0.670 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.125 * * * [progress]: [2/2] Setting up program. 0.133 * [progress]: [Phase 2 of 3] Improving. 0.136 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.137 * * [simplify]: iteration 0: 6 enodes 0.143 * * [simplify]: iteration 1: 13 enodes 0.146 * * [simplify]: iteration 2: 16 enodes 0.150 * * [simplify]: iteration 3: 20 enodes 0.155 * * [simplify]: iteration 4: 24 enodes 0.161 * * [simplify]: iteration 5: 29 enodes 0.167 * * [simplify]: iteration 6: 31 enodes 0.173 * * [simplify]: iteration complete: 31 enodes 0.174 * * [simplify]: Extracting #0: cost 1 inf + 0 0.174 * * [simplify]: Extracting #1: cost 9 inf + 0 0.174 * * [simplify]: Extracting #2: cost 14 inf + 0 0.175 * * [simplify]: Extracting #3: cost 11 inf + 43 0.175 * * [simplify]: Extracting #4: cost 2 inf + 860 0.175 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.176 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.178 * * [progress]: iteration 1 / 4 0.178 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.184 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.284 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.292 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.292 * [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 0.294 * [taylor]: Taking taylor expansion of -1 in n 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.294 * [taylor]: Taking taylor expansion of (+ n f) in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of f in n 0.294 * [backup-simplify]: Simplify f into f 0.294 * [taylor]: Taking taylor expansion of (- f n) in n 0.294 * [taylor]: Taking taylor expansion of f in n 0.294 * [backup-simplify]: Simplify f into f 0.294 * [taylor]: Taking taylor expansion of n in n 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ 0 f) into f 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ f 0) into f 0.296 * [backup-simplify]: Simplify (/ f f) 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 0.296 * [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 0.297 * [taylor]: Taking taylor expansion of f in f 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of (- f n) in f 0.297 * [taylor]: Taking taylor expansion of f in f 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of n in f 0.297 * [backup-simplify]: Simplify n into n 0.297 * [backup-simplify]: Simplify (+ n 0) into n 0.297 * [backup-simplify]: Simplify (- n) into (- n) 0.297 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.297 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.299 * [backup-simplify]: Simplify (* -1 -1) into 1 0.299 * [taylor]: Taking taylor expansion of 1 in n 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.302 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.302 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.302 * [taylor]: Taking taylor expansion of 2 in n 0.302 * [backup-simplify]: Simplify 2 into 2 0.302 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.302 * [taylor]: Taking taylor expansion of n in n 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.308 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.308 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.308 * [taylor]: Taking taylor expansion of 2 in n 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.308 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [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)))) 0.320 * [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))) 0.320 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.320 * [taylor]: Taking taylor expansion of 2 in n 0.320 * [backup-simplify]: Simplify 2 into 2 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.320 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.332 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.332 * [taylor]: Taking taylor expansion of -1 in n 0.332 * [backup-simplify]: Simplify -1 into -1 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.332 * [taylor]: Taking taylor expansion of f in n 0.332 * [backup-simplify]: Simplify f into f 0.332 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.333 * [taylor]: Taking taylor expansion of f in n 0.333 * [backup-simplify]: Simplify f into f 0.333 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 0 1) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.336 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.336 * [taylor]: Taking taylor expansion of -1 in f 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.336 * [taylor]: Taking taylor expansion of f in f 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.337 * [backup-simplify]: Simplify n into n 0.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.337 * [taylor]: Taking taylor expansion of f in f 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.338 * [taylor]: Taking taylor expansion of n in f 0.338 * [backup-simplify]: Simplify n into n 0.338 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.339 * [taylor]: Taking taylor expansion of -1 in f 0.339 * [backup-simplify]: Simplify -1 into -1 0.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.339 * [taylor]: Taking taylor expansion of f in f 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.340 * [taylor]: Taking taylor expansion of n in f 0.340 * [backup-simplify]: Simplify n into n 0.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.340 * [taylor]: Taking taylor expansion of f in f 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.340 * [taylor]: Taking taylor expansion of n in f 0.340 * [backup-simplify]: Simplify n into n 0.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.341 * [backup-simplify]: Simplify (+ 1 0) into 1 0.341 * [backup-simplify]: Simplify (+ 1 0) into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (* -1 1) into -1 0.342 * [taylor]: Taking taylor expansion of -1 in n 0.342 * [backup-simplify]: Simplify -1 into -1 0.342 * [backup-simplify]: Simplify -1 into -1 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.344 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.345 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.345 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.345 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.345 * [taylor]: Taking taylor expansion of 2 in n 0.345 * [backup-simplify]: Simplify 2 into 2 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.350 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.350 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.350 * [taylor]: Taking taylor expansion of 2 in n 0.351 * [backup-simplify]: Simplify 2 into 2 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.351 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [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))) 0.360 * [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)))) 0.360 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.360 * [taylor]: Taking taylor expansion of 2 in n 0.360 * [backup-simplify]: Simplify 2 into 2 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.360 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.360 * [taylor]: Taking taylor expansion of n in n 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify -1 into -1 0.367 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.367 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.367 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.367 * [taylor]: Taking taylor expansion of f in n 0.367 * [backup-simplify]: Simplify f into f 0.367 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.368 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.368 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.368 * [taylor]: Taking taylor expansion of f in n 0.368 * [backup-simplify]: Simplify f into f 0.368 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.369 * [backup-simplify]: Simplify (+ 0 1) into 1 0.369 * [backup-simplify]: Simplify (+ 1 0) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.369 * [taylor]: Taking taylor expansion of f in f 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.370 * [taylor]: Taking taylor expansion of n in f 0.370 * [backup-simplify]: Simplify n into n 0.370 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.370 * [taylor]: Taking taylor expansion of n in f 0.370 * [backup-simplify]: Simplify n into n 0.370 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.370 * [taylor]: Taking taylor expansion of f in f 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.371 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.371 * [taylor]: Taking taylor expansion of f in f 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.371 * [taylor]: Taking taylor expansion of n in f 0.371 * [backup-simplify]: Simplify n into n 0.372 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.372 * [taylor]: Taking taylor expansion of n in f 0.372 * [backup-simplify]: Simplify n into n 0.372 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.372 * [taylor]: Taking taylor expansion of f in f 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.373 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.373 * [taylor]: Taking taylor expansion of -1 in n 0.373 * [backup-simplify]: Simplify -1 into -1 0.373 * [backup-simplify]: Simplify -1 into -1 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.375 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.375 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.375 * [taylor]: Taking taylor expansion of 2 in n 0.375 * [backup-simplify]: Simplify 2 into 2 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.375 * [taylor]: Taking taylor expansion of n in n 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- 0) 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 0.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.379 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.379 * [taylor]: Taking taylor expansion of 2 in n 0.379 * [backup-simplify]: Simplify 2 into 2 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.379 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.379 * [taylor]: Taking taylor expansion of n in n 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [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)))) 0.388 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.388 * [taylor]: Taking taylor expansion of 2 in n 0.388 * [backup-simplify]: Simplify 2 into 2 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.388 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * * * [progress]: simplifying candidates 0.403 * [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 0.405 * * [simplify]: iteration 0: 133 enodes 0.453 * * [simplify]: iteration 1: 311 enodes 0.563 * * [simplify]: iteration 2: 698 enodes 0.791 * * [simplify]: iteration 3: 2226 enodes 1.785 * * [simplify]: iteration complete: 5006 enodes 1.786 * * [simplify]: Extracting #0: cost 86 inf + 0 1.787 * * [simplify]: Extracting #1: cost 514 inf + 3 1.792 * * [simplify]: Extracting #2: cost 1092 inf + 10415 1.845 * * [simplify]: Extracting #3: cost 848 inf + 144858 1.922 * * [simplify]: Extracting #4: cost 309 inf + 266790 2.004 * * [simplify]: Extracting #5: cost 96 inf + 321399 2.076 * * [simplify]: Extracting #6: cost 53 inf + 332283 2.163 * * [simplify]: Extracting #7: cost 10 inf + 340564 2.248 * * [simplify]: Extracting #8: cost 0 inf + 343091 2.338 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (+ n (- f)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f))))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (- (/ (/ (+ n f) (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (/ -1 (- f n)) (* (+ (* (- n) (- f n)) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 2.348 * * * [progress]: adding candidates to table 2.731 * * [progress]: iteration 2 / 4 2.731 * * * [progress]: picking best candidate 2.760 * * * * [pick]: Picked # 2.760 * * * [progress]: localizing error 2.780 * * * [progress]: generating rewritten candidates 2.780 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.815 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.876 * * * [progress]: generating series expansions 2.876 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.876 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 2.877 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 2.877 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 2.877 * [taylor]: Taking taylor expansion of (- f n) in n 2.877 * [taylor]: Taking taylor expansion of f in n 2.877 * [backup-simplify]: Simplify f into f 2.877 * [taylor]: Taking taylor expansion of n in n 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [taylor]: Taking taylor expansion of (+ n f) in n 2.877 * [taylor]: Taking taylor expansion of n in n 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [taylor]: Taking taylor expansion of f in n 2.877 * [backup-simplify]: Simplify f into f 2.878 * [backup-simplify]: Simplify (- 0) into 0 2.878 * [backup-simplify]: Simplify (+ f 0) into f 2.878 * [backup-simplify]: Simplify (+ 0 f) into f 2.878 * [backup-simplify]: Simplify (/ f f) into 1 2.878 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.878 * [taylor]: Taking taylor expansion of (- f n) in f 2.878 * [taylor]: Taking taylor expansion of f in f 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [taylor]: Taking taylor expansion of n in f 2.878 * [backup-simplify]: Simplify n into n 2.878 * [taylor]: Taking taylor expansion of (+ n f) in f 2.878 * [taylor]: Taking taylor expansion of n in f 2.878 * [backup-simplify]: Simplify n into n 2.878 * [taylor]: Taking taylor expansion of f in f 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (- n) into (- n) 2.878 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.878 * [backup-simplify]: Simplify (+ n 0) into n 2.878 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.878 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.878 * [taylor]: Taking taylor expansion of (- f n) in f 2.878 * [taylor]: Taking taylor expansion of f in f 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [taylor]: Taking taylor expansion of n in f 2.879 * [backup-simplify]: Simplify n into n 2.879 * [taylor]: Taking taylor expansion of (+ n f) in f 2.879 * [taylor]: Taking taylor expansion of n in f 2.879 * [backup-simplify]: Simplify n into n 2.879 * [taylor]: Taking taylor expansion of f in f 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (- n) into (- n) 2.879 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.879 * [backup-simplify]: Simplify (+ n 0) into n 2.879 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.879 * [taylor]: Taking taylor expansion of -1 in n 2.879 * [backup-simplify]: Simplify -1 into -1 2.879 * [backup-simplify]: Simplify -1 into -1 2.880 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 1 0) into 1 2.881 * [backup-simplify]: Simplify (+ 0 1) into 1 2.881 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 2.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.881 * [taylor]: Taking taylor expansion of 2 in n 2.881 * [backup-simplify]: Simplify 2 into 2 2.881 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.881 * [taylor]: Taking taylor expansion of n in n 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (- 0) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 2.885 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.885 * [taylor]: Taking taylor expansion of 2 in n 2.885 * [backup-simplify]: Simplify 2 into 2 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.885 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.885 * [taylor]: Taking taylor expansion of n in n 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.888 * [backup-simplify]: Simplify (- 0) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (- 0) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [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))) 2.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.891 * [taylor]: Taking taylor expansion of 2 in n 2.891 * [backup-simplify]: Simplify 2 into 2 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.891 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.891 * [taylor]: Taking taylor expansion of n in n 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify -1 into -1 2.897 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 2.897 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.897 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 2.897 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.897 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.897 * [taylor]: Taking taylor expansion of f in n 2.897 * [backup-simplify]: Simplify f into f 2.897 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.897 * [taylor]: Taking taylor expansion of n in n 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.898 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.898 * [taylor]: Taking taylor expansion of f in n 2.898 * [backup-simplify]: Simplify f into f 2.898 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.898 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.898 * [taylor]: Taking taylor expansion of n in n 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [backup-simplify]: Simplify (- 1) into -1 2.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.899 * [backup-simplify]: Simplify (+ 0 1) into 1 2.899 * [backup-simplify]: Simplify (/ -1 1) into -1 2.899 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.899 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.899 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.899 * [taylor]: Taking taylor expansion of f in f 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.900 * [taylor]: Taking taylor expansion of n in f 2.900 * [backup-simplify]: Simplify n into n 2.900 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.900 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.900 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.900 * [taylor]: Taking taylor expansion of f in f 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.900 * [taylor]: Taking taylor expansion of n in f 2.900 * [backup-simplify]: Simplify n into n 2.900 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.901 * [backup-simplify]: Simplify (+ 1 0) into 1 2.901 * [backup-simplify]: Simplify (+ 1 0) into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.901 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.901 * [taylor]: Taking taylor expansion of f in f 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.901 * [taylor]: Taking taylor expansion of n in f 2.902 * [backup-simplify]: Simplify n into n 2.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.902 * [taylor]: Taking taylor expansion of f in f 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.902 * [taylor]: Taking taylor expansion of n in f 2.902 * [backup-simplify]: Simplify n into n 2.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.902 * [backup-simplify]: Simplify (+ 1 0) into 1 2.903 * [backup-simplify]: Simplify (+ 1 0) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [taylor]: Taking taylor expansion of 1 in n 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.904 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.904 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 2.904 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.904 * [taylor]: Taking taylor expansion of 2 in n 2.904 * [backup-simplify]: Simplify 2 into 2 2.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.904 * [taylor]: Taking taylor expansion of n in n 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (/ 1 1) into 1 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.907 * [backup-simplify]: Simplify (- 0) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 2.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.909 * [taylor]: Taking taylor expansion of 2 in n 2.909 * [backup-simplify]: Simplify 2 into 2 2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.909 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.909 * [taylor]: Taking taylor expansion of n in n 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.914 * [backup-simplify]: Simplify (- 0) into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.915 * [backup-simplify]: Simplify (- 0) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [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)))) 2.919 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.919 * [taylor]: Taking taylor expansion of 2 in n 2.919 * [backup-simplify]: Simplify 2 into 2 2.919 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.919 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.919 * [taylor]: Taking taylor expansion of n in n 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (* 1 1) into 1 2.920 * [backup-simplify]: Simplify (* 1 1) into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (- 0) into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 2.932 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.932 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 2.932 * [taylor]: Taking taylor expansion of -1 in n 2.932 * [backup-simplify]: Simplify -1 into -1 2.932 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 2.932 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.932 * [taylor]: Taking taylor expansion of n in n 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (/ 1 1) into 1 2.932 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.932 * [taylor]: Taking taylor expansion of f in n 2.932 * [backup-simplify]: Simplify f into f 2.933 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.933 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.933 * [taylor]: Taking taylor expansion of f in n 2.933 * [backup-simplify]: Simplify f into f 2.933 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.933 * [taylor]: Taking taylor expansion of n in n 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [backup-simplify]: Simplify (+ 1 0) into 1 2.934 * [backup-simplify]: Simplify (+ 0 1) into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.935 * [taylor]: Taking taylor expansion of -1 in f 2.935 * [backup-simplify]: Simplify -1 into -1 2.935 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.935 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.935 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.935 * [taylor]: Taking taylor expansion of n in f 2.935 * [backup-simplify]: Simplify n into n 2.935 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.935 * [taylor]: Taking taylor expansion of f in f 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.935 * [taylor]: Taking taylor expansion of f in f 2.935 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.936 * [taylor]: Taking taylor expansion of n in f 2.936 * [backup-simplify]: Simplify n into n 2.