0.588 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.097 * * [simplify]: iteration 0: 6 enodes 0.147 * * [simplify]: iteration 1: 13 enodes 0.150 * * [simplify]: iteration 2: 16 enodes 0.154 * * [simplify]: iteration 3: 20 enodes 0.158 * * [simplify]: iteration 4: 26 enodes 0.164 * * [simplify]: iteration 5: 30 enodes 0.170 * * [simplify]: iteration 6: 32 enodes 0.176 * * [simplify]: iteration complete: 32 enodes 0.176 * * [simplify]: Extracting #0: cost 1 inf + 0 0.177 * * [simplify]: Extracting #1: cost 9 inf + 0 0.177 * * [simplify]: Extracting #2: cost 14 inf + 0 0.177 * * [simplify]: Extracting #3: cost 11 inf + 43 0.178 * * [simplify]: Extracting #4: cost 2 inf + 860 0.178 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.179 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.181 * * [progress]: iteration 1 / 4 0.182 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.276 * * * [progress]: generating series expansions 0.276 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.291 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.291 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.293 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.293 * [taylor]: Taking taylor expansion of -1 in n 0.293 * [backup-simplify]: Simplify -1 into -1 0.293 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.293 * [taylor]: Taking taylor expansion of (+ n f) in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of f in n 0.293 * [backup-simplify]: Simplify f into f 0.293 * [taylor]: Taking taylor expansion of (- f n) in n 0.293 * [taylor]: Taking taylor expansion of f in n 0.293 * [backup-simplify]: Simplify f into f 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (+ 0 f) into f 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ f 0) into f 0.295 * [backup-simplify]: Simplify (/ f f) into 1 0.295 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.295 * [taylor]: Taking taylor expansion of -1 in f 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.295 * [taylor]: Taking taylor expansion of (+ n f) in f 0.295 * [taylor]: Taking taylor expansion of n in f 0.295 * [backup-simplify]: Simplify n into n 0.295 * [taylor]: Taking taylor expansion of f in f 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (- f n) in f 0.295 * [taylor]: Taking taylor expansion of f in f 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of n in f 0.295 * [backup-simplify]: Simplify n into n 0.296 * [backup-simplify]: Simplify (+ n 0) into n 0.296 * [backup-simplify]: Simplify (- n) into (- n) 0.296 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.296 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.296 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.296 * [taylor]: Taking taylor expansion of -1 in f 0.296 * [backup-simplify]: Simplify -1 into -1 0.296 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.296 * [taylor]: Taking taylor expansion of (+ n f) in f 0.296 * [taylor]: Taking taylor expansion of n in f 0.296 * [backup-simplify]: Simplify n into n 0.296 * [taylor]: Taking taylor expansion of f in f 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of (- f n) in f 0.296 * [taylor]: Taking taylor expansion of f in f 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of n in f 0.296 * [backup-simplify]: Simplify n into n 0.296 * [backup-simplify]: Simplify (+ n 0) into n 0.296 * [backup-simplify]: Simplify (- n) into (- n) 0.296 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.296 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.298 * [backup-simplify]: Simplify (* -1 -1) into 1 0.298 * [taylor]: Taking taylor expansion of 1 in n 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ 0 1) into 1 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.301 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.301 * [taylor]: Taking taylor expansion of 2 in n 0.301 * [backup-simplify]: Simplify 2 into 2 0.301 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.304 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 0.304 * [taylor]: Taking taylor expansion of (pow n 2) 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 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [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)))) 0.311 * [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))) 0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.311 * [taylor]: Taking taylor expansion of 2 in n 0.311 * [backup-simplify]: Simplify 2 into 2 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.311 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.317 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.317 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.317 * [taylor]: Taking taylor expansion of -1 in n 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 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 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.318 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [backup-simplify]: Simplify f into f 0.318 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.318 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (+ 0 1) into 1 0.319 * [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 0.320 * [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 0.320 * [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 0.320 * [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) 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.321 * [taylor]: Taking taylor expansion of -1 in f 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.321 * [taylor]: Taking taylor expansion of f in f 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.322 * [taylor]: Taking taylor expansion of n in f 0.322 * [backup-simplify]: Simplify n into n 0.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.322 * [taylor]: Taking taylor expansion of n in f 0.322 * [backup-simplify]: Simplify n into n 0.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.322 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (* -1 1) into -1 0.323 * [taylor]: Taking taylor expansion of -1 in n 0.323 * [backup-simplify]: Simplify -1 into -1 0.323 * [backup-simplify]: Simplify -1 into -1 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.324 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.324 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.325 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.325 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.325 * [backup-simplify]: Simplify 2 into 2 0.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.330 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.330 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.330 * [taylor]: Taking taylor expansion of 2 in n 0.330 * [backup-simplify]: Simplify 2 into 2 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.330 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [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 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 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 0.338 * [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))) 0.341 * [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)))) 0.341 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.341 * [taylor]: Taking taylor expansion of 2 in n 0.341 * [backup-simplify]: Simplify 2 into 2 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.341 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.352 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.352 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.352 * [taylor]: Taking taylor expansion of f in n 0.352 * [backup-simplify]: Simplify f into f 0.352 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.354 * [taylor]: Taking taylor expansion of f in n 0.354 * [backup-simplify]: Simplify f into f 0.354 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.354 * [backup-simplify]: Simplify (+ 0 1) into 1 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.355 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.355 * [taylor]: Taking taylor expansion of f in f 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.355 * [taylor]: Taking taylor expansion of n in f 0.356 * [backup-simplify]: Simplify n into n 0.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.356 * [taylor]: Taking taylor expansion of n in f 0.356 * [backup-simplify]: Simplify n into n 0.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.356 * [taylor]: Taking taylor expansion of f in f 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (- 1) into -1 0.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.358 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.358 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.358 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.359 * [taylor]: Taking taylor expansion of n in f 0.359 * [backup-simplify]: Simplify n into n 0.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.359 * [taylor]: Taking taylor expansion of n in f 0.359 * [backup-simplify]: Simplify n into n 0.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.359 * [taylor]: Taking taylor expansion of f in f 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify (+ 1 0) into 1 0.360 * [backup-simplify]: Simplify (- 1) into -1 0.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.361 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.361 * [taylor]: Taking taylor expansion of -1 in n 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [backup-simplify]: Simplify -1 into -1 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.364 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.364 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.364 * [taylor]: Taking taylor expansion of 2 in n 0.364 * [backup-simplify]: Simplify 2 into 2 0.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.371 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.371 * [taylor]: Taking taylor expansion of 2 in n 0.371 * [backup-simplify]: Simplify 2 into 2 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.371 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [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)))) 0.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.384 * [taylor]: Taking taylor expansion of 2 in n 0.384 * [backup-simplify]: Simplify 2 into 2 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.384 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * * * [progress]: simplifying candidates 0.399 * [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 0.402 * * [simplify]: iteration 0: 133 enodes 0.460 * * [simplify]: iteration 1: 311 enodes 0.564 * * [simplify]: iteration 2: 1064 enodes 0.853 * * [simplify]: iteration complete: 5002 enodes 0.853 * * [simplify]: Extracting #0: cost 86 inf + 0 0.854 * * [simplify]: Extracting #1: cost 588 inf + 3 0.857 * * [simplify]: Extracting #2: cost 1389 inf + 129 0.867 * * [simplify]: Extracting #3: cost 1982 inf + 10600 0.898 * * [simplify]: Extracting #4: cost 1214 inf + 164085 0.987 * * [simplify]: Extracting #5: cost 84 inf + 395506 1.076 * * [simplify]: Extracting #6: cost 27 inf + 408638 1.184 * * [simplify]: Extracting #7: cost 3 inf + 412977 1.275 * * [simplify]: Extracting #8: cost 0 inf + 413736 1.366 * [simplify]: Simplified to: (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n)))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (cbrt (- (/ (+ f n) (- f n)))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (+ f n) (+ (- 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))) (+ (sqrt n) (sqrt f))) (cbrt (- (+ f 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 n) (sqrt f))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (* (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (cbrt (+ f n))) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f 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 n) (sqrt f)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 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 n) (sqrt f)))) (- (+ 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 (* f f)) (* n (* n n))))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 1.375 * * * [progress]: adding candidates to table 1.815 * * [progress]: iteration 2 / 4 1.815 * * * [progress]: picking best candidate 1.840 * * * * [pick]: Picked # 1.840 * * * [progress]: localizing error 1.873 * * * [progress]: generating rewritten candidates 1.873 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.903 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.994 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.117 * * * [progress]: generating series expansions 2.117 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 2.117 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 2.117 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.117 * [taylor]: Taking taylor expansion of -1 in n 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.117 * [taylor]: Taking taylor expansion of (+ n f) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of f in n 2.118 * [backup-simplify]: Simplify f into f 2.118 * [taylor]: Taking taylor expansion of (- f n) in n 2.118 * [taylor]: Taking taylor expansion of f in n 2.118 * [backup-simplify]: Simplify f into f 2.118 * [taylor]: Taking taylor expansion of n in n 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (+ 0 f) into f 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify (+ f 0) into f 2.119 * [backup-simplify]: Simplify (/ f f) into 1 2.119 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.119 * [taylor]: Taking taylor expansion of -1 in f 2.119 * [backup-simplify]: Simplify -1 into -1 2.119 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.119 * [taylor]: Taking taylor expansion of (+ n f) in f 2.119 * [taylor]: Taking taylor expansion of n in f 2.119 * [backup-simplify]: Simplify n into n 2.119 * [taylor]: Taking taylor expansion of f in f 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of (- f n) in f 2.119 * [taylor]: Taking taylor expansion of f in f 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of n in f 2.119 * [backup-simplify]: Simplify n into n 2.119 * [backup-simplify]: Simplify (+ n 0) into n 2.119 * [backup-simplify]: Simplify (- n) into (- n) 2.119 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.119 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.119 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.119 * [taylor]: Taking taylor expansion of -1 in f 2.119 * [backup-simplify]: Simplify -1 into -1 2.120 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.120 * [taylor]: Taking taylor expansion of (+ n f) in f 2.120 * [taylor]: Taking taylor expansion of n in f 2.120 * [backup-simplify]: Simplify n into n 2.120 * [taylor]: Taking taylor expansion of f in f 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of (- f n) in f 2.120 * [taylor]: Taking taylor expansion of f in f 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of n in f 2.120 * [backup-simplify]: Simplify n into n 2.120 * [backup-simplify]: Simplify (+ n 0) into n 2.120 * [backup-simplify]: Simplify (- n) into (- n) 2.120 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.120 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.121 * [backup-simplify]: Simplify (* -1 -1) into 1 2.121 * [taylor]: Taking taylor expansion of 1 in n 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (+ 0 1) into 1 2.122 * [backup-simplify]: Simplify (- 0) into 0 2.122 * [backup-simplify]: Simplify (+ 1 0) into 1 2.122 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.123 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.123 * [taylor]: Taking taylor expansion of 2 in n 2.123 * [backup-simplify]: Simplify 2 into 2 2.123 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.123 * [taylor]: Taking taylor expansion of n in n 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.128 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.128 * [taylor]: Taking taylor expansion of 2 in n 2.128 * [backup-simplify]: Simplify 2 into 2 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.128 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.128 * [taylor]: Taking taylor expansion of n in n 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.129 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (- 0) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.134 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.135 * [taylor]: Taking taylor expansion of 2 in n 2.135 * [backup-simplify]: Simplify 2 into 2 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.135 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.135 * [taylor]: Taking taylor expansion of n in n 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.141 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.141 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.141 * [taylor]: Taking taylor expansion of -1 in n 2.141 * [backup-simplify]: Simplify -1 into -1 2.141 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.141 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.141 * [taylor]: Taking taylor expansion of f in n 2.141 * [backup-simplify]: Simplify f into f 2.141 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.141 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.141 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.141 * [taylor]: Taking taylor expansion of f in n 2.141 * [backup-simplify]: Simplify f into f 2.141 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.141 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.142 * [taylor]: Taking taylor expansion of n in n 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (+ 0 1) into 1 2.142 * [backup-simplify]: Simplify (- 1) into -1 2.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.143 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.143 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.143 * [taylor]: Taking taylor expansion of -1 in f 2.143 * [backup-simplify]: Simplify -1 into -1 2.143 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.143 * [taylor]: Taking taylor expansion of n in f 2.144 * [backup-simplify]: Simplify n into n 2.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.144 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.144 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.144 * [taylor]: Taking taylor expansion of f in f 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (/ 1 1) into 1 2.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.144 * [taylor]: Taking taylor expansion of n in f 2.144 * [backup-simplify]: Simplify n into n 2.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.145 * [backup-simplify]: Simplify (+ 1 0) into 1 2.145 * [backup-simplify]: Simplify (+ 1 0) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.145 * [taylor]: Taking taylor expansion of -1 in f 2.145 * [backup-simplify]: Simplify -1 into -1 2.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.145 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.145 * [taylor]: Taking taylor expansion of f in f 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.146 * [taylor]: Taking taylor expansion of n in f 2.146 * [backup-simplify]: Simplify n into n 2.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.146 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.146 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.146 * [taylor]: Taking taylor expansion of f in f 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.146 * [taylor]: Taking taylor expansion of n in f 2.146 * [backup-simplify]: Simplify n into n 2.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.146 * [backup-simplify]: Simplify (+ 1 0) into 1 2.147 * [backup-simplify]: Simplify (+ 1 0) into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [backup-simplify]: Simplify (* -1 1) into -1 2.147 * [taylor]: Taking taylor expansion of -1 in n 2.147 * [backup-simplify]: Simplify -1 into -1 2.147 * [backup-simplify]: Simplify -1 into -1 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.148 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.148 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.149 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.149 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.149 * [taylor]: Taking taylor expansion of 2 in n 2.149 * [backup-simplify]: Simplify 2 into 2 2.149 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.149 * [taylor]: Taking taylor expansion of n in n 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.150 * [backup-simplify]: Simplify (- 0) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.154 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.154 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.154 * [taylor]: Taking taylor expansion of 2 in n 2.154 * [backup-simplify]: Simplify 2 into 2 2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.154 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.154 * [taylor]: Taking taylor expansion of n in n 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (* 1 1) into 1 2.154 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.157 * [backup-simplify]: Simplify (- 0) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.165 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.165 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.165 * [taylor]: Taking taylor expansion of 2 in n 2.165 * [backup-simplify]: Simplify 2 into 2 2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.165 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.166 * [taylor]: Taking taylor expansion of n in n 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (* 1 1) into 1 2.166 * [backup-simplify]: Simplify (* 1 1) into 1 2.167 * [backup-simplify]: Simplify (/ 1 1) into 1 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (- 0) into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify -1 into -1 2.177 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.177 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.177 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.177 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.177 * [taylor]: Taking taylor expansion of f in n 2.177 * [backup-simplify]: Simplify f into f 2.177 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.177 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.178 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.178 * [taylor]: Taking taylor expansion of n in n 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.178 * [taylor]: Taking taylor expansion of f in n 2.178 * [backup-simplify]: Simplify f into f 2.178 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.179 * [backup-simplify]: Simplify (+ 0 1) into 1 2.179 * [backup-simplify]: Simplify (+ 1 0) into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.180 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.180 * [taylor]: Taking taylor expansion of f in f 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.180 * [taylor]: Taking taylor expansion of n in f 2.180 * [backup-simplify]: Simplify n into n 2.180 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.180 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.180 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.180 * [taylor]: Taking taylor expansion of n in f 2.180 * [backup-simplify]: Simplify n into n 2.181 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.181 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.181 * [taylor]: Taking taylor expansion of f in f 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [backup-simplify]: Simplify (+ 1 0) into 1 2.182 * [backup-simplify]: Simplify (- 1) into -1 2.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.183 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.183 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.183 * [taylor]: Taking taylor expansion of f in f 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.183 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.183 * [taylor]: Taking taylor expansion of n in f 2.183 * [backup-simplify]: Simplify n into n 2.184 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.184 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.184 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.184 * [taylor]: Taking taylor expansion of n in f 2.184 * [backup-simplify]: Simplify n into n 2.184 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.184 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.184 * [taylor]: Taking taylor expansion of f in f 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.185 * [backup-simplify]: Simplify (+ 1 0) into 1 2.185 * [backup-simplify]: Simplify (- 1) into -1 2.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.186 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.186 * [taylor]: Taking taylor expansion of -1 in n 2.186 * [backup-simplify]: Simplify -1 into -1 2.186 * [backup-simplify]: Simplify -1 into -1 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (- 0) into 0 2.189 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.189 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.189 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.189 * [taylor]: Taking taylor expansion of 2 in n 2.189 * [backup-simplify]: Simplify 2 into 2 2.189 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.189 * [taylor]: Taking taylor expansion of n in n 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- 0) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.202 * [taylor]: Taking taylor expansion of 2 in n 2.202 * [backup-simplify]: Simplify 2 into 2 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.202 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.202 * [taylor]: Taking taylor expansion of n in n 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (- 0) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.215 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.215 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.216 * [taylor]: Taking taylor expansion of 2 in n 2.216 * [backup-simplify]: Simplify 2 into 2 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.216 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.216 * [taylor]: Taking taylor expansion of n in n 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (* 1 1) into 1 2.216 * [backup-simplify]: Simplify (* 1 1) into 1 2.217 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (- 0) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify -1 into -1 2.227 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.227 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 2.227 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.227 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 2.227 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.227 * [taylor]: Taking taylor expansion of -1 in n 2.227 * [backup-simplify]: Simplify -1 into -1 2.227 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.227 * [taylor]: Taking taylor expansion of (+ n f) in n 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [taylor]: Taking taylor expansion of f in n 2.227 * [backup-simplify]: Simplify f into f 2.227 * [taylor]: Taking taylor expansion of (- f n) in n 2.227 * [taylor]: Taking taylor expansion of f in n 2.227 * [backup-simplify]: Simplify f into f 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [backup-simplify]: Simplify (+ 0 f) into f 2.228 * [backup-simplify]: Simplify (- 0) into 0 2.228 * [backup-simplify]: Simplify (+ f 0) into f 2.228 * [backup-simplify]: Simplify (/ f f) into 1 2.229 * [backup-simplify]: Simplify (* -1 1) into -1 2.229 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.229 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.229 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.229 * [taylor]: Taking taylor expansion of -1 in f 2.229 * [backup-simplify]: Simplify -1 into -1 2.229 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.229 * [taylor]: Taking taylor expansion of (+ n f) in f 2.229 * [taylor]: Taking taylor expansion of n in f 2.229 * [backup-simplify]: Simplify n into n 2.229 * [taylor]: Taking taylor expansion of f in f 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.229 * [taylor]: Taking taylor expansion of (- f n) in f 2.230 * [taylor]: Taking taylor expansion of f in f 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of n in f 2.230 * [backup-simplify]: Simplify n into n 2.230 * [backup-simplify]: Simplify (+ n 0) into n 2.230 * [backup-simplify]: Simplify (- n) into (- n) 2.230 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.230 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.230 * [backup-simplify]: Simplify (* -1 -1) into 1 2.230 * [backup-simplify]: Simplify (exp 1) into E 2.230 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.230 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.230 * [taylor]: Taking taylor expansion of -1 in f 2.231 * [backup-simplify]: Simplify -1 into -1 2.231 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.231 * [taylor]: Taking taylor expansion of (+ n f) in f 2.231 * [taylor]: Taking taylor expansion of n in f 2.231 * [backup-simplify]: Simplify n into n 2.231 * [taylor]: Taking taylor expansion of f in f 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (- f n) in f 2.231 * [taylor]: Taking taylor expansion of f in f 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of n in f 2.231 * [backup-simplify]: Simplify n into n 2.231 * [backup-simplify]: Simplify (+ n 0) into n 2.231 * [backup-simplify]: Simplify (- n) into (- n) 2.231 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.231 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.232 * [backup-simplify]: Simplify (* -1 -1) into 1 2.232 * [backup-simplify]: Simplify (exp 1) into E 2.232 * [taylor]: Taking taylor expansion of E in n 2.232 * [backup-simplify]: Simplify E into E 2.232 * [backup-simplify]: Simplify E into E 2.233 * [backup-simplify]: Simplify (+ 0 1) into 1 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.234 * [backup-simplify]: Simplify (+ 1 0) into 1 2.234 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.235 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.236 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.236 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 2.236 * [taylor]: Taking taylor expansion of 2 in n 2.236 * [backup-simplify]: Simplify 2 into 2 2.236 * [taylor]: Taking taylor expansion of (/ E n) in n 2.236 * [taylor]: Taking taylor expansion of E in n 2.236 * [backup-simplify]: Simplify E into E 2.236 * [taylor]: Taking taylor expansion of n in n 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (/ E 1) into E 2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (- 0) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.241 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.242 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 2.242 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 2.242 * [taylor]: Taking taylor expansion of 4 in n 2.242 * [backup-simplify]: Simplify 4 into 4 2.242 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 2.242 * [taylor]: Taking taylor expansion of E in n 2.242 * [backup-simplify]: Simplify E into E 2.242 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.242 * [taylor]: Taking taylor expansion of n in n 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (/ E 1) into E 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (- 0) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.254 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.255 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 2.255 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 2.255 * [taylor]: Taking taylor expansion of 22/3 in n 2.255 * [backup-simplify]: Simplify 22/3 into 22/3 2.255 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 2.255 * [taylor]: Taking taylor expansion of E in n 2.255 * [backup-simplify]: Simplify E into E 2.255 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.255 * [taylor]: Taking taylor expansion of n in n 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (/ E 1) into E 2.