1.380 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.124 * * * [progress]: [2/2] Setting up program. 0.132 * [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: 26 enodes 0.162 * * [simplify]: iteration 5: 30 enodes 0.169 * * [simplify]: iteration 6: 32 enodes 0.175 * * [simplify]: iteration complete: 32 enodes 0.175 * * [simplify]: Extracting #0: cost 1 inf + 0 0.176 * * [simplify]: Extracting #1: cost 9 inf + 0 0.176 * * [simplify]: Extracting #2: cost 14 inf + 0 0.176 * * [simplify]: Extracting #3: cost 11 inf + 43 0.177 * * [simplify]: Extracting #4: cost 2 inf + 860 0.177 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.178 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.181 * * [progress]: iteration 1 / 4 0.181 * * * [progress]: picking best candidate 0.188 * * * * [pick]: Picked # 0.188 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.269 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.269 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.269 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.269 * [taylor]: Taking taylor expansion of -1 in n 0.269 * [backup-simplify]: Simplify -1 into -1 0.270 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.270 * [taylor]: Taking taylor expansion of (+ n f) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of f in n 0.270 * [backup-simplify]: Simplify f into f 0.270 * [taylor]: Taking taylor expansion of (- f n) in n 0.270 * [taylor]: Taking taylor expansion of f in n 0.270 * [backup-simplify]: Simplify f into f 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ 0 f) into f 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ f 0) into f 0.271 * [backup-simplify]: Simplify (/ f f) into 1 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.271 * [taylor]: Taking taylor expansion of -1 in f 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.271 * [taylor]: Taking taylor expansion of (+ n f) in f 0.271 * [taylor]: Taking taylor expansion of n in f 0.271 * [backup-simplify]: Simplify n into n 0.271 * [taylor]: Taking taylor expansion of f in f 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of (- f n) in f 0.271 * [taylor]: Taking taylor expansion of f in f 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of n in f 0.271 * [backup-simplify]: Simplify n into n 0.271 * [backup-simplify]: Simplify (+ n 0) into n 0.271 * [backup-simplify]: Simplify (- n) into (- n) 0.271 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.271 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.271 * [taylor]: Taking taylor expansion of -1 in f 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.271 * [taylor]: Taking taylor expansion of (+ n f) in f 0.271 * [taylor]: Taking taylor expansion of n in f 0.271 * [backup-simplify]: Simplify n into n 0.271 * [taylor]: Taking taylor expansion of f in f 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of (- f n) in f 0.271 * [taylor]: Taking taylor expansion of f in f 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of n in f 0.271 * [backup-simplify]: Simplify n into n 0.271 * [backup-simplify]: Simplify (+ n 0) into n 0.272 * [backup-simplify]: Simplify (- n) into (- n) 0.272 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.272 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.272 * [backup-simplify]: Simplify (* -1 -1) into 1 0.273 * [taylor]: Taking taylor expansion of 1 in n 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (+ 0 1) into 1 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.274 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.275 * [taylor]: Taking taylor expansion of 2 in n 0.275 * [backup-simplify]: Simplify 2 into 2 0.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.278 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.278 * [taylor]: Taking taylor expansion of 2 in n 0.278 * [backup-simplify]: Simplify 2 into 2 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.278 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [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)))) 0.285 * [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))) 0.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.285 * [taylor]: Taking taylor expansion of 2 in n 0.285 * [backup-simplify]: Simplify 2 into 2 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.285 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.285 * [taylor]: Taking taylor expansion of n in n 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.292 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.292 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.292 * [taylor]: Taking taylor expansion of -1 in n 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.292 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.292 * [taylor]: Taking taylor expansion of f in n 0.292 * [backup-simplify]: Simplify f into f 0.292 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.292 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.293 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.293 * [taylor]: Taking taylor expansion of f in n 0.293 * [backup-simplify]: Simplify f into f 0.293 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.293 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.294 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.294 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.294 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.294 * [taylor]: Taking taylor expansion of -1 in f 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.294 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.294 * [taylor]: Taking taylor expansion of f in f 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.295 * [taylor]: Taking taylor expansion of n in f 0.295 * [backup-simplify]: Simplify n into n 0.295 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.295 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.295 * [taylor]: Taking taylor expansion of f in f 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.295 * [taylor]: Taking taylor expansion of n in f 0.295 * [backup-simplify]: Simplify n into n 0.295 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 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 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.296 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.296 * [taylor]: Taking taylor expansion of n in f 0.296 * [backup-simplify]: Simplify n into n 0.