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.936 * [backup-simplify]: Simplify (- 1) into -1 2.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.937 * [backup-simplify]: Simplify (+ 1 0) into 1 2.938 * [backup-simplify]: Simplify (/ -1 1) into -1 2.938 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.938 * [taylor]: Taking taylor expansion of -1 in f 2.938 * [backup-simplify]: Simplify -1 into -1 2.938 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.938 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.938 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.938 * [taylor]: Taking taylor expansion of n in f 2.938 * [backup-simplify]: Simplify n into n 2.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.938 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.938 * [taylor]: Taking taylor expansion of f in f 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.939 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.939 * [taylor]: Taking taylor expansion of f in f 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.939 * [taylor]: Taking taylor expansion of n in f 2.939 * [backup-simplify]: Simplify n into n 2.939 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.940 * [backup-simplify]: Simplify (- 1) into -1 2.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.941 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (/ -1 1) into -1 2.941 * [backup-simplify]: Simplify (* -1 -1) into 1 2.941 * [taylor]: Taking taylor expansion of 1 in n 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.943 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.944 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 2.945 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 2.945 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.945 * [taylor]: Taking taylor expansion of 2 in n 2.945 * [backup-simplify]: Simplify 2 into 2 2.945 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.945 * [taylor]: Taking taylor expansion of n in n 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.947 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.949 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.953 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.953 * [taylor]: Taking taylor expansion of 2 in n 2.953 * [backup-simplify]: Simplify 2 into 2 2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.953 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.953 * [taylor]: Taking taylor expansion of n in n 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (* 1 1) into 1 2.954 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.966 * [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))) 2.967 * [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)))) 2.967 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.968 * [taylor]: Taking taylor expansion of 2 in n 2.968 * [backup-simplify]: Simplify 2 into 2 2.968 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.968 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.968 * [taylor]: Taking taylor expansion of n in n 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (* 1 1) into 1 2.968 * [backup-simplify]: Simplify (* 1 1) into 1 2.969 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (- 0) into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.979 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 2.979 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.979 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.979 * [taylor]: Taking taylor expansion of -1 in n 2.979 * [backup-simplify]: Simplify -1 into -1 2.979 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.979 * [taylor]: Taking taylor expansion of (+ n f) in n 2.979 * [taylor]: Taking taylor expansion of n in n 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [taylor]: Taking taylor expansion of f in n 2.979 * [backup-simplify]: Simplify f into f 2.979 * [taylor]: Taking taylor expansion of (- f n) in n 2.979 * [taylor]: Taking taylor expansion of f in n 2.979 * [backup-simplify]: Simplify f into f 2.979 * [taylor]: Taking taylor expansion of n in n 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (+ 0 f) into f 2.980 * [backup-simplify]: Simplify (- 0) into 0 2.980 * [backup-simplify]: Simplify (+ f 0) into f 2.980 * [backup-simplify]: Simplify (/ f f) into 1 2.980 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.980 * [taylor]: Taking taylor expansion of -1 in f 2.980 * [backup-simplify]: Simplify -1 into -1 2.980 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.980 * [taylor]: Taking taylor expansion of (+ n f) in f 2.980 * [taylor]: Taking taylor expansion of n in f 2.980 * [backup-simplify]: Simplify n into n 2.980 * [taylor]: Taking taylor expansion of f in f 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [taylor]: Taking taylor expansion of (- f n) in f 2.980 * [taylor]: Taking taylor expansion of f in f 2.980 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [taylor]: Taking taylor expansion of n in f 2.981 * [backup-simplify]: Simplify n into n 2.981 * [backup-simplify]: Simplify (+ n 0) into n 2.981 * [backup-simplify]: Simplify (- n) into (- n) 2.981 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.981 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.981 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.981 * [taylor]: Taking taylor expansion of -1 in f 2.981 * [backup-simplify]: Simplify -1 into -1 2.981 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.981 * [taylor]: Taking taylor expansion of (+ n f) in f 2.981 * [taylor]: Taking taylor expansion of n in f 2.981 * [backup-simplify]: Simplify n into n 2.981 * [taylor]: Taking taylor expansion of f in f 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [taylor]: Taking taylor expansion of (- f n) in f 2.981 * [taylor]: Taking taylor expansion of f in f 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [taylor]: Taking taylor expansion of n in f 2.981 * [backup-simplify]: Simplify n into n 2.981 * [backup-simplify]: Simplify (+ n 0) into n 2.981 * [backup-simplify]: Simplify (- n) into (- n) 2.981 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.981 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.982 * [backup-simplify]: Simplify (* -1 -1) into 1 2.982 * [taylor]: Taking taylor expansion of 1 in n 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (+ 0 1) into 1 2.983 * [backup-simplify]: Simplify (- 0) into 0 2.983 * [backup-simplify]: Simplify (+ 1 0) into 1 2.983 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.983 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.983 * [taylor]: Taking taylor expansion of 2 in n 2.984 * [backup-simplify]: Simplify 2 into 2 2.984 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.984 * [taylor]: Taking taylor expansion of n in n 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.986 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.986 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.986 * [taylor]: Taking taylor expansion of 2 in n 2.986 * [backup-simplify]: Simplify 2 into 2 2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.986 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.986 * [taylor]: Taking taylor expansion of n in n 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (* 1 1) into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.994 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.996 * [backup-simplify]: Simplify (- 0) into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [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)))) 2.997 * [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))) 2.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.997 * [taylor]: Taking taylor expansion of 2 in n 2.997 * [backup-simplify]: Simplify 2 into 2 2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.997 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.997 * [taylor]: Taking taylor expansion of n in n 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.998 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.004 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.004 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.004 * [taylor]: Taking taylor expansion of -1 in n 3.004 * [backup-simplify]: Simplify -1 into -1 3.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.004 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.004 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.004 * [taylor]: Taking taylor expansion of f in n 3.004 * [backup-simplify]: Simplify f into f 3.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.004 * [taylor]: Taking taylor expansion of n in n 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify (/ 1 1) into 1 3.004 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.004 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.004 * [taylor]: Taking taylor expansion of f in n 3.004 * [backup-simplify]: Simplify f into f 3.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.005 * [taylor]: Taking taylor expansion of n in n 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (/ 1 1) into 1 3.005 * [backup-simplify]: Simplify (+ 0 1) into 1 3.005 * [backup-simplify]: Simplify (- 1) into -1 3.006 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.006 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.006 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.006 * [taylor]: Taking taylor expansion of -1 in f 3.006 * [backup-simplify]: Simplify -1 into -1 3.006 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.006 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.006 * [taylor]: Taking taylor expansion of n in f 3.006 * [backup-simplify]: Simplify n into n 3.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.006 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.006 * [taylor]: Taking taylor expansion of f in f 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.007 * [taylor]: Taking taylor expansion of n in f 3.007 * [backup-simplify]: Simplify n into n 3.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.007 * [backup-simplify]: Simplify (+ 1 0) into 1 3.007 * [backup-simplify]: Simplify (+ 1 0) into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.008 * [taylor]: Taking taylor expansion of -1 in f 3.008 * [backup-simplify]: Simplify -1 into -1 3.008 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.008 * [taylor]: Taking taylor expansion of f in f 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.008 * [taylor]: Taking taylor expansion of n in f 3.008 * [backup-simplify]: Simplify n into n 3.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.008 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.008 * [taylor]: Taking taylor expansion of f in f 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.008 * [taylor]: Taking taylor expansion of n in f 3.009 * [backup-simplify]: Simplify n into n 3.009 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.009 * [backup-simplify]: Simplify (+ 1 0) into 1 3.009 * [backup-simplify]: Simplify (+ 1 0) into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [backup-simplify]: Simplify (* -1 1) into -1 3.010 * [taylor]: Taking taylor expansion of -1 in n 3.010 * [backup-simplify]: Simplify -1 into -1 3.010 * [backup-simplify]: Simplify -1 into -1 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.012 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.012 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.013 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.013 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.013 * [taylor]: Taking taylor expansion of 2 in n 3.013 * [backup-simplify]: Simplify 2 into 2 3.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.013 * [taylor]: Taking taylor expansion of n in n 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (/ 1 1) into 1 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.016 * [backup-simplify]: Simplify (- 0) into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.019 * [backup-simplify]: Simplify (- 0) into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.021 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.021 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.021 * [taylor]: Taking taylor expansion of 2 in n 3.021 * [backup-simplify]: Simplify 2 into 2 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.022 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.022 * [taylor]: Taking taylor expansion of n in n 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.022 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.027 * [backup-simplify]: Simplify (- 0) into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.032 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.033 * [backup-simplify]: Simplify (- 0) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.037 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.037 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.037 * [taylor]: Taking taylor expansion of 2 in n 3.037 * [backup-simplify]: Simplify 2 into 2 3.037 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.037 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.037 * [taylor]: Taking taylor expansion of n in n 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (* 1 1) into 1 3.038 * [backup-simplify]: Simplify (* 1 1) into 1 3.039 * [backup-simplify]: Simplify (/ 1 1) into 1 3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (- 0) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify -1 into -1 3.049 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.049 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.049 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.049 * [taylor]: Taking taylor expansion of f in n 3.049 * [backup-simplify]: Simplify f into f 3.049 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.050 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.050 * [taylor]: Taking taylor expansion of n in n 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (/ 1 1) into 1 3.050 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.050 * [taylor]: Taking taylor expansion of f in n 3.050 * [backup-simplify]: Simplify f into f 3.050 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.050 * [backup-simplify]: Simplify (+ 0 1) into 1 3.050 * [backup-simplify]: Simplify (+ 1 0) into 1 3.051 * [backup-simplify]: Simplify (/ 1 1) into 1 3.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.051 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.051 * [taylor]: Taking taylor expansion of f in f 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (/ 1 1) into 1 3.051 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.051 * [taylor]: Taking taylor expansion of n in f 3.051 * [backup-simplify]: Simplify n into n 3.051 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.051 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.051 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.051 * [taylor]: Taking taylor expansion of n in f 3.051 * [backup-simplify]: Simplify n into n 3.051 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.051 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.051 * [taylor]: Taking taylor expansion of f in f 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (/ 1 1) into 1 3.052 * [backup-simplify]: Simplify (+ 1 0) into 1 3.052 * [backup-simplify]: Simplify (- 1) into -1 3.052 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.053 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.053 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.053 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.053 * [taylor]: Taking taylor expansion of f in f 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (/ 1 1) into 1 3.053 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.053 * [taylor]: Taking taylor expansion of n in f 3.053 * [backup-simplify]: Simplify n into n 3.053 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.053 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.053 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.053 * [taylor]: Taking taylor expansion of n in f 3.053 * [backup-simplify]: Simplify n into n 3.053 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.053 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.053 * [taylor]: Taking taylor expansion of f in f 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (/ 1 1) into 1 3.054 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (- 1) into -1 3.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.055 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.055 * [taylor]: Taking taylor expansion of -1 in n 3.055 * [backup-simplify]: Simplify -1 into -1 3.055 * [backup-simplify]: Simplify -1 into -1 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (- 0) into 0 3.056 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.056 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.056 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.056 * [taylor]: Taking taylor expansion of 2 in n 3.056 * [backup-simplify]: Simplify 2 into 2 3.056 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.056 * [taylor]: Taking taylor expansion of n in n 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (/ 1 1) into 1 3.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.058 * [backup-simplify]: Simplify (- 0) into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (- 0) into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.061 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.061 * [taylor]: Taking taylor expansion of 2 in n 3.061 * [backup-simplify]: Simplify 2 into 2 3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.061 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.061 * [taylor]: Taking taylor expansion of n in n 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (* 1 1) into 1 3.061 * [backup-simplify]: Simplify (/ 1 1) into 1 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.064 * [backup-simplify]: Simplify (- 0) into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.065 * [backup-simplify]: Simplify (- 0) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (- 0) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.069 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.069 * [taylor]: Taking taylor expansion of 2 in n 3.069 * [backup-simplify]: Simplify 2 into 2 3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.069 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.069 * [taylor]: Taking taylor expansion of n in n 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify 1 into 1 3.069 * [backup-simplify]: Simplify (* 1 1) into 1 3.070 * [backup-simplify]: Simplify (* 1 1) into 1 3.070 * [backup-simplify]: Simplify (/ 1 1) into 1 3.