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify E into E 2.267 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2.267 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.267 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.267 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.267 * [taylor]: Taking taylor expansion of -1 in n 2.267 * [backup-simplify]: Simplify -1 into -1 2.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.267 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.267 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.267 * [taylor]: Taking taylor expansion of f in n 2.267 * [backup-simplify]: Simplify f into f 2.267 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.267 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.267 * [taylor]: Taking taylor expansion of n in n 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ 1 1) into 1 2.268 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.268 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.268 * [taylor]: Taking taylor expansion of f in n 2.268 * [backup-simplify]: Simplify f into f 2.268 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.268 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.268 * [taylor]: Taking taylor expansion of n in n 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [backup-simplify]: Simplify (+ 0 1) into 1 2.269 * [backup-simplify]: Simplify (- 1) into -1 2.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.270 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.271 * [backup-simplify]: Simplify (* -1 -1) into 1 2.271 * [backup-simplify]: Simplify (exp 1) into E 2.271 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.271 * [taylor]: Taking taylor expansion of -1 in f 2.271 * [backup-simplify]: Simplify -1 into -1 2.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.271 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.271 * [taylor]: Taking taylor expansion of f in f 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (/ 1 1) into 1 2.271 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.271 * [taylor]: Taking taylor expansion of n in f 2.271 * [backup-simplify]: Simplify n into n 2.272 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.272 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.272 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.272 * [taylor]: Taking taylor expansion of f in f 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.272 * [taylor]: Taking taylor expansion of n in f 2.272 * [backup-simplify]: Simplify n into n 2.272 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.273 * [backup-simplify]: Simplify (+ 1 0) into 1 2.273 * [backup-simplify]: Simplify (+ 1 0) into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [backup-simplify]: Simplify (* -1 1) into -1 2.274 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.274 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.274 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.275 * [taylor]: Taking taylor expansion of -1 in f 2.275 * [backup-simplify]: Simplify -1 into -1 2.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.275 * [taylor]: Taking taylor expansion of f in f 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (/ 1 1) into 1 2.275 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.275 * [taylor]: Taking taylor expansion of n in f 2.275 * [backup-simplify]: Simplify n into n 2.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.275 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.275 * [taylor]: Taking taylor expansion of f in f 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.276 * [taylor]: Taking taylor expansion of n in f 2.276 * [backup-simplify]: Simplify n into n 2.276 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.276 * [backup-simplify]: Simplify (+ 1 0) into 1 2.277 * [backup-simplify]: Simplify (+ 1 0) into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.278 * [backup-simplify]: Simplify (* -1 1) into -1 2.278 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.278 * [taylor]: Taking taylor expansion of (exp -1) in n 2.278 * [taylor]: Taking taylor expansion of -1 in n 2.278 * [backup-simplify]: Simplify -1 into -1 2.279 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.279 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.281 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.281 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.282 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.283 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.283 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.283 * [taylor]: Taking taylor expansion of -2 in n 2.283 * [backup-simplify]: Simplify -2 into -2 2.283 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.283 * [taylor]: Taking taylor expansion of (exp -1) in n 2.283 * [taylor]: Taking taylor expansion of -1 in n 2.283 * [backup-simplify]: Simplify -1 into -1 2.283 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.283 * [taylor]: Taking taylor expansion of n in n 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.285 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.292 * [backup-simplify]: Simplify (- 0) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.294 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.295 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.295 * [taylor]: Taking taylor expansion of 0 in n 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.308 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.309 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.309 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.309 * [taylor]: Taking taylor expansion of 2/3 in n 2.309 * [backup-simplify]: Simplify 2/3 into 2/3 2.309 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.309 * [taylor]: Taking taylor expansion of (exp -1) in n 2.309 * [taylor]: Taking taylor expansion of -1 in n 2.309 * [backup-simplify]: Simplify -1 into -1 2.310 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.310 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.310 * [taylor]: Taking taylor expansion of n in n 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (* 1 1) into 1 2.311 * [backup-simplify]: Simplify (* 1 1) into 1 2.311 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.313 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.321 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.325 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.325 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.325 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.325 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.325 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.325 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.325 * [taylor]: Taking taylor expansion of f in n 2.325 * [backup-simplify]: Simplify f into f 2.325 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.325 * [taylor]: Taking taylor expansion of n in n 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (/ 1 1) into 1 2.325 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.326 * [taylor]: Taking taylor expansion of n in n 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.326 * [taylor]: Taking taylor expansion of f in n 2.326 * [backup-simplify]: Simplify f into f 2.326 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.326 * [backup-simplify]: Simplify (+ 0 1) into 1 2.327 * [backup-simplify]: Simplify (+ 1 0) into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [backup-simplify]: Simplify (exp 1) into E 2.327 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.328 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.328 * [taylor]: Taking taylor expansion of f in f 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (/ 1 1) into 1 2.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.328 * [taylor]: Taking taylor expansion of n in f 2.328 * [backup-simplify]: Simplify n into n 2.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.328 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.328 * [taylor]: Taking taylor expansion of n in f 2.328 * [backup-simplify]: Simplify n into n 2.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.328 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.328 * [taylor]: Taking taylor expansion of f in f 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [backup-simplify]: Simplify (+ 1 0) into 1 2.330 * [backup-simplify]: Simplify (- 1) into -1 2.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.330 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.331 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.331 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.331 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.331 * [taylor]: Taking taylor expansion of f in f 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.332 * [taylor]: Taking taylor expansion of n in f 2.332 * [backup-simplify]: Simplify n into n 2.332 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.332 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.332 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.332 * [taylor]: Taking taylor expansion of n in f 2.332 * [backup-simplify]: Simplify n into n 2.332 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.332 * [taylor]: Taking taylor expansion of f in f 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.333 * [backup-simplify]: Simplify (+ 1 0) into 1 2.333 * [backup-simplify]: Simplify (- 1) into -1 2.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.334 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.334 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.334 * [taylor]: Taking taylor expansion of (exp -1) in n 2.335 * [taylor]: Taking taylor expansion of -1 in n 2.335 * [backup-simplify]: Simplify -1 into -1 2.335 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.335 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (- 0) into 0 2.338 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.338 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.338 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.339 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.339 * [taylor]: Taking taylor expansion of -2 in n 2.339 * [backup-simplify]: Simplify -2 into -2 2.339 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.339 * [taylor]: Taking taylor expansion of (exp -1) in n 2.339 * [taylor]: Taking taylor expansion of -1 in n 2.339 * [backup-simplify]: Simplify -1 into -1 2.339 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.339 * [taylor]: Taking taylor expansion of n in n 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.342 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (- 0) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.355 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.355 * [taylor]: Taking taylor expansion of 0 in n 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.362 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.365 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.366 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.366 * [taylor]: Taking taylor expansion of 2/3 in n 2.366 * [backup-simplify]: Simplify 2/3 into 2/3 2.366 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.366 * [taylor]: Taking taylor expansion of (exp -1) in n 2.366 * [taylor]: Taking taylor expansion of -1 in n 2.366 * [backup-simplify]: Simplify -1 into -1 2.366 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.366 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.366 * [taylor]: Taking taylor expansion of n in n 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.367 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.368 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.373 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.376 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.376 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 2.376 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.376 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.376 * [taylor]: Taking taylor expansion of -1 in n 2.376 * [backup-simplify]: Simplify -1 into -1 2.376 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.376 * [taylor]: Taking taylor expansion of (+ n f) in n 2.376 * [taylor]: Taking taylor expansion of n in n 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [taylor]: Taking taylor expansion of f in n 2.376 * [backup-simplify]: Simplify f into f 2.376 * [taylor]: Taking taylor expansion of (- f n) in n 2.376 * [taylor]: Taking taylor expansion of f in n 2.376 * [backup-simplify]: Simplify f into f 2.376 * [taylor]: Taking taylor expansion of n in n 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (+ 0 f) into f 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ f 0) into f 2.376 * [backup-simplify]: Simplify (/ f f) into 1 2.376 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.376 * [taylor]: Taking taylor expansion of -1 in f 2.376 * [backup-simplify]: Simplify -1 into -1 2.376 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.377 * [taylor]: Taking taylor expansion of (+ n f) in f 2.377 * [taylor]: Taking taylor expansion of n in f 2.377 * [backup-simplify]: Simplify n into n 2.377 * [taylor]: Taking taylor expansion of f in f 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [taylor]: Taking taylor expansion of (- f n) in f 2.377 * [taylor]: Taking taylor expansion of f in f 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [taylor]: Taking taylor expansion of n in f 2.377 * [backup-simplify]: Simplify n into n 2.377 * [backup-simplify]: Simplify (+ n 0) into n 2.377 * [backup-simplify]: Simplify (- n) into (- n) 2.377 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.377 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.377 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.377 * [taylor]: Taking taylor expansion of -1 in f 2.377 * [backup-simplify]: Simplify -1 into -1 2.377 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.377 * [taylor]: Taking taylor expansion of (+ n f) in f 2.377 * [taylor]: Taking taylor expansion of n in f 2.377 * [backup-simplify]: Simplify n into n 2.377 * [taylor]: Taking taylor expansion of f in f 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [taylor]: Taking taylor expansion of (- f n) in f 2.377 * [taylor]: Taking taylor expansion of f in f 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [taylor]: Taking taylor expansion of n in f 2.377 * [backup-simplify]: Simplify n into n 2.377 * [backup-simplify]: Simplify (+ n 0) into n 2.377 * [backup-simplify]: Simplify (- n) into (- n) 2.377 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.377 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.378 * [backup-simplify]: Simplify (* -1 -1) into 1 2.378 * [taylor]: Taking taylor expansion of 1 in n 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (+ 0 1) into 1 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [backup-simplify]: Simplify (+ 1 0) into 1 2.378 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.379 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.379 * [taylor]: Taking taylor expansion of 2 in n 2.379 * [backup-simplify]: Simplify 2 into 2 2.379 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.379 * [taylor]: Taking taylor expansion of n in n 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (/ 1 1) into 1 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.381 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.382 * [taylor]: Taking taylor expansion of 2 in n 2.382 * [backup-simplify]: Simplify 2 into 2 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.382 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.382 * [taylor]: Taking taylor expansion of n in n 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.382 * [backup-simplify]: Simplify (* 1 1) into 1 2.382 * [backup-simplify]: Simplify (/ 1 1) into 1 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.386 * [backup-simplify]: Simplify (- 0) into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.387 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.387 * [taylor]: Taking taylor expansion of 2 in n 2.387 * [backup-simplify]: Simplify 2 into 2 2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.387 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.387 * [taylor]: Taking taylor expansion of n in n 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (* 1 1) into 1 2.388 * [backup-simplify]: Simplify (* 1 1) into 1 2.388 * [backup-simplify]: Simplify (/ 1 1) into 1 2.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.394 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.394 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.394 * [taylor]: Taking taylor expansion of -1 in n 2.394 * [backup-simplify]: Simplify -1 into -1 2.394 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.394 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.394 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.394 * [taylor]: Taking taylor expansion of f in n 2.394 * [backup-simplify]: Simplify f into f 2.394 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.394 * [taylor]: Taking taylor expansion of n in n 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (/ 1 1) into 1 2.394 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.394 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.394 * [taylor]: Taking taylor expansion of f in n 2.394 * [backup-simplify]: Simplify f into f 2.394 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.394 * [taylor]: Taking taylor expansion of n in n 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [backup-simplify]: Simplify (+ 0 1) into 1 2.395 * [backup-simplify]: Simplify (- 1) into -1 2.395 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.396 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.396 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.396 * [taylor]: Taking taylor expansion of -1 in f 2.396 * [backup-simplify]: Simplify -1 into -1 2.396 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.396 * [taylor]: Taking taylor expansion of f in f 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (/ 1 1) into 1 2.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.396 * [taylor]: Taking taylor expansion of n in f 2.396 * [backup-simplify]: Simplify n into n 2.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.396 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.396 * [taylor]: Taking taylor expansion of f in f 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (/ 1 1) into 1 2.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.396 * [taylor]: Taking taylor expansion of n in f 2.397 * [backup-simplify]: Simplify n into n 2.397 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.397 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.397 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.397 * [taylor]: Taking taylor expansion of -1 in f 2.397 * [backup-simplify]: Simplify -1 into -1 2.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.397 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.397 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.397 * [taylor]: Taking taylor expansion of f in f 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.398 * [taylor]: Taking taylor expansion of n in f 2.398 * [backup-simplify]: Simplify n into n 2.398 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.398 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.398 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.398 * [taylor]: Taking taylor expansion of f in f 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.398 * [taylor]: Taking taylor expansion of n in f 2.398 * [backup-simplify]: Simplify n into n 2.398 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.398 * [backup-simplify]: Simplify (+ 1 0) into 1 2.399 * [backup-simplify]: Simplify (+ 1 0) into 1 2.399 * [backup-simplify]: Simplify (/ 1 1) into 1 2.399 * [backup-simplify]: Simplify (* -1 1) into -1 2.399 * [taylor]: Taking taylor expansion of -1 in n 2.399 * [backup-simplify]: Simplify -1 into -1 2.399 * [backup-simplify]: Simplify -1 into -1 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.400 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.401 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.401 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.401 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.401 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.401 * [taylor]: Taking taylor expansion of 2 in n 2.401 * [backup-simplify]: Simplify 2 into 2 2.401 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.401 * [taylor]: Taking taylor expansion of n in n 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (/ 1 1) into 1 2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.402 * [backup-simplify]: Simplify (- 0) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.403 * [backup-simplify]: Simplify (+ 0 0) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.404 * [backup-simplify]: Simplify (- 0) into 0 2.404 * [backup-simplify]: Simplify (+ 0 0) into 0 2.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.405 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.406 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.406 * [taylor]: Taking taylor expansion of 2 in n 2.406 * [backup-simplify]: Simplify 2 into 2 2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.406 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.406 * [taylor]: Taking taylor expansion of n in n 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [backup-simplify]: Simplify (* 1 1) into 1 2.406 * [backup-simplify]: Simplify (/ 1 1) into 1 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.409 * [backup-simplify]: Simplify (- 0) into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.410 * [backup-simplify]: Simplify (- 0) into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.412 * [backup-simplify]: Simplify (- 0) into 0 2.412 * [backup-simplify]: Simplify (+ 0 0) into 0 2.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.414 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.414 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.414 * [taylor]: Taking taylor expansion of 2 in n 2.414 * [backup-simplify]: Simplify 2 into 2 2.414 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.414 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.414 * [taylor]: Taking taylor expansion of n in n 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.415 * [backup-simplify]: Simplify (/ 1 1) into 1 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (- 0) into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify -1 into -1 2.423 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.423 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.423 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.423 * [taylor]: Taking taylor expansion of f in n 2.423 * [backup-simplify]: Simplify f into f 2.423 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.424 * [taylor]: Taking taylor expansion of n in n 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.424 * [taylor]: Taking taylor expansion of f in n 2.424 * [backup-simplify]: Simplify f into f 2.425 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.425 * [backup-simplify]: Simplify (+ 0 1) into 1 2.425 * [backup-simplify]: Simplify (+ 1 0) into 1 2.426 * [backup-simplify]: Simplify (/ 1 1) into 1 2.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.426 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.426 * [taylor]: Taking taylor expansion of f in f 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (/ 1 1) into 1 2.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.426 * [taylor]: Taking taylor expansion of n in f 2.426 * [backup-simplify]: Simplify n into n 2.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.426 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.426 * [taylor]: Taking taylor expansion of n in f 2.426 * [backup-simplify]: Simplify n into n 2.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.426 * [taylor]: Taking taylor expansion of f in f 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (/ 1 1) into 1 2.427 * [backup-simplify]: Simplify (+ 1 0) into 1 2.427 * [backup-simplify]: Simplify (- 1) into -1 2.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.428 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.428 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.428 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.428 * [taylor]: Taking taylor expansion of f in f 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (/ 1 1) into 1 2.428 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.428 * [taylor]: Taking taylor expansion of n in f 2.428 * [backup-simplify]: Simplify n into n 2.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.428 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.428 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.428 * [taylor]: Taking taylor expansion of n in f 2.428 * [backup-simplify]: Simplify n into n 2.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.428 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.428 * [taylor]: Taking taylor expansion of f in f 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (/ 1 1) into 1 2.429 * [backup-simplify]: Simplify (+ 1 0) into 1 2.429 * [backup-simplify]: Simplify (- 1) into -1 2.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.429 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.430 * [taylor]: Taking taylor expansion of -1 in n 2.430 * [backup-simplify]: Simplify -1 into -1 2.430 * [backup-simplify]: Simplify -1 into -1 2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (- 0) into 0 2.431 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.431 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.431 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.431 * [taylor]: Taking taylor expansion of 2 in n 2.431 * [backup-simplify]: Simplify 2 into 2 2.