+ 1 0) into 1 7.914 * [backup-simplify]: Simplify (/ 1 1) into 1 7.914 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.914 * [taylor]: Taking taylor expansion of -1 in f 7.914 * [backup-simplify]: Simplify -1 into -1 7.914 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.914 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.914 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.914 * [taylor]: Taking taylor expansion of f in f 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 1 into 1 7.915 * [backup-simplify]: Simplify (/ 1 1) into 1 7.915 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.915 * [taylor]: Taking taylor expansion of n in f 7.915 * [backup-simplify]: Simplify n into n 7.915 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.915 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.915 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.915 * [taylor]: Taking taylor expansion of f in f 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 1 into 1 7.916 * [backup-simplify]: Simplify (/ 1 1) into 1 7.916 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.916 * [taylor]: Taking taylor expansion of n in f 7.916 * [backup-simplify]: Simplify n into n 7.916 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.916 * [backup-simplify]: Simplify (+ 1 0) into 1 7.917 * [backup-simplify]: Simplify (+ 1 0) into 1 7.917 * [backup-simplify]: Simplify (/ 1 1) into 1 7.917 * [backup-simplify]: Simplify (* -1 1) into -1 7.917 * [taylor]: Taking taylor expansion of -1 in n 7.918 * [backup-simplify]: Simplify -1 into -1 7.918 * [backup-simplify]: Simplify -1 into -1 7.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.919 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.919 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.920 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.920 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.920 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.920 * [taylor]: Taking taylor expansion of 2 in n 7.920 * [backup-simplify]: Simplify 2 into 2 7.920 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.920 * [taylor]: Taking taylor expansion of n in n 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.921 * [backup-simplify]: Simplify (/ 1 1) into 1 7.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.923 * [backup-simplify]: Simplify (- 0) into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.926 * [backup-simplify]: Simplify (- 0) into 0 7.926 * [backup-simplify]: Simplify (+ 0 0) into 0 7.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.928 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.928 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.928 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.928 * [taylor]: Taking taylor expansion of 2 in n 7.928 * [backup-simplify]: Simplify 2 into 2 7.928 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.928 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.928 * [taylor]: Taking taylor expansion of n in n 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (* 1 1) into 1 7.929 * [backup-simplify]: Simplify (/ 1 1) into 1 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.934 * [backup-simplify]: Simplify (- 0) into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.937 * [backup-simplify]: Simplify (- 0) into 0 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.938 * [backup-simplify]: Simplify (+ 0 0) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.940 * [backup-simplify]: Simplify (- 0) into 0 7.940 * [backup-simplify]: Simplify (+ 0 0) into 0 7.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.943 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.943 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.943 * [taylor]: Taking taylor expansion of 2 in n 7.943 * [backup-simplify]: Simplify 2 into 2 7.943 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.943 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.943 * [taylor]: Taking taylor expansion of n in n 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 1 into 1 7.944 * [backup-simplify]: Simplify (* 1 1) into 1 7.944 * [backup-simplify]: Simplify (* 1 1) into 1 7.945 * [backup-simplify]: Simplify (/ 1 1) into 1 7.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.954 * [backup-simplify]: Simplify (- 0) into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify -1 into -1 7.954 * [backup-simplify]: Simplify (/ (- (- (/ 1 (- f))) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.954 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.954 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.955 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.955 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.955 * [taylor]: Taking taylor expansion of f in n 7.955 * [backup-simplify]: Simplify f into f 7.955 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.955 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.955 * [taylor]: Taking taylor expansion of n in n 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (/ 1 1) into 1 7.955 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.955 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.955 * [taylor]: Taking taylor expansion of n in n 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.956 * [backup-simplify]: Simplify (/ 1 1) into 1 7.956 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.956 * [taylor]: Taking taylor expansion of f in n 7.956 * [backup-simplify]: Simplify f into f 7.956 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.956 * [backup-simplify]: Simplify (+ 0 1) into 1 7.957 * [backup-simplify]: Simplify (+ 1 0) into 1 7.957 * [backup-simplify]: Simplify (/ 1 1) into 1 7.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.957 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.957 * [taylor]: Taking taylor expansion of f in f 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 1 into 1 7.958 * [backup-simplify]: Simplify (/ 1 1) into 1 7.958 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.958 * [taylor]: Taking taylor expansion of n in f 7.958 * [backup-simplify]: Simplify n into n 7.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.958 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.958 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.958 * [taylor]: Taking taylor expansion of n in f 7.958 * [backup-simplify]: Simplify n into n 7.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.958 * [taylor]: Taking taylor expansion of f in f 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [backup-simplify]: Simplify (+ 1 0) into 1 7.959 * [backup-simplify]: Simplify (- 1) into -1 7.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.960 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.960 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.960 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.960 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.960 * [taylor]: Taking taylor expansion of f in f 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (/ 1 1) into 1 7.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.961 * [taylor]: Taking taylor expansion of n in f 7.961 * [backup-simplify]: Simplify n into n 7.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.961 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.961 * [taylor]: Taking taylor expansion of n in f 7.961 * [backup-simplify]: Simplify n into n 7.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.961 * [taylor]: Taking taylor expansion of f in f 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (/ 1 1) into 1 7.970 * [backup-simplify]: Simplify (+ 1 0) into 1 7.970 * [backup-simplify]: Simplify (- 1) into -1 7.971 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.971 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.971 * [taylor]: Taking taylor expansion of -1 in n 7.971 * [backup-simplify]: Simplify -1 into -1 7.971 * [backup-simplify]: Simplify -1 into -1 7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.972 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify (- 0) into 0 7.973 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.974 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.974 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.974 * [taylor]: Taking taylor expansion of 2 in n 7.974 * [backup-simplify]: Simplify 2 into 2 7.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.974 * [taylor]: Taking taylor expansion of n in n 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.976 * [backup-simplify]: Simplify (- 0) into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.978 * [backup-simplify]: Simplify (+ 0 0) into 0 7.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.979 * [backup-simplify]: Simplify (- 0) into 0 7.980 * [backup-simplify]: Simplify (+ 0 0) into 0 7.981 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.981 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.981 * [taylor]: Taking taylor expansion of 2 in n 7.981 * [backup-simplify]: Simplify 2 into 2 7.981 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.981 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.981 * [taylor]: Taking taylor expansion of n in n 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.982 * [backup-simplify]: Simplify (* 1 1) into 1 7.982 * [backup-simplify]: Simplify (/ 1 1) into 1 7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.987 * [backup-simplify]: Simplify (- 0) into 0 7.987 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.989 * [backup-simplify]: Simplify (- 0) into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.991 * [backup-simplify]: Simplify (+ 0 0) into 0 7.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.994 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.994 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.994 * [taylor]: Taking taylor expansion of 2 in n 7.995 * [backup-simplify]: Simplify 2 into 2 7.995 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.995 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.995 * [taylor]: Taking taylor expansion of n in n 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 1 into 1 7.995 * [backup-simplify]: Simplify (* 1 1) into 1 7.995 * [backup-simplify]: Simplify (* 1 1) into 1 7.996 * [backup-simplify]: Simplify (/ 1 1) into 1 7.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- 0) into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify -1 into -1 8.