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (- 0) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify -1 into -1 3.076 * * * [progress]: simplifying candidates 3.080 * [simplify]: Simplifying: (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* 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1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 3.086 * * [simplify]: iteration 0: 219 enodes 3.218 * * [simplify]: iteration 1: 589 enodes 3.480 * * [simplify]: iteration 2: 2128 enodes 4.233 * * [simplify]: iteration complete: 5002 enodes 4.233 * * [simplify]: Extracting #0: cost 166 inf + 0 4.235 * * [simplify]: Extracting #1: cost 1292 inf + 2 4.243 * * [simplify]: Extracting #2: cost 1896 inf + 7521 4.264 * * [simplify]: Extracting #3: cost 1751 inf + 73854 4.347 * * [simplify]: Extracting #4: cost 504 inf + 326134 4.462 * * [simplify]: Extracting #5: cost 29 inf + 448579 4.555 * * [simplify]: Extracting #6: cost 16 inf + 453810 4.640 * * [simplify]: Extracting #7: cost 2 inf + 456081 4.735 * * [simplify]: Extracting #8: cost 0 inf + 456587 4.837 * [simplify]: Simplified to: (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (- f) n) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f 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f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt -1)) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt -1)) (/ (sqrt -1) (/ (- f n) (sqrt (+ n f)))) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (/ (sqrt -1) (- f n)) (* (+ n f) (sqrt -1)) (* (+ (* n (* n n)) (* (* f f) f)) (/ (sqrt -1) (- f n))) (/ (sqrt -1) (+ (* f f) (* n (- n f)))) (* (/ (sqrt -1) (- f n)) (* (+ f n) (- f n))) (/ (sqrt -1) (- f n)) (/ (/ 1 (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f)))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (- f) n) (- f n)) 1 (/ (- (- f) n) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (- f) n) (- f n)) 1 (/ (- (- f) n) (- f n)) 1 (/ (- (- f) n) (- f n)) (/ 1 (- f n)) (- (- f) n) (/ (+ (* n (* n n)) (* (* f f) f)) (- f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ (* (+ f n) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (- f) n)) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (* n (* n n)) (* (* f f) f))) (- f n)) (/ (- (* (+ f n) (- f n))) (- f n)) (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ (- f n) (sqrt -1)) (+ n f)) (/ (- f n) (- (- f) n)) (/ -1 (- f n)) -1 1 1 1 -1 -1 4.848 * * * [progress]: adding candidates to table 5.632 * * [progress]: iteration 3 / 4 5.632 * * * [progress]: picking best candidate 5.645 * * * * [pick]: Picked # 5.645 * * * [progress]: localizing error 5.675 * * * [progress]: generating rewritten candidates 5.675 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.693 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.793 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.986 * * * [progress]: generating series expansions 5.986 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.986 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 5.986 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 5.986 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.987 * [taylor]: Taking taylor expansion of n in f 5.987 * [backup-simplify]: Simplify n into n 5.987 * [taylor]: Taking taylor expansion of (+ n f) in f 5.987 * [taylor]: Taking taylor expansion of n in f 5.987 * [backup-simplify]: Simplify n into n 5.987 * [taylor]: Taking taylor expansion of f in f 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (+ n 0) into n 5.987 * [backup-simplify]: Simplify (/ n n) into 1 5.987 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.987 * [taylor]: Taking taylor expansion of n in n 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of (+ n f) in n 5.987 * [taylor]: Taking taylor expansion of n in n 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of f in n 5.987 * [backup-simplify]: Simplify f into f 5.987 * [backup-simplify]: Simplify (+ 0 f) into f 5.987 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.987 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.987 * [taylor]: Taking taylor expansion of n in n 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of (+ n f) in n 5.987 * [taylor]: Taking taylor expansion of n in n 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of f in n 5.987 * [backup-simplify]: Simplify f into f 5.988 * [backup-simplify]: Simplify (+ 0 f) into f 5.988 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.988 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.988 * [taylor]: Taking taylor expansion of f in f 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 1 into 1 5.989 * [backup-simplify]: Simplify (/ 1 1) into 1 5.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (+ 1 0) into 1 5.990 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 5.990 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 5.990 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.990 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.990 * [taylor]: Taking taylor expansion of f in f 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.991 * [backup-simplify]: Simplify (* 1 1) into 1 5.991 * [backup-simplify]: Simplify (/ 1 1) into 1 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (- 0) into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (+ 0 0) into 0 5.996 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 5.996 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 5.996 * [taylor]: Taking taylor expansion of (pow f 3) in f 5.996 * [taylor]: Taking taylor expansion of f in f 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (* 1 1) into 1 5.997 * [backup-simplify]: Simplify (* 1 1) into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.008 * [backup-simplify]: Simplify (- 0) into 0 6.008 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 6.009 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 6.009 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.009 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.010 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.010 * [taylor]: Taking taylor expansion of f in f 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify (/ 1 1) into 1 6.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.010 * [taylor]: Taking taylor expansion of n in f 6.010 * [backup-simplify]: Simplify n into n 6.010 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.010 * [taylor]: Taking taylor expansion of n in f 6.010 * [backup-simplify]: Simplify n into n 6.011 * [backup-simplify]: Simplify (+ 1 0) into 1 6.011 * [backup-simplify]: Simplify (* 1 n) into n 6.011 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.011 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.011 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.011 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.011 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.011 * [taylor]: Taking taylor expansion of f in n 6.011 * [backup-simplify]: Simplify f into f 6.011 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.011 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.011 * [taylor]: Taking taylor expansion of n in n 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (/ 1 1) into 1 6.012 * [taylor]: Taking taylor expansion of n in n 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.012 * [backup-simplify]: Simplify (+ 0 1) into 1 6.012 * [backup-simplify]: Simplify (* 1 0) into 0 6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.014 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.014 * [backup-simplify]: Simplify (/ 1 1) into 1 6.014 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.014 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.014 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.014 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.014 * [taylor]: Taking taylor expansion of f in n 6.014 * [backup-simplify]: Simplify f into f 6.014 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.014 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.014 * [taylor]: Taking taylor expansion of n in n 6.014 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 1 into 1 6.015 * [backup-simplify]: Simplify (/ 1 1) into 1 6.015 * [taylor]: Taking taylor expansion of n in n 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 1 into 1 6.015 * [backup-simplify]: Simplify (+ 0 1) into 1 6.016 * [backup-simplify]: Simplify (* 1 0) into 0 6.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.017 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.018 * [backup-simplify]: Simplify (/ 1 1) into 1 6.018 * [taylor]: Taking taylor expansion of 1 in f 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 6.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 6.020 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 6.021 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.021 * [taylor]: Taking taylor expansion of f in f 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (+ 0 0) into 0 6.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 6.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 6.027 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 6.027 * [taylor]: Taking taylor expansion of (pow f 2) in f 6.027 * [taylor]: Taking taylor expansion of f in f 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (* 1 1) into 1 6.028 * [backup-simplify]: Simplify (/ 1 1) into 1 6.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.034 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.035 * [backup-simplify]: Simplify (- 0) into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 6.035 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 6.035 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.036 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.036 * [taylor]: Taking taylor expansion of f in f 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (/ 1 1) into 1 6.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.036 * [taylor]: Taking taylor expansion of n in f 6.036 * [backup-simplify]: Simplify n into n 6.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.036 * [taylor]: Taking taylor expansion of n in f 6.036 * [backup-simplify]: Simplify n into n 6.037 * [backup-simplify]: Simplify (+ 1 0) into 1 6.037 * [backup-simplify]: Simplify (* 1 n) into n 6.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.037 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.037 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.037 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.037 * [taylor]: Taking taylor expansion of f in n 6.037 * [backup-simplify]: Simplify f into f 6.037 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.037 * [taylor]: Taking taylor expansion of n in n 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [taylor]: Taking taylor expansion of n in n 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (+ 0 1) into 1 6.039 * [backup-simplify]: Simplify (* 1 0) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.040 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.041 * [backup-simplify]: Simplify (/ 1 1) into 1 6.041 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.041 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.041 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.041 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.041 * [taylor]: Taking taylor expansion of f in n 6.041 * [backup-simplify]: Simplify f into f 6.041 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.041 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.041 * [taylor]: Taking taylor expansion of n in n 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 1 into 1 6.041 * [backup-simplify]: Simplify (/ 1 1) into 1 6.041 * [taylor]: Taking taylor expansion of n in n 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (+ 0 1) into 1 6.042 * [backup-simplify]: Simplify (* 1 0) into 0 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.043 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.044 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.044 * [taylor]: Taking taylor expansion of 1 in f 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 6.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.046 * [backup-simplify]: Simplify (+ 0 0) into 0 6.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 6.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 6.047 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 6.047 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.047 * [taylor]: Taking taylor expansion of f in f 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [backup-simplify]: Simplify (/ 1 1) into 1 6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.050 * [backup-simplify]: Simplify (- 0) into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (+ 0 0) into 0 6.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 6.053 * [taylor]: Taking taylor expansion of (pow f 2) in f 6.053 * [taylor]: Taking taylor expansion of f in f 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (* 1 1) into 1 6.054 * [backup-simplify]: Simplify (/ 1 1) into 1 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.061 * [backup-simplify]: Simplify (- 0) into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.061 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 6.061 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 6.061 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 6.061 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 6.061 * [taylor]: Taking taylor expansion of f in n 6.061 * [backup-simplify]: Simplify f into f 6.061 * [taylor]: Taking taylor expansion of (+ n f) in n 6.061 * [taylor]: Taking taylor expansion of n in n 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 1 into 1 6.061 * [taylor]: Taking taylor expansion of f in n 6.061 * [backup-simplify]: Simplify f into f 6.062 * [backup-simplify]: Simplify (+ 0 f) into f 6.062 * [backup-simplify]: Simplify (/ f f) into 1 6.062 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 6.062 * [taylor]: Taking taylor expansion of n in n 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of (+ n f) in n 6.062 * [taylor]: Taking taylor expansion of n in n 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of f in n 6.062 * [backup-simplify]: Simplify f into f 6.062 * [backup-simplify]: Simplify (+ 0 f) into f 6.062 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.062 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.062 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.062 * [taylor]: Taking taylor expansion of f in f 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of (+ n f) in f 6.062 * [taylor]: Taking taylor expansion of n in f 6.062 * [backup-simplify]: Simplify n into n 6.062 * [taylor]: Taking taylor expansion of f in f 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (+ n 0) into n 6.062 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.062 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.062 * [taylor]: Taking taylor expansion of n in f 6.062 * [backup-simplify]: Simplify n into n 6.062 * [taylor]: Taking taylor expansion of (+ n f) in f 6.062 * [taylor]: Taking taylor expansion of n in f 6.062 * [backup-simplify]: Simplify n into n 6.062 * [taylor]: Taking taylor expansion of f in f 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (+ n 0) into n 6.062 * [backup-simplify]: Simplify (/ n n) into 1 6.062 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.062 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.062 * [taylor]: Taking taylor expansion of f in f 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of (+ n f) in f 6.062 * [taylor]: Taking taylor expansion of n in f 6.062 * [backup-simplify]: Simplify n into n 6.062 * [taylor]: Taking taylor expansion of f in f 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (+ n 0) into n 6.062 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.062 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.062 * [taylor]: Taking taylor expansion of n in f 6.062 * [backup-simplify]: Simplify n into n 6.062 * [taylor]: Taking taylor expansion of (+ n f) in f 6.062 * [taylor]: Taking taylor expansion of n in f 6.062 * [backup-simplify]: Simplify n into n 6.062 * [taylor]: Taking taylor expansion of f in f 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (+ n 0) into n 6.063 * [backup-simplify]: Simplify (/ n n) into 1 6.063 * [backup-simplify]: Simplify (- 1) into -1 6.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.063 * [taylor]: Taking taylor expansion of -1 in n 6.063 * [backup-simplify]: Simplify -1 into -1 6.063 * [backup-simplify]: Simplify -1 into -1 6.064 * [backup-simplify]: Simplify (+ 0 1) into 1 6.064 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 6.064 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 6.064 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 6.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.064 * [taylor]: Taking taylor expansion of 2 in n 6.064 * [backup-simplify]: Simplify 2 into 2 6.064 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.064 * [taylor]: Taking taylor expansion of n in n 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 1 into 1 6.064 * [backup-simplify]: Simplify (/ 1 1) into 1 6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (+ 0 1) into 1 6.066 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.066 * [backup-simplify]: Simplify (+ 0 0) into 0 6.066 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 6.066 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 6.066 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 6.066 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.066 * [taylor]: Taking taylor expansion of 2 in n 6.066 * [backup-simplify]: Simplify 2 into 2 6.066 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.066 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.066 * [taylor]: Taking taylor expansion of n in n 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (* 1 1) into 1 6.067 * [backup-simplify]: Simplify (/ 1 1) into 1 6.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.074 * [backup-simplify]: Simplify (- 0) into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify (+ 0 0) into 0 6.076 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.076 * [backup-simplify]: Simplify (+ 0 0) into 0 6.077 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 6.077 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 6.077 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 6.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.077 * [taylor]: Taking taylor expansion of 2 in n 6.077 * [backup-simplify]: Simplify 2 into 2 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.077 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.077 * [taylor]: Taking taylor expansion of n in n 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.078 * [backup-simplify]: Simplify (* 1 1) into 1 6.078 * [backup-simplify]: Simplify (/ 1 1) into 1 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify -1 into -1 6.084 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 6.084 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 6.085 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.085 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.085 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.085 * [taylor]: Taking taylor expansion of f in n 6.085 * [backup-simplify]: Simplify f into f 6.085 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.085 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.085 * [taylor]: Taking taylor expansion of n in n 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [taylor]: Taking taylor expansion of f in n 6.085 * [backup-simplify]: Simplify f into f 6.085 * [backup-simplify]: Simplify (+ 0 1) into 1 6.085 * [backup-simplify]: Simplify (* 1 f) into f 6.085 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.086 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.086 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.086 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.086 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.086 * [taylor]: Taking taylor expansion of f in n 6.086 * [backup-simplify]: Simplify f into f 6.086 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.086 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.086 * [taylor]: Taking taylor expansion of n in n 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (/ 1 1) into 1 6.086 * [taylor]: Taking taylor expansion of n in n 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (+ 0 1) into 1 6.087 * [backup-simplify]: Simplify (* 1 0) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.089 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.089 * [backup-simplify]: Simplify (/ 1 1) into 1 6.089 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.090 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.090 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.090 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.090 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.090 * [taylor]: Taking taylor expansion of f in f 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.090 * [backup-simplify]: Simplify (/ 1 1) into 1 6.090 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.090 * [taylor]: Taking taylor expansion of n in f 6.090 * [backup-simplify]: Simplify n into n 6.090 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.090 * [taylor]: Taking taylor expansion of f in f 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.090 * [backup-simplify]: Simplify (+ 1 0) into 1 6.091 * [backup-simplify]: Simplify (* 1 0) into 0 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.091 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.092 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.092 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.092 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.092 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.092 * [taylor]: Taking taylor expansion of f in f 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.092 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.092 * [taylor]: Taking taylor expansion of n in f 6.092 * [backup-simplify]: Simplify n into n 6.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.092 * [taylor]: Taking taylor expansion of n in f 6.092 * [backup-simplify]: Simplify n into n 6.093 * [backup-simplify]: Simplify (+ 1 0) into 1 6.093 * [backup-simplify]: Simplify (* 1 n) into n 6.093 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.093 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.093 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.093 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.093 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.093 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.093 * [taylor]: Taking taylor expansion of f in f 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.093 * [taylor]: Taking taylor expansion of n in f 6.093 * [backup-simplify]: Simplify n into n 6.093 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.093 * [taylor]: Taking taylor expansion of f in f 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (+ 1 0) into 1 6.094 * [backup-simplify]: Simplify (* 1 0) into 0 6.