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.431 * [taylor]: Taking taylor expansion of n in n 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [backup-simplify]: Simplify (/ 1 1) into 1 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- 0) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.435 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.435 * [taylor]: Taking taylor expansion of 2 in n 2.435 * [backup-simplify]: Simplify 2 into 2 2.435 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.435 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.435 * [taylor]: Taking taylor expansion of n in n 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (* 1 1) into 1 2.436 * [backup-simplify]: Simplify (/ 1 1) into 1 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.438 * [backup-simplify]: Simplify (- 0) into 0 2.438 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.440 * [backup-simplify]: Simplify (- 0) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.441 * [backup-simplify]: Simplify (+ 0 0) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (- 0) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.443 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.443 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.443 * [taylor]: Taking taylor expansion of 2 in n 2.443 * [backup-simplify]: Simplify 2 into 2 2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.443 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (/ 1 1) into 1 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (- 0) into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify -1 into -1 2.452 * * * [progress]: simplifying candidates 2.458 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ 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(exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (sqrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 2.465 * * [simplify]: iteration 0: 241 enodes 2.515 * * [simplify]: iteration 1: 441 enodes 2.624 * * [simplify]: iteration 2: 1330 enodes 2.995 * * [simplify]: iteration complete: 5001 enodes 2.995 * * [simplify]: Extracting #0: cost 132 inf + 0 2.996 * * [simplify]: Extracting #1: cost 677 inf + 4 2.999 * * [simplify]: Extracting #2: cost 1331 inf + 3241 3.011 * * [simplify]: Extracting #3: cost 1489 inf + 75337 3.053 * * [simplify]: Extracting #4: cost 601 inf + 268446 3.119 * * [simplify]: Extracting #5: cost 75 inf + 398200 3.196 * * [simplify]: Extracting #6: cost 29 inf + 416009 3.272 * * [simplify]: Extracting #7: cost 5 inf + 419806 3.344 * * [simplify]: Extracting #8: cost 0 inf + 421069 3.424 * [simplify]: Simplified to: (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (cbrt (- (/ (+ f n) (- f n)))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (+ f n) (+ (- f) n) 0 (/ (+ f n) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (* (/ (cbrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (/ (+ (sqrt n) (sqrt f)) (- (cbrt (+ f 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 n) (sqrt f)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (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))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ f n) (- f n)) (/ (- (/ (+ f n) (cbrt (- f n)))) (cbrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ 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) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- f n) (- f n)) (exp (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n)))))) (exp (sqrt (- (/ (+ f n) (- f n))))) (exp (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n))))) (exp (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f)))))) (exp (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) (exp (* (/ (cbrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (cbrt (- (+ n f))))) (exp (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) (exp (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n)))) (exp (/ (sqrt (- (+ n f))) (sqrt (- f n)))) (exp (sqrt (- (+ n f)))) (exp (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f)))) (exp (sqrt (- (+ n f)))) (exp (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt n) (sqrt f)))) E (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt n) (sqrt f)))) (exp -1) (exp (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))))) (exp (/ (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (sqrt (- f n)))) (exp (* (cbrt (+ f n)) (- (cbrt (+ f n))))) (exp (/ (cbrt (+ f n)) (/ (+ (sqrt n) (sqrt f)) (- (cbrt (+ f n)))))) (exp (* (cbrt (+ f n)) (- (cbrt (+ f n))))) (exp (/ (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (- f n)))) (exp (- (/ (sqrt (+ f n)) (sqrt (- f n))))) (exp (- (sqrt (+ f n)))) (exp (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))))) (exp (- (sqrt (+ f n)))) (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt n) (sqrt f)))) (exp -1) (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt n) (sqrt f)))) (exp -1) (exp (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n)))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (exp (sqrt 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f n)) (/ (+ (sqrt n) (sqrt f)) (- (cbrt (+ f n))))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (- (sqrt (+ f n))) (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (- (sqrt (+ f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (sqrt (+ f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 1 (- (+ n f)) (/ (- (+ n f)) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (cbrt (- (/ (+ f n) (- f n)))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 3.439 * * * [progress]: adding candidates to table 4.637 * * [progress]: iteration 3 / 4 4.637 * * * [progress]: picking best candidate 4.650 * * * * [pick]: Picked # 4.650 * * * [progress]: localizing error 4.673 * * * [progress]: generating rewritten candidates 4.673 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.915 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.946 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 4.994 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.118 * * * [progress]: generating series expansions 5.118 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.119 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) into (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) 5.119 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in (f n) around 0 5.119 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in n 5.119 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.119 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.119 * [taylor]: Taking taylor expansion of -1 in n 5.119 * [backup-simplify]: Simplify -1 into -1 5.120 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.121 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.121 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 5.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 5.121 * [taylor]: Taking taylor expansion of 1/3 in n 5.122 * [backup-simplify]: Simplify 1/3 into 1/3 5.122 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 5.122 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 5.122 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 5.122 * [taylor]: Taking taylor expansion of (+ n f) in n 5.122 * [taylor]: Taking taylor expansion of n in n 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [taylor]: Taking taylor expansion of f in n 5.122 * [backup-simplify]: Simplify f into f 5.122 * [backup-simplify]: Simplify (+ 0 f) into f 5.122 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 5.122 * [taylor]: Taking taylor expansion of (- f n) in n 5.122 * [taylor]: Taking taylor expansion of f in n 5.122 * [backup-simplify]: Simplify f into f 5.122 * [taylor]: Taking taylor expansion of n in n 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (- 0) into 0 5.123 * [backup-simplify]: Simplify (+ f 0) into f 5.123 * [backup-simplify]: Simplify (* f f) into (pow f 2) 5.123 * [backup-simplify]: Simplify (* f f) into (pow f 2) 5.123 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 5.124 * [backup-simplify]: Simplify (log 1) into 0 5.124 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.125 * [backup-simplify]: Simplify (+ 1 0) into 1 5.125 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 5.125 * [backup-simplify]: Simplify (- 1) into -1 5.126 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.126 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 5.126 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 5.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 5.128 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 5.128 * [backup-simplify]: Simplify (exp 0) into 1 5.128 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 5.128 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 5.128 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.128 * [taylor]: Taking taylor expansion of -1 in f 5.128 * [backup-simplify]: Simplify -1 into -1 5.128 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.129 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.129 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 5.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 5.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 5.129 * [taylor]: Taking taylor expansion of 1/3 in f 5.129 * [backup-simplify]: Simplify 1/3 into 1/3 5.129 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 5.129 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 5.129 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 5.129 * [taylor]: Taking taylor expansion of (+ n f) in f 5.129 * [taylor]: Taking taylor expansion of n in f 5.129 * [backup-simplify]: Simplify n into n 5.130 * [taylor]: Taking taylor expansion of f in f 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [backup-simplify]: Simplify (+ n 0) into n 5.130 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 5.130 * [taylor]: Taking taylor expansion of (- f n) in f 5.130 * [taylor]: Taking taylor expansion of f in f 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [taylor]: Taking taylor expansion of n in f 5.130 * [backup-simplify]: Simplify n into n 5.130 * [backup-simplify]: Simplify (- n) into (- n) 5.130 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.130 * [backup-simplify]: Simplify (* n n) into (pow n 2) 5.130 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 5.130 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 5.131 * [backup-simplify]: Simplify (log 1) into 0 5.131 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.132 * [backup-simplify]: Simplify (+ 0 1) into 1 5.132 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 5.132 * [backup-simplify]: Simplify (- 0) into 0 5.133 * [backup-simplify]: Simplify (+ 1 0) into 1 5.133 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 5.133 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 5.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 5.134 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 5.135 * [backup-simplify]: Simplify (exp 0) into 1 5.135 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 5.135 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 5.135 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.135 * [taylor]: Taking taylor expansion of -1 in f 5.135 * [backup-simplify]: Simplify -1 into -1 5.135 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.136 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.136 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 5.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 5.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 5.137 * [taylor]: Taking taylor expansion of 1/3 in f 5.137 * [backup-simplify]: Simplify 1/3 into 1/3 5.137 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 5.137 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 5.137 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 5.137 * [taylor]: Taking taylor expansion of (+ n f) in f 5.137 * [taylor]: Taking taylor expansion of n in f 5.137 * [backup-simplify]: Simplify n into n 5.137 * [taylor]: Taking taylor expansion of f in f 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (+ n 0) into n 5.137 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 5.137 * [taylor]: Taking taylor expansion of (- f n) in f 5.137 * [taylor]: Taking taylor expansion of f in f 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [taylor]: Taking taylor expansion of n in f 5.137 * [backup-simplify]: Simplify n into n 5.137 * [backup-simplify]: Simplify (- n) into (- n) 5.137 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.137 * [backup-simplify]: Simplify (* n n) into (pow n 2) 5.137 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 5.138 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 5.138 * [backup-simplify]: Simplify (log 1) into 0 5.139 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.139 * [backup-simplify]: Simplify (+ 0 1) into 1 5.139 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 5.140 * [backup-simplify]: Simplify (- 0) into 0 5.140 * [backup-simplify]: Simplify (+ 1 0) into 1 5.140 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 5.141 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 5.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 5.142 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 5.142 * [backup-simplify]: Simplify (exp 0) into 1 5.144 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.146 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 5.146 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.146 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.146 * [taylor]: Taking taylor expansion of -1 in n 5.146 * [backup-simplify]: Simplify -1 into -1 5.146 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.147 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.148 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.149 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 5.150 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 5.150 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.152 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 4/3 n)) (* 0 1)) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 5.152 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 5.152 * [taylor]: Taking taylor expansion of 4/3 in n 5.152 * [backup-simplify]: Simplify 4/3 into 4/3 5.152 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 5.152 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.152 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.152 * [taylor]: Taking taylor expansion of -1 in n 5.153 * [backup-simplify]: Simplify -1 into -1 5.153 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.154 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.154 * [taylor]: Taking taylor expansion of n in n 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.157 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 5.158 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 5.164 * [backup-simplify]: Simplify (- 0) into 0 5.164 * [backup-simplify]: Simplify (+ 0 0) into 0 5.165 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 5.166 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 5.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 5.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 5.169 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 5.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.172 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.174 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 5.174 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 5.174 * [taylor]: Taking taylor expansion of 8/9 in n 5.174 * [backup-simplify]: Simplify 8/9 into 8/9 5.174 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 5.174 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.174 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.174 * [taylor]: Taking taylor expansion of -1 in n 5.174 * [backup-simplify]: Simplify -1 into -1 5.175 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.175 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.176 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.176 * [taylor]: Taking taylor expansion of n in n 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.177 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.177 * [backup-simplify]: Simplify (* 1 1) into 1 5.179 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 5.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.182 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.184 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.189 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 5.189 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.192 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 5.195 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.198 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify (+ 0 0) into 0 5.208 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 5.209 * [backup-simplify]: Simplify (- 0) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.211 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 5.212 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 5.215 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 5.216 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 5.217 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 5.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.220 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.222 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 68/81 (pow n 3))) (+ (* 0 (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1)))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 5.223 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 5.223 * [taylor]: Taking taylor expansion of 68/81 in n 5.223 * [backup-simplify]: Simplify 68/81 into 68/81 5.223 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 5.223 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.223 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.223 * [taylor]: Taking taylor expansion of -1 in n 5.223 * [backup-simplify]: Simplify -1 into -1 5.223 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.224 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.224 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.224 * [taylor]: Taking taylor expansion of n in n 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.226 * [backup-simplify]: Simplify (* 1 1) into 1 5.226 * [backup-simplify]: Simplify (* 1 1) into 1 5.228 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 5.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.232 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.242 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 5.249 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) 5.249 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in (f n) around 0 5.249 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in n 5.249 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 5.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 5.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 5.249 * [taylor]: Taking taylor expansion of 1/3 in n 5.249 * [backup-simplify]: Simplify 1/3 into 1/3 5.249 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 5.249 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 5.249 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 5.249 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.249 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.249 * [taylor]: Taking taylor expansion of f in n 5.249 * [backup-simplify]: Simplify f into f 5.249 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.249 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.249 * [taylor]: Taking taylor expansion of n in n 5.249 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (/ 1 1) into 1 5.250 * [backup-simplify]: Simplify (+ 0 1) into 1 5.250 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 5.250 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.250 * [taylor]: Taking taylor expansion of f in n 5.250 * [backup-simplify]: Simplify f into f 5.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 5.251 * [backup-simplify]: Simplify 1 into 1 5.251 * [backup-simplify]: Simplify (/ 1 1) into 1 5.251 * [backup-simplify]: Simplify (- 1) into -1 5.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.252 * [backup-simplify]: Simplify (* 1 1) into 1 5.252 * [backup-simplify]: Simplify (* -1 -1) into 1 5.253 * [backup-simplify]: Simplify (/ 1 1) into 1 5.253 * [backup-simplify]: Simplify (log 1) into 0 5.254 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.255 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 5.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (- 0) into 0 5.256 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.256 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 5.257 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 5.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 5.258 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 5.258 * [backup-simplify]: Simplify (exp 0) into 1 5.258 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.258 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.258 * [taylor]: Taking taylor expansion of -1 in n 5.258 * [backup-simplify]: Simplify -1 into -1 5.258 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.259 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.259 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 5.259 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 5.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 5.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 5.260 * [taylor]: Taking taylor expansion of 1/3 in f 5.260 * [backup-simplify]: Simplify 1/3 into 1/3 5.260 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 5.260 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 5.260 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 5.260 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.260 * [taylor]: Taking taylor expansion of f in f 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.260 * [taylor]: Taking taylor expansion of n in f 5.260 * [backup-simplify]: Simplify n into n 5.261 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.261 * [backup-simplify]: Simplify (+ 1 0) into 1 5.261 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 5.261 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.261 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.261 * [taylor]: Taking taylor expansion of f in f 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (/ 1 1) into 1 5.262 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.262 * [taylor]: Taking taylor expansion of n in f 5.262 * [backup-simplify]: Simplify n into n 5.262 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.262 * [backup-simplify]: Simplify (+ 1 0) into 1 5.262 * [backup-simplify]: Simplify (* 1 1) into 1 5.263 * [backup-simplify]: Simplify (* 1 1) into 1 5.263 * [backup-simplify]: Simplify (/ 1 1) into 1 5.264 * [backup-simplify]: Simplify (log 1) into 0 5.264 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.265 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 5.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.266 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.266 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 5.267 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 5.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 5.268 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 5.268 * [backup-simplify]: Simplify (exp 0) into 1 5.268 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 5.268 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.268 * [taylor]: Taking taylor expansion of -1 in f 5.268 * [backup-simplify]: Simplify -1 into -1 5.268 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.269 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.269 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 5.269 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 5.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 5.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 5.269 * [taylor]: Taking taylor expansion of 1/3 in f 5.269 * [backup-simplify]: Simplify 1/3 into 1/3 5.269 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 5.269 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 5.269 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 5.269 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.269 * [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 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 5.271 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.271 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.271 * [taylor]: Taking taylor expansion of f in f 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 1 into 1 5.271 * [backup-simplify]: Simplify (/ 1 1) into 1 5.271 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.271 * [taylor]: Taking taylor expansion of n in f 5.271 * [backup-simplify]: Simplify n into n 5.271 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.272 * [backup-simplify]: Simplify (+ 1 0) into 1 5.272 * [backup-simplify]: Simplify (* 1 1) into 1 5.272 * [backup-simplify]: Simplify (* 1 1) into 1 5.273 * [backup-simplify]: Simplify (/ 1 1) into 1 5.273 * [backup-simplify]: Simplify (log 1) into 0 5.274 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.275 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.276 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.276 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 5.276 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 5.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 5.277 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 5.277 * [backup-simplify]: Simplify (exp 0) into 1 5.277 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 5.277 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.277 * [taylor]: Taking taylor expansion of -1 in f 5.277 * [backup-simplify]: Simplify -1 into -1 5.278 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.279 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.280 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.282 * [backup-simplify]: Simplify (* 1 (pow (cbrt -1) 2)) into (pow (cbrt -1) 2) 5.282 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.282 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.282 * [taylor]: Taking taylor expansion of -1 in n 5.282 * [backup-simplify]: Simplify -1 into -1 5.282 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.283 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.284 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.285 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 5.286 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.287 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 5.288 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 4/3 n) (pow (cbrt -1) 2))) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 5.288 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 5.288 * [taylor]: Taking taylor expansion of 4/3 in n 5.288 * [backup-simplify]: Simplify 4/3 into 4/3 5.288 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 5.288 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.288 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.289 * [taylor]: Taking taylor expansion of -1 in n 5.289 * [backup-simplify]: Simplify -1 into -1 5.289 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.290 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.290 * [taylor]: Taking taylor expansion of n in n 5.290 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.293 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 5.294 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 5.296 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.299 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.301 * [backup-simplify]: Simplify (- 0) into 0 5.301 * [backup-simplify]: Simplify (+ 0 0) into 0 5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 5.302 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 5.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 5.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 5.304 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 5.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (* (/ 8/9 (pow n 2)) (pow (cbrt -1) 2)))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 5.305 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 5.305 * [taylor]: Taking taylor expansion of 8/9 in n 5.305 * [backup-simplify]: Simplify 8/9 into 8/9 5.305 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 5.305 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.306 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.306 * [taylor]: Taking taylor expansion of -1 in n 5.306 * [backup-simplify]: Simplify -1 into -1 5.306 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.306 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.306 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.306 * [taylor]: Taking taylor expansion of n in n 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.307 * [backup-simplify]: Simplify (* 1 1) into 1 5.308 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 5.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.310 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.311 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 5.314 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.315 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.317 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 5.317 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.318 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.320 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 5.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.322 * [backup-simplify]: Simplify (- 0) into 0 5.323 * [backup-simplify]: Simplify (+ 0 0) into 0 5.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 5.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 5.326 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 5.326 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 5.327 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 5.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (+ (* (/ 8/9 (pow n 2)) 0) (* (/ 68/81 (pow n 3)) (pow (cbrt -1) 2))))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 5.328 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 5.328 * [taylor]: Taking taylor expansion of 68/81 in n 5.329 * [backup-simplify]: Simplify 68/81 into 68/81 5.329 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 5.329 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 5.329 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.329 * [taylor]: Taking taylor expansion of -1 in n 5.329 * [backup-simplify]: Simplify -1 into -1 5.329 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.329 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.329 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.329 * [taylor]: Taking taylor expansion of n in n 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.331 * [backup-simplify]: Simplify (* 1 1) into 1 5.331 * [backup-simplify]: Simplify (* 1 1) into 1 5.333 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 5.