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.005 * [backup-simplify]: Simplify (/ (- (- f) n) (- f n)) into (* -1 (/ (+ n f) (- f n))) 8.005 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.005 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.006 * [taylor]: Taking taylor expansion of -1 in n 8.006 * [backup-simplify]: Simplify -1 into -1 8.006 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.006 * [taylor]: Taking taylor expansion of (+ n f) in n 8.006 * [taylor]: Taking taylor expansion of n in n 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.006 * [taylor]: Taking taylor expansion of f in n 8.006 * [backup-simplify]: Simplify f into f 8.006 * [taylor]: Taking taylor expansion of (- f n) in n 8.006 * [taylor]: Taking taylor expansion of f in n 8.006 * [backup-simplify]: Simplify f into f 8.006 * [taylor]: Taking taylor expansion of n in n 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (+ 0 f) into f 8.006 * [backup-simplify]: Simplify (- 0) into 0 8.006 * [backup-simplify]: Simplify (+ f 0) into f 8.007 * [backup-simplify]: Simplify (/ f f) into 1 8.007 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.007 * [taylor]: Taking taylor expansion of -1 in f 8.007 * [backup-simplify]: Simplify -1 into -1 8.007 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.007 * [taylor]: Taking taylor expansion of (+ n f) in f 8.007 * [taylor]: Taking taylor expansion of n in f 8.007 * [backup-simplify]: Simplify n into n 8.007 * [taylor]: Taking taylor expansion of f in f 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 1 into 1 8.007 * [taylor]: Taking taylor expansion of (- f n) in f 8.007 * [taylor]: Taking taylor expansion of f in f 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 1 into 1 8.007 * [taylor]: Taking taylor expansion of n in f 8.007 * [backup-simplify]: Simplify n into n 8.007 * [backup-simplify]: Simplify (+ n 0) into n 8.007 * [backup-simplify]: Simplify (- n) into (- n) 8.007 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.007 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.007 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.007 * [taylor]: Taking taylor expansion of -1 in f 8.007 * [backup-simplify]: Simplify -1 into -1 8.007 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.007 * [taylor]: Taking taylor expansion of (+ n f) in f 8.007 * [taylor]: Taking taylor expansion of n in f 8.007 * [backup-simplify]: Simplify n into n 8.007 * [taylor]: Taking taylor expansion of f in f 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 1 into 1 8.008 * [taylor]: Taking taylor expansion of (- f n) in f 8.008 * [taylor]: Taking taylor expansion of f in f 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 1 into 1 8.008 * [taylor]: Taking taylor expansion of n in f 8.008 * [backup-simplify]: Simplify n into n 8.008 * [backup-simplify]: Simplify (+ n 0) into n 8.008 * [backup-simplify]: Simplify (- n) into (- n) 8.008 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.008 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.008 * [backup-simplify]: Simplify (* -1 -1) into 1 8.008 * [taylor]: Taking taylor expansion of 1 in n 8.008 * [backup-simplify]: Simplify 1 into 1 8.009 * [backup-simplify]: Simplify 1 into 1 8.009 * [backup-simplify]: Simplify (+ 0 1) into 1 8.009 * [backup-simplify]: Simplify (- 0) into 0 8.010 * [backup-simplify]: Simplify (+ 1 0) into 1 8.010 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.011 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.011 * [taylor]: Taking taylor expansion of 2 in n 8.011 * [backup-simplify]: Simplify 2 into 2 8.011 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.011 * [taylor]: Taking taylor expansion of n in n 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.011 * [backup-simplify]: Simplify (/ 1 1) into 1 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify (+ 0 0) into 0 8.014 * [backup-simplify]: Simplify (- 0) into 0 8.014 * [backup-simplify]: Simplify (+ 0 0) into 0 8.014 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.015 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.015 * [taylor]: Taking taylor expansion of 2 in n 8.015 * [backup-simplify]: Simplify 2 into 2 8.015 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.015 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.015 * [taylor]: Taking taylor expansion of n in n 8.015 * [backup-simplify]: Simplify 0 into 0 8.015 * [backup-simplify]: Simplify 1 into 1 8.016 * [backup-simplify]: Simplify (* 1 1) into 1 8.016 * [backup-simplify]: Simplify (/ 1 1) into 1 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify (+ 0 0) into 0 8.023 * [backup-simplify]: Simplify (- 0) into 0 8.024 * [backup-simplify]: Simplify (+ 0 0) into 0 8.025 * [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)))) 8.026 * [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))) 8.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.026 * [taylor]: Taking taylor expansion of 2 in n 8.026 * [backup-simplify]: Simplify 2 into 2 8.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.026 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.026 * [taylor]: Taking taylor expansion of n in n 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify 1 into 1 8.026 * [backup-simplify]: Simplify (* 1 1) into 1 8.027 * [backup-simplify]: Simplify (* 1 1) into 1 8.027 * [backup-simplify]: Simplify (/ 1 1) into 1 8.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (/ (- (- (/ 1 f)) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.037 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.037 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.037 * [taylor]: Taking taylor expansion of -1 in n 8.037 * [backup-simplify]: Simplify -1 into -1 8.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.037 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.037 * [taylor]: Taking taylor expansion of f in n 8.037 * [backup-simplify]: Simplify f into f 8.037 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.037 * [taylor]: Taking taylor expansion of n in n 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.038 * [backup-simplify]: Simplify (/ 1 1) into 1 8.038 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.038 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.038 * [taylor]: Taking taylor expansion of f in n 8.038 * [backup-simplify]: Simplify f into f 8.038 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.038 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.038 * [taylor]: Taking taylor expansion of n in n 8.038 * [backup-simplify]: Simplify 0 into 0 8.038 * [backup-simplify]: Simplify 1 into 1 8.038 * [backup-simplify]: Simplify (/ 1 1) into 1 8.039 * [backup-simplify]: Simplify (+ 0 1) into 1 8.039 * [backup-simplify]: Simplify (- 1) into -1 8.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.040 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.040 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.040 * [taylor]: Taking taylor expansion of -1 in f 8.040 * [backup-simplify]: Simplify -1 into -1 8.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.040 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.040 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.040 * [taylor]: Taking taylor expansion of f in f 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ 1 1) into 1 8.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.041 * [taylor]: Taking taylor expansion of n in f 8.041 * [backup-simplify]: Simplify n into n 8.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.041 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.041 * [taylor]: Taking taylor expansion of f in f 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify (/ 1 1) into 1 8.042 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.042 * [taylor]: Taking taylor expansion of n in f 8.042 * [backup-simplify]: Simplify n into n 8.042 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.042 * [backup-simplify]: Simplify (+ 1 0) into 1 8.043 * [backup-simplify]: Simplify (+ 1 0) into 1 8.044 * [backup-simplify]: Simplify (/ 1 1) into 1 8.044 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.044 * [taylor]: Taking taylor expansion of -1 in f 8.044 * [backup-simplify]: Simplify -1 into -1 8.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.044 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.044 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.044 * [taylor]: Taking taylor expansion of f in f 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 1 into 1 8.045 * [backup-simplify]: Simplify (/ 1 1) into 1 8.045 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.045 * [taylor]: Taking taylor expansion of n in f 8.045 * [backup-simplify]: Simplify n into n 8.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.045 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.045 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.045 * [taylor]: Taking taylor expansion of f in f 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 1 into 1 8.045 * [backup-simplify]: Simplify (/ 1 1) into 1 8.045 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.045 * [taylor]: Taking taylor expansion of n in f 8.045 * [backup-simplify]: Simplify n into n 8.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.046 * [backup-simplify]: Simplify (+ 1 0) into 1 8.046 * [backup-simplify]: Simplify (+ 1 0) into 1 8.047 * [backup-simplify]: Simplify (/ 1 1) into 1 8.047 * [backup-simplify]: Simplify (* -1 1) into -1 8.047 * [taylor]: Taking taylor expansion of -1 in n 8.047 * [backup-simplify]: Simplify -1 into -1 8.047 * [backup-simplify]: Simplify -1 into -1 8.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.048 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.049 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.049 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.049 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.050 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.050 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.050 * [taylor]: Taking taylor expansion of 2 in n 8.050 * [backup-simplify]: Simplify 2 into 2 8.050 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.050 * [taylor]: Taking taylor expansion of n in n 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.051 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.052 * [backup-simplify]: Simplify (- 0) into 0 8.053 * [backup-simplify]: Simplify 0 into 0 8.053 * [backup-simplify]: Simplify 0 into 0 8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.054 * [backup-simplify]: Simplify (+ 0 0) into 0 8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.055 * [backup-simplify]: Simplify (- 0) into 0 8.056 * [backup-simplify]: Simplify (+ 0 0) into 0 8.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.058 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.058 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.058 * [taylor]: Taking taylor expansion of 2 in n 8.058 * [backup-simplify]: Simplify 2 into 2 8.058 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.058 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.058 * [taylor]: Taking taylor expansion of n in n 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify (* 1 1) into 1 8.059 * [backup-simplify]: Simplify (/ 1 1) into 1 8.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.063 * [backup-simplify]: Simplify (- 0) into 0 8.063 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.066 * [backup-simplify]: Simplify (- 0) into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.067 * [backup-simplify]: Simplify (+ 0 0) into 0 8.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.069 * [backup-simplify]: Simplify (- 0) into 0 8.069 * [backup-simplify]: Simplify (+ 0 0) into 0 8.071 * [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))) 8.072 * [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)))) 8.072 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.072 * [taylor]: Taking taylor expansion of 2 in n 8.072 * [backup-simplify]: Simplify 2 into 2 8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.072 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.072 * [taylor]: Taking taylor expansion of n in n 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.073 * [backup-simplify]: Simplify (* 1 1) into 1 8.073 * [backup-simplify]: Simplify (* 1 1) into 1 8.073 * [backup-simplify]: Simplify (/ 1 1) into 1 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.082 * [backup-simplify]: Simplify (- 0) into 0 8.082 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify -1 into -1 8.083 * [backup-simplify]: Simplify (/ (- (- (/ 1 (- f))) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.083 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.083 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.083 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.083 * [taylor]: Taking taylor expansion of f in n 8.083 * [backup-simplify]: Simplify f into f 8.083 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.083 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.083 * [taylor]: Taking taylor expansion of n in n 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 1 into 1 8.084 * [backup-simplify]: Simplify (/ 1 1) into 1 8.084 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.084 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.084 * [taylor]: Taking taylor expansion of n in n 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 1 into 1 8.084 * [backup-simplify]: Simplify (/ 1 1) into 1 8.084 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.084 * [taylor]: Taking taylor expansion of f in n 8.084 * [backup-simplify]: Simplify f into f 8.084 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.085 * [backup-simplify]: Simplify (+ 0 1) into 1 8.085 * [backup-simplify]: Simplify (+ 1 0) into 1 8.085 * [backup-simplify]: Simplify (/ 1 1) into 1 8.