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.094 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.095 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.095 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.095 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.095 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.095 * [taylor]: Taking taylor expansion of f in f 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.095 * [taylor]: Taking taylor expansion of n in f 6.095 * [backup-simplify]: Simplify n into n 6.096 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.096 * [taylor]: Taking taylor expansion of n in f 6.096 * [backup-simplify]: Simplify n into n 6.096 * [backup-simplify]: Simplify (+ 1 0) into 1 6.096 * [backup-simplify]: Simplify (* 1 n) into n 6.096 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.096 * [backup-simplify]: Simplify (+ 1 0) into 1 6.096 * [taylor]: Taking taylor expansion of 1 in n 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.098 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.098 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.098 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.098 * [taylor]: Taking taylor expansion of 2 in n 6.098 * [backup-simplify]: Simplify 2 into 2 6.098 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.098 * [taylor]: Taking taylor expansion of n in n 6.098 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify 1 into 1 6.099 * [backup-simplify]: Simplify (/ 1 1) into 1 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.101 * [backup-simplify]: Simplify (+ 0 0) into 0 6.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.104 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.104 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.104 * [taylor]: Taking taylor expansion of 2 in n 6.104 * [backup-simplify]: Simplify 2 into 2 6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.104 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.104 * [taylor]: Taking taylor expansion of n in n 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [backup-simplify]: Simplify (* 1 1) into 1 6.104 * [backup-simplify]: Simplify (/ 1 1) into 1 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.109 * [backup-simplify]: Simplify (- 0) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.113 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.113 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.114 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.114 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.114 * [taylor]: Taking taylor expansion of 2 in n 6.114 * [backup-simplify]: Simplify 2 into 2 6.114 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.114 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.114 * [taylor]: Taking taylor expansion of n in n 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 1 into 1 6.114 * [backup-simplify]: Simplify (* 1 1) into 1 6.114 * [backup-simplify]: Simplify (* 1 1) into 1 6.114 * [backup-simplify]: Simplify (/ 1 1) into 1 6.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.120 * [backup-simplify]: Simplify (- 0) into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 6.121 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 6.121 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.121 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.121 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.121 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.121 * [taylor]: Taking taylor expansion of f in n 6.121 * [backup-simplify]: Simplify f into f 6.121 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.121 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.121 * [taylor]: Taking taylor expansion of n in n 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (/ 1 1) into 1 6.121 * [taylor]: Taking taylor expansion of f in n 6.121 * [backup-simplify]: Simplify f into f 6.122 * [backup-simplify]: Simplify (+ 0 1) into 1 6.122 * [backup-simplify]: Simplify (* 1 f) into f 6.122 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.122 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.122 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.122 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.122 * [taylor]: Taking taylor expansion of f in n 6.122 * [backup-simplify]: Simplify f into f 6.122 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.122 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.122 * [taylor]: Taking taylor expansion of n in n 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (/ 1 1) into 1 6.122 * [taylor]: Taking taylor expansion of n in n 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (+ 0 1) into 1 6.123 * [backup-simplify]: Simplify (* 1 0) into 0 6.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.124 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.124 * [backup-simplify]: Simplify (/ 1 1) into 1 6.124 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.124 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.124 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.124 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.124 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.124 * [taylor]: Taking taylor expansion of f in f 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.124 * [backup-simplify]: Simplify (/ 1 1) into 1 6.124 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.124 * [taylor]: Taking taylor expansion of n in f 6.124 * [backup-simplify]: Simplify n into n 6.124 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.124 * [taylor]: Taking taylor expansion of f in f 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (+ 1 0) into 1 6.125 * [backup-simplify]: Simplify (* 1 0) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.126 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.126 * [backup-simplify]: Simplify (/ 1 1) into 1 6.126 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.126 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.126 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.126 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.126 * [taylor]: Taking taylor expansion of f in f 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (/ 1 1) into 1 6.126 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.126 * [taylor]: Taking taylor expansion of n in f 6.126 * [backup-simplify]: Simplify n into n 6.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.127 * [taylor]: Taking taylor expansion of n in f 6.127 * [backup-simplify]: Simplify n into n 6.127 * [backup-simplify]: Simplify (+ 1 0) into 1 6.127 * [backup-simplify]: Simplify (* 1 n) into n 6.127 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.127 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.127 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.127 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.127 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.127 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.127 * [taylor]: Taking taylor expansion of f in f 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 1 into 1 6.127 * [backup-simplify]: Simplify (/ 1 1) into 1 6.127 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.127 * [taylor]: Taking taylor expansion of n in f 6.127 * [backup-simplify]: Simplify n into n 6.127 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.127 * [taylor]: Taking taylor expansion of f in f 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (+ 1 0) into 1 6.128 * [backup-simplify]: Simplify (* 1 0) into 0 6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.129 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.129 * [backup-simplify]: Simplify (/ 1 1) into 1 6.129 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.129 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.129 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.129 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.129 * [taylor]: Taking taylor expansion of f in f 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (/ 1 1) into 1 6.130 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.130 * [taylor]: Taking taylor expansion of n in f 6.130 * [backup-simplify]: Simplify n into n 6.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.130 * [taylor]: Taking taylor expansion of n in f 6.130 * [backup-simplify]: Simplify n into n 6.130 * [backup-simplify]: Simplify (+ 1 0) into 1 6.130 * [backup-simplify]: Simplify (* 1 n) into n 6.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.130 * [backup-simplify]: Simplify (+ 1 0) into 1 6.130 * [taylor]: Taking taylor expansion of 1 in n 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify 1 into 1 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.132 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.132 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.132 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.132 * [taylor]: Taking taylor expansion of 2 in n 6.132 * [backup-simplify]: Simplify 2 into 2 6.132 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.132 * [taylor]: Taking taylor expansion of n in n 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify (/ 1 1) into 1 6.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.134 * [backup-simplify]: Simplify (- 0) into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.137 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.137 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.137 * [taylor]: Taking taylor expansion of 2 in n 6.137 * [backup-simplify]: Simplify 2 into 2 6.137 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.137 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.137 * [taylor]: Taking taylor expansion of n in n 6.137 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [backup-simplify]: Simplify (* 1 1) into 1 6.138 * [backup-simplify]: Simplify (/ 1 1) into 1 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.142 * [backup-simplify]: Simplify (- 0) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.143 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.147 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.147 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.147 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.147 * [taylor]: Taking taylor expansion of 2 in n 6.147 * [backup-simplify]: Simplify 2 into 2 6.147 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.147 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.147 * [taylor]: Taking taylor expansion of n in n 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (* 1 1) into 1 6.148 * [backup-simplify]: Simplify (* 1 1) into 1 6.148 * [backup-simplify]: Simplify (/ 1 1) into 1 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.154 * [backup-simplify]: Simplify (- 0) into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.154 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 6.154 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 6.154 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 6.155 * [taylor]: Taking taylor expansion of f in n 6.155 * [backup-simplify]: Simplify f into f 6.155 * [taylor]: Taking taylor expansion of (+ n f) in n 6.155 * [taylor]: Taking taylor expansion of n in n 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of f in n 6.155 * [backup-simplify]: Simplify f into f 6.155 * [backup-simplify]: Simplify (+ 0 f) into f 6.155 * [backup-simplify]: Simplify (/ f f) into 1 6.155 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.155 * [taylor]: Taking taylor expansion of f in f 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of (+ n f) in f 6.155 * [taylor]: Taking taylor expansion of n in f 6.155 * [backup-simplify]: Simplify n into n 6.155 * [taylor]: Taking taylor expansion of f in f 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (+ n 0) into n 6.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.155 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.155 * [taylor]: Taking taylor expansion of f in f 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of (+ n f) in f 6.155 * [taylor]: Taking taylor expansion of n in f 6.155 * [backup-simplify]: Simplify n into n 6.156 * [taylor]: Taking taylor expansion of f in f 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (+ n 0) into n 6.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.156 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.156 * [taylor]: Taking taylor expansion of n in n 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (+ 0 1) into 1 6.158 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.158 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.158 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.158 * [taylor]: Taking taylor expansion of n in n 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (* 1 1) into 1 6.159 * [backup-simplify]: Simplify (/ 1 1) into 1 6.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.165 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.165 * [taylor]: Taking taylor expansion of n in n 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.165 * [backup-simplify]: Simplify (* 1 1) into 1 6.166 * [backup-simplify]: Simplify (* 1 1) into 1 6.166 * [backup-simplify]: Simplify (/ 1 1) into 1 6.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (- 0) into 0 6.178 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 6.185 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 6.185 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.185 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.185 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.185 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.185 * [taylor]: Taking taylor expansion of f in n 6.185 * [backup-simplify]: Simplify f into f 6.185 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.185 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.185 * [taylor]: Taking taylor expansion of n in n 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (/ 1 1) into 1 6.186 * [taylor]: Taking taylor expansion of f in n 6.186 * [backup-simplify]: Simplify f into f 6.187 * [backup-simplify]: Simplify (+ 0 1) into 1 6.187 * [backup-simplify]: Simplify (* 1 f) into f 6.187 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.187 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.187 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.187 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.187 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.187 * [taylor]: Taking taylor expansion of f in f 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (/ 1 1) into 1 6.188 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.188 * [taylor]: Taking taylor expansion of n in f 6.188 * [backup-simplify]: Simplify n into n 6.188 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.188 * [taylor]: Taking taylor expansion of f in f 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (+ 1 0) into 1 6.189 * [backup-simplify]: Simplify (* 1 0) into 0 6.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.190 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.191 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.191 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.191 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.191 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.191 * [taylor]: Taking taylor expansion of f in f 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.192 * [backup-simplify]: Simplify (/ 1 1) into 1 6.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.192 * [taylor]: Taking taylor expansion of n in f 6.192 * [backup-simplify]: Simplify n into n 6.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.192 * [taylor]: Taking taylor expansion of f in f 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 1 into 1 6.193 * [backup-simplify]: Simplify (+ 1 0) into 1 6.193 * [backup-simplify]: Simplify (* 1 0) into 0 6.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.195 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [taylor]: Taking taylor expansion of 1 in n 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.197 * [backup-simplify]: Simplify (+ 0 0) into 0 6.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.199 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.199 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.199 * [taylor]: Taking taylor expansion of n in n 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify (/ 1 1) into 1 6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify (- 0) into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.203 * [backup-simplify]: Simplify (+ 0 0) into 0 6.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.206 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.206 * [taylor]: Taking taylor expansion of n in n 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify 1 into 1 6.207 * [backup-simplify]: Simplify (* 1 1) into 1 6.207 * [backup-simplify]: Simplify (/ 1 1) into 1 6.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (- 0) into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 6.214 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 6.214 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.215 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.215 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.215 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.215 * [taylor]: Taking taylor expansion of f in n 6.215 * [backup-simplify]: Simplify f into f 6.215 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.215 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.215 * [taylor]: Taking taylor expansion of n in n 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.215 * [backup-simplify]: Simplify (/ 1 1) into 1 6.215 * [taylor]: Taking taylor expansion of f in n 6.215 * [backup-simplify]: Simplify f into f 6.216 * [backup-simplify]: Simplify (+ 0 1) into 1 6.216 * [backup-simplify]: Simplify (* 1 f) into f 6.216 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.216 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.216 * [taylor]: Taking taylor expansion of f in f 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 1 into 1 6.216 * [backup-simplify]: Simplify (/ 1 1) into 1 6.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.216 * [taylor]: Taking taylor expansion of n in f 6.217 * [backup-simplify]: Simplify n into n 6.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.217 * [taylor]: Taking taylor expansion of f in f 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 1 into 1 6.217 * [backup-simplify]: Simplify (+ 1 0) into 1 6.218 * [backup-simplify]: Simplify (* 1 0) into 0 6.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.219 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.219 * [backup-simplify]: Simplify (/ 1 1) into 1 6.219 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.219 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.219 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.220 * [taylor]: Taking taylor expansion of f in f 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 1 into 1 6.220 * [backup-simplify]: Simplify (/ 1 1) into 1 6.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.220 * [taylor]: Taking taylor expansion of n in f 6.220 * [backup-simplify]: Simplify n into n 6.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.220 * [taylor]: Taking taylor expansion of f in f 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 1 into 1 6.221 * [backup-simplify]: Simplify (+ 1 0) into 1 6.221 * [backup-simplify]: Simplify (* 1 0) into 0 6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.222 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.223 * [backup-simplify]: Simplify (/ 1 1) into 1 6.223 * [taylor]: Taking taylor expansion of 1 in n 6.223 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.225 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.226 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.226 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.226 * [taylor]: Taking taylor expansion of n in n 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (/ 1 1) into 1 6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (- 0) into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.230 * [backup-simplify]: Simplify (+ 0 0) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.232 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.232 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.232 * [taylor]: Taking taylor expansion of n in n 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.233 * [backup-simplify]: Simplify (* 1 1) into 1 6.233 * [backup-simplify]: Simplify (/ 1 1) into 1 6.