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.343 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.348 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.352 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 5.357 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 5.359 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 5.359 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 5.359 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 5.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 5.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 5.360 * [taylor]: Taking taylor expansion of 1/3 in n 5.360 * [backup-simplify]: Simplify 1/3 into 1/3 5.360 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 5.360 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 5.360 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 5.360 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.360 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.360 * [taylor]: Taking taylor expansion of f in n 5.360 * [backup-simplify]: Simplify f into f 5.360 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.360 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.360 * [taylor]: Taking taylor expansion of n in n 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.361 * [backup-simplify]: Simplify (/ 1 1) into 1 5.361 * [backup-simplify]: Simplify (+ 0 1) into 1 5.361 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 5.361 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.361 * [taylor]: Taking taylor expansion of n in n 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 1 into 1 5.362 * [backup-simplify]: Simplify (/ 1 1) into 1 5.362 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.362 * [taylor]: Taking taylor expansion of f in n 5.362 * [backup-simplify]: Simplify f into f 5.362 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.362 * [backup-simplify]: Simplify (+ 1 0) into 1 5.363 * [backup-simplify]: Simplify (* 1 1) into 1 5.363 * [backup-simplify]: Simplify (* 1 1) into 1 5.364 * [backup-simplify]: Simplify (/ 1 1) into 1 5.364 * [backup-simplify]: Simplify (log 1) into 0 5.365 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.366 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 5.367 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 5.367 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 5.367 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 5.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 5.368 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 5.369 * [backup-simplify]: Simplify (exp 0) into 1 5.369 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 5.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 5.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 5.369 * [taylor]: Taking taylor expansion of 1/3 in f 5.369 * [backup-simplify]: Simplify 1/3 into 1/3 5.369 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 5.369 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 5.369 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 5.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.369 * [taylor]: Taking taylor expansion of f in f 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (/ 1 1) into 1 5.369 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.369 * [taylor]: Taking taylor expansion of n in f 5.369 * [backup-simplify]: Simplify n into n 5.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.370 * [backup-simplify]: Simplify (+ 1 0) into 1 5.370 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 5.370 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.370 * [taylor]: Taking taylor expansion of n in f 5.370 * [backup-simplify]: Simplify n into n 5.370 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.370 * [taylor]: Taking taylor expansion of f in f 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (/ 1 1) into 1 5.371 * [backup-simplify]: Simplify (- 1) into -1 5.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.372 * [backup-simplify]: Simplify (* 1 1) into 1 5.372 * [backup-simplify]: Simplify (* -1 -1) into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.373 * [backup-simplify]: Simplify (log 1) into 0 5.374 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.375 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.376 * [backup-simplify]: Simplify (- 0) into 0 5.376 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.376 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 5.377 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 5.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 5.378 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 5.378 * [backup-simplify]: Simplify (exp 0) into 1 5.378 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 5.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 5.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 5.378 * [taylor]: Taking taylor expansion of 1/3 in f 5.378 * [backup-simplify]: Simplify 1/3 into 1/3 5.378 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 5.378 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 5.378 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 5.378 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.378 * [taylor]: Taking taylor expansion of f in f 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.379 * [taylor]: Taking taylor expansion of n in f 5.379 * [backup-simplify]: Simplify n into n 5.379 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.379 * [backup-simplify]: Simplify (+ 1 0) into 1 5.380 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 5.380 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.380 * [taylor]: Taking taylor expansion of n in f 5.380 * [backup-simplify]: Simplify n into n 5.380 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.380 * [taylor]: Taking taylor expansion of f in f 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [backup-simplify]: Simplify (/ 1 1) into 1 5.381 * [backup-simplify]: Simplify (- 1) into -1 5.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.381 * [backup-simplify]: Simplify (* 1 1) into 1 5.382 * [backup-simplify]: Simplify (* -1 -1) into 1 5.382 * [backup-simplify]: Simplify (/ 1 1) into 1 5.383 * [backup-simplify]: Simplify (log 1) into 0 5.383 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.384 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 5.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.386 * [backup-simplify]: Simplify (- 0) into 0 5.386 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.386 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 5.386 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 5.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 5.387 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 5.387 * [backup-simplify]: Simplify (exp 0) into 1 5.387 * [taylor]: Taking taylor expansion of 1 in n 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 5.387 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 5.387 * [taylor]: Taking taylor expansion of 4/3 in n 5.387 * [backup-simplify]: Simplify 4/3 into 4/3 5.387 * [taylor]: Taking taylor expansion of n in n 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.388 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 5.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.389 * [backup-simplify]: Simplify (+ 0 0) into 0 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 5.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (- 0) into 0 5.391 * [backup-simplify]: Simplify (+ 0 0) into 0 5.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 5.392 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 5.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 5.393 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 5.394 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 5.394 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 5.394 * [taylor]: Taking taylor expansion of 8/9 in n 5.394 * [backup-simplify]: Simplify 8/9 into 8/9 5.394 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.394 * [taylor]: Taking taylor expansion of n in n 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [backup-simplify]: Simplify (* 1 1) into 1 5.395 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 5.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 5.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.398 * [backup-simplify]: Simplify (+ 0 0) into 0 5.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 5.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.400 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 5.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 5.403 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 5.403 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 5.404 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 5.404 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 5.404 * [taylor]: Taking taylor expansion of 68/81 in n 5.404 * [backup-simplify]: Simplify 68/81 into 68/81 5.404 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.404 * [taylor]: Taking taylor expansion of n in n 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify (* 1 1) into 1 5.405 * [backup-simplify]: Simplify (* 1 1) into 1 5.405 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 5.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.410 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 5.410 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.410 * [taylor]: Taking taylor expansion of -1 in n 5.410 * [backup-simplify]: Simplify -1 into -1 5.410 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.410 * [taylor]: Taking taylor expansion of (+ n f) in n 5.410 * [taylor]: Taking taylor expansion of n in n 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [taylor]: Taking taylor expansion of f in n 5.410 * [backup-simplify]: Simplify f into f 5.410 * [taylor]: Taking taylor expansion of (- f n) in n 5.410 * [taylor]: Taking taylor expansion of f in n 5.410 * [backup-simplify]: Simplify f into f 5.410 * [taylor]: Taking taylor expansion of n in n 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify (+ 0 f) into f 5.410 * [backup-simplify]: Simplify (- 0) into 0 5.410 * [backup-simplify]: Simplify (+ f 0) into f 5.410 * [backup-simplify]: Simplify (/ f f) into 1 5.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.410 * [taylor]: Taking taylor expansion of -1 in f 5.410 * [backup-simplify]: Simplify -1 into -1 5.410 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.410 * [taylor]: Taking taylor expansion of (+ n f) in f 5.410 * [taylor]: Taking taylor expansion of n in f 5.410 * [backup-simplify]: Simplify n into n 5.410 * [taylor]: Taking taylor expansion of f in f 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [taylor]: Taking taylor expansion of (- f n) in f 5.410 * [taylor]: Taking taylor expansion of f in f 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [taylor]: Taking taylor expansion of n in f 5.411 * [backup-simplify]: Simplify n into n 5.411 * [backup-simplify]: Simplify (+ n 0) into n 5.411 * [backup-simplify]: Simplify (- n) into (- n) 5.411 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.411 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.411 * [taylor]: Taking taylor expansion of -1 in f 5.411 * [backup-simplify]: Simplify -1 into -1 5.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.411 * [taylor]: Taking taylor expansion of (+ n f) in f 5.411 * [taylor]: Taking taylor expansion of n in f 5.411 * [backup-simplify]: Simplify n into n 5.411 * [taylor]: Taking taylor expansion of f in f 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [taylor]: Taking taylor expansion of (- f n) in f 5.411 * [taylor]: Taking taylor expansion of f in f 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [taylor]: Taking taylor expansion of n in f 5.411 * [backup-simplify]: Simplify n into n 5.411 * [backup-simplify]: Simplify (+ n 0) into n 5.411 * [backup-simplify]: Simplify (- n) into (- n) 5.411 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.411 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.411 * [backup-simplify]: Simplify (* -1 -1) into 1 5.411 * [taylor]: Taking taylor expansion of 1 in n 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (+ 0 1) into 1 5.412 * [backup-simplify]: Simplify (- 0) into 0 5.412 * [backup-simplify]: Simplify (+ 1 0) into 1 5.412 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.413 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.413 * [taylor]: Taking taylor expansion of 2 in n 5.413 * [backup-simplify]: Simplify 2 into 2 5.413 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.413 * [taylor]: Taking taylor expansion of n in n 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 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (- 0) into 0 5.415 * [backup-simplify]: Simplify (+ 0 0) into 0 5.415 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.415 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.415 * [taylor]: Taking taylor expansion of 2 in n 5.415 * [backup-simplify]: Simplify 2 into 2 5.415 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.415 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.415 * [taylor]: Taking taylor expansion of n in n 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (* 1 1) into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.419 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify (+ 0 0) into 0 5.421 * [backup-simplify]: Simplify (- 0) into 0 5.422 * [backup-simplify]: Simplify (+ 0 0) into 0 5.422 * [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)))) 5.423 * [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))) 5.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.423 * [taylor]: Taking taylor expansion of 2 in n 5.423 * [backup-simplify]: Simplify 2 into 2 5.424 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.424 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.424 * [taylor]: Taking taylor expansion of n in n 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (* 1 1) into 1 5.425 * [backup-simplify]: Simplify (* 1 1) into 1 5.425 * [backup-simplify]: Simplify (/ 1 1) into 1 5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.434 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.434 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.434 * [taylor]: Taking taylor expansion of -1 in n 5.434 * [backup-simplify]: Simplify -1 into -1 5.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.435 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.435 * [taylor]: Taking taylor expansion of f in n 5.435 * [backup-simplify]: Simplify f into f 5.435 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.435 * [taylor]: Taking taylor expansion of n in n 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.435 * [backup-simplify]: Simplify (/ 1 1) into 1 5.435 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.435 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.435 * [taylor]: Taking taylor expansion of f in n 5.435 * [backup-simplify]: Simplify f into f 5.435 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.435 * [taylor]: Taking taylor expansion of n in n 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (/ 1 1) into 1 5.436 * [backup-simplify]: Simplify (+ 0 1) into 1 5.437 * [backup-simplify]: Simplify (- 1) into -1 5.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.438 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.438 * [taylor]: Taking taylor expansion of -1 in f 5.438 * [backup-simplify]: Simplify -1 into -1 5.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.438 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.438 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.438 * [taylor]: Taking taylor expansion of f in f 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 5.438 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.438 * [taylor]: Taking taylor expansion of n in f 5.438 * [backup-simplify]: Simplify n into n 5.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.438 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.438 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.438 * [taylor]: Taking taylor expansion of f in f 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (/ 1 1) into 1 5.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.439 * [taylor]: Taking taylor expansion of n in f 5.439 * [backup-simplify]: Simplify n into n 5.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.439 * [backup-simplify]: Simplify (+ 1 0) into 1 5.440 * [backup-simplify]: Simplify (+ 1 0) into 1 5.440 * [backup-simplify]: Simplify (/ 1 1) into 1 5.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.440 * [taylor]: Taking taylor expansion of -1 in f 5.440 * [backup-simplify]: Simplify -1 into -1 5.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.441 * [taylor]: Taking taylor expansion of f in f 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (/ 1 1) into 1 5.441 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.441 * [taylor]: Taking taylor expansion of n in f 5.441 * [backup-simplify]: Simplify n into n 5.441 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.441 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.441 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.441 * [taylor]: Taking taylor expansion of f in f 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.442 * [taylor]: Taking taylor expansion of n in f 5.442 * [backup-simplify]: Simplify n into n 5.442 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.442 * [backup-simplify]: Simplify (+ 1 0) into 1 5.443 * [backup-simplify]: Simplify (+ 1 0) into 1 5.443 * [backup-simplify]: Simplify (/ 1 1) into 1 5.444 * [backup-simplify]: Simplify (* -1 1) into -1 5.444 * [taylor]: Taking taylor expansion of -1 in n 5.444 * [backup-simplify]: Simplify -1 into -1 5.444 * [backup-simplify]: Simplify -1 into -1 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.445 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.445 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.446 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.446 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.446 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.446 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.447 * [taylor]: Taking taylor expansion of 2 in n 5.447 * [backup-simplify]: Simplify 2 into 2 5.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.447 * [taylor]: Taking taylor expansion of n in n 5.447 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify 1 into 1 5.447 * [backup-simplify]: Simplify (/ 1 1) into 1 5.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.449 * [backup-simplify]: Simplify (- 0) into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.452 * [backup-simplify]: Simplify (- 0) into 0 5.452 * [backup-simplify]: Simplify (+ 0 0) into 0 5.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.454 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.454 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.454 * [taylor]: Taking taylor expansion of 2 in n 5.455 * [backup-simplify]: Simplify 2 into 2 5.455 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.455 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.455 * [taylor]: Taking taylor expansion of n in n 5.455 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify 1 into 1 5.455 * [backup-simplify]: Simplify (* 1 1) into 1 5.455 * [backup-simplify]: Simplify (/ 1 1) into 1 5.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.460 * [backup-simplify]: Simplify (- 0) into 0 5.460 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.462 * [backup-simplify]: Simplify (- 0) into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.464 * [backup-simplify]: Simplify (+ 0 0) into 0 5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.466 * [backup-simplify]: Simplify (- 0) into 0 5.466 * [backup-simplify]: Simplify (+ 0 0) into 0 5.474 * [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))) 5.475 * [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)))) 5.475 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.475 * [taylor]: Taking taylor expansion of 2 in n 5.475 * [backup-simplify]: Simplify 2 into 2 5.475 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.475 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.475 * [taylor]: Taking taylor expansion of n in n 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.476 * [backup-simplify]: Simplify (* 1 1) into 1 5.476 * [backup-simplify]: Simplify (* 1 1) into 1 5.476 * [backup-simplify]: Simplify (/ 1 1) into 1 5.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (- 0) into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify -1 into -1 5.487 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.487 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.487 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.487 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.487 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.487 * [taylor]: Taking taylor expansion of f in n 5.487 * [backup-simplify]: Simplify f into f 5.487 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.488 * [taylor]: Taking taylor expansion of n in n 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 1 into 1 5.488 * [backup-simplify]: Simplify (/ 1 1) into 1 5.488 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.488 * [taylor]: Taking taylor expansion of n in n 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.489 * [taylor]: Taking taylor expansion of f in n 5.489 * [backup-simplify]: Simplify f into f 5.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.489 * [backup-simplify]: Simplify (+ 0 1) into 1 5.490 * [backup-simplify]: Simplify (+ 1 0) into 1 5.490 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.490 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.490 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.491 * [taylor]: Taking taylor expansion of n in f 5.491 * [backup-simplify]: Simplify n into n 5.491 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.491 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.491 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.491 * [taylor]: Taking taylor expansion of n in f 5.491 * [backup-simplify]: Simplify n into n 5.491 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.491 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.491 * [taylor]: Taking taylor expansion of f in f 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify 1 into 1 5.492 * [backup-simplify]: Simplify (/ 1 1) into 1 5.492 * [backup-simplify]: Simplify (+ 1 0) into 1 5.493 * [backup-simplify]: Simplify (- 1) into -1 5.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.493 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.493 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.494 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.494 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.494 * [taylor]: Taking taylor expansion of f in f 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 1 into 1 5.494 * [backup-simplify]: Simplify (/ 1 1) into 1 5.494 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.494 * [taylor]: Taking taylor expansion of n in f 5.494 * [backup-simplify]: Simplify n into n 5.494 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.494 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.494 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.494 * [taylor]: Taking taylor expansion of n in f 5.494 * [backup-simplify]: Simplify n into n 5.494 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.494 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.494 * [taylor]: Taking taylor expansion of f in f 5.494 * [backup-simplify]: Simplify 0 into 0 5.495 * [backup-simplify]: Simplify 1 into 1 5.495 * [backup-simplify]: Simplify (/ 1 1) into 1 5.495 * [backup-simplify]: Simplify (+ 1 0) into 1 5.496 * [backup-simplify]: Simplify (- 1) into -1 5.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.497 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.497 * [taylor]: Taking taylor expansion of -1 in n 5.497 * [backup-simplify]: Simplify -1 into -1 5.497 * [backup-simplify]: Simplify -1 into -1 5.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.498 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.498 * [backup-simplify]: Simplify (- 0) into 0 5.498 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.499 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.499 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.499 * [taylor]: Taking taylor expansion of 2 in n 5.499 * [backup-simplify]: Simplify 2 into 2 5.499 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.499 * [taylor]: Taking taylor expansion of n in n 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify 1 into 1 5.499 * [backup-simplify]: Simplify (/ 1 1) into 1 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.500 * [backup-simplify]: Simplify (- 0) into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.501 * [backup-simplify]: Simplify (+ 0 0) into 0 5.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify (- 0) into 0 5.502 * [backup-simplify]: Simplify (+ 0 0) into 0 5.503 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.503 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.503 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.503 * [taylor]: Taking taylor expansion of 2 in n 5.503 * [backup-simplify]: Simplify 2 into 2 5.503 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.503 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.503 * [taylor]: Taking taylor expansion of n in n 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 1 into 1 5.503 * [backup-simplify]: Simplify (* 1 1) into 1 5.503 * [backup-simplify]: Simplify (/ 1 1) into 1 5.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.506 * [backup-simplify]: Simplify (- 0) into 0 5.506 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.507 * [backup-simplify]: Simplify (- 0) into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.508 * [backup-simplify]: Simplify (+ 0 0) into 0 5.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.509 * [backup-simplify]: Simplify (- 0) into 0 5.509 * [backup-simplify]: Simplify (+ 0 0) into 0 5.511 * [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)))) 5.511 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.511 * [taylor]: Taking taylor expansion of 2 in n 5.511 * [backup-simplify]: Simplify 2 into 2 5.511 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.511 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.511 * [taylor]: Taking taylor expansion of n in n 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [backup-simplify]: Simplify (* 1 1) into 1 5.511 * [backup-simplify]: Simplify (* 1 1) into 1 5.511 * [backup-simplify]: Simplify (/ 1 1) into 1 5.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.517 * [backup-simplify]: Simplify (- 0) into 0 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify -1 into -1 5.517 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 5.517 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 5.517 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.517 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.517 * [taylor]: Taking taylor expansion of -1 in n 5.517 * [backup-simplify]: Simplify -1 into -1 5.517 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.517 * [taylor]: Taking taylor expansion of (+ n f) in n 5.517 * [taylor]: Taking taylor expansion of n in n 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [taylor]: Taking taylor expansion of f in n 5.517 * [backup-simplify]: Simplify f into f 5.517 * [taylor]: Taking taylor expansion of (- f n) in n 5.517 * [taylor]: Taking taylor expansion of f in n 5.517 * [backup-simplify]: Simplify f into f 5.517 * [taylor]: Taking taylor expansion of n in n 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [backup-simplify]: Simplify (+ 0 f) into f 5.518 * [backup-simplify]: Simplify (- 0) into 0 5.518 * [backup-simplify]: Simplify (+ f 0) into f 5.518 * [backup-simplify]: Simplify (/ f f) into 1 5.518 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.518 * [taylor]: Taking taylor expansion of -1 in f 5.518 * [backup-simplify]: Simplify -1 into -1 5.518 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.518 * [taylor]: Taking taylor expansion of (+ n f) in f 5.518 * [taylor]: Taking taylor expansion of n in f 5.518 * [backup-simplify]: Simplify n into n 5.518 * [taylor]: Taking taylor expansion of f in f 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 1 into 1 5.518 * [taylor]: Taking taylor expansion of (- f n) in f 5.518 * [taylor]: Taking taylor expansion of f in f 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 1 into 1 5.518 * [taylor]: Taking taylor expansion of n in f 5.518 * [backup-simplify]: Simplify n into n 5.518 * [backup-simplify]: Simplify (+ n 0) into n 5.518 * [backup-simplify]: Simplify (- n) into (- n) 5.518 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.518 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.518 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.518 * [taylor]: Taking taylor expansion of -1 in f 5.518 * [backup-simplify]: Simplify -1 into -1 5.518 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.518 * [taylor]: Taking taylor expansion of (+ n f) in f 5.518 * [taylor]: Taking taylor expansion of n in f 5.518 * [backup-simplify]: Simplify n into n 5.518 * [taylor]: Taking taylor expansion of f in f 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 1 into 1 5.518 * [taylor]: Taking taylor expansion of (- f n) in f 5.518 * [taylor]: Taking taylor expansion of f in f 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 1 into 1 5.518 * [taylor]: Taking taylor expansion of n in f 5.518 * [backup-simplify]: Simplify n into n 5.518 * [backup-simplify]: Simplify (+ n 0) into n 5.518 * [backup-simplify]: Simplify (- n) into (- n) 5.518 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.519 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.519 * [backup-simplify]: Simplify (* -1 -1) into 1 5.519 * [taylor]: Taking taylor expansion of 1 in n 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (+ 0 1) into 1 5.519 * [backup-simplify]: Simplify (- 0) into 0 5.520 * [backup-simplify]: Simplify (+ 1 0) into 1 5.520 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.520 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.520 * [taylor]: Taking taylor expansion of 2 in n 5.520 * [backup-simplify]: Simplify 2 into 2 5.