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.086 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.086 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.086 * [taylor]: Taking taylor expansion of f in f 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [backup-simplify]: Simplify (/ 1 1) into 1 8.086 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.086 * [taylor]: Taking taylor expansion of n in f 8.086 * [backup-simplify]: Simplify n into n 8.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.086 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.086 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.086 * [taylor]: Taking taylor expansion of n in f 8.086 * [backup-simplify]: Simplify n into n 8.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.086 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.086 * [taylor]: Taking taylor expansion of f in f 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.087 * [backup-simplify]: Simplify (/ 1 1) into 1 8.087 * [backup-simplify]: Simplify (+ 1 0) into 1 8.088 * [backup-simplify]: Simplify (- 1) into -1 8.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.088 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.088 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.089 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.089 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.089 * [taylor]: Taking taylor expansion of f in f 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [backup-simplify]: Simplify (/ 1 1) into 1 8.089 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.089 * [taylor]: Taking taylor expansion of n in f 8.089 * [backup-simplify]: Simplify n into n 8.089 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.089 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.089 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.089 * [taylor]: Taking taylor expansion of n in f 8.089 * [backup-simplify]: Simplify n into n 8.089 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.089 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.089 * [taylor]: Taking taylor expansion of f in f 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.090 * [backup-simplify]: Simplify (/ 1 1) into 1 8.090 * [backup-simplify]: Simplify (+ 1 0) into 1 8.091 * [backup-simplify]: Simplify (- 1) into -1 8.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.091 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.092 * [taylor]: Taking taylor expansion of -1 in n 8.092 * [backup-simplify]: Simplify -1 into -1 8.092 * [backup-simplify]: Simplify -1 into -1 8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.093 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.094 * [backup-simplify]: Simplify (- 0) into 0 8.094 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.094 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.094 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.095 * [taylor]: Taking taylor expansion of 2 in n 8.095 * [backup-simplify]: Simplify 2 into 2 8.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.095 * [taylor]: Taking taylor expansion of n in n 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 1 into 1 8.095 * [backup-simplify]: Simplify (/ 1 1) into 1 8.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.097 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.097 * [backup-simplify]: Simplify (- 0) into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.098 * [backup-simplify]: Simplify (+ 0 0) into 0 8.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.100 * [backup-simplify]: Simplify (- 0) into 0 8.100 * [backup-simplify]: Simplify (+ 0 0) into 0 8.102 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.102 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.102 * [taylor]: Taking taylor expansion of 2 in n 8.102 * [backup-simplify]: Simplify 2 into 2 8.102 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.102 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.102 * [taylor]: Taking taylor expansion of n in n 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [backup-simplify]: Simplify (* 1 1) into 1 8.103 * [backup-simplify]: Simplify (/ 1 1) into 1 8.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.107 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.108 * [backup-simplify]: Simplify (- 0) into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.110 * [backup-simplify]: Simplify (- 0) into 0 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.112 * [backup-simplify]: Simplify (+ 0 0) into 0 8.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.113 * [backup-simplify]: Simplify (- 0) into 0 8.114 * [backup-simplify]: Simplify (+ 0 0) into 0 8.116 * [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)))) 8.116 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.116 * [taylor]: Taking taylor expansion of 2 in n 8.116 * [backup-simplify]: Simplify 2 into 2 8.116 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.116 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.116 * [taylor]: Taking taylor expansion of n in n 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify (* 1 1) into 1 8.117 * [backup-simplify]: Simplify (* 1 1) into 1 8.117 * [backup-simplify]: Simplify (/ 1 1) into 1 8.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (- 0) into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify -1 into -1 8.130 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.130 * [backup-simplify]: Simplify (* (sqrt (/ (- (- f) n) (- f n))) (sqrt (/ (- (- f) n) (- f n)))) into (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) 8.130 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in (f n) around 0 8.130 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 8.130 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 8.130 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.131 * [taylor]: Taking taylor expansion of -1 in n 8.131 * [backup-simplify]: Simplify -1 into -1 8.131 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.131 * [taylor]: Taking taylor expansion of (+ n f) in n 8.131 * [taylor]: Taking taylor expansion of n in n 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.131 * [taylor]: Taking taylor expansion of f in n 8.131 * [backup-simplify]: Simplify f into f 8.131 * [taylor]: Taking taylor expansion of (- f n) in n 8.131 * [taylor]: Taking taylor expansion of f in n 8.131 * [backup-simplify]: Simplify f into f 8.131 * [taylor]: Taking taylor expansion of n in n 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.131 * [backup-simplify]: Simplify (+ 0 f) into f 8.131 * [backup-simplify]: Simplify (- 0) into 0 8.131 * [backup-simplify]: Simplify (+ f 0) into f 8.131 * [backup-simplify]: Simplify (/ f f) into 1 8.132 * [backup-simplify]: Simplify (* -1 1) into -1 8.132 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.133 * [backup-simplify]: Simplify (+ 1 0) into 1 8.133 * [backup-simplify]: Simplify (- 1) into -1 8.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.134 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 8.134 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 8.135 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 f))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) f)) 8.136 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 8.136 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 8.136 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.136 * [taylor]: Taking taylor expansion of -1 in f 8.136 * [backup-simplify]: Simplify -1 into -1 8.136 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.136 * [taylor]: Taking taylor expansion of (+ n f) in f 8.136 * [taylor]: Taking taylor expansion of n in f 8.136 * [backup-simplify]: Simplify n into n 8.136 * [taylor]: Taking taylor expansion of f in f 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 1 into 1 8.136 * [taylor]: Taking taylor expansion of (- f n) in f 8.136 * [taylor]: Taking taylor expansion of f in f 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 1 into 1 8.136 * [taylor]: Taking taylor expansion of n in f 8.136 * [backup-simplify]: Simplify n into n 8.136 * [backup-simplify]: Simplify (+ n 0) into n 8.136 * [backup-simplify]: Simplify (- n) into (- n) 8.136 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.136 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.137 * [backup-simplify]: Simplify (* -1 -1) into 1 8.137 * [backup-simplify]: Simplify (sqrt 1) into 1 8.138 * [backup-simplify]: Simplify (+ 0 1) into 1 8.138 * [backup-simplify]: Simplify (- 0) into 0 8.138 * [backup-simplify]: Simplify (+ 1 0) into 1 8.139 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.139 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.140 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 8.140 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 8.140 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 8.140 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.140 * [taylor]: Taking taylor expansion of -1 in f 8.140 * [backup-simplify]: Simplify -1 into -1 8.140 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.140 * [taylor]: Taking taylor expansion of (+ n f) in f 8.140 * [taylor]: Taking taylor expansion of n in f 8.140 * [backup-simplify]: Simplify n into n 8.140 * [taylor]: Taking taylor expansion of f in f 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.141 * [taylor]: Taking taylor expansion of (- f n) in f 8.141 * [taylor]: Taking taylor expansion of f in f 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [taylor]: Taking taylor expansion of n in f 8.141 * [backup-simplify]: Simplify n into n 8.141 * [backup-simplify]: Simplify (+ n 0) into n 8.141 * [backup-simplify]: Simplify (- n) into (- n) 8.141 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.141 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.141 * [backup-simplify]: Simplify (* -1 -1) into 1 8.142 * [backup-simplify]: Simplify (sqrt 1) into 1 8.142 * [backup-simplify]: Simplify (+ 0 1) into 1 8.143 * [backup-simplify]: Simplify (- 0) into 0 8.143 * [backup-simplify]: Simplify (+ 1 0) into 1 8.143 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.144 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.145 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 8.145 * [backup-simplify]: Simplify (* 1 1) into 1 8.145 * [taylor]: Taking taylor expansion of 1 in n 8.145 * [backup-simplify]: Simplify 1 into 1 8.145 * [backup-simplify]: Simplify 1 into 1 8.146 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.146 * [taylor]: Taking taylor expansion of 2 in n 8.146 * [backup-simplify]: Simplify 2 into 2 8.