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.240 * [backup-simplify]: Simplify (- 0) into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.241 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 6.241 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 6.241 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 6.241 * [taylor]: Taking taylor expansion of -1 in n 6.241 * [backup-simplify]: Simplify -1 into -1 6.241 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 6.241 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 6.241 * [taylor]: Taking taylor expansion of f in n 6.241 * [backup-simplify]: Simplify f into f 6.241 * [taylor]: Taking taylor expansion of (+ n f) in n 6.241 * [taylor]: Taking taylor expansion of n in n 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [taylor]: Taking taylor expansion of f in n 6.241 * [backup-simplify]: Simplify f into f 6.241 * [backup-simplify]: Simplify (+ 0 f) into f 6.241 * [backup-simplify]: Simplify (/ f f) into 1 6.241 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 6.241 * [taylor]: Taking taylor expansion of n in n 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [taylor]: Taking taylor expansion of (+ n f) in n 6.241 * [taylor]: Taking taylor expansion of n in n 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [taylor]: Taking taylor expansion of f in n 6.241 * [backup-simplify]: Simplify f into f 6.241 * [backup-simplify]: Simplify (+ 0 f) into f 6.242 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.242 * [backup-simplify]: Simplify (+ 1 0) into 1 6.242 * [backup-simplify]: Simplify (/ -1 1) into -1 6.243 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 6.243 * [taylor]: Taking taylor expansion of -1 in f 6.243 * [backup-simplify]: Simplify -1 into -1 6.243 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.243 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.243 * [taylor]: Taking taylor expansion of f in f 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [taylor]: Taking taylor expansion of (+ n f) in f 6.243 * [taylor]: Taking taylor expansion of n in f 6.243 * [backup-simplify]: Simplify n into n 6.243 * [taylor]: Taking taylor expansion of f in f 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [backup-simplify]: Simplify (+ n 0) into n 6.243 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.243 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.243 * [taylor]: Taking taylor expansion of n in f 6.243 * [backup-simplify]: Simplify n into n 6.243 * [taylor]: Taking taylor expansion of (+ n f) in f 6.243 * [taylor]: Taking taylor expansion of n in f 6.243 * [backup-simplify]: Simplify n into n 6.243 * [taylor]: Taking taylor expansion of f in f 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [backup-simplify]: Simplify (+ n 0) into n 6.243 * [backup-simplify]: Simplify (/ n n) into 1 6.244 * [backup-simplify]: Simplify (- 1) into -1 6.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.245 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.245 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 6.245 * [taylor]: Taking taylor expansion of -1 in f 6.245 * [backup-simplify]: Simplify -1 into -1 6.245 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.245 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.245 * [taylor]: Taking taylor expansion of f in f 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of (+ n f) in f 6.245 * [taylor]: Taking taylor expansion of n in f 6.245 * [backup-simplify]: Simplify n into n 6.245 * [taylor]: Taking taylor expansion of f in f 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (+ n 0) into n 6.245 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.245 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.245 * [taylor]: Taking taylor expansion of n in f 6.245 * [backup-simplify]: Simplify n into n 6.245 * [taylor]: Taking taylor expansion of (+ n f) in f 6.245 * [taylor]: Taking taylor expansion of n in f 6.245 * [backup-simplify]: Simplify n into n 6.245 * [taylor]: Taking taylor expansion of f in f 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (+ n 0) into n 6.245 * [backup-simplify]: Simplify (/ n n) into 1 6.246 * [backup-simplify]: Simplify (- 1) into -1 6.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.247 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.247 * [taylor]: Taking taylor expansion of 1 in n 6.247 * [backup-simplify]: Simplify 1 into 1 6.247 * [backup-simplify]: Simplify 1 into 1 6.247 * [backup-simplify]: Simplify (+ 0 1) into 1 6.248 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 6.248 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 6.248 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 6.248 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 6.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.248 * [taylor]: Taking taylor expansion of 2 in n 6.248 * [backup-simplify]: Simplify 2 into 2 6.248 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.249 * [taylor]: Taking taylor expansion of n in n 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.249 * [backup-simplify]: Simplify (/ 1 1) into 1 6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.251 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify (+ 0 1) into 1 6.251 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.252 * [backup-simplify]: Simplify (+ 0 0) into 0 6.252 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 6.252 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 6.253 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 6.254 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 6.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.254 * [taylor]: Taking taylor expansion of 2 in n 6.254 * [backup-simplify]: Simplify 2 into 2 6.254 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.254 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.254 * [taylor]: Taking taylor expansion of n in n 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [backup-simplify]: Simplify (* 1 1) into 1 6.255 * [backup-simplify]: Simplify (/ 1 1) into 1 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.263 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.263 * [backup-simplify]: Simplify (+ 0 0) into 0 6.264 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 6.264 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 6.264 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 6.265 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 6.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.265 * [taylor]: Taking taylor expansion of 2 in n 6.265 * [backup-simplify]: Simplify 2 into 2 6.266 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.266 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.266 * [taylor]: Taking taylor expansion of n in n 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (* 1 1) into 1 6.266 * [backup-simplify]: Simplify (* 1 1) into 1 6.267 * [backup-simplify]: Simplify (/ 1 1) into 1 6.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 6.277 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 6.277 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 6.277 * [taylor]: Taking taylor expansion of -1 in n 6.277 * [backup-simplify]: Simplify -1 into -1 6.277 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.277 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.277 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.277 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.277 * [taylor]: Taking taylor expansion of f in n 6.277 * [backup-simplify]: Simplify f into f 6.277 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.277 * [taylor]: Taking taylor expansion of n in n 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [backup-simplify]: Simplify (/ 1 1) into 1 6.278 * [taylor]: Taking taylor expansion of f in n 6.278 * [backup-simplify]: Simplify f into f 6.279 * [backup-simplify]: Simplify (+ 0 1) into 1 6.279 * [backup-simplify]: Simplify (* 1 f) into f 6.279 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.279 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.279 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.279 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.279 * [taylor]: Taking taylor expansion of f in n 6.279 * [backup-simplify]: Simplify f into f 6.280 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.280 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.280 * [taylor]: Taking taylor expansion of n in n 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [backup-simplify]: Simplify (/ 1 1) into 1 6.280 * [taylor]: Taking taylor expansion of n in n 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (+ 0 1) into 1 6.281 * [backup-simplify]: Simplify (* 1 0) into 0 6.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.283 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.283 * [backup-simplify]: Simplify (/ 1 1) into 1 6.283 * [backup-simplify]: Simplify (- 1) into -1 6.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.284 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.284 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.284 * [taylor]: Taking taylor expansion of -1 in f 6.284 * [backup-simplify]: Simplify -1 into -1 6.284 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.284 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.284 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.285 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.285 * [taylor]: Taking taylor expansion of f in f 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (/ 1 1) into 1 6.285 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.285 * [taylor]: Taking taylor expansion of n in f 6.285 * [backup-simplify]: Simplify n into n 6.285 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.285 * [taylor]: Taking taylor expansion of f in f 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.286 * [backup-simplify]: Simplify (+ 1 0) into 1 6.286 * [backup-simplify]: Simplify (* 1 0) into 0 6.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.287 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.288 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.288 * [backup-simplify]: Simplify (/ 1 1) into 1 6.288 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.288 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.288 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.288 * [taylor]: Taking taylor expansion of f in f 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.289 * [backup-simplify]: Simplify (/ 1 1) into 1 6.289 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.289 * [taylor]: Taking taylor expansion of n in f 6.289 * [backup-simplify]: Simplify n into n 6.289 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.289 * [taylor]: Taking taylor expansion of n in f 6.289 * [backup-simplify]: Simplify n into n 6.289 * [backup-simplify]: Simplify (+ 1 0) into 1 6.289 * [backup-simplify]: Simplify (* 1 n) into n 6.290 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.290 * [backup-simplify]: Simplify (+ 1 0) into 1 6.290 * [backup-simplify]: Simplify (/ -1 1) into -1 6.290 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.291 * [taylor]: Taking taylor expansion of -1 in f 6.291 * [backup-simplify]: Simplify -1 into -1 6.291 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.291 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.291 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.291 * [taylor]: Taking taylor expansion of f in f 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify (/ 1 1) into 1 6.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.291 * [taylor]: Taking taylor expansion of n in f 6.291 * [backup-simplify]: Simplify n into n 6.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.291 * [taylor]: Taking taylor expansion of f in f 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (+ 1 0) into 1 6.292 * [backup-simplify]: Simplify (* 1 0) into 0 6.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.294 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.294 * [backup-simplify]: Simplify (/ 1 1) into 1 6.294 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.294 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.294 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.294 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.294 * [taylor]: Taking taylor expansion of f in f 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (/ 1 1) into 1 6.295 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.295 * [taylor]: Taking taylor expansion of n in f 6.295 * [backup-simplify]: Simplify n into n 6.295 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.295 * [taylor]: Taking taylor expansion of n in f 6.295 * [backup-simplify]: Simplify n into n 6.295 * [backup-simplify]: Simplify (+ 1 0) into 1 6.296 * [backup-simplify]: Simplify (* 1 n) into n 6.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.296 * [backup-simplify]: Simplify (+ 1 0) into 1 6.297 * [backup-simplify]: Simplify (/ -1 1) into -1 6.297 * [taylor]: Taking taylor expansion of -1 in n 6.297 * [backup-simplify]: Simplify -1 into -1 6.297 * [backup-simplify]: Simplify -1 into -1 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.298 * [backup-simplify]: Simplify (+ 0 0) into 0 6.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.300 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.300 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 6.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.300 * [taylor]: Taking taylor expansion of 2 in n 6.300 * [backup-simplify]: Simplify 2 into 2 6.301 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.301 * [taylor]: Taking taylor expansion of n in n 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 1 into 1 6.301 * [backup-simplify]: Simplify (/ 1 1) into 1 6.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.303 * [backup-simplify]: Simplify (- 0) into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.305 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.309 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.309 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.310 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.311 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.311 * [taylor]: Taking taylor expansion of 2 in n 6.311 * [backup-simplify]: Simplify 2 into 2 6.311 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.311 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.311 * [taylor]: Taking taylor expansion of n in n 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (* 1 1) into 1 6.312 * [backup-simplify]: Simplify (/ 1 1) into 1 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.317 * [backup-simplify]: Simplify (- 0) into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.319 * [backup-simplify]: Simplify (- 0) into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.321 * [backup-simplify]: Simplify (+ 0 0) into 0 6.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.325 * [backup-simplify]: Simplify (+ 0 0) into 0 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.326 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.327 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.328 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.328 * [taylor]: Taking taylor expansion of 2 in n 6.328 * [backup-simplify]: Simplify 2 into 2 6.328 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.328 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.328 * [taylor]: Taking taylor expansion of n in n 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (* 1 1) into 1 6.329 * [backup-simplify]: Simplify (* 1 1) into 1 6.330 * [backup-simplify]: Simplify (/ 1 1) into 1 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (- 0) into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify -1 into -1 6.337 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 6.337 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 6.337 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 6.337 * [taylor]: Taking taylor expansion of -1 in n 6.337 * [backup-simplify]: Simplify -1 into -1 6.337 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.337 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.337 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.337 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.337 * [taylor]: Taking taylor expansion of f in n 6.337 * [backup-simplify]: Simplify f into f 6.338 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.338 * [taylor]: Taking taylor expansion of n in n 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [backup-simplify]: Simplify (/ 1 1) into 1 6.338 * [taylor]: Taking taylor expansion of f in n 6.338 * [backup-simplify]: Simplify f into f 6.338 * [backup-simplify]: Simplify (+ 0 1) into 1 6.338 * [backup-simplify]: Simplify (* 1 f) into f 6.338 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.338 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.338 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.338 * [taylor]: Taking taylor expansion of f in n 6.338 * [backup-simplify]: Simplify f into f 6.338 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.338 * [taylor]: Taking taylor expansion of n in n 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.339 * [backup-simplify]: Simplify (/ 1 1) into 1 6.339 * [taylor]: Taking taylor expansion of n in n 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 1 into 1 6.339 * [backup-simplify]: Simplify (+ 0 1) into 1 6.339 * [backup-simplify]: Simplify (* 1 0) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.344 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.344 * [backup-simplify]: Simplify (/ 1 1) into 1 6.345 * [backup-simplify]: Simplify (- 1) into -1 6.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.345 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.345 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.345 * [taylor]: Taking taylor expansion of -1 in f 6.345 * [backup-simplify]: Simplify -1 into -1 6.345 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.345 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.345 * [taylor]: Taking taylor expansion of f in f 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (/ 1 1) into 1 6.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.346 * [taylor]: Taking taylor expansion of n in f 6.346 * [backup-simplify]: Simplify n into n 6.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.346 * [taylor]: Taking taylor expansion of f in f 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (+ 1 0) into 1 6.346 * [backup-simplify]: Simplify (* 1 0) into 0 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.347 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.348 * [backup-simplify]: Simplify (/ 1 1) into 1 6.348 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.348 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.348 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.348 * [taylor]: Taking taylor expansion of f in f 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.348 * [backup-simplify]: Simplify (/ 1 1) into 1 6.348 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.348 * [taylor]: Taking taylor expansion of n in f 6.348 * [backup-simplify]: Simplify n into n 6.348 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.348 * [taylor]: Taking taylor expansion of n in f 6.348 * [backup-simplify]: Simplify n into n 6.348 * [backup-simplify]: Simplify (+ 1 0) into 1 6.348 * [backup-simplify]: Simplify (* 1 n) into n 6.348 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.349 * [backup-simplify]: Simplify (+ 1 0) into 1 6.349 * [backup-simplify]: Simplify (/ -1 1) into -1 6.349 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.349 * [taylor]: Taking taylor expansion of -1 in f 6.349 * [backup-simplify]: Simplify -1 into -1 6.349 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.349 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.349 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.349 * [taylor]: Taking taylor expansion of f in f 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.349 * [taylor]: Taking taylor expansion of n in f 6.349 * [backup-simplify]: Simplify n into n 6.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.349 * [taylor]: Taking taylor expansion of f in f 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.350 * [backup-simplify]: Simplify (+ 1 0) into 1 6.350 * [backup-simplify]: Simplify (* 1 0) into 0 6.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.351 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.351 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.351 * [backup-simplify]: Simplify (/ 1 1) into 1 6.351 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.351 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.351 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.351 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.351 * [taylor]: Taking taylor expansion of f in f 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.352 * [backup-simplify]: Simplify (/ 1 1) into 1 6.352 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.352 * [taylor]: Taking taylor expansion of n in f 6.352 * [backup-simplify]: Simplify n into n 6.352 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.352 * [taylor]: Taking taylor expansion of n in f 6.352 * [backup-simplify]: Simplify n into n 6.352 * [backup-simplify]: Simplify (+ 1 0) into 1 6.352 * [backup-simplify]: Simplify (* 1 n) into n 6.352 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.352 * [backup-simplify]: Simplify (+ 1 0) into 1 6.353 * [backup-simplify]: Simplify (/ -1 1) into -1 6.353 * [taylor]: Taking taylor expansion of -1 in n 6.353 * [backup-simplify]: Simplify -1 into -1 6.353 * [backup-simplify]: Simplify -1 into -1 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.354 * [backup-simplify]: Simplify (+ 0 0) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.354 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.354 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 6.355 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.355 * [taylor]: Taking taylor expansion of 2 in n 6.355 * [backup-simplify]: Simplify 2 into 2 6.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.355 * [taylor]: Taking taylor expansion of n in n 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.356 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.356 * [backup-simplify]: Simplify (- 0) into 0 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.357 * [backup-simplify]: Simplify (+ 0 0) into 0 6.