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.296 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.296 * [taylor]: Taking taylor expansion of (/ 1 f) 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 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.297 * [taylor]: Taking taylor expansion of n in f 0.297 * [backup-simplify]: Simplify n into n 0.297 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (* -1 1) into -1 0.298 * [taylor]: Taking taylor expansion of -1 in n 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [backup-simplify]: Simplify -1 into -1 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.299 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.299 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.300 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.300 * [taylor]: Taking taylor expansion of 2 in n 0.300 * [backup-simplify]: Simplify 2 into 2 0.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.305 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.305 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.305 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.305 * [taylor]: Taking taylor expansion of 2 in n 0.305 * [backup-simplify]: Simplify 2 into 2 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.305 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [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))) 0.314 * [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)))) 0.314 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.314 * [taylor]: Taking taylor expansion of 2 in n 0.314 * [backup-simplify]: Simplify 2 into 2 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.314 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify -1 into -1 0.327 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.327 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.327 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.327 * [taylor]: Taking taylor expansion of f in n 0.327 * [backup-simplify]: Simplify f into f 0.327 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.328 * [taylor]: Taking taylor expansion of f in n 0.328 * [backup-simplify]: Simplify f into f 0.328 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.328 * [backup-simplify]: Simplify (+ 1 0) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.329 * [taylor]: Taking taylor expansion of n in f 0.329 * [backup-simplify]: Simplify n into n 0.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.329 * [taylor]: Taking taylor expansion of n in f 0.329 * [backup-simplify]: Simplify n into n 0.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [backup-simplify]: Simplify (- 1) into -1 0.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.331 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.331 * [taylor]: Taking taylor expansion of f in f 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.331 * [taylor]: Taking taylor expansion of n in f 0.331 * [backup-simplify]: Simplify n into n 0.331 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.331 * [taylor]: Taking taylor expansion of n in f 0.331 * [backup-simplify]: Simplify n into n 0.331 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.331 * [taylor]: Taking taylor expansion of f in f 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.333 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.333 * [taylor]: Taking taylor expansion of -1 in n 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.334 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.334 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.334 * [taylor]: Taking taylor expansion of 2 in n 0.334 * [backup-simplify]: Simplify 2 into 2 0.334 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.338 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.338 * [taylor]: Taking taylor expansion of 2 in n 0.338 * [backup-simplify]: Simplify 2 into 2 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.338 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [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)))) 0.346 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.346 * [taylor]: Taking taylor expansion of 2 in n 0.346 * [backup-simplify]: Simplify 2 into 2 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.346 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify -1 into -1 0.353 * * * [progress]: simplifying candidates 0.355 * [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 0.357 * * [simplify]: iteration 0: 133 enodes 0.401 * * [simplify]: iteration 1: 311 enodes 0.509 * * [simplify]: iteration 2: 1064 enodes 0.947 * * [simplify]: iteration complete: 5002 enodes 0.947 * * [simplify]: Extracting #0: cost 86 inf + 0 0.949 * * [simplify]: Extracting #1: cost 588 inf + 3 0.955 * * [simplify]: Extracting #2: cost 1389 inf + 129 0.967 * * [simplify]: Extracting #3: cost 1982 inf + 10600 1.016 * * [simplify]: Extracting #4: cost 1214 inf + 164085 1.121 * * [simplify]: Extracting #5: cost 84 inf + 395506 1.219 * * [simplify]: Extracting #6: cost 27 inf + 408638 1.323 * * [simplify]: Extracting #7: cost 3 inf + 412977 1.418 * * [simplify]: Extracting #8: cost 0 inf + 413736 1.502 * [simplify]: Simplified to: (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n)))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (cbrt (- (/ (+ f n) (- f n)))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (+ f n) (+ (- f) n) 0 (/ (+ f n) (- f n)) (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (* (/ (cbrt (- (+ f n))) (+ (sqrt n) (sqrt f))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (* (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (cbrt (+ f n))) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (- (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (- (/ (+ f n) (+ (sqrt n) (sqrt f)))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (- (/ (+ f n) (- (* f (* f f)) (* n (* n n))))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 1.507 * * * [progress]: adding candidates to table 1.885 * * [progress]: iteration 2 / 4 1.885 * * * [progress]: picking best candidate 1.906 * * * * [pick]: Picked # 1.906 * * * [progress]: localizing error 1.933 * * * [progress]: generating rewritten candidates 1.934 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.956 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.970 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.987 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.053 * * * [progress]: generating series expansions 2.053 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.053 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) 2.053 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0 2.053 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n 2.053 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 2.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 2.