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.146 * [taylor]: Taking taylor expansion of n in n 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 1 into 1 8.146 * [backup-simplify]: Simplify (/ 1 1) into 1 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.148 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify (+ 0 0) into 0 8.149 * [backup-simplify]: Simplify (- 0) into 0 8.149 * [backup-simplify]: Simplify (+ 0 0) into 0 8.150 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.150 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.152 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 2))) (pow (/ 1 n) 2) (+)) (* 2 1)) into (/ 1/2 (pow n 2)) 8.152 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 2))) (+ (* (/ 1 n) (/ 1 n)) (* (/ 1/2 (pow n 2)) 1))) into (* 2 (/ 1 (pow n 2))) 8.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.152 * [taylor]: Taking taylor expansion of 2 in n 8.152 * [backup-simplify]: Simplify 2 into 2 8.152 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.152 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.152 * [taylor]: Taking taylor expansion of n in n 8.152 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [backup-simplify]: Simplify (* 1 1) into 1 8.153 * [backup-simplify]: Simplify (/ 1 1) into 1 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.158 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify (+ 0 0) into 0 8.161 * [backup-simplify]: Simplify (- 0) into 0 8.161 * [backup-simplify]: Simplify (+ 0 0) into 0 8.162 * [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)))) 8.163 * [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))) 8.164 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 3))) (+ (* 2 (* (/ 1 n) (/ 1/2 (pow n 2)))))) (* 2 1)) into (/ 1/2 (pow n 3)) 8.165 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 3))) (+ (* (/ 1 n) (/ 1/2 (pow n 2))) (+ (* (/ 1/2 (pow n 2)) (/ 1 n)) (* (/ 1/2 (pow n 3)) 1)))) into (* 2 (/ 1 (pow n 3))) 8.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.165 * [taylor]: Taking taylor expansion of 2 in n 8.165 * [backup-simplify]: Simplify 2 into 2 8.165 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.165 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.165 * [taylor]: Taking taylor expansion of n in n 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (* 1 1) into 1 8.166 * [backup-simplify]: Simplify (* 1 1) into 1 8.167 * [backup-simplify]: Simplify (/ 1 1) into 1 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.176 * [backup-simplify]: Simplify (* (sqrt (/ (- (- (/ 1 f)) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) (sqrt (/ (- (- (/ 1 f)) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) 8.176 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in (f n) around 0 8.176 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 8.177 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 8.177 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.177 * [taylor]: Taking taylor expansion of -1 in n 8.177 * [backup-simplify]: Simplify -1 into -1 8.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.177 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.177 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.177 * [taylor]: Taking taylor expansion of f in n 8.177 * [backup-simplify]: Simplify f into f 8.177 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.177 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.177 * [taylor]: Taking taylor expansion of n in n 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (/ 1 1) into 1 8.177 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.177 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.177 * [taylor]: Taking taylor expansion of f in n 8.178 * [backup-simplify]: Simplify f into f 8.178 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.178 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.178 * [taylor]: Taking taylor expansion of n in n 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (/ 1 1) into 1 8.178 * [backup-simplify]: Simplify (+ 0 1) into 1 8.179 * [backup-simplify]: Simplify (- 1) into -1 8.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.180 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.180 * [backup-simplify]: Simplify (* -1 -1) into 1 8.180 * [backup-simplify]: Simplify (sqrt 1) into 1 8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.182 * [backup-simplify]: Simplify (- 0) into 0 8.182 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.183 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 8.183 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 8.184 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 8.184 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 8.184 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.184 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.184 * [taylor]: Taking taylor expansion of -1 in f 8.184 * [backup-simplify]: Simplify -1 into -1 8.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.184 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.184 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.184 * [taylor]: Taking taylor expansion of f in f 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.185 * [taylor]: Taking taylor expansion of n in f 8.185 * [backup-simplify]: Simplify n into n 8.185 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.185 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.185 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.185 * [taylor]: Taking taylor expansion of f in f 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.185 * [taylor]: Taking taylor expansion of n in f 8.185 * [backup-simplify]: Simplify n into n 8.185 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.186 * [backup-simplify]: Simplify (+ 1 0) into 1 8.186 * [backup-simplify]: Simplify (+ 1 0) into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [backup-simplify]: Simplify (* -1 1) into -1 8.188 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.189 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.189 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.190 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.190 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.190 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.191 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 8.191 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 8.191 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.191 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.191 * [taylor]: Taking taylor expansion of -1 in f 8.192 * [backup-simplify]: Simplify -1 into -1 8.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.192 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.192 * [taylor]: Taking taylor expansion of f in f 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (/ 1 1) into 1 8.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.192 * [taylor]: Taking taylor expansion of n in f 8.192 * [backup-simplify]: Simplify n into n 8.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.192 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.192 * [taylor]: Taking taylor expansion of f in f 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 1 into 1 8.193 * [backup-simplify]: Simplify (/ 1 1) into 1 8.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.193 * [taylor]: Taking taylor expansion of n in f 8.193 * [backup-simplify]: Simplify n into n 8.193 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.194 * [backup-simplify]: Simplify (+ 1 0) into 1 8.194 * [backup-simplify]: Simplify (+ 1 0) into 1 8.194 * [backup-simplify]: Simplify (/ 1 1) into 1 8.195 * [backup-simplify]: Simplify (* -1 1) into -1 8.195 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.197 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.197 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.198 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.199 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 8.200 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.200 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 8.200 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.200 * [taylor]: Taking taylor expansion of -1 in n 8.200 * [backup-simplify]: Simplify -1 into -1 8.201 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.203 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.204 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 8.205 * [backup-simplify]: Simplify (+ (* (sqrt -1) (/ -1 (* (sqrt -1) n))) (* (/ -1 (* (sqrt -1) n)) (sqrt -1))) into (- (* 2 (/ 1 n))) 8.205 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.205 * [taylor]: Taking taylor expansion of 2 in n 8.205 * [backup-simplify]: Simplify 2 into 2 8.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.205 * [taylor]: Taking taylor expansion of n in n 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify (/ 1 1) into 1 8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.207 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.208 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.209 * [backup-simplify]: Simplify (- 0) into 0 8.209 * [backup-simplify]: Simplify (+ 0 0) into 0 8.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.211 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.212 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 8.215 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (sqrt -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.215 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.215 * [taylor]: Taking taylor expansion of 2 in n 8.215 * [backup-simplify]: Simplify 2 into 2 8.215 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.215 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.215 * [taylor]: Taking taylor expansion of n in n 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (* 1 1) into 1 8.216 * [backup-simplify]: Simplify (/ 1 1) into 1 8.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.219 * [backup-simplify]: Simplify (- 0) into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.220 * [backup-simplify]: Simplify (- 0) into 0 8.220 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.221 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.222 * [backup-simplify]: Simplify (+ 0 0) into 0 8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.223 * [backup-simplify]: Simplify (- 0) into 0 8.223 * [backup-simplify]: Simplify (+ 0 0) into 0 8.225 * [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))) 8.225 * [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)))) 8.228 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 8.236 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) (sqrt -1))))) into (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) 8.236 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) in n 8.236 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 8.236 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 8.236 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 8.236 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.236 * [taylor]: Taking taylor expansion of -1 in n 8.236 * [backup-simplify]: Simplify -1 into -1 8.236 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.236 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.236 * [taylor]: Taking taylor expansion of n in n 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 1 into 1 8.237 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.238 * [backup-simplify]: Simplify (* 1 1) into 1 8.238 * [backup-simplify]: Simplify (* 1 1) into 1 8.239 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 8.240 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 8.