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.359 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.359 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.360 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.360 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.360 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.360 * [taylor]: Taking taylor expansion of 2 in n 6.360 * [backup-simplify]: Simplify 2 into 2 6.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.361 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.361 * [taylor]: Taking taylor expansion of n in n 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify (* 1 1) into 1 6.361 * [backup-simplify]: Simplify (/ 1 1) into 1 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.364 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.364 * [backup-simplify]: Simplify (- 0) into 0 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.365 * [backup-simplify]: Simplify (- 0) into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.367 * [backup-simplify]: Simplify (+ 0 0) into 0 6.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.372 * [backup-simplify]: Simplify (+ 0 0) into 0 6.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.373 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.373 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.375 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.375 * [taylor]: Taking taylor expansion of 2 in n 6.375 * [backup-simplify]: Simplify 2 into 2 6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.375 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.375 * [taylor]: Taking taylor expansion of n in n 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (* 1 1) into 1 6.376 * [backup-simplify]: Simplify (* 1 1) into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (- 0) into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify -1 into -1 6.386 * * * [progress]: simplifying candidates 6.391 * [simplify]: Simplifying: (- (log n) (log (+ f n))) (log (/ n (+ f n))) (exp (/ n (+ f n))) (/ (* (* n n) n) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (cbrt (/ n (+ f n))) (* (* (/ n (+ f n)) (/ n (+ f n))) (/ n (+ f n))) (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))) (- n) (- (+ f n)) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ n (sqrt (+ f n))) (/ 1 1) (/ n (+ f n)) (/ 1 1) (/ n (+ f n)) (/ 1 (+ f n)) (/ (+ f n) n) (/ n (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (sqrt (+ f n))) (/ n 1) (/ n 1) (/ (+ f n) (cbrt n)) (/ (+ f n) (sqrt n)) (/ (+ f n) n) (/ n (+ (pow f 3) (pow n 3))) (/ n (- (* f f) (* n n))) (/ (exp (/ f (+ f n))) (exp (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* f (+ f n)) (* (+ f n) n)) (* (+ f n) (+ f n)) (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3)) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))) (- (/ n (+ f n))) (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n)))) (+ (/ f (+ f n)) (/ n (+ f n))) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n)))) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- f n) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ f n))) (- (log f) (log (+ f n))) (log (/ f (+ f n))) (exp (/ f (+ f n))) (/ (* (* f f) f) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (* (* (/ f (+ f n)) (/ f (+ f n))) (/ f (+ f n))) (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- f) (- (+ f n)) (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt f) (cbrt (+ f n))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ f n))) (/ (cbrt f) (sqrt (+ f n))) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt f) (cbrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ f (sqrt (+ f n))) (/ 1 1) (/ f (+ f n)) (/ 1 1) (/ f (+ f n)) (/ 1 (+ f n)) (/ (+ f n) f) (/ f (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (sqrt (+ f n))) (/ f 1) (/ f 1) (/ (+ f n) (cbrt f)) (/ (+ f n) (sqrt f)) (/ (+ f n) f) (/ f (+ (pow f 3) (pow n 3))) (/ f (- (* f f) (* n n))) (- (log -1) (log (- (/ f (+ f n)) (/ n (+ f n))))) (log (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (* -1 -1) -1) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))))) (* (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (* (* (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (- -1) (- (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ (cbrt -1) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (cbrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (+ f n))) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (* f f) (- (* n n) (* f n)))) (/ (cbrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ (sqrt -1) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ (sqrt -1) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) 1) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) 1) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 (+ f n))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ 1 (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ -1 (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ 1 (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ 1 1) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ 1 (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ 1 (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ 1 (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 1) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 (+ f n))) (/ -1 (- f n)) (/ 1 (+ (* f f) (- (* n n) (* f n)))) (/ -1 (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))) (/ 1 (- f n)) (/ -1 (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ 1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ (- (/ f (+ f n)) (/ n (+ f n))) -1) (/ -1 (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ -1 (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 1) (/ -1 (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (/ 1 (+ f n))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ -1 (- f n)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (cbrt -1)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (sqrt -1)) (/ (- (/ f (+ f n)) (/ n (+ f n))) -1) (/ -1 (- f n)) (/ -1 (- (* f (+ f n)) (* (+ f n) n))) (/ -1 (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3))) (/ -1 (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n))))) 0 0 0 -1 1 1 0 0 0 1 -1 -1 6.397 * * [simplify]: iteration 0: 240 enodes 6.480 * * [simplify]: iteration 1: 494 enodes 6.742 * * [simplify]: iteration 2: 1713 enodes 7.546 * * [simplify]: iteration complete: 5001 enodes 7.546 * * [simplify]: Extracting #0: cost 181 inf + 0 7.548 * * [simplify]: Extracting #1: cost 950 inf + 169 7.562 * * [simplify]: Extracting #2: cost 1385 inf + 29712 7.621 * * [simplify]: Extracting #3: cost 823 inf + 179811 7.712 * * [simplify]: Extracting #4: cost 140 inf + 335159 7.784 * * [simplify]: Extracting #5: cost 6 inf + 349496 7.890 * * [simplify]: Extracting #6: cost 0 inf + 349822 7.972 * [simplify]: Simplified to: (log (/ n (+ n f))) (log (/ n (+ n f))) (exp (/ n (+ n f))) (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (cbrt (/ n (+ n f))) (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f))) (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))) (- n) (- (+ f n)) (* (/ (cbrt n) (cbrt (+ n f))) (/ (cbrt n) (cbrt (+ n f)))) (/ (cbrt n) (cbrt (+ n f))) (* (cbrt n) (/ (cbrt n) (sqrt (+ n f)))) (/ (cbrt n) (sqrt (+ n f))) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ n f)) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ n f)) (/ (sqrt n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt n) (cbrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))) (sqrt n) (/ (sqrt n) (+ n f)) (sqrt n) (/ (sqrt n) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ n (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ n (sqrt (+ n f))) 1 (/ n (+ n f)) 1 (/ n (+ n f)) (/ 1 (+ n f)) (/ (+ n f) n) (/ (/ n (cbrt (+ n f))) (cbrt (+ n f))) (/ n (sqrt (+ n f))) n n (/ (+ n f) (cbrt n)) (/ (+ n f) (sqrt n)) (/ (+ n f) n) (/ n (+ (* (* f f) f) (* (* n n) n))) (/ n (* (- f n) (+ n f))) (exp (- (/ f (+ n f)) (/ n (+ n f)))) (log (- (/ f (+ n f)) (/ n (+ n f)))) (exp (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (* (- (/ f (+ n f)) (/ n (+ n f))) (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))))) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (- f n) (- (* f (+ n f)) (* n (+ n f))) (* (+ n f) (+ n f)) (- (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f)))) (+ (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (+ (/ f (+ n f)) (/ n (+ n f))))) (/ (- n) (+ n f)) (- (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f)))) (+ (/ f (+ n f)) (/ n (+ n f))) (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f)))) (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f)))) (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f)))) (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f)))) (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f)))) (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f)))) (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f)))) (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- f n) (- (/ f (+ (* (* f f) f) (* (* n n) n))) (/ n (+ (* (* f f) f) (* (* n n) n)))) (- (/ f (* (- f n) (+ n f))) (/ n (* (- f n) (+ n f)))) (/ (- n) (+ n f)) (log (/ f (+ n f))) (log (/ f (+ n f))) (exp (/ f (+ n f))) (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- f) (- (+ f n)) (* (/ (cbrt f) (cbrt (+ n f))) (/ (cbrt f) (cbrt (+ n f)))) (/ (cbrt f) (cbrt (+ n f))) (* (/ (cbrt f) (sqrt (+ n f))) (cbrt f)) (/ (cbrt f) (sqrt (+ n f))) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ n f)) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ n f)) (/ (sqrt f) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt f) (cbrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))) (sqrt f) (/ (sqrt f) (+ n f)) (sqrt f) (/ (sqrt f) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ f (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ f (sqrt (+ n f))) 1 (/ f (+ n f)) 1 (/ f (+ n f)) (/ 1 (+ n f)) (/ (+ n f) f) (/ f (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ f (sqrt (+ n f))) f f (/ (+ n f) (cbrt f)) (/ (+ n f) (sqrt f)) (/ (+ n f) f) (/ f (+ (* (* f f) f) (* (* n n) n))) (/ f (* (- f n) (+ n f))) (log (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (log (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (exp (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (* (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (* (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))))) (* (cbrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))))) (cbrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (* (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (* (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))))) (sqrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (sqrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) 1 (+ (- (/ f (+ n f))) (/ n (+ n f))) (* (/ (cbrt -1) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (cbrt -1) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ (cbrt -1) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (cbrt -1) (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ (cbrt -1) (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ (cbrt -1) (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (* (cbrt -1) (cbrt -1)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt -1) (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (/ (cbrt -1) (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (* (cbrt -1) (cbrt -1)) (+ n f)) (/ (cbrt -1) (- f n)) (/ (cbrt -1) (/ (+ (* f f) (* n (- n f))) (cbrt -1))) (/ (cbrt -1) (- (/ f (+ (* (* f f) f) (* (* n n) n))) (/ n (+ (* (* f f) f) (* (* n n) n))))) (/ (cbrt -1) (/ (- f n) (cbrt -1))) (/ (cbrt -1) (- (/ f (* (- f n) (+ n f))) (/ n (* (- f n) (+ n f))))) (/ (sqrt -1) (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ (sqrt -1) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (sqrt -1) (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (sqrt -1) (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (/ (sqrt -1) (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ (sqrt -1) (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ (sqrt -1) (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ (sqrt -1) (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ (sqrt -1) (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ (sqrt -1) (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (sqrt -1) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt -1) (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (* (sqrt (+ n f)) (sqrt -1)) (/ (sqrt -1) (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (sqrt -1) (+ n f)) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (* f f) (* n (- n f)))) (/ (sqrt -1) (- (/ f (+ (* (* f f) f) (* (* n n) n))) (/ n (+ (* (* f f) f) (* (* n n) n))))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (- (/ f (* (- f n) (+ n f))) (/ n (* (- f n) (+ n f))))) (/ (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ 1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ -1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (sqrt (+ n f)) (/ -1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (+ n f) (/ -1 (- f n)) (/ 1 (+ (* f f) (* n (- n f)))) (/ -1 (- (/ f (+ (* (* f f) f) (* (* n n) n))) (/ n (+ (* (* f f) f) (* (* n n) n))))) (/ 1 (- f n)) (/ -1 (- (/ f (* (- f n) (+ n f))) (/ n (* (- f n) (+ n f))))) (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (- (+ f n))) (/ n (- (+ f n)))) (/ -1 (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) -1 (/ -1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 -1 -1 (- (+ f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ -1 (- f n)) (/ (- (/ f (+ n f)) (/ n (+ n f))) (cbrt -1)) (- (/ f (* (sqrt -1) (+ n f))) (/ n (* (sqrt -1) (+ n f)))) (- (/ f (- (+ f n))) (/ n (- (+ f n)))) (/ -1 (- f n)) (/ -1 (- (* f (+ n f)) (* n (+ n f)))) (/ -1 (- (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f))))) (/ -1 (- (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f))))) 0 0 0 -1 1 1 0 0 0 1 -1 -1 7.985 * * * [progress]: adding candidates to table 8.976 * * [progress]: iteration 4 / 4 8.976 * * * [progress]: picking best candidate 8.980 * * * * [pick]: Picked # 8.980 * * * [progress]: localizing error 9.000 * * * [progress]: generating rewritten candidates 9.000 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 9.061 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 9.068 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 9.123 * * * [progress]: generating series expansions 9.123 * * * * [progress]: [ 1 / 3 ] generating series at (2) 9.123 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 9.123 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 9.124 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 9.124 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 9.124 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.124 * [taylor]: Taking taylor expansion of n in n 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.124 * [taylor]: Taking taylor expansion of f in n 9.124 * [backup-simplify]: Simplify f into f 9.124 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 9.124 * [taylor]: Taking taylor expansion of (- f n) in n 9.124 * [taylor]: Taking taylor expansion of f in n 9.124 * [backup-simplify]: Simplify f into f 9.124 * [taylor]: Taking taylor expansion of n in n 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.125 * [backup-simplify]: Simplify (- 0) into 0 9.125 * [backup-simplify]: Simplify (+ f 0) into f 9.125 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.125 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 9.125 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 9.126 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.126 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 9.126 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 9.126 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 9.126 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.126 * [taylor]: Taking taylor expansion of n in f 9.126 * [backup-simplify]: Simplify n into n 9.126 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.126 * [taylor]: Taking taylor expansion of f in f 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.126 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 9.126 * [taylor]: Taking taylor expansion of (- f n) in f 9.126 * [taylor]: Taking taylor expansion of f in f 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.126 * [taylor]: Taking taylor expansion of n in f 9.126 * [backup-simplify]: Simplify n into n 9.126 * [backup-simplify]: Simplify (- n) into (- n) 9.126 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.126 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.127 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 9.127 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 9.127 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 9.127 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 9.127 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 9.127 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.127 * [taylor]: Taking taylor expansion of n in f 9.127 * [backup-simplify]: Simplify n into n 9.127 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.127 * [taylor]: Taking taylor expansion of f in f 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.127 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 9.127 * [taylor]: Taking taylor expansion of (- f n) in f 9.127 * [taylor]: Taking taylor expansion of f in f 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.127 * [taylor]: Taking taylor expansion of n in f 9.127 * [backup-simplify]: Simplify n into n 9.127 * [backup-simplify]: Simplify (- n) into (- n) 9.127 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.127 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.128 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 9.128 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 9.128 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 9.128 * [taylor]: Taking taylor expansion of 1 in n 9.128 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 9.129 * [backup-simplify]: Simplify (+ 0 0) into 0 9.129 * [backup-simplify]: Simplify (- 0) into 0 9.130 * [backup-simplify]: Simplify (+ 1 0) into 1 9.130 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 9.130 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 9.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.130 * [taylor]: Taking taylor expansion of 2 in n 9.130 * [backup-simplify]: Simplify 2 into 2 9.130 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.130 * [taylor]: Taking taylor expansion of n in n 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.131 * [backup-simplify]: Simplify (/ 1 1) into 1 9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 9.133 * [backup-simplify]: Simplify (* 1 1) into 1 9.134 * [backup-simplify]: Simplify (- 1) into -1 9.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.134 * [backup-simplify]: Simplify (- 0) into 0 9.135 * [backup-simplify]: Simplify (+ 0 0) into 0 9.135 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 9.136 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 9.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.136 * [taylor]: Taking taylor expansion of 2 in n 9.136 * [backup-simplify]: Simplify 2 into 2 9.136 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.136 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.136 * [taylor]: Taking taylor expansion of n in n 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify 1 into 1 9.137 * [backup-simplify]: Simplify (* 1 1) into 1 9.137 * [backup-simplify]: Simplify (/ 1 1) into 1 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.146 * [backup-simplify]: Simplify (- 0) into 0 9.146 * [backup-simplify]: Simplify (+ 0 0) into 0 9.146 * [backup-simplify]: Simplify (- 0) into 0 9.147 * [backup-simplify]: Simplify (+ 0 0) into 0 9.148 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 9.149 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 9.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.149 * [taylor]: Taking taylor expansion of 2 in n 9.149 * [backup-simplify]: Simplify 2 into 2 9.149 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.149 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.149 * [taylor]: Taking taylor expansion of n in n 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (* 1 1) into 1 9.150 * [backup-simplify]: Simplify (* 1 1) into 1 9.150 * [backup-simplify]: Simplify (/ 1 1) into 1 9.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.157 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) 9.157 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 9.157 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 9.157 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 9.157 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.157 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.157 * [taylor]: Taking taylor expansion of n in n 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (* 1 1) into 1 9.158 * [backup-simplify]: Simplify (/ 1 1) into 1 9.158 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 9.158 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.158 * [taylor]: Taking taylor expansion of f in n 9.158 * [backup-simplify]: Simplify f into f 9.158 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.158 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.158 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 9.158 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.158 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.158 * [taylor]: Taking taylor expansion of f in n 9.158 * [backup-simplify]: Simplify f into f 9.158 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.158 * [taylor]: Taking taylor expansion of n in n 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 1 into 1 9.159 * [backup-simplify]: Simplify (/ 1 1) into 1 9.159 * [backup-simplify]: Simplify (- 1) into -1 9.