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 2.053 * [taylor]: Taking taylor expansion of 1/3 in n 2.053 * [backup-simplify]: Simplify 1/3 into 1/3 2.053 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 2.053 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.053 * [taylor]: Taking taylor expansion of (+ n f) in n 2.053 * [taylor]: Taking taylor expansion of n in n 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of f in n 2.053 * [backup-simplify]: Simplify f into f 2.053 * [taylor]: Taking taylor expansion of (- f n) in n 2.053 * [taylor]: Taking taylor expansion of f in n 2.053 * [backup-simplify]: Simplify f into f 2.053 * [taylor]: Taking taylor expansion of n in n 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (+ 0 f) into f 2.054 * [backup-simplify]: Simplify (- 0) into 0 2.054 * [backup-simplify]: Simplify (+ f 0) into f 2.054 * [backup-simplify]: Simplify (/ f f) into 1 2.054 * [backup-simplify]: Simplify (log 1) into 0 2.055 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.055 * [backup-simplify]: Simplify (+ 1 0) into 1 2.055 * [backup-simplify]: Simplify (- 1) into -1 2.056 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.056 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 2.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 2.057 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 2.057 * [backup-simplify]: Simplify (exp 0) into 1 2.057 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.057 * [taylor]: Taking taylor expansion of -1 in n 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.058 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.058 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 2.058 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.058 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.058 * [taylor]: Taking taylor expansion of 1/3 in f 2.058 * [backup-simplify]: Simplify 1/3 into 1/3 2.058 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.058 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.058 * [taylor]: Taking taylor expansion of (+ n f) in f 2.058 * [taylor]: Taking taylor expansion of n in f 2.058 * [backup-simplify]: Simplify n into n 2.058 * [taylor]: Taking taylor expansion of f in f 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of (- f n) in f 2.058 * [taylor]: Taking taylor expansion of f in f 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of n in f 2.058 * [backup-simplify]: Simplify n into n 2.058 * [backup-simplify]: Simplify (+ n 0) into n 2.058 * [backup-simplify]: Simplify (- n) into (- n) 2.058 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.058 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.058 * [backup-simplify]: Simplify (log -1) into (log -1) 2.059 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.060 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.060 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.060 * [taylor]: Taking taylor expansion of -1 in f 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.061 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.061 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 2.061 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.061 * [taylor]: Taking taylor expansion of 1/3 in f 2.061 * [backup-simplify]: Simplify 1/3 into 1/3 2.061 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.061 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.061 * [taylor]: Taking taylor expansion of (+ n f) in f 2.061 * [taylor]: Taking taylor expansion of n in f 2.061 * [backup-simplify]: Simplify n into n 2.061 * [taylor]: Taking taylor expansion of f in f 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of (- f n) in f 2.061 * [taylor]: Taking taylor expansion of f in f 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of n in f 2.061 * [backup-simplify]: Simplify n into n 2.061 * [backup-simplify]: Simplify (+ n 0) into n 2.061 * [backup-simplify]: Simplify (- n) into (- n) 2.061 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.061 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.061 * [backup-simplify]: Simplify (log -1) into (log -1) 2.062 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.063 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.063 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.063 * [taylor]: Taking taylor expansion of -1 in f 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.063 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.065 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 2.065 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n 2.065 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.065 * [taylor]: Taking taylor expansion of -1 in n 2.065 * [backup-simplify]: Simplify -1 into -1 2.065 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.065 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.065 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.065 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.065 * [taylor]: Taking taylor expansion of 1/3 in n 2.065 * [backup-simplify]: Simplify 1/3 into 1/3 2.065 * [taylor]: Taking taylor expansion of (log -1) in n 2.065 * [taylor]: Taking taylor expansion of -1 in n 2.065 * [backup-simplify]: Simplify -1 into -1 2.066 * [backup-simplify]: Simplify (log -1) into (log -1) 2.066 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.067 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.068 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.069 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.070 * [backup-simplify]: Simplify (+ 0 1) into 1 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ 1 0) into 1 2.070 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 2.071 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 2.072 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 2.074 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) (cbrt -1))) into (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) 2.074 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n 2.074 * [taylor]: Taking taylor expansion of 2/3 in n 2.074 * [backup-simplify]: Simplify 2/3 into 2/3 2.074 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n 2.074 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.074 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.074 * [taylor]: Taking taylor expansion of -1 in n 2.074 * [backup-simplify]: Simplify -1 into -1 2.074 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.074 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.074 * [taylor]: Taking taylor expansion of n in n 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.075 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.075 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.075 * [taylor]: Taking taylor expansion of 1/3 in n 2.075 * [backup-simplify]: Simplify 1/3 into 