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.520 * [taylor]: Taking taylor expansion of n in n 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.521 * [backup-simplify]: Simplify (/ 1 1) into 1 5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.521 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify (+ 0 0) into 0 5.522 * [backup-simplify]: Simplify (- 0) into 0 5.522 * [backup-simplify]: Simplify (+ 0 0) into 0 5.523 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.523 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.523 * [taylor]: Taking taylor expansion of 2 in n 5.523 * [backup-simplify]: Simplify 2 into 2 5.523 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.523 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.523 * [taylor]: Taking taylor expansion of n in n 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [backup-simplify]: Simplify (* 1 1) into 1 5.524 * [backup-simplify]: Simplify (/ 1 1) into 1 5.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.528 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (- 0) into 0 5.530 * [backup-simplify]: Simplify (+ 0 0) into 0 5.530 * [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)))) 5.532 * [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))) 5.532 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.532 * [taylor]: Taking taylor expansion of 2 in n 5.532 * [backup-simplify]: Simplify 2 into 2 5.532 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.532 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.532 * [taylor]: Taking taylor expansion of n in n 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (* 1 1) into 1 5.533 * [backup-simplify]: Simplify (* 1 1) into 1 5.533 * [backup-simplify]: Simplify (/ 1 1) into 1 5.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.542 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.542 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.542 * [taylor]: Taking taylor expansion of -1 in n 5.542 * [backup-simplify]: Simplify -1 into -1 5.542 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.542 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.542 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.542 * [taylor]: Taking taylor expansion of f in n 5.542 * [backup-simplify]: Simplify f into f 5.542 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.542 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.542 * [taylor]: Taking taylor expansion of n in n 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.543 * [backup-simplify]: Simplify (/ 1 1) into 1 5.543 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.543 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.543 * [taylor]: Taking taylor expansion of f in n 5.543 * [backup-simplify]: Simplify f into f 5.543 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.543 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.543 * [taylor]: Taking taylor expansion of n in n 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 1 into 1 5.543 * [backup-simplify]: Simplify (/ 1 1) into 1 5.544 * [backup-simplify]: Simplify (+ 0 1) into 1 5.544 * [backup-simplify]: Simplify (- 1) into -1 5.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.545 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.545 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.545 * [taylor]: Taking taylor expansion of -1 in f 5.545 * [backup-simplify]: Simplify -1 into -1 5.545 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.545 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.545 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.545 * [taylor]: Taking taylor expansion of f in f 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.546 * [backup-simplify]: Simplify (/ 1 1) into 1 5.546 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.546 * [taylor]: Taking taylor expansion of n in f 5.546 * [backup-simplify]: Simplify n into n 5.546 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.546 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.546 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.546 * [taylor]: Taking taylor expansion of f in f 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 1 into 1 5.546 * [backup-simplify]: Simplify (/ 1 1) into 1 5.546 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.546 * [taylor]: Taking taylor expansion of n in f 5.546 * [backup-simplify]: Simplify n into n 5.546 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.547 * [backup-simplify]: Simplify (+ 1 0) into 1 5.547 * [backup-simplify]: Simplify (+ 1 0) into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.548 * [taylor]: Taking taylor expansion of -1 in f 5.548 * [backup-simplify]: Simplify -1 into -1 5.548 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.548 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.548 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.548 * [taylor]: Taking taylor expansion of f in f 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.548 * [taylor]: Taking taylor expansion of n in f 5.548 * [backup-simplify]: Simplify n into n 5.548 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.548 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.548 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.548 * [taylor]: Taking taylor expansion of f in f 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.549 * [backup-simplify]: Simplify (/ 1 1) into 1 5.549 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.549 * [taylor]: Taking taylor expansion of n in f 5.549 * [backup-simplify]: Simplify n into n 5.549 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.549 * [backup-simplify]: Simplify (+ 1 0) into 1 5.550 * [backup-simplify]: Simplify (+ 1 0) into 1 5.550 * [backup-simplify]: Simplify (/ 1 1) into 1 5.551 * [backup-simplify]: Simplify (* -1 1) into -1 5.551 * [taylor]: Taking taylor expansion of -1 in n 5.551 * [backup-simplify]: Simplify -1 into -1 5.551 * [backup-simplify]: Simplify -1 into -1 5.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.551 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.552 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.552 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.553 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.553 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.553 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.553 * [taylor]: Taking taylor expansion of 2 in n 5.553 * [backup-simplify]: Simplify 2 into 2 5.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.553 * [taylor]: Taking taylor expansion of n in n 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.555 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.556 * [backup-simplify]: Simplify (- 0) into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.558 * [backup-simplify]: Simplify (+ 0 0) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.559 * [backup-simplify]: Simplify (- 0) into 0 5.560 * [backup-simplify]: Simplify (+ 0 0) into 0 5.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.562 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.562 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.562 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.562 * [taylor]: Taking taylor expansion of 2 in n 5.562 * [backup-simplify]: Simplify 2 into 2 5.562 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.562 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.562 * [taylor]: Taking taylor expansion of n in n 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (* 1 1) into 1 5.563 * [backup-simplify]: Simplify (/ 1 1) into 1 5.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.568 * [backup-simplify]: Simplify (- 0) into 0 5.568 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.570 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.572 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.574 * [backup-simplify]: Simplify (- 0) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.576 * [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))) 5.576 * [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)))) 5.576 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.576 * [taylor]: Taking taylor expansion of 2 in n 5.577 * [backup-simplify]: Simplify 2 into 2 5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.577 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.577 * [taylor]: Taking taylor expansion of n in n 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (* 1 1) into 1 5.577 * [backup-simplify]: Simplify (* 1 1) into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.583 * [backup-simplify]: Simplify (- 0) into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify -1 into -1 5.583 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.583 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.583 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.583 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.583 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.583 * [taylor]: Taking taylor expansion of f in n 5.583 * [backup-simplify]: Simplify f into f 5.583 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.583 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.583 * [taylor]: Taking taylor expansion of n in n 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.584 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.584 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.584 * [taylor]: Taking taylor expansion of n in n 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.584 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.584 * [taylor]: Taking taylor expansion of f in n 5.584 * [backup-simplify]: Simplify f into f 5.584 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.584 * [backup-simplify]: Simplify (+ 0 1) into 1 5.585 * [backup-simplify]: Simplify (+ 1 0) into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.585 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.585 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.585 * [taylor]: Taking taylor expansion of f in f 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.585 * [taylor]: Taking taylor expansion of n in f 5.585 * [backup-simplify]: Simplify n into n 5.585 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.585 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.585 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.585 * [taylor]: Taking taylor expansion of n in f 5.585 * [backup-simplify]: Simplify n into n 5.585 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.585 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.585 * [taylor]: Taking taylor expansion of f in f 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [backup-simplify]: Simplify (+ 1 0) into 1 5.586 * [backup-simplify]: Simplify (- 1) into -1 5.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.587 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.587 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.587 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.587 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.587 * [taylor]: Taking taylor expansion of f in f 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.587 * [taylor]: Taking taylor expansion of n in f 5.587 * [backup-simplify]: Simplify n into n 5.587 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.587 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.587 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.587 * [taylor]: Taking taylor expansion of n in f 5.587 * [backup-simplify]: Simplify n into n 5.587 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.587 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.587 * [taylor]: Taking taylor expansion of f in f 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [backup-simplify]: Simplify (+ 1 0) into 1 5.588 * [backup-simplify]: Simplify (- 1) into -1 5.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.589 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.589 * [taylor]: Taking taylor expansion of -1 in n 5.589 * [backup-simplify]: Simplify -1 into -1 5.589 * [backup-simplify]: Simplify -1 into -1 5.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (- 0) into 0 5.590 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.590 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.590 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.590 * [taylor]: Taking taylor expansion of 2 in n 5.590 * [backup-simplify]: Simplify 2 into 2 5.590 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.590 * [taylor]: Taking taylor expansion of n in n 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (/ 1 1) into 1 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.591 * [backup-simplify]: Simplify (- 0) into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.596 * [backup-simplify]: Simplify (+ 0 0) into 0 5.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (- 0) into 0 5.597 * [backup-simplify]: Simplify (+ 0 0) into 0 5.598 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.598 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.598 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.598 * [taylor]: Taking taylor expansion of 2 in n 5.598 * [backup-simplify]: Simplify 2 into 2 5.598 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.598 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.598 * [taylor]: Taking taylor expansion of n in n 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (* 1 1) into 1 5.599 * [backup-simplify]: Simplify (/ 1 1) into 1 5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.601 * [backup-simplify]: Simplify (- 0) into 0 5.601 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.603 * [backup-simplify]: Simplify (- 0) into 0 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.603 * [backup-simplify]: Simplify (+ 0 0) into 0 5.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (- 0) into 0 5.605 * [backup-simplify]: Simplify (+ 0 0) into 0 5.606 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.606 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.606 * [taylor]: Taking taylor expansion of 2 in n 5.606 * [backup-simplify]: Simplify 2 into 2 5.606 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.606 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.606 * [taylor]: Taking taylor expansion of n in n 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (* 1 1) into 1 5.606 * [backup-simplify]: Simplify (* 1 1) into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.614 * [backup-simplify]: Simplify (- 0) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify -1 into -1 5.614 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.614 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 5.614 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.615 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.615 * [taylor]: Taking taylor expansion of -1 in n 5.615 * [backup-simplify]: Simplify -1 into -1 5.615 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.615 * [taylor]: Taking taylor expansion of (+ n f) in n 5.615 * [taylor]: Taking taylor expansion of n in n 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [taylor]: Taking taylor expansion of f in n 5.615 * [backup-simplify]: Simplify f into f 5.615 * [taylor]: Taking taylor expansion of (- f n) in n 5.615 * [taylor]: Taking taylor expansion of f in n 5.615 * [backup-simplify]: Simplify f into f 5.615 * [taylor]: Taking taylor expansion of n in n 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify (+ 0 f) into f 5.615 * [backup-simplify]: Simplify (- 0) into 0 5.616 * [backup-simplify]: Simplify (+ f 0) into f 5.616 * [backup-simplify]: Simplify (/ f f) into 1 5.616 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.616 * [taylor]: Taking taylor expansion of -1 in f 5.616 * [backup-simplify]: Simplify -1 into -1 5.616 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.616 * [taylor]: Taking taylor expansion of (+ n f) in f 5.616 * [taylor]: Taking taylor expansion of n in f 5.616 * [backup-simplify]: Simplify n into n 5.616 * [taylor]: Taking taylor expansion of f in f 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.616 * [taylor]: Taking taylor expansion of (- f n) in f 5.616 * [taylor]: Taking taylor expansion of f in f 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.616 * [taylor]: Taking taylor expansion of n in f 5.616 * [backup-simplify]: Simplify n into n 5.616 * [backup-simplify]: Simplify (+ n 0) into n 5.616 * [backup-simplify]: Simplify (- n) into (- n) 5.616 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.616 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.616 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.616 * [taylor]: Taking taylor expansion of -1 in f 5.617 * [backup-simplify]: Simplify -1 into -1 5.617 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.617 * [taylor]: Taking taylor expansion of (+ n f) in f 5.617 * [taylor]: Taking taylor expansion of n in f 5.617 * [backup-simplify]: Simplify n into n 5.617 * [taylor]: Taking taylor expansion of f in f 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [taylor]: Taking taylor expansion of (- f n) in f 5.617 * [taylor]: Taking taylor expansion of f in f 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [taylor]: Taking taylor expansion of n in f 5.617 * [backup-simplify]: Simplify n into n 5.617 * [backup-simplify]: Simplify (+ n 0) into n 5.617 * [backup-simplify]: Simplify (- n) into (- n) 5.617 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.617 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.618 * [backup-simplify]: Simplify (* -1 -1) into 1 5.618 * [taylor]: Taking taylor expansion of 1 in n 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (+ 0 1) into 1 5.619 * [backup-simplify]: Simplify (- 0) into 0 5.619 * [backup-simplify]: Simplify (+ 1 0) into 1 5.619 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.620 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.620 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.620 * [taylor]: Taking taylor expansion of 2 in n 5.620 * [backup-simplify]: Simplify 2 into 2 5.620 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.620 * [taylor]: Taking taylor expansion of n in n 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify 1 into 1 5.621 * [backup-simplify]: Simplify (/ 1 1) into 1 5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.622 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify (- 0) into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.623 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.623 * [taylor]: Taking taylor expansion of 2 in n 5.623 * [backup-simplify]: Simplify 2 into 2 5.623 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.623 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.623 * [taylor]: Taking taylor expansion of n in n 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (* 1 1) into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.626 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify (+ 0 0) into 0 5.628 * [backup-simplify]: Simplify (- 0) into 0 5.628 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [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)))) 5.629 * [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))) 5.629 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.629 * [taylor]: Taking taylor expansion of 2 in n 5.630 * [backup-simplify]: Simplify 2 into 2 5.630 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.630 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.630 * [taylor]: Taking taylor expansion of n in n 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (* 1 1) into 1 5.630 * [backup-simplify]: Simplify (* 1 1) into 1 5.630 * [backup-simplify]: Simplify (/ 1 1) into 1 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.636 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.636 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.636 * [taylor]: Taking taylor expansion of -1 in n 5.636 * [backup-simplify]: Simplify -1 into -1 5.636 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.636 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.636 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.636 * [taylor]: Taking taylor expansion of f in n 5.636 * [backup-simplify]: Simplify f into f 5.636 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.636 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.636 * [taylor]: Taking taylor expansion of n in n 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (/ 1 1) into 1 5.637 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.637 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.637 * [taylor]: Taking taylor expansion of f in n 5.637 * [backup-simplify]: Simplify f into f 5.637 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.637 * [taylor]: Taking taylor expansion of n in n 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (/ 1 1) into 1 5.637 * [backup-simplify]: Simplify (+ 0 1) into 1 5.638 * [backup-simplify]: Simplify (- 1) into -1 5.638 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.638 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.638 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.638 * [taylor]: Taking taylor expansion of -1 in f 5.638 * [backup-simplify]: Simplify -1 into -1 5.638 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.638 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.638 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.638 * [taylor]: Taking taylor expansion of f in f 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (/ 1 1) into 1 5.639 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.639 * [taylor]: Taking taylor expansion of n in f 5.639 * [backup-simplify]: Simplify n into n 5.639 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.639 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.639 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.639 * [taylor]: Taking taylor expansion of f in f 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (/ 1 1) into 1 5.639 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.639 * [taylor]: Taking taylor expansion of n in f 5.639 * [backup-simplify]: Simplify n into n 5.639 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.639 * [backup-simplify]: Simplify (+ 1 0) into 1 5.640 * [backup-simplify]: Simplify (+ 1 0) into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.640 * [taylor]: Taking taylor expansion of -1 in f 5.640 * [backup-simplify]: Simplify -1 into -1 5.640 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.640 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.640 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.640 * [taylor]: Taking taylor expansion of f in f 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.640 * [taylor]: Taking taylor expansion of n in f 5.640 * [backup-simplify]: Simplify n into n 5.641 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.641 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.641 * [taylor]: Taking taylor expansion of f in f 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.641 * [taylor]: Taking taylor expansion of n in f 5.641 * [backup-simplify]: Simplify n into n 5.641 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.641 * [backup-simplify]: Simplify (+ 1 0) into 1 5.642 * [backup-simplify]: Simplify (+ 1 0) into 1 5.642 * [backup-simplify]: Simplify (/ 1 1) into 1 5.642 * [backup-simplify]: Simplify (* -1 1) into -1 5.642 * [taylor]: Taking taylor expansion of -1 in n 5.642 * [backup-simplify]: Simplify -1 into -1 5.642 * [backup-simplify]: Simplify -1 into -1 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.643 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.643 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.644 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.644 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.644 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.644 * [taylor]: Taking taylor expansion of 2 in n 5.644 * [backup-simplify]: Simplify 2 into 2 5.644 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.644 * [taylor]: Taking taylor expansion of n in n 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 1 into 1 5.644 * [backup-simplify]: Simplify (/ 1 1) into 1 5.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.645 * [backup-simplify]: Simplify (- 0) into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.646 * [backup-simplify]: Simplify (+ 0 0) into 0 5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.647 * [backup-simplify]: Simplify (- 0) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.649 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.649 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.649 * [taylor]: Taking taylor expansion of 2 in n 5.649 * [backup-simplify]: Simplify 2 into 2 5.649 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.649 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.649 * [taylor]: Taking taylor expansion of n in n 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [backup-simplify]: Simplify (* 1 1) into 1 5.650 * [backup-simplify]: Simplify (/ 1 1) into 1 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.652 * [backup-simplify]: Simplify (- 0) into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.654 * [backup-simplify]: Simplify (- 0) into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.657 * [backup-simplify]: Simplify (- 0) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.660 * [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))) 5.660 * [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)))) 5.661 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.661 * [taylor]: Taking taylor expansion of 2 in n 5.661 * [backup-simplify]: Simplify 2 into 2 5.661 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.661 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.661 * [taylor]: Taking taylor expansion of n in n 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (* 1 1) into 1 5.662 * [backup-simplify]: Simplify (* 1 1) into 1 5.662 * [backup-simplify]: Simplify (/ 1 1) into 1 5.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (- 0) into 0 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify -1 into -1 5.672 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.672 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.672 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.672 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.672 * [taylor]: Taking taylor expansion of f in n 5.672 * [backup-simplify]: Simplify f into f 5.672 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.672 * [taylor]: Taking taylor expansion of n in n 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (/ 1 1) into 1 5.673 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.673 * [taylor]: Taking taylor expansion of n in n 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (/ 1 1) into 1 5.673 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.673 * [taylor]: Taking taylor expansion of f in n 5.673 * [backup-simplify]: Simplify f into f 5.673 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.674 * [backup-simplify]: Simplify (+ 0 1) into 1 5.674 * [backup-simplify]: Simplify (+ 1 0) into 1 5.674 * [backup-simplify]: Simplify (/ 1 1) into 1 5.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.675 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.675 * [taylor]: Taking taylor expansion of f in f 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify (/ 1 1) into 1 5.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.675 * [taylor]: Taking taylor expansion of n in f 5.675 * [backup-simplify]: Simplify n into n 5.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.675 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.675 * [taylor]: Taking taylor expansion of n in f 5.675 * [backup-simplify]: Simplify n into n 5.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.675 * [taylor]: Taking taylor expansion of f in f 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (/ 1 1) into 1 5.676 * [backup-simplify]: Simplify (+ 1 0) into 1 5.677 * [backup-simplify]: Simplify (- 1) into -1 5.