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3)))) in n 8.240 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) in n 8.240 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (sqrt -1) 2)) in n 8.240 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.240 * [taylor]: Taking taylor expansion of n in n 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.240 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 8.240 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.240 * [taylor]: Taking taylor expansion of -1 in n 8.240 * [backup-simplify]: Simplify -1 into -1 8.240 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.241 * [backup-simplify]: Simplify (* 1 1) into 1 8.241 * [backup-simplify]: Simplify (* 1 1) into 1 8.242 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.243 * [backup-simplify]: Simplify (* 1 (pow (sqrt -1) 2)) into (pow (sqrt -1) 2) 8.244 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 8.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.244 * [taylor]: Taking taylor expansion of 2 in n 8.244 * [backup-simplify]: Simplify 2 into 2 8.244 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.244 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.244 * [taylor]: Taking taylor expansion of n in n 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (* 1 1) into 1 8.245 * [backup-simplify]: Simplify (* 1 1) into 1 8.245 * [backup-simplify]: Simplify (/ 1 1) into 1 8.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.250 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.252 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.254 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 8.255 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.256 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 8.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 8.257 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.262 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 8.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.264 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.265 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2))))) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt -1) 2))) into 0 8.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 8.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.277 * [backup-simplify]: Simplify (+ 0 0) into 0 8.277 * [backup-simplify]: Simplify (- 0) into 0 8.277 * [backup-simplify]: Simplify (+ 0 0) into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 8.278 * [backup-simplify]: Simplify (* (sqrt (/ (- (- (/ 1 (- f))) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) (sqrt (/ (- (- (/ 1 (- f))) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.278 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.278 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.278 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.279 * [taylor]: Taking taylor expansion of f in n 8.279 * [backup-simplify]: Simplify f into f 8.279 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.279 * [taylor]: Taking taylor expansion of n in n 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 1 into 1 8.279 * [backup-simplify]: Simplify (/ 1 1) into 1 8.279 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.279 * [taylor]: Taking taylor expansion of n in n 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 1 into 1 8.279 * [backup-simplify]: Simplify (/ 1 1) into 1 8.279 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.279 * [taylor]: Taking taylor expansion of f in n 8.279 * [backup-simplify]: Simplify f into f 8.279 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.280 * [backup-simplify]: Simplify (+ 0 1) into 1 8.280 * [backup-simplify]: Simplify (+ 1 0) into 1 8.280 * [backup-simplify]: Simplify (/ 1 1) into 1 8.280 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.280 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.280 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.280 * [taylor]: Taking taylor expansion of f in f 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.280 * [backup-simplify]: Simplify (/ 1 1) into 1 8.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.280 * [taylor]: Taking taylor expansion of n in f 8.281 * [backup-simplify]: Simplify n into n 8.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.281 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.281 * [taylor]: Taking taylor expansion of n in f 8.281 * [backup-simplify]: Simplify n into n 8.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.281 * [taylor]: Taking taylor expansion of f in f 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (/ 1 1) into 1 8.281 * [backup-simplify]: Simplify (+ 1 0) into 1 8.281 * [backup-simplify]: Simplify (- 1) into -1 8.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.282 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.282 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.282 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.282 * [taylor]: Taking taylor expansion of f in f 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [backup-simplify]: Simplify (/ 1 1) into 1 8.282 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.282 * [taylor]: Taking taylor expansion of n in f 8.282 * [backup-simplify]: Simplify n into n 8.282 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.282 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.282 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.282 * [taylor]: Taking taylor expansion of n in f 8.282 * [backup-simplify]: Simplify n into n 8.283 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.283 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.283 * [taylor]: Taking taylor expansion of f in f 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [backup-simplify]: Simplify (/ 1 1) into 1 8.283 * [backup-simplify]: Simplify (+ 1 0) into 1 8.283 * [backup-simplify]: Simplify (- 1) into -1 8.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.284 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.284 * [taylor]: Taking taylor expansion of -1 in n 8.284 * [backup-simplify]: Simplify -1 into -1 8.284 * [backup-simplify]: Simplify -1 into -1 8.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (- 0) into 0 8.285 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.285 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.285 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.285 * [taylor]: Taking taylor expansion of 2 in n 8.285 * [backup-simplify]: Simplify 2 into 2 8.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.285 * [taylor]: Taking taylor expansion of n in n 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (/ 1 1) into 1 8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.287 * [backup-simplify]: Simplify (- 0) into 0 8.287 * [backup-simplify]: Simplify 0 into 0 8.287 * [backup-simplify]: Simplify 0 into 0 8.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.288 * [backup-simplify]: Simplify (+ 0 0) into 0 8.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.289 * [backup-simplify]: Simplify (- 0) into 0 8.289 * [backup-simplify]: Simplify (+ 0 0) into 0 8.290 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.290 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.290 * [taylor]: Taking taylor expansion of 2 in n 8.290 * [backup-simplify]: Simplify 2 into 2 8.290 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.290 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.290 * [taylor]: Taking taylor expansion of n in n 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (* 1 1) into 1 8.291 * [backup-simplify]: Simplify (/ 1 1) into 1 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.295 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.296 * [backup-simplify]: Simplify (- 0) into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.298 * [backup-simplify]: Simplify (- 0) into 0 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.300 * [backup-simplify]: Simplify (+ 0 0) into 0 8.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (- 0) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.303 * [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)))) 8.303 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.304 * [taylor]: Taking taylor expansion of 2 in n 8.304 * [backup-simplify]: Simplify 2 into 2 8.304 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.304 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.304 * [taylor]: Taking taylor expansion of n in n 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [backup-simplify]: Simplify (* 1 1) into 1 8.304 * [backup-simplify]: Simplify (* 1 1) into 1 8.305 * [backup-simplify]: Simplify (/ 1 1) into 1 8.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (- 0) into 0 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify -1 into -1 8.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.315 * [backup-simplify]: Simplify (sqrt (/ (- (- f) n) (- f n))) into (sqrt (* -1 (/ (+ n f) (- f n)))) 8.315 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 8.315 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 8.315 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.315 * [taylor]: Taking taylor expansion of -1 in n 8.315 * [backup-simplify]: Simplify -1 into -1 8.315 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.315 * [taylor]: Taking taylor expansion of (+ n f) in n 8.315 * [taylor]: Taking taylor expansion of n in n 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.315 * [taylor]: Taking taylor expansion of f in n 8.315 * [backup-simplify]: Simplify f into f 8.315 * [taylor]: Taking taylor expansion of (- f n) in n 8.315 * [taylor]: Taking taylor expansion of f in n 8.315 * [backup-simplify]: Simplify f into f 8.315 * [taylor]: Taking taylor expansion of n in n 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (+ 0 f) into f 8.316 * [backup-simplify]: Simplify (- 0) into 0 8.316 * [backup-simplify]: Simplify (+ f 0) into f 8.316 * [backup-simplify]: Simplify (/ f f) into 1 8.316 * [backup-simplify]: Simplify (* -1 1) into -1 8.317 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.317 * [backup-simplify]: Simplify (+ 1 0) into 1 8.317 * [backup-simplify]: Simplify (- 1) into -1 8.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.318 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 8.319 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 8.320 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 f))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) f)) 8.320 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 8.320 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.320 * [taylor]: Taking taylor expansion of -1 in f 8.320 * [backup-simplify]: Simplify -1 into -1 8.320 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.320 * [taylor]: Taking taylor expansion of (+ n f) in f 8.320 * [taylor]: Taking taylor expansion of n in f 8.320 * [backup-simplify]: Simplify n into n 8.320 * [taylor]: Taking taylor expansion of f in f 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [taylor]: Taking taylor expansion of (- f n) in f 8.320 * [taylor]: Taking taylor expansion of f in f 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [taylor]: Taking taylor expansion of n in f 8.320 * [backup-simplify]: Simplify n into n 8.320 * [backup-simplify]: Simplify (+ n 0) into n 8.320 * [backup-simplify]: Simplify (- n) into (- n) 8.320 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.320 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.321 * [backup-simplify]: Simplify (* -1 -1) into 1 8.321 * [backup-simplify]: Simplify (sqrt 1) into 1 8.322 * [backup-simplify]: Simplify (+ 0 1) into 1 8.322 * [backup-simplify]: Simplify (- 0) into 0 8.322 * [backup-simplify]: Simplify (+ 1 0) into 1 8.323 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.323 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.324 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 8.324 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 