1/3 2.075 * [taylor]: Taking taylor expansion of (log -1) in n 2.075 * [taylor]: Taking taylor expansion of -1 in n 2.075 * [backup-simplify]: Simplify -1 into -1 2.075 * [backup-simplify]: Simplify (log -1) into (log -1) 2.076 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.077 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.079 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.081 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.082 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (- 0) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 2.095 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 2.098 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) (cbrt -1)))) into (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) 2.098 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n 2.098 * [taylor]: Taking taylor expansion of 2/9 in n 2.098 * [backup-simplify]: Simplify 2/9 into 2/9 2.098 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n 2.098 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.098 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.098 * [taylor]: Taking taylor expansion of -1 in n 2.098 * [backup-simplify]: Simplify -1 into -1 2.099 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.099 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.099 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.099 * [taylor]: Taking taylor expansion of n in n 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.101 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.101 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.101 * [taylor]: Taking taylor expansion of 1/3 in n 2.101 * [backup-simplify]: Simplify 1/3 into 1/3 2.101 * [taylor]: Taking taylor expansion of (log -1) in n 2.101 * [taylor]: Taking taylor expansion of -1 in n 2.101 * [backup-simplify]: Simplify -1 into -1 2.101 * [backup-simplify]: Simplify (log -1) into (log -1) 2.102 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.104 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.113 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.120 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.121 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.122 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.125 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.138 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (- 0) into 0 2.140 * [backup-simplify]: Simplify (+ 0 0) into 0 2.140 * [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)))) 2.142 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 2.143 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 2.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 2.146 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (+ (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 0) (* (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) (cbrt -1))))) into (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) 2.146 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n 2.146 * [taylor]: Taking taylor expansion of 22/81 in n 2.147 * [backup-simplify]: Simplify 22/81 into 22/81 2.147 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n 2.147 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.147 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.147 * [taylor]: Taking taylor expansion of -1 in n 2.147 * [backup-simplify]: Simplify -1 into -1 2.147 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.147 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.147 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.147 * [taylor]: Taking taylor expansion of n in n 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (* 1 1) into 1 2.148 * [backup-simplify]: Simplify (* 1 1) into 1 2.149 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.149 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.149 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.149 * [taylor]: Taking taylor expansion of 1/3 in n 2.149 * [backup-simplify]: Simplify 1/3 into 1/3 2.149 * [taylor]: Taking taylor expansion of (log -1) in n 2.149 * [taylor]: Taking taylor expansion of -1 in n 2.149 * [backup-simplify]: Simplify -1 into -1 2.149 * [backup-simplify]: Simplify (log -1) into (log -1) 2.150 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.152 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.162 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 2.164 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 2.175 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.176 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.178 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.179 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) 2.179 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0 2.179 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n 2.179 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 2.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.179 * [taylor]: Taking taylor expansion of 1/3 in n 2.179 * [backup-simplify]: Simplify 1/3 into 1/3 2.179 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.179 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.179 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.179 * [taylor]: Taking taylor expansion of f in n 2.179 * [backup-simplify]: Simplify f into f 2.179 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.179 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.179 * [taylor]: Taking taylor expansion of n in n 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (/ 1 1) into 1 2.179 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.179 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.179 * [taylor]: Taking taylor expansion of f in n 2.179 * [backup-simplify]: Simplify f into f 2.179 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.179 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.180 * [taylor]: Taking taylor expansion of n in n 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [backup-simplify]: Simplify (+ 0 1) into 1 2.180 * [backup-simplify]: Simplify (- 1) into -1 2.181 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.181 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.181 * [backup-simplify]: Simplify (log -1) into (log -1) 2.182 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.182 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.183 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.183 * [taylor]: Taking taylor expansion of -1 in n 2.183 * [backup-simplify]: Simplify -1 into -1 2.183 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.183 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.183 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 