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.678 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.678 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.678 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.678 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.678 * [taylor]: Taking taylor expansion of f in f 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 1 into 1 5.678 * [backup-simplify]: Simplify (/ 1 1) into 1 5.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.678 * [taylor]: Taking taylor expansion of n in f 5.678 * [backup-simplify]: Simplify n into n 5.679 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.679 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.679 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.679 * [taylor]: Taking taylor expansion of n in f 5.679 * [backup-simplify]: Simplify n into n 5.679 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.679 * [taylor]: Taking taylor expansion of f in f 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify 1 into 1 5.679 * [backup-simplify]: Simplify (/ 1 1) into 1 5.680 * [backup-simplify]: Simplify (+ 1 0) into 1 5.680 * [backup-simplify]: Simplify (- 1) into -1 5.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.681 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.681 * [taylor]: Taking taylor expansion of -1 in n 5.681 * [backup-simplify]: Simplify -1 into -1 5.681 * [backup-simplify]: Simplify -1 into -1 5.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.682 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.683 * [backup-simplify]: Simplify (- 0) into 0 5.683 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.684 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.684 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.684 * [taylor]: Taking taylor expansion of 2 in n 5.684 * [backup-simplify]: Simplify 2 into 2 5.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.684 * [taylor]: Taking taylor expansion of n in n 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify (/ 1 1) into 1 5.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.686 * [backup-simplify]: Simplify (- 0) into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.688 * [backup-simplify]: Simplify (+ 0 0) into 0 5.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.689 * [backup-simplify]: Simplify (- 0) into 0 5.689 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.691 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.691 * [taylor]: Taking taylor expansion of 2 in n 5.691 * [backup-simplify]: Simplify 2 into 2 5.691 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.691 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.691 * [taylor]: Taking taylor expansion of n in n 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [backup-simplify]: Simplify (* 1 1) into 1 5.692 * [backup-simplify]: Simplify (/ 1 1) into 1 5.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.697 * [backup-simplify]: Simplify (- 0) into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.699 * [backup-simplify]: Simplify (- 0) into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.701 * [backup-simplify]: Simplify (+ 0 0) into 0 5.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.702 * [backup-simplify]: Simplify (- 0) into 0 5.702 * [backup-simplify]: Simplify (+ 0 0) into 0 5.704 * [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)))) 5.704 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.704 * [taylor]: Taking taylor expansion of 2 in n 5.704 * [backup-simplify]: Simplify 2 into 2 5.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.705 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.705 * [taylor]: Taking taylor expansion of n in n 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 1 into 1 5.705 * [backup-simplify]: Simplify (* 1 1) into 1 5.705 * [backup-simplify]: Simplify (* 1 1) into 1 5.706 * [backup-simplify]: Simplify (/ 1 1) into 1 5.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.721 * [backup-simplify]: Simplify (- 0) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify -1 into -1 5.721 * * * [progress]: simplifying candidates 5.742 * [simplify]: Simplifying: (+ 1/3 1/3) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (+ 1 1) (+ (log (cbrt (/ (- 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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)) (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 1 -1 -1 1 -1 -1 1 -1 -1 5.765 * * [simplify]: iteration 0: 387 enodes 5.913 * * [simplify]: iteration 1: 688 enodes 6.106 * * [simplify]: iteration 2: 2730 enodes 7.692 * * [simplify]: iteration complete: 5000 enodes 7.692 * * [simplify]: Extracting #0: cost 233 inf + 0 7.695 * * [simplify]: Extracting #1: cost 957 inf + 5 7.699 * * [simplify]: Extracting #2: cost 1445 inf + 920 7.708 * * [simplify]: Extracting #3: cost 1313 inf + 47688 7.782 * * [simplify]: Extracting #4: cost 512 inf + 280557 7.910 * * [simplify]: Extracting #5: cost 84 inf + 452088 8.029 * * [simplify]: Extracting #6: cost 27 inf + 479984 8.144 * * [simplify]: Extracting #7: cost 6 inf + 482120 8.286 * * [simplify]: Extracting #8: cost 0 inf + 483635 8.376 * [simplify]: Simplified to: 2/3 2 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n)))) 2 (log (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n))))) (log (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n))))) (exp (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n))))) (* (/ (+ n f) (- 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n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (- (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n)))) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (- 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))) (- (/ (+ n f) (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)) (/ (+ n f) (- f n)) (/ (- (/ (+ n f) (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) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (/ (- (- f) n) (- (* (* f f) f) (* (* n n) n))) (- (/ 1 (- f n))) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1)) 1 1 -1 -1 1 -1 -1 1 -1 -1 8.459 * * * [progress]: adding candidates to table 11.482 * * [progress]: iteration 4 / 4 11.482 * * * [progress]: picking best candidate 11.491 * * * * [pick]: Picked # 11.491 * * * [progress]: localizing error 11.544 * * * [progress]: generating rewritten candidates 11.544 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 11.759 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 11.789 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 11.833 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 11.918 * * * [progress]: generating series expansions 11.918 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 11.918 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 11.918 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 11.918 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 11.918 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 11.918 * [taylor]: Taking taylor expansion of (+ n f) in n 11.918 * [taylor]: Taking taylor expansion of n in n 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify 1 into 1 11.918 * [taylor]: Taking taylor expansion of f in n 11.918 * [backup-simplify]: Simplify f into f 11.918 * [backup-simplify]: Simplify (+ 0 f) into f 11.918 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 11.918 * [taylor]: Taking taylor expansion of (- f n) in n 11.918 * [taylor]: Taking taylor expansion of f in n 11.918 * [backup-simplify]: Simplify f into f 11.918 * [taylor]: Taking taylor expansion of n in n 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify 1 into 1 11.919 * [backup-simplify]: Simplify (- 0) into 0 11.919 * [backup-simplify]: Simplify (+ f 0) into f 11.919 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.919 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.919 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 11.919 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 11.919 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 11.919 * [taylor]: Taking taylor expansion of (+ n f) in f 11.919 * [taylor]: Taking taylor expansion of n in f 11.919 * [backup-simplify]: Simplify n into n 11.919 * [taylor]: Taking taylor expansion of f in f 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 1 into 1 11.919 * [backup-simplify]: Simplify (+ n 0) into n 11.919 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 11.919 * [taylor]: Taking taylor expansion of (- f n) in f 11.919 * [taylor]: Taking taylor expansion of f in f 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 1 into 1 11.919 * [taylor]: Taking taylor expansion of n in f 11.919 * [backup-simplify]: Simplify n into n 11.919 * [backup-simplify]: Simplify (- n) into (- n) 11.919 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.920 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.920 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 11.920 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 11.920 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 11.920 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 11.920 * [taylor]: Taking taylor expansion of (+ n f) in f 11.920 * [taylor]: Taking taylor expansion of n in f 11.920 * [backup-simplify]: Simplify n into n 11.920 * [taylor]: Taking taylor expansion of f in f 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 1 into 1 11.920 * [backup-simplify]: Simplify (+ n 0) into n 11.920 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 11.920 * [taylor]: Taking taylor expansion of (- f n) in f 11.920 * [taylor]: Taking taylor expansion of f in f 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 1 into 1 11.920 * [taylor]: Taking taylor expansion of n in f 11.920 * [backup-simplify]: Simplify n into n 11.920 * [backup-simplify]: Simplify (- n) into (- n) 11.920 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.920 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.920 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 11.920 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 11.920 * [taylor]: Taking taylor expansion of 1 in n 11.920 * [backup-simplify]: Simplify 1 into 1 11.920 * [backup-simplify]: Simplify 1 into 1 11.921 * [backup-simplify]: Simplify (+ 0 1) into 1 11.921 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 11.921 * [backup-simplify]: Simplify (- 0) into 0 11.921 * [backup-simplify]: Simplify (+ 1 0) into 1 11.921 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 11.922 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 11.922 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 11.922 * [taylor]: Taking taylor expansion of 4 in n 11.922 * [backup-simplify]: Simplify 4 into 4 11.922 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.922 * [taylor]: Taking taylor expansion of n in n 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [backup-simplify]: Simplify (/ 1 1) into 1 11.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.923 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify (+ 0 0) into 0 11.924 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 11.924 * [backup-simplify]: Simplify (- 0) into 0 11.924 * [backup-simplify]: Simplify (+ 0 0) into 0 11.925 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 11.925 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 11.925 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 11.925 * [taylor]: Taking taylor expansion of 8 in n 11.925 * [backup-simplify]: Simplify 8 into 8 11.925 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.925 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.925 * [taylor]: Taking taylor expansion of n in n 11.925 * [backup-simplify]: Simplify 0 into 0 11.925 * [backup-simplify]: Simplify 1 into 1 11.925 * [backup-simplify]: Simplify (* 1 1) into 1 11.926 * [backup-simplify]: Simplify (/ 1 1) into 1 11.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.928 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 11.928 * [backup-simplify]: Simplify 0 into 0 11.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.929 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 11.929 * [backup-simplify]: Simplify 0 into 0 11.929 * [backup-simplify]: Simplify 0 into 0 11.929 * [backup-simplify]: Simplify (+ 0 0) into 0 11.930 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 11.931 * [backup-simplify]: Simplify (- 0) into 0 11.931 * [backup-simplify]: Simplify (+ 0 0) into 0 11.932 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 11.933 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 11.933 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 11.933 * [taylor]: Taking taylor expansion of 12 in n 11.933 * [backup-simplify]: Simplify 12 into 12 11.933 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.933 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.933 * [taylor]: Taking taylor expansion of n in n 11.933 * [backup-simplify]: Simplify 0 into 0 11.933 * [backup-simplify]: Simplify 1 into 1 11.934 * [backup-simplify]: Simplify (* 1 1) into 1 11.934 * [backup-simplify]: Simplify (* 1 1) into 1 11.935 * [backup-simplify]: Simplify (/ 1 1) into 1 11.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.944 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [backup-simplify]: Simplify 1 into 1 11.944 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 11.944 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 11.944 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 11.944 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 11.944 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.945 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.945 * [taylor]: Taking taylor expansion of f in n 11.945 * [backup-simplify]: Simplify f into f 11.945 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.945 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.945 * [taylor]: Taking taylor expansion of n in n 11.945 * [backup-simplify]: Simplify 0 into 0 11.945 * [backup-simplify]: Simplify 1 into 1 11.945 * [backup-simplify]: Simplify (/ 1 1) into 1 11.946 * [backup-simplify]: Simplify (+ 0 1) into 1 11.946 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 11.946 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.946 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.946 * [taylor]: Taking taylor expansion of f in n 11.946 * [backup-simplify]: Simplify f into f 11.946 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.946 * [taylor]: Taking taylor expansion of n in n 11.946 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (/ 1 1) into 1 11.947 * [backup-simplify]: Simplify (- 1) into -1 11.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.947 * [backup-simplify]: Simplify (* 1 1) into 1 11.948 * [backup-simplify]: Simplify (* -1 -1) into 1 11.948 * [backup-simplify]: Simplify (/ 1 1) into 1 11.948 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 11.948 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 11.948 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.948 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.948 * [taylor]: Taking taylor expansion of f in f 11.948 * [backup-simplify]: Simplify 0 into 0 11.948 * [backup-simplify]: Simplify 1 into 1 11.949 * [backup-simplify]: Simplify (/ 1 1) into 1 11.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.949 * [taylor]: Taking taylor expansion of n in f 11.949 * [backup-simplify]: Simplify n into n 11.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.949 * [backup-simplify]: Simplify (+ 1 0) into 1 11.950 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 11.950 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.950 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.950 * [taylor]: Taking taylor expansion of f in f 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [backup-simplify]: Simplify 1 into 1 11.950 * [backup-simplify]: Simplify (/ 1 1) into 1 11.950 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.950 * [taylor]: Taking taylor expansion of n in f 11.950 * [backup-simplify]: Simplify n into n 11.950 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.951 * [backup-simplify]: Simplify (+ 1 0) into 1 11.951 * [backup-simplify]: Simplify (* 1 1) into 1 11.951 * [backup-simplify]: Simplify (* 1 1) into 1 11.952 * [backup-simplify]: Simplify (/ 1 1) into 1 11.952 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 11.952 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 11.952 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.952 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.952 * [taylor]: Taking taylor expansion of f in f 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [backup-simplify]: Simplify 1 into 1 11.952 * [backup-simplify]: Simplify (/ 1 1) into 1 11.952 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.952 * [taylor]: Taking taylor expansion of n in f 11.952 * [backup-simplify]: Simplify n into n 11.953 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.953 * [backup-simplify]: Simplify (+ 1 0) into 1 11.953 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 11.953 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.953 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.953 * [taylor]: Taking taylor expansion of f in f 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify 1 into 1 11.954 * [backup-simplify]: Simplify (/ 1 1) into 1 11.954 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.954 * [taylor]: Taking taylor expansion of n in f 11.954 * [backup-simplify]: Simplify n into n 11.954 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.954 * [backup-simplify]: Simplify (+ 1 0) into 1 11.955 * [backup-simplify]: Simplify (* 1 1) into 1 11.955 * [backup-simplify]: Simplify (* 1 1) into 1 11.955 * [backup-simplify]: Simplify (/ 1 1) into 1 11.955 * [taylor]: Taking taylor expansion of 1 in n 11.955 * [backup-simplify]: Simplify 1 into 1 11.955 * [backup-simplify]: Simplify 1 into 1 11.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.966 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.966 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 11.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.967 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.967 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.967 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 11.968 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 11.968 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 11.968 * [taylor]: Taking taylor expansion of 4 in n 11.968 * [backup-simplify]: Simplify 4 into 4 11.968 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.968 * [taylor]: Taking taylor expansion of n in n 11.968 * [backup-simplify]: Simplify 0 into 0 11.968 * [backup-simplify]: Simplify 1 into 1 11.968 * [backup-simplify]: Simplify (/ 1 1) into 1 11.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.970 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify 0 into 0 11.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.971 * [backup-simplify]: Simplify (+ 0 0) into 0 11.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 11.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.975 * [backup-simplify]: Simplify (- 0) into 0 11.975 * [backup-simplify]: Simplify (+ 0 0) into 0 11.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 11.977 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 11.977 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 11.977 * [taylor]: Taking taylor expansion of 8 in n 11.977 * [backup-simplify]: Simplify 8 into 8 11.977 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.977 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.977 * [taylor]: Taking taylor expansion of n in n 11.977 * [backup-simplify]: Simplify 0 into 0 11.977 * [backup-simplify]: Simplify 1 into 1 11.977 * [backup-simplify]: Simplify (* 1 1) into 1 11.978 * [backup-simplify]: Simplify (/ 1 1) into 1 11.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.982 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 11.982 * [backup-simplify]: Simplify 0 into 0 11.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.984 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 11.984 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.986 * [backup-simplify]: Simplify (+ 0 0) into 0 11.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 11.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.988 * [backup-simplify]: Simplify (- 0) into 0 11.989 * [backup-simplify]: Simplify (+ 0 0) into 0 11.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 11.991 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 11.991 * [taylor]: Taking taylor expansion of 12 in n 11.991 * [backup-simplify]: Simplify 12 into 12 11.991 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.991 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.992 * [taylor]: Taking taylor expansion of n in n 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify 1 into 1 11.992 * [backup-simplify]: Simplify (* 1 1) into 1 11.992 * [backup-simplify]: Simplify (* 1 1) into 1 11.993 * [backup-simplify]: Simplify (/ 1 1) into 1 11.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.002 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 1 into 1 12.003 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 12.003 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 12.003 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 12.003 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 12.003 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.003 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.003 * [taylor]: Taking taylor expansion of f in n 12.003 * [backup-simplify]: Simplify f into f 12.003 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.003 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.003 * [taylor]: Taking taylor expansion of n in n 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify 1 into 1 12.004 * [backup-simplify]: Simplify (/ 1 1) into 1 12.004 * [backup-simplify]: Simplify (+ 0 1) into 1 12.004 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 12.004 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.004 * [taylor]: Taking taylor expansion of n in n 12.004 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify 1 into 1 12.005 * [backup-simplify]: Simplify (/ 1 1) into 1 12.005 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.005 * [taylor]: Taking taylor expansion of f in n 12.005 * [backup-simplify]: Simplify f into f 12.005 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.005 * [backup-simplify]: Simplify (+ 1 0) into 1 12.006 * [backup-simplify]: Simplify (* 1 1) into 1 12.006 * [backup-simplify]: Simplify (* 1 1) into 1 12.007 * [backup-simplify]: Simplify (/ 1 1) into 1 12.007 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 12.007 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.007 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.007 * [taylor]: Taking taylor expansion of f in f 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 1 into 1 12.007 * [backup-simplify]: Simplify (/ 1 1) into 1 12.007 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.007 * [taylor]: Taking taylor expansion of n in f 12.007 * [backup-simplify]: Simplify n into n 12.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.008 * [backup-simplify]: Simplify (+ 1 0) into 1 12.008 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.008 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.008 * [taylor]: Taking taylor expansion of n in f 12.008 * [backup-simplify]: Simplify n into n 12.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.008 * [taylor]: Taking taylor expansion of f in f 12.008 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 1 into 1 12.009 * [backup-simplify]: Simplify (/ 1 1) into 1 12.009 * [backup-simplify]: Simplify (- 1) into -1 12.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.010 * [backup-simplify]: Simplify (* 1 1) into 1 12.010 * [backup-simplify]: Simplify (* -1 -1) into 1 12.010 * [backup-simplify]: Simplify (/ 1 1) into 1 12.011 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 12.011 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.011 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.011 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.011 * [taylor]: Taking taylor expansion of f in f 12.011 * [backup-simplify]: Simplify 0 into 0 12.011 * [backup-simplify]: Simplify 1 into 1 12.011 * [backup-simplify]: Simplify (/ 1 1) into 1 12.011 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.011 * [taylor]: Taking taylor expansion of n in f 12.011 * [backup-simplify]: Simplify n into n 12.011 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.012 * [backup-simplify]: Simplify (+ 1 0) into 1 12.012 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.012 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.012 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.012 * [taylor]: Taking taylor expansion of n in f 12.012 * [backup-simplify]: Simplify n into n 12.012 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.012 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.012 * [taylor]: Taking taylor expansion of f in f 12.012 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (/ 1 1) into 1 12.013 * [backup-simplify]: Simplify (- 1) into -1 12.014 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.014 * [backup-simplify]: Simplify (* 1 1) into 1 12.014 * [backup-simplify]: Simplify (* -1 -1) into 1 12.015 * [backup-simplify]: Simplify (/ 1 1) into 1 12.015 * [taylor]: Taking taylor expansion of 1 in n 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.016 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.016 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.017 * [backup-simplify]: Simplify (- 0) into 0 12.017 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.018 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.018 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 12.018 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.018 * [taylor]: Taking taylor expansion of 4 in n 12.018 * [backup-simplify]: Simplify 4 into 4 12.018 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.018 * [taylor]: Taking taylor expansion of n in n 12.018 * [backup-simplify]: Simplify 0 into 0 12.018 * [backup-simplify]: Simplify 1 into 1 12.018 * [backup-simplify]: Simplify (/ 1 1) into 1 12.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.020 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.020 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.022 * [backup-simplify]: Simplify (+ 0 0) into 0 12.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.024 * [backup-simplify]: Simplify (- 0) into 0 12.024 * [backup-simplify]: Simplify (+ 0 0) into 0 12.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.026 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 12.026 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 12.026 * [taylor]: Taking taylor expansion of 8 in n 12.026 * [backup-simplify]: Simplify 8 into 8 12.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.026 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.026 * [taylor]: Taking taylor expansion of n in n 12.026 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify 1 into 1 12.027 * [backup-simplify]: Simplify (* 1 1) into 1 12.027 * [backup-simplify]: Simplify (/ 1 1) into 1 12.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.032 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.034 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.034 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify 0 into 0 12.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.035 * [backup-simplify]: Simplify (+ 0 0) into 0 12.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.038 * [backup-simplify]: Simplify (- 0) into 0 12.039 * [backup-simplify]: Simplify (+ 0 0) into 0 12.040 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 12.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 12.041 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 12.041 * [taylor]: Taking taylor expansion of 12 in n 12.041 * [backup-simplify]: Simplify 12 into 12 12.041 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.041 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.041 * [taylor]: Taking taylor expansion of n in n 12.041 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify 1 into 1 12.042 * [backup-simplify]: Simplify (* 1 1) into 1 12.042 * [backup-simplify]: Simplify (* 1 1) into 1 12.043 * [backup-simplify]: Simplify (/ 1 1) into 1 12.