8.324 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.324 * [taylor]: Taking taylor expansion of -1 in f 8.324 * [backup-simplify]: Simplify -1 into -1 8.324 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.324 * [taylor]: Taking taylor expansion of (+ n f) in f 8.324 * [taylor]: Taking taylor expansion of n in f 8.324 * [backup-simplify]: Simplify n into n 8.324 * [taylor]: Taking taylor expansion of f in f 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 1 into 1 8.324 * [taylor]: Taking taylor expansion of (- f n) in f 8.324 * [taylor]: Taking taylor expansion of f in f 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 1 into 1 8.324 * [taylor]: Taking taylor expansion of n in f 8.324 * [backup-simplify]: Simplify n into n 8.324 * [backup-simplify]: Simplify (+ n 0) into n 8.324 * [backup-simplify]: Simplify (- n) into (- n) 8.325 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.325 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.325 * [backup-simplify]: Simplify (* -1 -1) into 1 8.325 * [backup-simplify]: Simplify (sqrt 1) into 1 8.326 * [backup-simplify]: Simplify (+ 0 1) into 1 8.326 * [backup-simplify]: Simplify (- 0) into 0 8.327 * [backup-simplify]: Simplify (+ 1 0) into 1 8.327 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.327 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.328 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 8.328 * [taylor]: Taking taylor expansion of 1 in n 8.328 * [backup-simplify]: Simplify 1 into 1 8.328 * [backup-simplify]: Simplify 1 into 1 8.328 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.328 * [taylor]: Taking taylor expansion of n in n 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify 1 into 1 8.329 * [backup-simplify]: Simplify (/ 1 1) into 1 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (+ 0 0) into 0 8.330 * [backup-simplify]: Simplify (- 0) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.331 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.332 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.334 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 2))) (pow (/ 1 n) 2) (+)) (* 2 1)) into (/ 1/2 (pow n 2)) 8.334 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 8.334 * [taylor]: Taking taylor expansion of 1/2 in n 8.334 * [backup-simplify]: Simplify 1/2 into 1/2 8.334 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.334 * [taylor]: Taking taylor expansion of n in n 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 1 into 1 8.334 * [backup-simplify]: Simplify (* 1 1) into 1 8.335 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify (+ 0 0) into 0 8.340 * [backup-simplify]: Simplify (- 0) into 0 8.341 * [backup-simplify]: Simplify (+ 0 0) into 0 8.341 * [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)))) 8.342 * [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))) 8.343 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 3))) (+ (* 2 (* (/ 1 n) (/ 1/2 (pow n 2)))))) (* 2 1)) into (/ 1/2 (pow n 3)) 8.343 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 3)) in n 8.343 * [taylor]: Taking taylor expansion of 1/2 in n 8.344 * [backup-simplify]: Simplify 1/2 into 1/2 8.344 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.344 * [taylor]: Taking taylor expansion of n in n 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (* 1 1) into 1 8.344 * [backup-simplify]: Simplify (* 1 1) into 1 8.345 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify (sqrt (/ (- (- (/ 1 f)) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 8.353 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 8.353 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 8.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.353 * [taylor]: Taking taylor expansion of -1 in n 8.353 * [backup-simplify]: Simplify -1 into -1 8.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.353 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.353 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.353 * [taylor]: Taking taylor expansion of f in n 8.353 * [backup-simplify]: Simplify f into f 8.354 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.354 * [taylor]: Taking taylor expansion of n in n 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (/ 1 1) into 1 8.354 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.354 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.354 * [taylor]: Taking taylor expansion of f in n 8.354 * [backup-simplify]: Simplify f into f 8.355 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.355 * [taylor]: Taking taylor expansion of n in n 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (/ 1 1) into 1 8.355 * [backup-simplify]: Simplify (+ 0 1) into 1 8.356 * [backup-simplify]: Simplify (- 1) into -1 8.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.357 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.357 * [backup-simplify]: Simplify (* -1 -1) into 1 8.357 * [backup-simplify]: Simplify (sqrt 1) into 1 8.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.358 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify (- 0) into 0 8.360 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.360 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 8.360 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 8.361 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 8.361 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.361 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.361 * [taylor]: Taking taylor expansion of -1 in f 8.361 * [backup-simplify]: Simplify -1 into -1 8.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.361 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.361 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.361 * [taylor]: Taking taylor expansion of f in f 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (/ 1 1) into 1 8.362 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.362 * [taylor]: Taking taylor expansion of n in f 8.362 * [backup-simplify]: Simplify n into n 8.362 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.362 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.362 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.362 * [taylor]: Taking taylor expansion of f in f 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.363 * [backup-simplify]: Simplify (/ 1 1) into 1 8.363 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.363 * [taylor]: Taking taylor expansion of n in f 8.363 * [backup-simplify]: Simplify n into n 8.363 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.363 * [backup-simplify]: Simplify (+ 1 0) into 1 8.364 * [backup-simplify]: Simplify (+ 1 0) into 1 8.364 * [backup-simplify]: Simplify (/ 1 1) into 1 8.365 * [backup-simplify]: Simplify (* -1 1) into -1 8.365 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.367 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.367 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.368 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.369 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 8.369 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.369 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.369 * [taylor]: Taking taylor expansion of -1 in f 8.369 * [backup-simplify]: Simplify -1 into -1 8.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.369 * [taylor]: Taking taylor expansion of f in f 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.370 * [taylor]: Taking taylor expansion of n in f 8.370 * [backup-simplify]: Simplify n into n 8.370 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.370 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.370 * [taylor]: Taking taylor expansion of f in f 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.370 * [taylor]: Taking taylor expansion of n in f 8.370 * [backup-simplify]: Simplify n into n 8.371 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.371 * [backup-simplify]: Simplify (+ 1 0) into 1 8.371 * [backup-simplify]: Simplify (+ 1 0) into 1 8.372 * [backup-simplify]: Simplify (/ 1 1) into 1 8.376 * [backup-simplify]: Simplify (* -1 1) into -1 8.377 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.378 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.379 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.379 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.380 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 8.380 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.380 * [taylor]: Taking taylor expansion of -1 in n 8.380 * [backup-simplify]: Simplify -1 into -1 8.381 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.382 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.382 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 8.382 * [taylor]: Taking taylor expansion of -1 in n 8.382 * [backup-simplify]: Simplify -1 into -1 8.382 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 8.382 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.382 * [taylor]: Taking taylor expansion of -1 in n 8.382 * [backup-simplify]: Simplify -1 into -1 8.383 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.383 * [taylor]: Taking taylor expansion of n in n 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 1 into 1 8.384 * [backup-simplify]: Simplify (* (sqrt -1) 0) into 0 8.386 * [backup-simplify]: Simplify (+ (* (sqrt -1) 1) (* 0 0)) into (sqrt -1) 8.387 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 8.388 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.389 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 8.390 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.391 * [backup-simplify]: Simplify (+ 0 0) into 0 8.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.393 * [backup-simplify]: Simplify (- 0) into 0 8.393 * [backup-simplify]: Simplify (+ 0 0) into 0 8.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.395 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.397 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 8.397 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 8.397 * [taylor]: Taking taylor expansion of -1/2 in n 8.397 * [backup-simplify]: Simplify -1/2 into -1/2 8.397 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 8.397 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 8.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.397 * [taylor]: Taking taylor expansion of 2 in n 8.397 * [backup-simplify]: Simplify 2 into 2 8.398 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.398 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.398 * [taylor]: Taking taylor expansion of n in n 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [backup-simplify]: Simplify (* 1 1) into 1 8.398 * [backup-simplify]: Simplify (/ 1 1) into 1 8.398 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 8.398 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 8.398 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 8.398 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.398 * [taylor]: Taking taylor expansion of -1 in n 8.398 * [backup-simplify]: Simplify -1 into -1 8.399 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.400 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.400 * [taylor]: Taking taylor expansion of n in n 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify 1 into 1 8.401 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.401 * [backup-simplify]: Simplify (* 1 1) into 1 8.403 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 8.405 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 8.405 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.405 * [taylor]: Taking taylor expansion of -1 in n 8.405 * [backup-simplify]: Simplify -1 into -1 8.405 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.406 * [backup-simplify]: Simplify (* 2 1) into 2 8.409 * [backup-simplify]: Simplify (+ 2 (/ 1 (pow (sqrt -1) 2))) into (+ (/ 1 (pow (sqrt -1) 2)) 2) 8.412 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) 8.