2.183 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.183 * [taylor]: Taking taylor expansion of 1/3 in f 2.183 * [backup-simplify]: Simplify 1/3 into 1/3 2.183 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.183 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.183 * [taylor]: Taking taylor expansion of f in f 2.183 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.184 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.184 * [taylor]: Taking taylor expansion of n in f 2.184 * [backup-simplify]: Simplify n into n 2.184 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.184 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.184 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.184 * [taylor]: Taking taylor expansion of f in f 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.184 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.184 * [taylor]: Taking taylor expansion of n in f 2.184 * [backup-simplify]: Simplify n into n 2.184 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.185 * [backup-simplify]: Simplify (+ 1 0) into 1 2.185 * [backup-simplify]: Simplify (+ 1 0) into 1 2.185 * [backup-simplify]: Simplify (/ 1 1) into 1 2.185 * [backup-simplify]: Simplify (log 1) into 0 2.186 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.187 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.187 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 2.187 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 2.187 * [backup-simplify]: Simplify (exp 0) into 1 2.187 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.188 * [taylor]: Taking taylor expansion of -1 in f 2.188 * [backup-simplify]: Simplify -1 into -1 2.188 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.188 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.188 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 2.188 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.188 * [taylor]: Taking taylor expansion of 1/3 in f 2.188 * [backup-simplify]: Simplify 1/3 into 1/3 2.188 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.188 * [taylor]: Taking taylor expansion of f in f 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.189 * [taylor]: Taking taylor expansion of n in f 2.189 * [backup-simplify]: Simplify n into n 2.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.189 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.189 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.189 * [taylor]: Taking taylor expansion of f in f 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.189 * [taylor]: Taking taylor expansion of n in f 2.189 * [backup-simplify]: Simplify n into n 2.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.189 * [backup-simplify]: Simplify (+ 1 0) into 1 2.190 * [backup-simplify]: Simplify (+ 1 0) into 1 2.190 * [backup-simplify]: Simplify (/ 1 1) into 1 2.190 * [backup-simplify]: Simplify (log 1) into 0 2.190 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.192 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.192 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 2.192 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 2.192 * [backup-simplify]: Simplify (exp 0) into 1 2.193 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.193 * [taylor]: Taking taylor expansion of -1 in f 2.193 * [backup-simplify]: Simplify -1 into -1 2.193 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.194 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.195 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.195 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.195 * [taylor]: Taking taylor expansion of -1 in n 2.195 * [backup-simplify]: Simplify -1 into -1 2.195 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.196 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.197 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.197 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 2.198 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n)) 2.198 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 2.198 * [taylor]: Taking taylor expansion of 2/3 in n 2.198 * [backup-simplify]: Simplify 2/3 into 2/3 2.198 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.198 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.198 * [taylor]: Taking taylor expansion of -1 in n 2.198 * [backup-simplify]: Simplify -1 into -1 2.199 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.199 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.199 * [taylor]: Taking taylor expansion of n in n 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.207 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 2.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 2.211 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 2.212 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 2.212 * [taylor]: Taking taylor expansion of 2/9 in n 2.212 * [backup-simplify]: Simplify 2/9 into 2/9 2.212 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.212 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.212 * [taylor]: Taking taylor expansion of -1 in n 2.212 * [backup-simplify]: Simplify -1 into -1 2.213 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.213 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.213 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.213 * [taylor]: Taking taylor expansion of n in n 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.224 * [backup-simplify]: Simplify (- 0) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.226 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 2.227 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 2.228 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (+ (* (/ 2/9 (pow n 2)) 0) (* (/ 22/81 (pow n 3)) (cbrt -1))))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 2.229 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 2.229 * [taylor]: Taking taylor expansion of 22/81 in n 2.229 * [backup-simplify]: Simplify 22/81 into 22/81 2.229 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.229 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.229 * [taylor]: Taking taylor expansion of -1 in n 2.229 * [backup-simplify]: Simplify -1 into -1 2.229 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.230 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.230 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.230 * [taylor]: Taking taylor expansion of n in n 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (* 1 1) into 1 2.230 * [backup-simplify]: Simplify (* 1 1) into 1 2.231 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.243 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 2.243 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 2.243 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 2.