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 1 into 1 12.049 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 12.049 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 12.049 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 12.049 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 12.049 * [taylor]: Taking taylor expansion of -1 in n 12.049 * [backup-simplify]: Simplify -1 into -1 12.049 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 12.049 * [taylor]: Taking taylor expansion of (+ n f) in n 12.049 * [taylor]: Taking taylor expansion of n in n 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 1 into 1 12.049 * [taylor]: Taking taylor expansion of f in n 12.050 * [backup-simplify]: Simplify f into f 12.050 * [taylor]: Taking taylor expansion of (- f n) in n 12.050 * [taylor]: Taking taylor expansion of f in n 12.050 * [backup-simplify]: Simplify f into f 12.050 * [taylor]: Taking taylor expansion of n in n 12.050 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify 1 into 1 12.050 * [backup-simplify]: Simplify (+ 0 f) into f 12.050 * [backup-simplify]: Simplify (- 0) into 0 12.050 * [backup-simplify]: Simplify (+ f 0) into f 12.050 * [backup-simplify]: Simplify (/ f f) into 1 12.050 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.050 * [taylor]: Taking taylor expansion of -1 in f 12.050 * [backup-simplify]: Simplify -1 into -1 12.050 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.050 * [taylor]: Taking taylor expansion of (+ n f) in f 12.050 * [taylor]: Taking taylor expansion of n in f 12.050 * [backup-simplify]: Simplify n into n 12.050 * [taylor]: Taking taylor expansion of f in f 12.050 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify 1 into 1 12.050 * [taylor]: Taking taylor expansion of (- f n) in f 12.050 * [taylor]: Taking taylor expansion of f in f 12.050 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify 1 into 1 12.050 * [taylor]: Taking taylor expansion of n in f 12.050 * [backup-simplify]: Simplify n into n 12.050 * [backup-simplify]: Simplify (+ n 0) into n 12.050 * [backup-simplify]: Simplify (- n) into (- n) 12.050 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.050 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.050 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.050 * [taylor]: Taking taylor expansion of -1 in f 12.050 * [backup-simplify]: Simplify -1 into -1 12.050 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.050 * [taylor]: Taking taylor expansion of (+ n f) in f 12.050 * [taylor]: Taking taylor expansion of n in f 12.050 * [backup-simplify]: Simplify n into n 12.050 * [taylor]: Taking taylor expansion of f in f 12.051 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify 1 into 1 12.051 * [taylor]: Taking taylor expansion of (- f n) in f 12.051 * [taylor]: Taking taylor expansion of f in f 12.051 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify 1 into 1 12.051 * [taylor]: Taking taylor expansion of n in f 12.051 * [backup-simplify]: Simplify n into n 12.051 * [backup-simplify]: Simplify (+ n 0) into n 12.051 * [backup-simplify]: Simplify (- n) into (- n) 12.051 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.051 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.051 * [backup-simplify]: Simplify (* -1 -1) into 1 12.051 * [taylor]: Taking taylor expansion of 1 in n 12.051 * [backup-simplify]: Simplify 1 into 1 12.051 * [backup-simplify]: Simplify 1 into 1 12.051 * [backup-simplify]: Simplify (+ 0 1) into 1 12.052 * [backup-simplify]: Simplify (- 0) into 0 12.052 * [backup-simplify]: Simplify (+ 1 0) into 1 12.052 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 12.052 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 12.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.052 * [taylor]: Taking taylor expansion of 2 in n 12.052 * [backup-simplify]: Simplify 2 into 2 12.052 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.052 * [taylor]: Taking taylor expansion of n in n 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.053 * [backup-simplify]: Simplify (/ 1 1) into 1 12.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.054 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.054 * [backup-simplify]: Simplify 0 into 0 12.054 * [backup-simplify]: Simplify 0 into 0 12.054 * [backup-simplify]: Simplify (+ 0 0) into 0 12.054 * [backup-simplify]: Simplify (- 0) into 0 12.054 * [backup-simplify]: Simplify (+ 0 0) into 0 12.055 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 12.055 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.055 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.055 * [taylor]: Taking taylor expansion of 2 in n 12.055 * [backup-simplify]: Simplify 2 into 2 12.055 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.055 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.055 * [taylor]: Taking taylor expansion of n in n 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.055 * [backup-simplify]: Simplify (* 1 1) into 1 12.056 * [backup-simplify]: Simplify (/ 1 1) into 1 12.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.058 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.059 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify 0 into 0 12.060 * [backup-simplify]: Simplify (+ 0 0) into 0 12.060 * [backup-simplify]: Simplify (- 0) into 0 12.060 * [backup-simplify]: Simplify (+ 0 0) into 0 12.060 * [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)))) 12.061 * [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))) 12.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.061 * [taylor]: Taking taylor expansion of 2 in n 12.061 * [backup-simplify]: Simplify 2 into 2 12.061 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.061 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.061 * [taylor]: Taking taylor expansion of n in n 12.061 * [backup-simplify]: Simplify 0 into 0 12.061 * [backup-simplify]: Simplify 1 into 1 12.061 * [backup-simplify]: Simplify (* 1 1) into 1 12.062 * [backup-simplify]: Simplify (* 1 1) into 1 12.062 * [backup-simplify]: Simplify (/ 1 1) into 1 12.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 12.067 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 12.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 12.067 * [taylor]: Taking taylor expansion of -1 in n 12.067 * [backup-simplify]: Simplify -1 into -1 12.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 12.067 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.067 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.067 * [taylor]: Taking taylor expansion of f in n 12.067 * [backup-simplify]: Simplify f into f 12.067 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.067 * [taylor]: Taking taylor expansion of n in n 12.068 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify 1 into 1 12.068 * [backup-simplify]: Simplify (/ 1 1) into 1 12.068 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.068 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.068 * [taylor]: Taking taylor expansion of f in n 12.068 * [backup-simplify]: Simplify f into f 12.068 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.068 * [taylor]: Taking taylor expansion of n in n 12.068 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify 1 into 1 12.068 * [backup-simplify]: Simplify (/ 1 1) into 1 12.068 * [backup-simplify]: Simplify (+ 0 1) into 1 12.069 * [backup-simplify]: Simplify (- 1) into -1 12.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.069 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.069 * [taylor]: Taking taylor expansion of -1 in f 12.069 * [backup-simplify]: Simplify -1 into -1 12.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.069 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.069 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.069 * [taylor]: Taking taylor expansion of f in f 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 1 into 1 12.070 * [backup-simplify]: Simplify (/ 1 1) into 1 12.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.070 * [taylor]: Taking taylor expansion of n in f 12.070 * [backup-simplify]: Simplify n into n 12.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.070 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.070 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.070 * [taylor]: Taking taylor expansion of f in f 12.070 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify 1 into 1 12.070 * [backup-simplify]: Simplify (/ 1 1) into 1 12.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.070 * [taylor]: Taking taylor expansion of n in f 12.070 * [backup-simplify]: Simplify n into n 12.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.070 * [backup-simplify]: Simplify (+ 1 0) into 1 12.071 * [backup-simplify]: Simplify (+ 1 0) into 1 12.071 * [backup-simplify]: Simplify (/ 1 1) into 1 12.071 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.071 * [taylor]: Taking taylor expansion of -1 in f 12.071 * [backup-simplify]: Simplify -1 into -1 12.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.071 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.071 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.071 * [taylor]: Taking taylor expansion of f in f 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 1 into 1 12.071 * [backup-simplify]: Simplify (/ 1 1) into 1 12.071 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.071 * [taylor]: Taking taylor expansion of n in f 12.071 * [backup-simplify]: Simplify n into n 12.071 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.071 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.071 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.072 * [taylor]: Taking taylor expansion of f in f 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify 1 into 1 12.072 * [backup-simplify]: Simplify (/ 1 1) into 1 12.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.072 * [taylor]: Taking taylor expansion of n in f 12.072 * [backup-simplify]: Simplify n into n 12.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.072 * [backup-simplify]: Simplify (+ 1 0) into 1 12.072 * [backup-simplify]: Simplify (+ 1 0) into 1 12.073 * [backup-simplify]: Simplify (/ 1 1) into 1 12.073 * [backup-simplify]: Simplify (* -1 1) into -1 12.073 * [taylor]: Taking taylor expansion of -1 in n 12.073 * [backup-simplify]: Simplify -1 into -1 12.073 * [backup-simplify]: Simplify -1 into -1 12.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.075 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.075 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.075 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 12.075 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.076 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.076 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.076 * [taylor]: Taking taylor expansion of 2 in n 12.076 * [backup-simplify]: Simplify 2 into 2 12.076 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.076 * [taylor]: Taking taylor expansion of n in n 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 1 into 1 12.076 * [backup-simplify]: Simplify (/ 1 1) into 1 12.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.078 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.078 * [backup-simplify]: Simplify (- 0) into 0 12.078 * [backup-simplify]: Simplify 0 into 0 12.078 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.080 * [backup-simplify]: Simplify (+ 0 0) into 0 12.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.081 * [backup-simplify]: Simplify (- 0) into 0 12.081 * [backup-simplify]: Simplify (+ 0 0) into 0 12.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 12.083 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.083 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.083 * [taylor]: Taking taylor expansion of 2 in n 12.083 * [backup-simplify]: Simplify 2 into 2 12.083 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.084 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.084 * [taylor]: Taking taylor expansion of n in n 12.084 * [backup-simplify]: Simplify 0 into 0 12.084 * [backup-simplify]: Simplify 1 into 1 12.084 * [backup-simplify]: Simplify (* 1 1) into 1 12.085 * [backup-simplify]: Simplify (/ 1 1) into 1 12.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.089 * [backup-simplify]: Simplify (- 0) into 0 12.089 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.092 * [backup-simplify]: Simplify (- 0) into 0 12.092 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.097 * [backup-simplify]: Simplify (- 0) into 0 12.098 * [backup-simplify]: Simplify (+ 0 0) into 0 12.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 12.101 * [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)))) 12.101 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.101 * [taylor]: Taking taylor expansion of 2 in n 12.101 * [backup-simplify]: Simplify 2 into 2 12.101 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.101 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.101 * [taylor]: Taking taylor expansion of n in n 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 1 into 1 12.101 * [backup-simplify]: Simplify (* 1 1) into 1 12.102 * [backup-simplify]: Simplify (* 1 1) into 1 12.102 * [backup-simplify]: Simplify (/ 1 1) into 1 12.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.111 * [backup-simplify]: Simplify (- 0) into 0 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify -1 into -1 12.111 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.111 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.111 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.111 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.111 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.111 * [taylor]: Taking taylor expansion of f in n 12.111 * [backup-simplify]: Simplify f into f 12.111 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.111 * [taylor]: Taking taylor expansion of n in n 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.111 * [backup-simplify]: Simplify (/ 1 1) into 1 12.111 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.112 * [taylor]: Taking taylor expansion of n in n 12.112 * [backup-simplify]: Simplify 0 into 0 12.112 * [backup-simplify]: Simplify 1 into 1 12.112 * [backup-simplify]: Simplify (/ 1 1) into 1 12.112 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.112 * [taylor]: Taking taylor expansion of f in n 12.112 * [backup-simplify]: Simplify f into f 12.112 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.112 * [backup-simplify]: Simplify (+ 0 1) into 1 12.112 * [backup-simplify]: Simplify (+ 1 0) into 1 12.113 * [backup-simplify]: Simplify (/ 1 1) into 1 12.113 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.113 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.113 * [taylor]: Taking taylor expansion of f in f 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify 1 into 1 12.113 * [backup-simplify]: Simplify (/ 1 1) into 1 12.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.113 * [taylor]: Taking taylor expansion of n in f 12.113 * [backup-simplify]: Simplify n into n 12.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.113 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.113 * [taylor]: Taking taylor expansion of n in f 12.113 * [backup-simplify]: Simplify n into n 12.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.113 * [taylor]: Taking taylor expansion of f in f 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify 1 into 1 12.114 * [backup-simplify]: Simplify (/ 1 1) into 1 12.114 * [backup-simplify]: Simplify (+ 1 0) into 1 12.114 * [backup-simplify]: Simplify (- 1) into -1 12.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.115 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.115 * [taylor]: Taking taylor expansion of f in f 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify 1 into 1 12.115 * [backup-simplify]: Simplify (/ 1 1) into 1 12.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.115 * [taylor]: Taking taylor expansion of n in f 12.115 * [backup-simplify]: Simplify n into n 12.115 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.115 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.115 * [taylor]: Taking taylor expansion of n in f 12.115 * [backup-simplify]: Simplify n into n 12.115 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.115 * [taylor]: Taking taylor expansion of f in f 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify 1 into 1 12.115 * [backup-simplify]: Simplify (/ 1 1) into 1 12.116 * [backup-simplify]: Simplify (+ 1 0) into 1 12.116 * [backup-simplify]: Simplify (- 1) into -1 12.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.116 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.116 * [taylor]: Taking taylor expansion of -1 in n 12.116 * [backup-simplify]: Simplify -1 into -1 12.117 * [backup-simplify]: Simplify -1 into -1 12.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.117 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.118 * [backup-simplify]: Simplify (- 0) into 0 12.118 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.118 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.118 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.118 * [taylor]: Taking taylor expansion of 2 in n 12.118 * [backup-simplify]: Simplify 2 into 2 12.118 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.118 * [taylor]: Taking taylor expansion of n in n 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify 1 into 1 12.118 * [backup-simplify]: Simplify (/ 1 1) into 1 12.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.119 * [backup-simplify]: Simplify (- 0) into 0 12.119 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.120 * [backup-simplify]: Simplify (+ 0 0) into 0 12.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.121 * [backup-simplify]: Simplify (- 0) into 0 12.121 * [backup-simplify]: Simplify (+ 0 0) into 0 12.122 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.122 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.122 * [taylor]: Taking taylor expansion of 2 in n 12.122 * [backup-simplify]: Simplify 2 into 2 12.122 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.122 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.122 * [taylor]: Taking taylor expansion of n in n 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.123 * [backup-simplify]: Simplify (* 1 1) into 1 12.123 * [backup-simplify]: Simplify (/ 1 1) into 1 12.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.125 * [backup-simplify]: Simplify (- 0) into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.127 * [backup-simplify]: Simplify (- 0) into 0 12.127 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.128 * [backup-simplify]: Simplify (+ 0 0) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (- 0) into 0 12.129 * [backup-simplify]: Simplify (+ 0 0) into 0 12.130 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.130 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.130 * [taylor]: Taking taylor expansion of 2 in n 12.130 * [backup-simplify]: Simplify 2 into 2 12.130 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.130 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.130 * [taylor]: Taking taylor expansion of n in n 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify 1 into 1 12.130 * [backup-simplify]: Simplify (* 1 1) into 1 12.131 * [backup-simplify]: Simplify (* 1 1) into 1 12.131 * [backup-simplify]: Simplify (/ 1 1) into 1 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.137 * [backup-simplify]: Simplify (- 0) into 0 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify -1 into -1 12.137 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 12.137 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 12.137 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 12.137 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 12.137 * [taylor]: Taking taylor expansion of -1 in n 12.137 * [backup-simplify]: Simplify -1 into -1 12.137 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 12.137 * [taylor]: Taking taylor expansion of (+ n f) in n 12.137 * [taylor]: Taking taylor expansion of n in n 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 1 into 1 12.137 * [taylor]: Taking taylor expansion of f in n 12.137 * [backup-simplify]: Simplify f into f 12.137 * [taylor]: Taking taylor expansion of (- f n) in n 12.137 * [taylor]: Taking taylor expansion of f in n 12.137 * [backup-simplify]: Simplify f into f 12.137 * [taylor]: Taking taylor expansion of n in n 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 1 into 1 12.137 * [backup-simplify]: Simplify (+ 0 f) into f 12.137 * [backup-simplify]: Simplify (- 0) into 0 12.137 * [backup-simplify]: Simplify (+ f 0) into f 12.137 * [backup-simplify]: Simplify (/ f f) into 1 12.138 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.138 * [taylor]: Taking taylor expansion of -1 in f 12.138 * [backup-simplify]: Simplify -1 into -1 12.138 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.138 * [taylor]: Taking taylor expansion of (+ n f) in f 12.138 * [taylor]: Taking taylor expansion of n in f 12.138 * [backup-simplify]: Simplify n into n 12.138 * [taylor]: Taking taylor expansion of f in f 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of (- f n) in f 12.138 * [taylor]: Taking taylor expansion of f in f 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of n in f 12.138 * [backup-simplify]: Simplify n into n 12.138 * [backup-simplify]: Simplify (+ n 0) into n 12.138 * [backup-simplify]: Simplify (- n) into (- n) 12.138 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.138 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.138 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.138 * [taylor]: Taking taylor expansion of -1 in f 12.138 * [backup-simplify]: Simplify -1 into -1 12.138 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.138 * [taylor]: Taking taylor expansion of (+ n f) in f 12.138 * [taylor]: Taking taylor expansion of n in f 12.138 * [backup-simplify]: Simplify n into n 12.138 * [taylor]: Taking taylor expansion of f in f 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of (- f n) in f 12.138 * [taylor]: Taking taylor expansion of f in f 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of n in f 12.138 * [backup-simplify]: Simplify n into n 12.138 * [backup-simplify]: Simplify (+ n 0) into n 12.138 * [backup-simplify]: Simplify (- n) into (- n) 12.138 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.138 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.139 * [backup-simplify]: Simplify (* -1 -1) into 1 12.139 * [taylor]: Taking taylor expansion of 1 in n 12.139 * [backup-simplify]: Simplify 1 into 1 12.139 * [backup-simplify]: Simplify 1 into 1 12.139 * [backup-simplify]: Simplify (+ 0 1) into 1 12.139 * [backup-simplify]: Simplify (- 0) into 0 12.139 * [backup-simplify]: Simplify (+ 1 0) into 1 12.140 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 12.140 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 12.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.140 * [taylor]: Taking taylor expansion of 2 in n 12.140 * [backup-simplify]: Simplify 2 into 2 12.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.140 * [taylor]: Taking taylor expansion of n in n 12.140 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (/ 1 1) into 1 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.141 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify (+ 0 0) into 0 12.142 * [backup-simplify]: Simplify (- 0) into 0 12.142 * [backup-simplify]: Simplify (+ 0 0) into 0 12.143 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 12.143 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.143 * [taylor]: Taking taylor expansion of 2 in n 12.143 * [backup-simplify]: Simplify 2 into 2 12.144 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.144 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.144 * [taylor]: Taking taylor expansion of n in n 12.144 * [backup-simplify]: Simplify 0 into 0 12.144 * [backup-simplify]: Simplify 1 into 1 12.144 * [backup-simplify]: Simplify (* 1 1) into 1 12.144 * [backup-simplify]: Simplify (/ 1 1) into 1 12.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.149 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify (+ 0 0) into 0 12.152 * [backup-simplify]: Simplify (- 0) into 0 12.152 * [backup-simplify]: Simplify (+ 0 0) into 0 12.153 * [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)))) 12.154 * [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))) 12.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.154 * [taylor]: Taking taylor expansion of 2 in n 12.154 * [backup-simplify]: Simplify 2 into 2 12.154 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.154 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.154 * [taylor]: Taking taylor expansion of n in n 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify 1 into 1 12.154 * [backup-simplify]: Simplify (* 1 1) into 1 12.155 * [backup-simplify]: Simplify (* 1 1) into 1 12.155 * [backup-simplify]: Simplify (/ 1 1) into 1 12.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.165 * [backup-simplify]: Simplify 0 into 0 12.165 * [backup-simplify]: Simplify 1 into 1 12.165 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 12.165 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 12.165 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 12.165 * [taylor]: Taking taylor expansion of -1 in n 12.165 * [backup-simplify]: Simplify -1 into -1 12.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 12.165 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.165 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.165 * [taylor]: Taking taylor expansion of f in n 12.165 * [backup-simplify]: Simplify f into f 12.165 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.165 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.165 * [taylor]: Taking taylor expansion of n in n 12.165 * [backup-simplify]: Simplify 0 into 0 12.165 * [backup-simplify]: Simplify 1 into 1 12.166 * [backup-simplify]: Simplify (/ 1 1) into 1 12.166 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.166 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.166 * [taylor]: Taking taylor expansion of f in n 12.166 * [backup-simplify]: Simplify f into f 12.166 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.166 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.166 * [taylor]: Taking taylor expansion of n in n 12.166 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify 1 into 1 12.167 * [backup-simplify]: Simplify (/ 1 1) into 1 12.167 * [backup-simplify]: Simplify (+ 0 1) into 1 12.167 * [backup-simplify]: Simplify (- 1) into -1 12.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.168 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.168 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.168 * [taylor]: Taking taylor expansion of -1 in f 12.168 * [backup-simplify]: Simplify -1 into -1 12.169 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.169 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.169 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.169 * [taylor]: Taking taylor expansion of f in f 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 1 into 1 12.169 * [backup-simplify]: Simplify (/ 1 1) into 1 12.169 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.169 * [taylor]: Taking taylor expansion of n in f 12.169 * [backup-simplify]: Simplify n into n 12.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.169 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.169 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.169 * [taylor]: Taking taylor expansion of f in f 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 1 into 1 12.170 * [backup-simplify]: Simplify (/ 1 1) into 1 12.170 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.170 * [taylor]: Taking taylor expansion of n in f 12.170 * [backup-simplify]: Simplify n into n 12.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.171 * [backup-simplify]: Simplify (+ 1 0) into 1 12.171 * [backup-simplify]: Simplify (+ 1 0) into 1 12.171 * [backup-simplify]: Simplify (/ 1 1) into 1 12.171 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.171 * [taylor]: Taking taylor expansion of -1 in f 12.171 * [backup-simplify]: Simplify -1 into -1 12.172 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.172 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.172 * [taylor]: Taking taylor expansion of f in f 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [backup-simplify]: Simplify (/ 1 1) into 1 12.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.172 * [taylor]: Taking taylor expansion of n in f 12.172 * [backup-simplify]: Simplify n into n 12.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.172 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.172 * [taylor]: Taking taylor expansion of f in f 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.173 * [backup-simplify]: Simplify (/ 1 1) into 1 12.173 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.173 * [taylor]: Taking taylor expansion of n in f 12.173 * [backup-simplify]: Simplify n into n 12.173 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.173 * [backup-simplify]: Simplify (+ 1 0) into 1 12.174 * [backup-simplify]: Simplify (+ 1 0) into 1 12.174 * [backup-simplify]: Simplify (/ 1 1) into 1 12.175 * [backup-simplify]: Simplify (* -1 1) into -1 12.175 * [taylor]: Taking taylor expansion of -1 in n 12.175 * [backup-simplify]: Simplify -1 into -1 12.175 * [backup-simplify]: Simplify -1 into -1 12.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.176 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.177 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.177 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.177 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 12.177 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.178 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.178 * [taylor]: Taking taylor expansion of 2 in n 12.178 * [backup-simplify]: Simplify 2 into 2 12.178 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.178 * [taylor]: Taking taylor expansion of n in n 12.178 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify 1 into 1 12.178 * [backup-simplify]: Simplify (/ 1 1) into 1 12.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.180 * [backup-simplify]: Simplify (- 0) into 0 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 0 into 0 12.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.182 * [backup-simplify]: Simplify (+ 0 0) into 0 12.