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.418 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.422 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.423 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.424 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 8.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.430 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.432 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.434 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.437 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))))) into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.440 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.441 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.441 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.442 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.444 * [backup-simplify]: Simplify (+ 0 0) into 0 8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.445 * [backup-simplify]: Simplify (- 0) into 0 8.445 * [backup-simplify]: Simplify (+ 0 0) into 0 8.447 * [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))) 8.449 * [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)))) 8.453 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 8.453 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) in n 8.453 * [taylor]: Taking taylor expansion of -1/2 in n 8.453 * [backup-simplify]: Simplify -1/2 into -1/2 8.453 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)) in n 8.453 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) in n 8.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 8.453 * [taylor]: Taking taylor expansion of 2 in n 8.453 * [backup-simplify]: Simplify 2 into 2 8.453 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 8.453 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 8.453 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 8.453 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.453 * [taylor]: Taking taylor expansion of -1 in n 8.453 * [backup-simplify]: Simplify -1 into -1 8.453 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.454 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.454 * [taylor]: Taking taylor expansion of n in n 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.456 * [backup-simplify]: Simplify (* 1 1) into 1 8.456 * [backup-simplify]: Simplify (* 1 1) into 1 8.458 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 8.460 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 8.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 8.460 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 8.460 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 8.460 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 8.460 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.460 * [taylor]: Taking taylor expansion of -1 in n 8.460 * [backup-simplify]: Simplify -1 into -1 8.460 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.461 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.461 * [taylor]: Taking taylor expansion of n in n 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify 1 into 1 8.462 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.465 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)) into (pow (sqrt -1) 4) 8.465 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (* 1 1) into 1 8.467 * [backup-simplify]: Simplify (* (pow (sqrt -1) 4) 1) into (pow (sqrt -1) 4) 8.469 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 4)) into (/ 1 (pow (sqrt -1) 4)) 8.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.469 * [taylor]: Taking taylor expansion of 2 in n 8.469 * [backup-simplify]: Simplify 2 into 2 8.469 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.469 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.469 * [taylor]: Taking taylor expansion of n in n 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (* 1 1) into 1 8.470 * [backup-simplify]: Simplify (* 1 1) into 1 8.470 * [backup-simplify]: Simplify (/ 1 1) into 1 8.470 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.470 * [taylor]: Taking taylor expansion of -1 in n 8.470 * [backup-simplify]: Simplify -1 into -1 8.471 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.474 * [backup-simplify]: Simplify (* 2 (/ 1 (pow (sqrt -1) 2))) into (/ 2 (pow (sqrt -1) 2)) 8.475 * [backup-simplify]: Simplify (* 2 1) into 2 8.477 * [backup-simplify]: Simplify (+ (/ 1 (pow (sqrt -1) 4)) 2) into (+ (/ 1 (pow (sqrt -1) 4)) 2) 8.483 * [backup-simplify]: Simplify (+ (/ 2 (pow (sqrt -1) 2)) (+ (/ 1 (pow (sqrt -1) 4)) 2)) into (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) 8.492 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) 8.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.499 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.502 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 8.504 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 8.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 8.508 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2)))))) into 0 8.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.519 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 (pow (sqrt -1) 2))) into 0 8.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.526 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.527 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 8.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.531 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 8.532 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2))))) into 0 8.534 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (* 0 1)) into 0 8.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))))) into 0 8.538 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (* 0 1))) into 0 8.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 8.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 8.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.545 * [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) (+ (* 0 0) (* 0 1))) into 0 8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.554 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow (sqrt -1) 2)))) into 0 8.555 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2))))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.562 * [backup-simplify]: Simplify (+ 0 0) into 0 8.562 * [backup-simplify]: Simplify (+ 0 0) into 0 8.565 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.568 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.572 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)))))) into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.573 * [backup-simplify]: Simplify (sqrt (/ (- (- (/ 1 (- f))) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 8.573 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 8.573 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 8.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.573 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.573 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.573 * [taylor]: Taking taylor expansion of f in n 8.574 * [backup-simplify]: Simplify f into f 8.574 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.574 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.574 * [taylor]: Taking taylor expansion of n in n 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (/ 1 1) into 1 8.574 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.574 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.574 * [taylor]: Taking taylor expansion of n in n 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.575 * [backup-simplify]: Simplify (/ 1 1) into 1 8.575 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.575 * [taylor]: Taking taylor expansion of f in n 8.575 * [backup-simplify]: Simplify f into f 8.575 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.575 * [backup-simplify]: Simplify (+ 0 1) into 1 8.576 * [backup-simplify]: Simplify (+ 1 0) into 1 8.576 * [backup-simplify]: Simplify (/ 1 1) into 1 8.576 * [backup-simplify]: Simplify (sqrt 1) into 1 8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.577 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.578 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.578 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.578 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 8.579 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 8.579 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.579 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.579 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.579 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.579 * [taylor]: Taking taylor expansion of f in f 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.580 * [backup-simplify]: Simplify (/ 1 1) into 1 8.580 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.580 * [taylor]: Taking taylor expansion of n in f 8.580 * [backup-simplify]: Simplify n into n 8.580 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.580 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.580 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.580 * [taylor]: Taking taylor expansion of n in f 8.580 * [backup-simplify]: Simplify n into n 8.580 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.580 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.580 * [taylor]: Taking taylor expansion of f in f 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) into 1 8.581 * [backup-simplify]: Simplify (- 1) into -1 8.582 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.582 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.582 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.584 * [backup-simplify]: Simplify (- 0) into 0 8.584 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.585 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.586 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 8.586 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.586 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.586 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.586 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.586 * [taylor]: Taking taylor expansion of f in f 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [backup-simplify]: Simplify (/ 1 1) into 1 8.586 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.586 * [taylor]: Taking taylor expansion of n in f 8.586 * [backup-simplify]: Simplify n into n 8.586 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.586 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.586 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.586 * [taylor]: Taking taylor expansion of n in f 8.586 * [backup-simplify]: Simplify n into n 8.587 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.587 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.587 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 8.588 * [backup-simplify]: Simplify (- 1) into -1 8.