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 2.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.243 * [taylor]: Taking taylor expansion of 1/3 in n 2.243 * [backup-simplify]: Simplify 1/3 into 1/3 2.243 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.243 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.243 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.243 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.243 * [taylor]: Taking taylor expansion of f in n 2.243 * [backup-simplify]: Simplify f into f 2.243 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.243 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.243 * [taylor]: Taking taylor expansion of n in n 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.244 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.244 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.244 * [taylor]: Taking taylor expansion of n in n 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (/ 1 1) into 1 2.244 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.244 * [taylor]: Taking taylor expansion of f in n 2.244 * [backup-simplify]: Simplify f into f 2.244 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.245 * [backup-simplify]: Simplify (+ 0 1) into 1 2.245 * [backup-simplify]: Simplify (+ 1 0) into 1 2.245 * [backup-simplify]: Simplify (/ 1 1) into 1 2.246 * [backup-simplify]: Simplify (log 1) into 0 2.246 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 2.248 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 2.248 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 2.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 2.249 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 2.249 * [backup-simplify]: Simplify (exp 0) into 1 2.249 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.250 * [taylor]: Taking taylor expansion of 1/3 in f 2.250 * [backup-simplify]: Simplify 1/3 into 1/3 2.250 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.250 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.250 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.250 * [taylor]: Taking taylor expansion of f in f 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (/ 1 1) into 1 2.250 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.250 * [taylor]: Taking taylor expansion of n in f 2.250 * [backup-simplify]: Simplify n into n 2.250 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.250 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.250 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.250 * [taylor]: Taking taylor expansion of n in f 2.250 * [backup-simplify]: Simplify n into n 2.251 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.251 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.251 * [taylor]: Taking taylor expansion of f in f 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [backup-simplify]: Simplify (+ 1 0) into 1 2.252 * [backup-simplify]: Simplify (- 1) into -1 2.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.253 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.253 * [backup-simplify]: Simplify (log -1) into (log -1) 2.254 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.255 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.256 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.256 * [taylor]: Taking taylor expansion of 1/3 in f 2.256 * [backup-simplify]: Simplify 1/3 into 1/3 2.256 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.256 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.256 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.256 * [taylor]: Taking taylor expansion of f in f 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (/ 1 1) into 1 2.256 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.256 * [taylor]: Taking taylor expansion of n in f 2.256 * [backup-simplify]: Simplify n into n 2.256 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.256 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.256 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.257 * [taylor]: Taking taylor expansion of n in f 2.257 * [backup-simplify]: Simplify n into n 2.257 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.257 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.257 * [taylor]: Taking taylor expansion of f in f 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (/ 1 1) into 1 2.257 * [backup-simplify]: Simplify (+ 1 0) into 1 2.258 * [backup-simplify]: Simplify (- 1) into -1 2.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.259 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.259 * [backup-simplify]: Simplify (log -1) into (log -1) 2.260 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.262 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.262 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.262 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.262 * [taylor]: Taking taylor expansion of 1/3 in n 2.262 * [backup-simplify]: Simplify 1/3 into 1/3 2.262 * [taylor]: Taking taylor expansion of (log -1) in n 2.262 * [taylor]: Taking taylor expansion of -1 in n 2.262 * [backup-simplify]: Simplify -1 into -1 2.262 * [backup-simplify]: Simplify (log -1) into (log -1) 2.263 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.265 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.265 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.268 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.268 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 2.269 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 2.271 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 2.271 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n 2.271 * [taylor]: Taking taylor expansion of 2/3 in n 2.271 * [backup-simplify]: Simplify 2/3 into 2/3 2.271 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n 2.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.272 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.272 * [taylor]: Taking taylor expansion of 1/3 in n 2.272 * [backup-simplify]: Simplify 1/3 into 1/3 2.272 * [taylor]: Taking taylor expansion of (log -1) in n 2.272 * [taylor]: Taking taylor expansion of -1 in n 2.272 * [backup-simplify]: Simplify -1 into -1 2.272 * [backup-simplify]: Simplify (log -1) into (log -1) 2.273 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.275 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 2.281 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 2.282 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (- 0) into 0 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 2.291 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 2.