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.183 * [backup-simplify]: Simplify (- 0) into 0 12.184 * [backup-simplify]: Simplify (+ 0 0) into 0 12.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 12.186 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.186 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.186 * [taylor]: Taking taylor expansion of 2 in n 12.186 * [backup-simplify]: Simplify 2 into 2 12.186 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.186 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.186 * [taylor]: Taking taylor expansion of n in n 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify 1 into 1 12.187 * [backup-simplify]: Simplify (* 1 1) into 1 12.187 * [backup-simplify]: Simplify (/ 1 1) into 1 12.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.192 * [backup-simplify]: Simplify (- 0) into 0 12.192 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.194 * [backup-simplify]: Simplify (- 0) into 0 12.194 * [backup-simplify]: Simplify 0 into 0 12.194 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.196 * [backup-simplify]: Simplify (+ 0 0) into 0 12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.198 * [backup-simplify]: Simplify (- 0) into 0 12.198 * [backup-simplify]: Simplify (+ 0 0) into 0 12.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 12.201 * [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)))) 12.201 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.201 * [taylor]: Taking taylor expansion of 2 in n 12.201 * [backup-simplify]: Simplify 2 into 2 12.201 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.201 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.201 * [taylor]: Taking taylor expansion of n in n 12.201 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify 1 into 1 12.202 * [backup-simplify]: Simplify (* 1 1) into 1 12.202 * [backup-simplify]: Simplify (* 1 1) into 1 12.203 * [backup-simplify]: Simplify (/ 1 1) into 1 12.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.212 * [backup-simplify]: Simplify (- 0) into 0 12.213 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify -1 into -1 12.213 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.213 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.213 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.213 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.213 * [taylor]: Taking taylor expansion of f in n 12.213 * [backup-simplify]: Simplify f into f 12.213 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.213 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.213 * [taylor]: Taking taylor expansion of n in n 12.213 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify 1 into 1 12.214 * [backup-simplify]: Simplify (/ 1 1) into 1 12.214 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.214 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.214 * [taylor]: Taking taylor expansion of n in n 12.214 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify 1 into 1 12.214 * [backup-simplify]: Simplify (/ 1 1) into 1 12.214 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.214 * [taylor]: Taking taylor expansion of f in n 12.214 * [backup-simplify]: Simplify f into f 12.215 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.215 * [backup-simplify]: Simplify (+ 0 1) into 1 12.215 * [backup-simplify]: Simplify (+ 1 0) into 1 12.216 * [backup-simplify]: Simplify (/ 1 1) into 1 12.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.216 * [taylor]: Taking taylor expansion of f in f 12.216 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify 1 into 1 12.216 * [backup-simplify]: Simplify (/ 1 1) into 1 12.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.217 * [taylor]: Taking taylor expansion of n in f 12.217 * [backup-simplify]: Simplify n into n 12.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.217 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.217 * [taylor]: Taking taylor expansion of n in f 12.217 * [backup-simplify]: Simplify n into n 12.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.217 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.217 * [taylor]: Taking taylor expansion of f in f 12.217 * [backup-simplify]: Simplify 0 into 0 12.217 * [backup-simplify]: Simplify 1 into 1 12.217 * [backup-simplify]: Simplify (/ 1 1) into 1 12.218 * [backup-simplify]: Simplify (+ 1 0) into 1 12.218 * [backup-simplify]: Simplify (- 1) into -1 12.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.218 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.219 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.219 * [taylor]: Taking taylor expansion of f in f 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 1 into 1 12.219 * [backup-simplify]: Simplify (/ 1 1) into 1 12.219 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.219 * [taylor]: Taking taylor expansion of n in f 12.219 * [backup-simplify]: Simplify n into n 12.219 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.219 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.219 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.219 * [taylor]: Taking taylor expansion of n in f 12.219 * [backup-simplify]: Simplify n into n 12.219 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.219 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.219 * [taylor]: Taking taylor expansion of f in f 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 1 into 1 12.219 * [backup-simplify]: Simplify (/ 1 1) into 1 12.220 * [backup-simplify]: Simplify (+ 1 0) into 1 12.220 * [backup-simplify]: Simplify (- 1) into -1 12.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.220 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.220 * [taylor]: Taking taylor expansion of -1 in n 12.220 * [backup-simplify]: Simplify -1 into -1 12.221 * [backup-simplify]: Simplify -1 into -1 12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.222 * [backup-simplify]: Simplify (- 0) into 0 12.222 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.222 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.222 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.222 * [taylor]: Taking taylor expansion of 2 in n 12.222 * [backup-simplify]: Simplify 2 into 2 12.222 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.222 * [taylor]: Taking taylor expansion of n in n 12.222 * [backup-simplify]: Simplify 0 into 0 12.222 * [backup-simplify]: Simplify 1 into 1 12.222 * [backup-simplify]: Simplify (/ 1 1) into 1 12.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.225 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.225 * [backup-simplify]: Simplify (- 0) into 0 12.225 * [backup-simplify]: Simplify 0 into 0 12.225 * [backup-simplify]: Simplify 0 into 0 12.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.226 * [backup-simplify]: Simplify (+ 0 0) into 0 12.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.227 * [backup-simplify]: Simplify (- 0) into 0 12.227 * [backup-simplify]: Simplify (+ 0 0) into 0 12.228 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.228 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.228 * [taylor]: Taking taylor expansion of 2 in n 12.228 * [backup-simplify]: Simplify 2 into 2 12.228 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.228 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.228 * [taylor]: Taking taylor expansion of n in n 12.228 * [backup-simplify]: Simplify 0 into 0 12.228 * [backup-simplify]: Simplify 1 into 1 12.228 * [backup-simplify]: Simplify (* 1 1) into 1 12.229 * [backup-simplify]: Simplify (/ 1 1) into 1 12.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.232 * [backup-simplify]: Simplify (- 0) into 0 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.233 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.233 * [backup-simplify]: Simplify (- 0) into 0 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.234 * [backup-simplify]: Simplify (+ 0 0) into 0 12.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.235 * [backup-simplify]: Simplify (- 0) into 0 12.235 * [backup-simplify]: Simplify (+ 0 0) into 0 12.236 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.236 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.236 * [taylor]: Taking taylor expansion of 2 in n 12.236 * [backup-simplify]: Simplify 2 into 2 12.236 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.236 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.236 * [taylor]: Taking taylor expansion of n in n 12.236 * [backup-simplify]: Simplify 0 into 0 12.236 * [backup-simplify]: Simplify 1 into 1 12.237 * [backup-simplify]: Simplify (* 1 1) into 1 12.237 * [backup-simplify]: Simplify (* 1 1) into 1 12.237 * [backup-simplify]: Simplify (/ 1 1) into 1 12.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.242 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.242 * [backup-simplify]: Simplify (- 0) into 0 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify -1 into -1 12.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 12.243 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 12.243 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 12.243 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 12.243 * [taylor]: Taking taylor expansion of -1 in n 12.243 * [backup-simplify]: Simplify -1 into -1 12.243 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 12.243 * [taylor]: Taking taylor expansion of (+ n f) in n 12.243 * [taylor]: Taking taylor expansion of n in n 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.243 * [taylor]: Taking taylor expansion of f in n 12.243 * [backup-simplify]: Simplify f into f 12.243 * [taylor]: Taking taylor expansion of (- f n) in n 12.243 * [taylor]: Taking taylor expansion of f in n 12.243 * [backup-simplify]: Simplify f into f 12.243 * [taylor]: Taking taylor expansion of n in n 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.243 * [backup-simplify]: Simplify (+ 0 f) into f 12.243 * [backup-simplify]: Simplify (- 0) into 0 12.243 * [backup-simplify]: Simplify (+ f 0) into f 12.243 * [backup-simplify]: Simplify (/ f f) into 1 12.243 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.243 * [taylor]: Taking taylor expansion of -1 in f 12.243 * [backup-simplify]: Simplify -1 into -1 12.243 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.243 * [taylor]: Taking taylor expansion of (+ n f) in f 12.243 * [taylor]: Taking taylor expansion of n in f 12.243 * [backup-simplify]: Simplify n into n 12.243 * [taylor]: Taking taylor expansion of f in f 12.243 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [taylor]: Taking taylor expansion of (- f n) in f 12.244 * [taylor]: Taking taylor expansion of f in f 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [taylor]: Taking taylor expansion of n in f 12.244 * [backup-simplify]: Simplify n into n 12.244 * [backup-simplify]: Simplify (+ n 0) into n 12.244 * [backup-simplify]: Simplify (- n) into (- n) 12.244 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.244 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.244 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.244 * [taylor]: Taking taylor expansion of -1 in f 12.244 * [backup-simplify]: Simplify -1 into -1 12.244 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.244 * [taylor]: Taking taylor expansion of (+ n f) in f 12.244 * [taylor]: Taking taylor expansion of n in f 12.244 * [backup-simplify]: Simplify n into n 12.244 * [taylor]: Taking taylor expansion of f in f 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [taylor]: Taking taylor expansion of (- f n) in f 12.244 * [taylor]: Taking taylor expansion of f in f 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [taylor]: Taking taylor expansion of n in f 12.244 * [backup-simplify]: Simplify n into n 12.244 * [backup-simplify]: Simplify (+ n 0) into n 12.244 * [backup-simplify]: Simplify (- n) into (- n) 12.244 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.244 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.244 * [backup-simplify]: Simplify (* -1 -1) into 1 12.244 * [taylor]: Taking taylor expansion of 1 in n 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [backup-simplify]: Simplify 1 into 1 12.245 * [backup-simplify]: Simplify (+ 0 1) into 1 12.245 * [backup-simplify]: Simplify (- 0) into 0 12.245 * [backup-simplify]: Simplify (+ 1 0) into 1 12.245 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 12.246 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 12.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.246 * [taylor]: Taking taylor expansion of 2 in n 12.246 * [backup-simplify]: Simplify 2 into 2 12.246 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.246 * [taylor]: Taking taylor expansion of n in n 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (/ 1 1) into 1 12.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.248 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.248 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify (+ 0 0) into 0 12.249 * [backup-simplify]: Simplify (- 0) into 0 12.249 * [backup-simplify]: Simplify (+ 0 0) into 0 12.250 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 12.250 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.250 * [taylor]: Taking taylor expansion of 2 in n 12.250 * [backup-simplify]: Simplify 2 into 2 12.251 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.251 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.251 * [taylor]: Taking taylor expansion of n in n 12.251 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify 1 into 1 12.251 * [backup-simplify]: Simplify (* 1 1) into 1 12.251 * [backup-simplify]: Simplify (/ 1 1) into 1 12.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.258 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify (+ 0 0) into 0 12.259 * [backup-simplify]: Simplify (- 0) into 0 12.259 * [backup-simplify]: Simplify (+ 0 0) into 0 12.260 * [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)))) 12.261 * [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))) 12.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.261 * [taylor]: Taking taylor expansion of 2 in n 12.261 * [backup-simplify]: Simplify 2 into 2 12.261 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.261 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.261 * [taylor]: Taking taylor expansion of n in n 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 1 into 1 12.262 * [backup-simplify]: Simplify (* 1 1) into 1 12.262 * [backup-simplify]: Simplify (* 1 1) into 1 12.263 * [backup-simplify]: Simplify (/ 1 1) into 1 12.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 1 into 1 12.272 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 12.272 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 12.272 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 12.272 * [taylor]: Taking taylor expansion of -1 in n 12.272 * [backup-simplify]: Simplify -1 into -1 12.272 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 12.272 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.272 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.272 * [taylor]: Taking taylor expansion of f in n 12.272 * [backup-simplify]: Simplify f into f 12.272 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.272 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.272 * [taylor]: Taking taylor expansion of n in n 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (/ 1 1) into 1 12.273 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.273 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.273 * [taylor]: Taking taylor expansion of f in n 12.273 * [backup-simplify]: Simplify f into f 12.273 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.273 * [taylor]: Taking taylor expansion of n in n 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.274 * [backup-simplify]: Simplify (+ 0 1) into 1 12.274 * [backup-simplify]: Simplify (- 1) into -1 12.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.275 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.275 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.275 * [taylor]: Taking taylor expansion of -1 in f 12.275 * [backup-simplify]: Simplify -1 into -1 12.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.275 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.276 * [taylor]: Taking taylor expansion of f in f 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 1 into 1 12.276 * [backup-simplify]: Simplify (/ 1 1) into 1 12.276 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.276 * [taylor]: Taking taylor expansion of n in f 12.276 * [backup-simplify]: Simplify n into n 12.276 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.276 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.276 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.276 * [taylor]: Taking taylor expansion of f in f 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 1 into 1 12.277 * [backup-simplify]: Simplify (/ 1 1) into 1 12.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.277 * [taylor]: Taking taylor expansion of n in f 12.277 * [backup-simplify]: Simplify n into n 12.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.277 * [backup-simplify]: Simplify (+ 1 0) into 1 12.278 * [backup-simplify]: Simplify (+ 1 0) into 1 12.278 * [backup-simplify]: Simplify (/ 1 1) into 1 12.278 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.278 * [taylor]: Taking taylor expansion of -1 in f 12.278 * [backup-simplify]: Simplify -1 into -1 12.278 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.278 * [taylor]: Taking taylor expansion of f in f 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (/ 1 1) into 1 12.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.279 * [taylor]: Taking taylor expansion of n in f 12.279 * [backup-simplify]: Simplify n into n 12.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.279 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.279 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.279 * [taylor]: Taking taylor expansion of f in f 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (/ 1 1) into 1 12.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.279 * [taylor]: Taking taylor expansion of n in f 12.279 * [backup-simplify]: Simplify n into n 12.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.280 * [backup-simplify]: Simplify (+ 1 0) into 1 12.280 * [backup-simplify]: Simplify (+ 1 0) into 1 12.281 * [backup-simplify]: Simplify (/ 1 1) into 1 12.281 * [backup-simplify]: Simplify (* -1 1) into -1 12.281 * [taylor]: Taking taylor expansion of -1 in n 12.281 * [backup-simplify]: Simplify -1 into -1 12.281 * [backup-simplify]: Simplify -1 into -1 12.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.282 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.283 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.283 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.284 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 12.284 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.284 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.284 * [taylor]: Taking taylor expansion of 2 in n 12.284 * [backup-simplify]: Simplify 2 into 2 12.284 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.284 * [taylor]: Taking taylor expansion of n in n 12.284 * [backup-simplify]: Simplify 0 into 0 12.284 * [backup-simplify]: Simplify 1 into 1 12.285 * [backup-simplify]: Simplify (/ 1 1) into 1 12.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.287 * [backup-simplify]: Simplify (- 0) into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.288 * [backup-simplify]: Simplify (+ 0 0) into 0 12.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.290 * [backup-simplify]: Simplify (- 0) into 0 12.290 * [backup-simplify]: Simplify (+ 0 0) into 0 12.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 12.292 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.292 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.292 * [taylor]: Taking taylor expansion of 2 in n 12.292 * [backup-simplify]: Simplify 2 into 2 12.293 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.293 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.293 * [taylor]: Taking taylor expansion of n in n 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.293 * [backup-simplify]: Simplify (* 1 1) into 1 12.293 * [backup-simplify]: Simplify (/ 1 1) into 1 12.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.298 * [backup-simplify]: Simplify (- 0) into 0 12.298 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.301 * [backup-simplify]: Simplify (- 0) into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.302 * [backup-simplify]: Simplify (+ 0 0) into 0 12.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.304 * [backup-simplify]: Simplify (- 0) into 0 12.304 * [backup-simplify]: Simplify (+ 0 0) into 0 12.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 12.307 * [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)))) 12.307 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.307 * [taylor]: Taking taylor expansion of 2 in n 12.307 * [backup-simplify]: Simplify 2 into 2 12.307 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.307 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.307 * [taylor]: Taking taylor expansion of n in n 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify 1 into 1 12.308 * [backup-simplify]: Simplify (* 1 1) into 1 12.308 * [backup-simplify]: Simplify (* 1 1) into 1 12.308 * [backup-simplify]: Simplify (/ 1 1) into 1 12.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.318 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.318 * [backup-simplify]: Simplify (- 0) into 0 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify -1 into -1 12.318 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.318 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.319 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.319 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.319 * [taylor]: Taking taylor expansion of f in n 12.319 * [backup-simplify]: Simplify f into f 12.319 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.319 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.319 * [taylor]: Taking taylor expansion of n in n 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [backup-simplify]: Simplify (/ 1 1) into 1 12.319 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.319 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.319 * [taylor]: Taking taylor expansion of n in n 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.320 * [backup-simplify]: Simplify (/ 1 1) into 1 12.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.320 * [taylor]: Taking taylor expansion of f in n 12.320 * [backup-simplify]: Simplify f into f 12.320 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.320 * [backup-simplify]: Simplify (+ 0 1) into 1 12.321 * [backup-simplify]: Simplify (+ 1 0) into 1 12.321 * [backup-simplify]: Simplify (/ 1 1) into 1 12.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.321 * [taylor]: Taking taylor expansion of f in f 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.322 * [backup-simplify]: Simplify (/ 1 1) into 1 12.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.322 * [taylor]: Taking taylor expansion of n in f 12.322 * [backup-simplify]: Simplify n into n 12.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.322 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.322 * [taylor]: Taking taylor expansion of n in f 12.322 * [backup-simplify]: Simplify n into n 12.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.322 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.322 * [taylor]: Taking taylor expansion of f in f 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.323 * [backup-simplify]: Simplify (+ 1 0) into 1 12.323 * [backup-simplify]: Simplify (- 1) into -1 12.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.324 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.324 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.324 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.324 * [taylor]: Taking taylor expansion of f in f 12.324 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify 1 into 1 12.325 * [backup-simplify]: Simplify (/ 1 1) into 1 12.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.325 * [taylor]: Taking taylor expansion of n in f 12.325 * [backup-simplify]: Simplify n into n 12.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.325 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.325 * [taylor]: Taking taylor expansion of n in f 12.325 * [backup-simplify]: Simplify n into n 12.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.325 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.325 * [taylor]: Taking taylor expansion of f in f 12.325 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify 1 into 1 12.326 * [backup-simplify]: Simplify (/ 1 1) into 1 12.326 * [backup-simplify]: Simplify (+ 1 0) into 1 12.326 * [backup-simplify]: Simplify (- 1) into -1 12.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.327 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.327 * [taylor]: Taking taylor expansion of -1 in n 12.327 * [backup-simplify]: Simplify -1 into -1 12.327 * [backup-simplify]: Simplify -1 into -1 12.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.328 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.330 * [backup-simplify]: Simplify (- 0) into 0 12.330 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.330 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.330 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.330 * [taylor]: Taking taylor expansion of 2 in n 12.330 * [backup-simplify]: Simplify 2 into 2 12.330 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.330 * [taylor]: Taking taylor expansion of n in n 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 1 into 1 12.330 * [backup-simplify]: Simplify (/ 1 1) into 1 12.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.332 * [backup-simplify]: Simplify (- 0) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.334 * [backup-simplify]: Simplify (+ 0 0) into 0 12.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.336 * [backup-simplify]: Simplify (- 0) into 0 12.336 * [backup-simplify]: Simplify (+ 0 0) into 0 12.337 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.337 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.338 * [taylor]: Taking taylor expansion of 2 in n 12.338 * [backup-simplify]: Simplify 2 into 2 12.338 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.338 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.338 * [taylor]: Taking taylor expansion of n in n 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.338 * [backup-simplify]: Simplify (* 1 1) into 1 12.339 * [backup-simplify]: Simplify (/ 1 1) into 1 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.343 * [backup-simplify]: Simplify (- 0) into 0 12.343 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.345 * [backup-simplify]: Simplify (- 0) into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.347 * [backup-simplify]: Simplify (+ 0 0) into 0 12.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (- 0) into 0 12.349 * [backup-simplify]: Simplify (+ 0 0) into 0 12.351 * [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)))) 12.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.351 * [taylor]: Taking taylor expansion of 2 in n 12.351 * [backup-simplify]: Simplify 2 into 2 12.351 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.351 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.351 * [taylor]: Taking taylor expansion of n in n 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 1 into 1 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.353 * [backup-simplify]: Simplify (/ 1 1) into 1 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.364 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.364 * [backup-simplify]: Simplify (- 0) into 0 12.364 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify -1 into -1 12.364 * * * [progress]: simplifying candidates 12.384 * [simplify]: Simplifying: (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (+ 1 1) (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n)))) (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* 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Extracting #0: cost 217 inf + 0 12.920 * * [simplify]: Extracting #1: cost 1467 inf + 4 12.927 * * [simplify]: Extracting #2: cost 2245 inf + 400 12.943 * * [simplify]: Extracting #3: cost 2094 inf + 25870 12.998 * * [simplify]: Extracting #4: cost 1026 inf + 290056 13.118 * * [simplify]: Extracting #5: cost 179 inf + 554334 13.237 * * [simplify]: Extracting #6: cost 10 inf + 615256 13.368 * * [simplify]: Extracting #7: cost 0 inf + 618661 13.529 * [simplify]: Simplified to: 2 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 2 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (exp (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ 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n f) (- (* f f) (* n n)))) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 13.611 * * * [progress]: adding candidates to table 16.599 * [progress]: [Phase 3 of 3] Extracting. 16.600 * * [regime]: Finding splitpoints for: (# # #) 16.602 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 16.603 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 16.645 * * * * [regimes]: Trying to branch on n from (# # #) 16.701 * * * * [regimes]: Trying to branch on f from (# # #) 16.751 * * * [regime]: Found split indices: #