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.160 * [backup-simplify]: Simplify (+ 1 0) into 1 9.160 * [backup-simplify]: Simplify (* -1 -1) into 1 9.160 * [backup-simplify]: Simplify (/ 1 1) into 1 9.160 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 9.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 9.160 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.160 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.160 * [taylor]: Taking taylor expansion of n in f 9.160 * [backup-simplify]: Simplify n into n 9.160 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.160 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.160 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.160 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.160 * [taylor]: Taking taylor expansion of f in f 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (* 1 1) into 1 9.161 * [backup-simplify]: Simplify (/ 1 1) into 1 9.161 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 9.161 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.161 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.161 * [taylor]: Taking taylor expansion of f in f 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (/ 1 1) into 1 9.161 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.161 * [taylor]: Taking taylor expansion of n in f 9.161 * [backup-simplify]: Simplify n into n 9.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.162 * [backup-simplify]: Simplify (+ 1 0) into 1 9.162 * [backup-simplify]: Simplify (- 1) into -1 9.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.163 * [backup-simplify]: Simplify (* 1 1) into 1 9.163 * [backup-simplify]: Simplify (/ -1 1) into -1 9.163 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 9.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 9.163 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.163 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.163 * [taylor]: Taking taylor expansion of n in f 9.163 * [backup-simplify]: Simplify n into n 9.163 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.163 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.163 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.163 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.163 * [taylor]: Taking taylor expansion of f in f 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [backup-simplify]: Simplify (* 1 1) into 1 9.164 * [backup-simplify]: Simplify (/ 1 1) into 1 9.164 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 9.164 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.164 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.164 * [taylor]: Taking taylor expansion of f in f 9.164 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify 1 into 1 9.164 * [backup-simplify]: Simplify (/ 1 1) into 1 9.164 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.164 * [taylor]: Taking taylor expansion of n in f 9.164 * [backup-simplify]: Simplify n into n 9.164 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.164 * [backup-simplify]: Simplify (+ 1 0) into 1 9.165 * [backup-simplify]: Simplify (- 1) into -1 9.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.166 * [backup-simplify]: Simplify (* 1 1) into 1 9.166 * [backup-simplify]: Simplify (/ -1 1) into -1 9.166 * [taylor]: Taking taylor expansion of -1 in n 9.166 * [backup-simplify]: Simplify -1 into -1 9.166 * [backup-simplify]: Simplify -1 into -1 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.167 * [backup-simplify]: Simplify (- 0) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.168 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.168 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 9.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 9.169 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.169 * [taylor]: Taking taylor expansion of 2 in n 9.169 * [backup-simplify]: Simplify 2 into 2 9.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.169 * [taylor]: Taking taylor expansion of n in n 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify (/ 1 1) into 1 9.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.170 * [backup-simplify]: Simplify (- 0) into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.172 * [backup-simplify]: Simplify (- 0) into 0 9.172 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 9.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.173 * [backup-simplify]: Simplify (- 0) into 0 9.173 * [backup-simplify]: Simplify (+ 0 0) into 0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 9.174 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.174 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.174 * [taylor]: Taking taylor expansion of 2 in n 9.174 * [backup-simplify]: Simplify 2 into 2 9.174 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.174 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.174 * [taylor]: Taking taylor expansion of n in n 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.174 * [backup-simplify]: Simplify (* 1 1) into 1 9.175 * [backup-simplify]: Simplify (/ 1 1) into 1 9.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.178 * [backup-simplify]: Simplify (- 0) into 0 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.179 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.179 * [backup-simplify]: Simplify (- 0) into 0 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 9.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 9.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.181 * [backup-simplify]: Simplify (- 0) into 0 9.181 * [backup-simplify]: Simplify (+ 0 0) into 0 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.182 * [backup-simplify]: Simplify (- 0) into 0 9.182 * [backup-simplify]: Simplify (+ 0 0) into 0 9.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 9.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.184 * [taylor]: Taking taylor expansion of 2 in n 9.184 * [backup-simplify]: Simplify 2 into 2 9.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.184 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.184 * [taylor]: Taking taylor expansion of n in n 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.185 * [backup-simplify]: Simplify (* 1 1) into 1 9.185 * [backup-simplify]: Simplify (* 1 1) into 1 9.185 * [backup-simplify]: Simplify (/ 1 1) into 1 9.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (- 0) into 0 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify -1 into -1 9.191 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) 9.191 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 9.191 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 9.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 9.192 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.192 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.192 * [taylor]: Taking taylor expansion of n in n 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 1 into 1 9.192 * [backup-simplify]: Simplify (* 1 1) into 1 9.192 * [backup-simplify]: Simplify (/ 1 1) into 1 9.192 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 9.192 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.192 * [taylor]: Taking taylor expansion of f in n 9.192 * [backup-simplify]: Simplify f into f 9.192 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.192 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.192 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 9.192 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.192 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.192 * [taylor]: Taking taylor expansion of n in n 9.192 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify 1 into 1 9.193 * [backup-simplify]: Simplify (/ 1 1) into 1 9.193 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.193 * [taylor]: Taking taylor expansion of f in n 9.193 * [backup-simplify]: Simplify f into f 9.193 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.193 * [backup-simplify]: Simplify (+ 1 0) into 1 9.193 * [backup-simplify]: Simplify (+ 1 0) into 1 9.194 * [backup-simplify]: Simplify (* 1 1) into 1 9.194 * [backup-simplify]: Simplify (/ 1 1) into 1 9.194 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 9.194 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 9.194 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.194 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.194 * [taylor]: Taking taylor expansion of n in f 9.194 * [backup-simplify]: Simplify n into n 9.194 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.194 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.194 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.194 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.194 * [taylor]: Taking taylor expansion of f in f 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (* 1 1) into 1 9.195 * [backup-simplify]: Simplify (/ 1 1) into 1 9.195 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 9.195 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.195 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.195 * [taylor]: Taking taylor expansion of n in f 9.195 * [backup-simplify]: Simplify n into n 9.195 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.195 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.195 * [taylor]: Taking taylor expansion of f in f 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (/ 1 1) into 1 9.196 * [backup-simplify]: Simplify (- 1) into -1 9.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.196 * [backup-simplify]: Simplify (- 1) into -1 9.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.197 * [backup-simplify]: Simplify (* -1 -1) into 1 9.197 * [backup-simplify]: Simplify (/ -1 1) into -1 9.197 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 9.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.197 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.197 * [taylor]: Taking taylor expansion of n in f 9.197 * [backup-simplify]: Simplify n into n 9.197 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.197 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.197 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.197 * [taylor]: Taking taylor expansion of f in f 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.198 * [backup-simplify]: Simplify (* 1 1) into 1 9.198 * [backup-simplify]: Simplify (/ 1 1) into 1 9.198 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 9.198 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.198 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.198 * [taylor]: Taking taylor expansion of n in f 9.198 * [backup-simplify]: Simplify n into n 9.198 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.198 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.198 * [taylor]: Taking taylor expansion of f in f 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 1 into 1 9.199 * [backup-simplify]: Simplify (/ 1 1) into 1 9.199 * [backup-simplify]: Simplify (- 1) into -1 9.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.200 * [backup-simplify]: Simplify (- 1) into -1 9.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.201 * [backup-simplify]: Simplify (* -1 -1) into 1 9.201 * [backup-simplify]: Simplify (/ -1 1) into -1 9.201 * [taylor]: Taking taylor expansion of -1 in n 9.202 * [backup-simplify]: Simplify -1 into -1 9.202 * [backup-simplify]: Simplify -1 into -1 9.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.203 * [backup-simplify]: Simplify (- 0) into 0 9.204 * [backup-simplify]: Simplify (+ 0 0) into 0 9.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.205 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.205 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 9.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 9.206 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.206 * [taylor]: Taking taylor expansion of 2 in n 9.206 * [backup-simplify]: Simplify 2 into 2 9.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.206 * [taylor]: Taking taylor expansion of n in n 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [backup-simplify]: Simplify (/ 1 1) into 1 9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.208 * [backup-simplify]: Simplify (- 0) into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.211 * [backup-simplify]: Simplify (- 0) into 0 9.211 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 9.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.213 * [backup-simplify]: Simplify (- 0) into 0 9.213 * [backup-simplify]: Simplify (+ 0 0) into 0 9.215 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 9.216 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.216 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.216 * [taylor]: Taking taylor expansion of 2 in n 9.216 * [backup-simplify]: Simplify 2 into 2 9.216 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.216 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.216 * [taylor]: Taking taylor expansion of n in n 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.216 * [backup-simplify]: Simplify (* 1 1) into 1 9.217 * [backup-simplify]: Simplify (/ 1 1) into 1 9.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.222 * [backup-simplify]: Simplify (- 0) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.229 * [backup-simplify]: Simplify (- 0) into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 9.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (- 0) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (- 0) into 0 9.234 * [backup-simplify]: Simplify (+ 0 0) into 0 9.235 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 9.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 9.237 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.237 * [taylor]: Taking taylor expansion of 2 in n 9.237 * [backup-simplify]: Simplify 2 into 2 9.237 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.237 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.237 * [taylor]: Taking taylor expansion of n in n 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 1 into 1 9.238 * [backup-simplify]: Simplify (* 1 1) into 1 9.238 * [backup-simplify]: Simplify (* 1 1) into 1 9.238 * [backup-simplify]: Simplify (/ 1 1) into 1 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.249 * [backup-simplify]: Simplify (- 0) into 0 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify -1 into -1 9.249 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 9.249 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 9.249 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 9.249 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 9.249 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.249 * [taylor]: Taking taylor expansion of f in n 9.250 * [backup-simplify]: Simplify f into f 9.250 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.250 * [taylor]: Taking taylor expansion of n in n 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 9.250 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.250 * [taylor]: Taking taylor expansion of f in f 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.250 * [taylor]: Taking taylor expansion of n in f 9.250 * [backup-simplify]: Simplify n into n 9.250 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 9.250 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.250 * [taylor]: Taking taylor expansion of f in f 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.250 * [taylor]: Taking taylor expansion of n in f 9.250 * [backup-simplify]: Simplify n into n 9.250 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.250 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 9.251 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 9.251 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 9.251 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.251 * [taylor]: Taking taylor expansion of n in n 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.251 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 9.251 * [backup-simplify]: Simplify (- 0) into 0 9.252 * [backup-simplify]: Simplify (+ 0 0) into 0 9.252 * [taylor]: Taking taylor expansion of 0 in n 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify (* 1 1) into 1 9.253 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 9.253 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify (+ 1 0) into 1 9.254 * [taylor]: Taking taylor expansion of 1 in n 9.254 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify (* 1 1) into 1 9.255 * [backup-simplify]: Simplify (- 1) into -1 9.255 * [backup-simplify]: Simplify -1 into -1 9.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.257 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 9.257 * [backup-simplify]: Simplify (- 0) into 0 9.257 * [backup-simplify]: Simplify (+ 0 0) into 0 9.258 * [taylor]: Taking taylor expansion of 0 in n 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.259 * [backup-simplify]: Simplify (- 0) into 0 9.259 * [backup-simplify]: Simplify 0 into 0 9.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.261 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 9.261 * [backup-simplify]: Simplify (- 0) into 0 9.262 * [backup-simplify]: Simplify (+ 0 0) into 0 9.262 * [taylor]: Taking taylor expansion of 0 in n 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 9.263 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 9.263 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 9.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 9.263 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.263 * [taylor]: Taking taylor expansion of f in n 9.263 * [backup-simplify]: Simplify f into f 9.263 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.263 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.263 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.263 * [taylor]: Taking taylor expansion of n in n 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.264 * [backup-simplify]: Simplify (* 1 1) into 1 9.264 * [backup-simplify]: Simplify (/ 1 1) into 1 9.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 9.264 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.265 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.265 * [taylor]: Taking taylor expansion of f in f 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.265 * [backup-simplify]: Simplify (/ 1 1) into 1 9.265 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.265 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.266 * [taylor]: Taking taylor expansion of n in f 9.266 * [backup-simplify]: Simplify n into n 9.266 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.266 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 9.266 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.266 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.266 * [taylor]: Taking taylor expansion of f in f 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.266 * [backup-simplify]: Simplify (* 1 1) into 1 9.267 * [backup-simplify]: Simplify (/ 1 1) into 1 9.267 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.267 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.267 * [taylor]: Taking taylor expansion of n in f 9.267 * [backup-simplify]: Simplify n into n 9.267 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.267 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.268 * [backup-simplify]: Simplify (+ 1 0) into 1 9.268 * [taylor]: Taking taylor expansion of 1 in n 9.268 * [backup-simplify]: Simplify 1 into 1 9.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.269 * [backup-simplify]: Simplify (+ 0 0) into 0 9.269 * [taylor]: Taking taylor expansion of 0 in n 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.272 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 9.272 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 9.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 9.272 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.272 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.272 * [taylor]: Taking taylor expansion of n in n 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify (/ 1 1) into 1 9.273 * [backup-simplify]: Simplify (- 1) into -1 9.273 * [backup-simplify]: Simplify -1 into -1 9.273 * [backup-simplify]: Simplify 1 into 1 9.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 9.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 9.276 * [backup-simplify]: Simplify (- 0) into 0 9.276 * [backup-simplify]: Simplify (+ 0 0) into 0 9.276 * [taylor]: Taking taylor expansion of 0 in n 9.277 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.278 * [backup-simplify]: Simplify (- 0) into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.281 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 9.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 9.282 * [backup-simplify]: Simplify (- 0) into 0 9.282 * [backup-simplify]: Simplify (+ 0 0) into 0 9.282 * [taylor]: Taking taylor expansion of 0 in n 9.282 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.285 * [backup-simplify]: Simplify (- 0) into 0 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 9.286 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 9.286 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 9.