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.589 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.589 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.590 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify (- 0) into 0 8.591 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.591 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.592 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 8.592 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.592 * [taylor]: Taking taylor expansion of -1 in n 8.592 * [backup-simplify]: Simplify -1 into -1 8.593 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.594 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.594 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 8.594 * [taylor]: Taking taylor expansion of -1 in n 8.594 * [backup-simplify]: Simplify -1 into -1 8.594 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 8.594 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.594 * [taylor]: Taking taylor expansion of -1 in n 8.594 * [backup-simplify]: Simplify -1 into -1 8.595 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.595 * [taylor]: Taking taylor expansion of n in n 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (* (sqrt -1) 0) into 0 8.598 * [backup-simplify]: Simplify (+ (* (sqrt -1) 1) (* 0 0)) into (sqrt -1) 8.599 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 8.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.601 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 8.603 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.606 * [backup-simplify]: Simplify (- 0) into 0 8.606 * [backup-simplify]: Simplify (+ 0 0) into 0 8.607 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.609 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 8.609 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 8.609 * [taylor]: Taking taylor expansion of -1/2 in n 8.609 * [backup-simplify]: Simplify -1/2 into -1/2 8.609 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 8.609 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 8.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.609 * [taylor]: Taking taylor expansion of 2 in n 8.609 * [backup-simplify]: Simplify 2 into 2 8.609 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.610 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.610 * [taylor]: Taking taylor expansion of n in n 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [backup-simplify]: Simplify (* 1 1) into 1 8.610 * [backup-simplify]: Simplify (/ 1 1) into 1 8.610 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 8.610 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 8.610 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 8.610 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.610 * [taylor]: Taking taylor expansion of -1 in n 8.610 * [backup-simplify]: Simplify -1 into -1 8.611 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.612 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.612 * [taylor]: Taking taylor expansion of n in n 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.613 * [backup-simplify]: Simplify (* 1 1) into 1 8.615 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 8.617 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 8.617 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.617 * [taylor]: Taking taylor expansion of -1 in n 8.617 * [backup-simplify]: Simplify -1 into -1 8.618 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.619 * [backup-simplify]: Simplify (* 2 1) into 2 8.622 * [backup-simplify]: Simplify (+ 2 (/ 1 (pow (sqrt -1) 2))) into (+ (/ 1 (pow (sqrt -1) 2)) 2) 8.626 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) 8.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.632 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.635 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.636 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.637 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 8.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 8.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.641 * [backup-simplify]: Simplify (+ 0 0) into 0 8.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.642 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.643 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.647 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.649 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))))) into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.651 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.652 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.652 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.656 * [backup-simplify]: Simplify (- 0) into 0 8.657 * [backup-simplify]: Simplify (+ 0 0) into 0 8.659 * [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)))) 8.662 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 8.662 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) in n 8.662 * [taylor]: Taking taylor expansion of -1/2 in n 8.662 * [backup-simplify]: Simplify -1/2 into -1/2 8.662 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)) in n 8.662 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) in n 8.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 8.662 * [taylor]: Taking taylor expansion of 2 in n 8.662 * [backup-simplify]: Simplify 2 into 2 8.662 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 8.662 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 8.663 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 8.663 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.663 * [taylor]: Taking taylor expansion of -1 in n 8.663 * [backup-simplify]: Simplify -1 into -1 8.663 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.664 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.664 * [taylor]: Taking taylor expansion of n in n 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.665 * [backup-simplify]: Simplify (* 1 1) into 1 8.666 * [backup-simplify]: Simplify (* 1 1) into 1 8.667 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 8.669 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 8.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 8.669 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 8.669 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 8.669 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 8.669 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.669 * [taylor]: Taking taylor expansion of -1 in n 8.669 * [backup-simplify]: Simplify -1 into -1 8.670 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.671 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.671 * [taylor]: Taking taylor expansion of n in n 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.675 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 8.677 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)) into (pow (sqrt -1) 4) 8.677 * [backup-simplify]: Simplify (* 1 1) into 1 8.677 * [backup-simplify]: Simplify (* 1 1) into 1 8.678 * [backup-simplify]: Simplify (* (pow (sqrt -1) 4) 1) into (pow (sqrt -1) 4) 8.680 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 4)) into (/ 1 (pow (sqrt -1) 4)) 8.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.680 * [taylor]: Taking taylor expansion of 2 in n 8.680 * [backup-simplify]: Simplify 2 into 2 8.680 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.680 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.680 * [taylor]: Taking taylor expansion of n in n 8.680 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify 1 into 1 8.680 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (/ 1 1) into 1 8.680 * [taylor]: Taking taylor expansion of (sqrt -1) in n 8.680 * [taylor]: Taking taylor expansion of -1 in n 8.680 * [backup-simplify]: Simplify -1 into -1 8.681 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.683 * [backup-simplify]: Simplify (* 2 (/ 1 (pow (sqrt -1) 2))) into (/ 2 (pow (sqrt -1) 2)) 8.683 * [backup-simplify]: Simplify (* 2 1) into 2 8.685 * [backup-simplify]: Simplify (+ (/ 1 (pow (sqrt -1) 4)) 2) into (+ (/ 1 (pow (sqrt -1) 4)) 2) 8.688 * [backup-simplify]: Simplify (+ (/ 2 (pow (sqrt -1) 2)) (+ (/ 1 (pow (sqrt -1) 4)) 2)) into (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) 8.693 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) 8.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.696 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.698 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.700 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 8.700 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.701 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 8.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 8.703 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 8.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2)))))) into 0 8.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 8.709 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 (pow (sqrt -1) 2))) into 0 8.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.711 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.712 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 8.713 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 8.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.716 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 8.718 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2))))) into 0 8.719 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.720 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (* 0 1)) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))))) into 0 8.723 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (* 0 1))) into 0 8.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 8.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 8.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.735 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 8.739 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow (sqrt -1) 2)))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (+ 0 0) into 0 8.741 * [backup-simplify]: Simplify (+ 0 0) into 0 8.744 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2))))) into 0 8.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.747 * [backup-simplify]: Simplify (+ 0 0) into 0 8.747 * [backup-simplify]: Simplify (+ 0 0) into 0 8.750 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.753 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.757 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)))))) into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.758 * * * [progress]: simplifying candidates 8.768 * [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)) (/ (- f) (- f n)) (/ n (- f n)) (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (sqrt (- f n))) (/ (cbrt (- (- f) n)) (sqrt (- f n))) (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) 1) (/ (cbrt (- (- f) n)) (- f n)) (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (+ (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))) (/ 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(- f) n) (- f n)))) 1 -1 -1 1 -1 -1 1 (pow (sqrt -1) 2) -1 1 (sqrt -1) (sqrt -1) 8.789 * * [simplify]: Extracting # 0 : cost 0 8.789 * * [simplify]: Extracting # 1 : cost 0 8.790 * * [simplify]: Extracting # 2 : cost 0 8.796 * * [simplify]: Extracting # 3 : cost 0 8.797 * * [simplify]: Extracting # 4 : cost 0 8.797 * * [simplify]: Extracting # 5 : cost 0 8.798 * * [simplify]: Extracting # 6 : cost 0 8.799 * * [simplify]: Extracting # 7 : cost 0 8.799 * * [simplify]: iteration 0 : 256 enodes (cost 8575 ) 8.887 * * [simplify]: Extracting # 0 : cost 0 8.889 * * [simplify]: Extracting # 1 : cost 0 8.890 * * [simplify]: Extracting # 2 : cost 0 8.891 * * [simplify]: Extracting # 3 : cost 0 8.893 * * [simplify]: iteration 1 : 513 enodes (cost 5850 ) 9.186 * * [simplify]: Extracting # 0 : cost 0 9.190 * * [simplify]: Extracting # 1 : cost 0 9.193 * * [simplify]: Extracting # 2 : cost 0 9.196 * * [simplify]: Extracting # 3 : cost 0 9.199 * * [simplify]: Extracting # 4 : cost 0 9.202 * * 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* * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 11.581 * * * * [regimes]: Trying to branch on n from (# # # #) 11.611 * * * * [regimes]: Trying to branch on f from (# # # #) 11.637 * * * [regime]: Found split indices: #