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 9.286 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 9.286 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.286 * [taylor]: Taking taylor expansion of f in n 9.286 * [backup-simplify]: Simplify f into f 9.286 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.286 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.286 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.286 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.286 * [taylor]: Taking taylor expansion of n in n 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.287 * [backup-simplify]: Simplify (* 1 1) into 1 9.287 * [backup-simplify]: Simplify (/ 1 1) into 1 9.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 9.287 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.287 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.287 * [taylor]: Taking taylor expansion of f in f 9.287 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify 1 into 1 9.288 * [backup-simplify]: Simplify (* 1 1) into 1 9.288 * [backup-simplify]: Simplify (/ 1 1) into 1 9.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.288 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.288 * [taylor]: Taking taylor expansion of n in f 9.288 * [backup-simplify]: Simplify n into n 9.288 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.288 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 9.289 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.289 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.289 * [taylor]: Taking taylor expansion of f in f 9.289 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify 1 into 1 9.289 * [backup-simplify]: Simplify (* 1 1) into 1 9.289 * [backup-simplify]: Simplify (/ 1 1) into 1 9.289 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 9.289 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.289 * [taylor]: Taking taylor expansion of n in f 9.289 * [backup-simplify]: Simplify n into n 9.290 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.290 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.290 * [backup-simplify]: Simplify (+ 1 0) into 1 9.290 * [taylor]: Taking taylor expansion of 1 in n 9.290 * [backup-simplify]: Simplify 1 into 1 9.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.292 * [backup-simplify]: Simplify (+ 0 0) into 0 9.292 * [taylor]: Taking taylor expansion of 0 in n 9.292 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.294 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 9.294 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 9.294 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 9.294 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.294 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.294 * [taylor]: Taking taylor expansion of n in n 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify 1 into 1 9.295 * [backup-simplify]: Simplify (* 1 1) into 1 9.295 * [backup-simplify]: Simplify (/ 1 1) into 1 9.296 * [backup-simplify]: Simplify (- 1) into -1 9.296 * [backup-simplify]: Simplify -1 into -1 9.296 * [backup-simplify]: Simplify 1 into 1 9.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.298 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 9.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 9.299 * [backup-simplify]: Simplify (- 0) into 0 9.299 * [backup-simplify]: Simplify (+ 0 0) into 0 9.299 * [taylor]: Taking taylor expansion of 0 in n 9.299 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.301 * [backup-simplify]: Simplify (- 0) into 0 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.304 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 9.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 9.305 * [backup-simplify]: Simplify (- 0) into 0 9.305 * [backup-simplify]: Simplify (+ 0 0) into 0 9.305 * [taylor]: Taking taylor expansion of 0 in n 9.305 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.308 * [backup-simplify]: Simplify (- 0) into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 9.308 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 9.308 * [backup-simplify]: Simplify (* (- f n) (- f n)) into (pow (- f n) 2) 9.308 * [approximate]: Taking taylor expansion of (pow (- f n) 2) in (f n) around 0 9.309 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 9.309 * [taylor]: Taking taylor expansion of (- f n) in n 9.309 * [taylor]: Taking taylor expansion of f in n 9.309 * [backup-simplify]: Simplify f into f 9.309 * [taylor]: Taking taylor expansion of n in n 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [backup-simplify]: Simplify (- 0) into 0 9.309 * [backup-simplify]: Simplify (+ f 0) into f 9.309 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 9.309 * [taylor]: Taking taylor expansion of (- f n) in f 9.309 * [taylor]: Taking taylor expansion of f in f 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [taylor]: Taking taylor expansion of n in f 9.309 * [backup-simplify]: Simplify n into n 9.309 * [backup-simplify]: Simplify (- n) into (- n) 9.309 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.309 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 9.309 * [taylor]: Taking taylor expansion of (- f n) in f 9.310 * [taylor]: Taking taylor expansion of f in f 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [taylor]: Taking taylor expansion of n in f 9.310 * [backup-simplify]: Simplify n into n 9.310 * [backup-simplify]: Simplify (- n) into (- n) 9.310 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.310 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 9.310 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.310 * [taylor]: Taking taylor expansion of n in n 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (- 0) into 0 9.311 * [backup-simplify]: Simplify (+ 1 0) into 1 9.311 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 9.311 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 9.311 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.311 * [taylor]: Taking taylor expansion of 2 in n 9.311 * [backup-simplify]: Simplify 2 into 2 9.311 * [taylor]: Taking taylor expansion of n in n 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (* 2 0) into 0 9.312 * [backup-simplify]: Simplify (- 0) into 0 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify (- 0) into 0 9.313 * [backup-simplify]: Simplify (+ 0 0) into 0 9.313 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 9.313 * [taylor]: Taking taylor expansion of 1 in n 9.313 * [backup-simplify]: Simplify 1 into 1 9.313 * [backup-simplify]: Simplify 1 into 1 9.314 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.315 * [backup-simplify]: Simplify (- 2) into -2 9.315 * [backup-simplify]: Simplify -2 into -2 9.315 * [backup-simplify]: Simplify (* 1 1) into 1 9.315 * [backup-simplify]: Simplify 1 into 1 9.316 * [backup-simplify]: Simplify (+ (* 1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* 1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 9.316 * [backup-simplify]: Simplify (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (pow (- (/ 1 f) (/ 1 n)) 2) 9.316 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in (f n) around 0 9.316 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 9.316 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.316 * [taylor]: Taking taylor expansion of f in n 9.316 * [backup-simplify]: Simplify f into f 9.316 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.316 * [taylor]: Taking taylor expansion of n in n 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 1 into 1 9.317 * [backup-simplify]: Simplify (/ 1 1) into 1 9.317 * [backup-simplify]: Simplify (- 1) into -1 9.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.317 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 9.317 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.318 * [taylor]: Taking taylor expansion of f in f 9.318 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (/ 1 1) into 1 9.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.318 * [taylor]: Taking taylor expansion of n in f 9.318 * [backup-simplify]: Simplify n into n 9.318 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.319 * [backup-simplify]: Simplify (+ 1 0) into 1 9.319 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 9.319 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.319 * [taylor]: Taking taylor expansion of f in f 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify 1 into 1 9.319 * [backup-simplify]: Simplify (/ 1 1) into 1 9.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.319 * [taylor]: Taking taylor expansion of n in f 9.319 * [backup-simplify]: Simplify n into n 9.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.320 * [backup-simplify]: Simplify (+ 1 0) into 1 9.320 * [backup-simplify]: Simplify (* 1 1) into 1 9.320 * [taylor]: Taking taylor expansion of 1 in n 9.320 * [backup-simplify]: Simplify 1 into 1 9.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.321 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.321 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.321 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 9.321 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.322 * [taylor]: Taking taylor expansion of 2 in n 9.322 * [backup-simplify]: Simplify 2 into 2 9.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.322 * [taylor]: Taking taylor expansion of n in n 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify 1 into 1 9.322 * [backup-simplify]: Simplify (/ 1 1) into 1 9.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.323 * [backup-simplify]: Simplify (- 0) into 0 9.324 * [backup-simplify]: Simplify (+ 0 0) into 0 9.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 9.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.325 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.325 * [taylor]: Taking taylor expansion of n in n 9.325 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify 1 into 1 9.325 * [backup-simplify]: Simplify (* 1 1) into 1 9.326 * [backup-simplify]: Simplify (/ 1 1) into 1 9.326 * [backup-simplify]: Simplify 1 into 1 9.326 * [backup-simplify]: Simplify (* 2 1) into 2 9.327 * [backup-simplify]: Simplify (- 2) into -2 9.327 * [backup-simplify]: Simplify -2 into -2 9.327 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (+ (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f)))) (* 1 (pow (* (/ 1 (/ 1 n)) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 9.328 * [backup-simplify]: Simplify (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (pow (- (/ 1 n) (/ 1 f)) 2) 9.328 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in (f n) around 0 9.328 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 9.328 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.328 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.328 * [taylor]: Taking taylor expansion of n in n 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (/ 1 1) into 1 9.328 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.328 * [taylor]: Taking taylor expansion of f in n 9.329 * [backup-simplify]: Simplify f into f 9.329 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.329 * [backup-simplify]: Simplify (+ 1 0) into 1 9.329 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 9.329 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.329 * [taylor]: Taking taylor expansion of n in f 9.329 * [backup-simplify]: Simplify n into n 9.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.329 * [taylor]: Taking taylor expansion of f in f 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 1 into 1 9.330 * [backup-simplify]: Simplify (/ 1 1) into 1 9.330 * [backup-simplify]: Simplify (- 1) into -1 9.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.331 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 9.331 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.331 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.331 * [taylor]: Taking taylor expansion of n in f 9.331 * [backup-simplify]: Simplify n into n 9.331 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.331 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.331 * [taylor]: Taking taylor expansion of f in f 9.331 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify 1 into 1 9.331 * [backup-simplify]: Simplify (/ 1 1) into 1 9.332 * [backup-simplify]: Simplify (- 1) into -1 9.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.332 * [backup-simplify]: Simplify (* -1 -1) into 1 9.333 * [taylor]: Taking taylor expansion of 1 in n 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.334 * [backup-simplify]: Simplify (- 0) into 0 9.334 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.334 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 9.334 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.334 * [taylor]: Taking taylor expansion of 2 in n 9.334 * [backup-simplify]: Simplify 2 into 2 9.334 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.334 * [taylor]: Taking taylor expansion of n in n 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ 1 1) into 1 9.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.336 * [backup-simplify]: Simplify (- 0) into 0 9.337 * [backup-simplify]: Simplify (+ 0 0) into 0 9.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 9.338 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.338 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.338 * [taylor]: Taking taylor expansion of n in n 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (* 1 1) into 1 9.339 * [backup-simplify]: Simplify (/ 1 1) into 1 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [backup-simplify]: Simplify (* 2 1) into 2 9.340 * [backup-simplify]: Simplify (- 2) into -2 9.340 * [backup-simplify]: Simplify -2 into -2 9.340 * [backup-simplify]: Simplify 1 into 1 9.341 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f))))) (* 1 (pow (* (/ 1 (/ 1 (- n))) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 9.341 * * * [progress]: simplifying candidates 9.344 * [simplify]: Simplifying: (- (log (- (- (* f f) (* n n)))) (+ (log (- f n)) (log (- f n)))) (- (log (- (- (* f f) (* n n)))) (log (* (- f n) (- f n)))) (log (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (exp (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n)))) (* (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (* (* (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (- (- (* f f) (* n n)))) (- (* (- f n) (- f n))) (/ 0 (* (- f n) (- f n))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ -1 (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- 1) (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- f n)) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (- f n)) (/ (- (cbrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ (+ f n) (- f n)) (/ (- (- f n)) (- f n)) (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (- f n)) (/ (* (- f n) (- f n)) (cbrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (sqrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (cbrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (sqrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (- f n)) (/ (* (- f n) (- f n)) (- (cbrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (sqrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (- f n))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- f n))) (* (* (- f n) (- f n)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (+ 1 1) (* (- f n) (- f n)) (+ 1 1) (+ (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))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3))) (* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n)))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n))) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (- (* f f) (* n n)) (- (* f f) (* n n))) (* (+ f n) (+ f n)) (* (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (+ (sqrt f) (sqrt n)) (+ (sqrt f) (sqrt n))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 2 1) (* (- f n) f) (* (- f n) (- n)) (* (- f n) f) (* (- f n) (- n)) (* f (- f n)) (* (- n) (- f n)) (* f (- f n)) (* (- 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) (* (cbrt (- f n)) (- f n)) (* (sqrt (- f n)) (- f n)) (* (- f n) (- f n)) (* (- (sqrt f) (sqrt n)) (- f n)) (* (- f n) (- f n)) (* (- f n) (- (pow f 3) (pow n 3))) (* (- f n) (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n)) (* (- (* f f) (* n n)) (- f n)) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 9.348 * * [simplify]: iteration 0: 163 enodes 9.399 * * [simplify]: iteration 1: 493 enodes 9.586 * * [simplify]: iteration 2: 1490 enodes 10.321 * * [simplify]: iteration complete: 5002 enodes 10.321 * * [simplify]: Extracting #0: cost 83 inf + 0 10.332 * * [simplify]: Extracting #1: cost 780 inf + 4 10.344 * * [simplify]: Extracting #2: cost 1773 inf + 13805 10.400 * * [simplify]: Extracting #3: cost 1018 inf + 198224 10.494 * * [simplify]: Extracting #4: cost 154 inf + 398232 10.610 * * [simplify]: Extracting #5: cost 69 inf + 412548 10.734 * * [simplify]: Extracting #6: cost 13 inf + 418629 10.842 * * [simplify]: Extracting #7: cost 0 inf + 422277 10.951 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- 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))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (* (- f n) (+ n f)) (- (* (- f n) (- f n))) 0 (/ (+ n f) (- f n)) (/ (* (cbrt (* (+ n f) (- (- f n)))) (cbrt (* (+ n f) (- (- f n))))) (- f n)) (/ (cbrt (* (+ n f) (- (- f n)))) (- f n)) (/ (sqrt (* (+ n f) (- (- f n)))) (- f n)) (/ (sqrt (* (+ n f) (- (- f n)))) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ -1 (- f n)) (+ n f) (/ (* (- (cbrt (* (- f n) (+ n f)))) (cbrt (* (- f n) (+ n f)))) (- f n)) (/ (cbrt (* (- f n) (+ n f))) (- f n)) (/ (- (sqrt (* (- f n) (+ n f)))) (- f n)) (/ (sqrt (* (- f n) (+ n f))) (- f n)) (/ -1 (- f n)) (+ n f) (/ (- (+ n f)) (- f n)) 1 (/ (cbrt (* (- f n) (+ n f))) (/ (- f n) (cbrt (* (- f n) (+ n f))))) (- (/ (cbrt (* (- f n) (+ n f))) (- f n))) (/ (sqrt (* (- f n) (+ n f))) (- f n)) (/ (- (sqrt (* (- f n) (+ n f)))) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (+ n f) (- f n)) -1 (/ 1 (* (- f n) (- f n))) (/ (- f n) (- (+ f n))) (/ (+ n f) (- f n)) (- (+ f n)) (/ (* (- f n) (- f n)) (cbrt (* (+ n f) (- (- f n))))) (/ (* (- f n) (- f n)) (sqrt (* (+ n f) (- (- f n))))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ n f)) (/ (* (- f n) (- f n)) (cbrt (* (- f n) (+ n f)))) (/ (* (- f n) (- f n)) (sqrt (* (- f n) (+ n f)))) (/ (- f n) (+ n f)) (- f n) (/ (* (- f n) (- f n)) (- (cbrt (* (- f n) (+ n f))))) (/ (* (- f n) (- f n)) (- (sqrt (* (- f n) (+ n f))))) (/ (- f n) (- (+ f n))) (/ (- f n) -1) (/ (- (- (/ (* f f) (- (* f (* f f)) (* n (* n n)))) (/ (* n n) (- (* f (* f f)) (* n (* n n)))))) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (* (- f n) (+ n f)))) (/ (- (+ f n)) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (/ (- (+ f n)) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (* (* (- f n) (- f n)) (+ (* (* n n) (+ (* n n) (* f f))) (* (* f f) (* f f)))) (+ (* (* (- f n) n) (* (- f n) n)) (* (* (- f n) f) (* (- f n) f))) (exp (* (- f n) (+ n f))) (log (* (- f n) (+ n f))) (exp (* (- f n) (+ n f))) (* (cbrt (* (- f n) (+ n f))) (cbrt (* (- f n) (+ n f)))) (cbrt (* (- f n) (+ n f))) (* (* (* (- f n) (+ n f)) (* (- f n) (+ n f))) (* (- f n) (+ n f))) (sqrt (* (- f n) (+ n f))) (sqrt (* (- f n) (+ n f))) (- (* (* f f) (* (* f f) (* f f))) (* (* (* n n) (* n n)) (* n n))) (+ (* (* n n) (+ (* n n) (* f f))) (* (* f f) (* f f))) (* (- n) n) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* n n) (* f f)) (+ n f) (- f n) (* (- n) n) 2 (* (- f n) (- f n)) 2 (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)))) (fabs (- f n)) (fabs (- f n)) (* (- (* f (* f f)) (* n (* n n))) (- (* f (* f f)) (* n (* n n)))) (* (+ (* n (+ n f)) (* f f)) (+ (* n (+ n f)) (* f f))) (* (- (* f (* f f)) (* n (* n n))) (* (- f n) (+ n f))) (* (+ n f) (+ (* n (+ n f)) (* f f))) (* (- (* f (* f f)) (* n (* n n))) (* (- f n) (+ n f))) (* (+ n f) (+ (* n (+ n f)) (* f f))) (* (* (- f n) (+ n f)) (* (- f n) (+ n f))) (* (+ n f) (+ n f)) (* (- f n) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n))) (- f n) (- f n) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (* (+ (sqrt n) (sqrt f)) (+ (sqrt n) (sqrt f))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (- f n) (- f n) 2 (* f (- f n)) (* (- f n) (- n)) (* f (- f n)) (* (- f n) (- n)) (* f (- f n)) (* (- f n) (- n)) (* f (- f n)) (* (- f n) (- n)) (* (* (cbrt (- f n)) (cbrt (- f n))) (- 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) (- (sqrt f) (sqrt n))) (* (- f n) (- f n)) (* (- (* f (* f f)) (* n (* n n))) (- f n)) (* (- f n) (* (- f n) (+ n f))) (* (- (* f (* f f)) (* n (* n n))) (- f n)) (* (- f n) (* (- f n) (+ n f))) 1 -1 -1 (* (- f n) (+ n f)) (* (- f n) (+ n f)) (* (- f n) (+ n f)) (+ (- (* n n) (+ (* f n) (* f n))) (* f f)) (+ (- (* n n) (+ (* f n) (* f n))) (* f f)) (+ (- (* n n) (+ (* f n) (* f n))) (* f f)) 10.958 * * * [progress]: adding candidates to table 11.453 * [progress]: [Phase 3 of 3] Extracting. 11.453 * * [regime]: Finding splitpoints for: (# #) 11.454 * * * [regime-changes]: Trying 2 branch expressions: (n f) 11.454 * * * * [regimes]: Trying to branch on n from (# #) 11.490 * * * * [regimes]: Trying to branch on f from (# #) 11.532 * * * [regime]: Found split indices: #