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 2.293 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n 2.293 * [taylor]: Taking taylor expansion of 2/9 in n 2.293 * [backup-simplify]: Simplify 2/9 into 2/9 2.293 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n 2.293 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.293 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.293 * [taylor]: Taking taylor expansion of n in n 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.293 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.293 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.293 * [taylor]: Taking taylor expansion of 1/3 in n 2.293 * [backup-simplify]: Simplify 1/3 into 1/3 2.293 * [taylor]: Taking taylor expansion of (log -1) in n 2.293 * [taylor]: Taking taylor expansion of -1 in n 2.293 * [backup-simplify]: Simplify -1 into -1 2.294 * [backup-simplify]: Simplify (log -1) into (log -1) 2.294 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.295 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.299 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.300 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 2.305 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 2.305 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.309 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [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)))) 2.319 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 2.320 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 2.322 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 2.322 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n 2.322 * [taylor]: Taking taylor expansion of 22/81 in n 2.322 * [backup-simplify]: Simplify 22/81 into 22/81 2.322 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.322 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.322 * [taylor]: Taking taylor expansion of n in n 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.323 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.323 * [taylor]: Taking taylor expansion of 1/3 in n 2.323 * [backup-simplify]: Simplify 1/3 into 1/3 2.323 * [taylor]: Taking taylor expansion of (log -1) in n 2.323 * [taylor]: Taking taylor expansion of -1 in n 2.323 * [backup-simplify]: Simplify -1 into -1 2.323 * [backup-simplify]: Simplify (log -1) into (log -1) 2.323 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.324 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.336 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 2.340 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 2.357 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 2.358 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 2.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.359 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) 2.359 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0 2.359 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n 2.359 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 2.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 2.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 2.359 * [taylor]: Taking taylor expansion of 1/3 in n 2.359 * [backup-simplify]: Simplify 1/3 into 1/3 2.360 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 2.360 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.360 * [taylor]: Taking taylor expansion of (+ n f) in n 2.360 * [taylor]: Taking taylor expansion of n in n 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of f in n 2.360 * [backup-simplify]: Simplify f into f 2.360 * [taylor]: Taking taylor expansion of (- f n) in n 2.360 * [taylor]: Taking taylor expansion of f in n 2.360 * [backup-simplify]: Simplify f into f 2.360 * [taylor]: Taking taylor expansion of n in n 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (+ 0 f) into f 2.360 * [backup-simplify]: Simplify (- 0) into 0 2.360 * [backup-simplify]: Simplify (+ f 0) into f 2.360 * [backup-simplify]: Simplify (/ f f) into 1 2.363 * [backup-simplify]: Simplify (log 1) into 0 2.363 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.364 * [backup-simplify]: Simplify (+ 1 0) into 1 2.364 * [backup-simplify]: Simplify (- 1) into -1 2.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.365 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 2.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 2.366 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 2.366 * [backup-simplify]: Simplify (exp 0) into 1 2.366 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.366 * [taylor]: Taking taylor expansion of -1 in n 2.366 * [backup-simplify]: Simplify -1 into -1 2.366 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.367 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.367 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 2.367 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.367 * [taylor]: Taking taylor expansion of 1/3 in f 2.367 * [backup-simplify]: Simplify 1/3 into 1/3 2.367 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.367 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.367 * [taylor]: Taking taylor expansion of (+ n f) in f 2.367 * [taylor]: Taking taylor expansion of n in f 2.368 * [backup-simplify]: Simplify n into n 2.368 * [taylor]: Taking taylor expansion of f in f 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [taylor]: Taking taylor expansion of (- f n) in f 2.368 * [taylor]: Taking taylor expansion of f in f 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [taylor]: Taking taylor expansion of n in f 2.368 * [backup-simplify]: Simplify n into n 2.368 * [backup-simplify]: Simplify (+ n 0) into n 2.368 * [backup-simplify]: Simplify (- n) into (- n) 2.368 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.368 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.368 * [backup-simplify]: Simplify (log -1) into (log -1) 2.370 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.372 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.372 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.372 * [taylor]: Taking taylor expansion of -1 in f 2.372 * [backup-simplify]: Simplify -1 into -1 2.373 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.374 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.374 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 2.374 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.374 * [taylor]: Taking taylor expansion of 1/3 in f 2.374 * [backup-simplify]: Simplify 1/3 into 1/3 2.374 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.374 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.374 * [taylor]: Taking taylor expansion of (+ n f) in f 2.374 * [taylor]: Taking taylor expansion of n in f 2.374 * [backup-simplify]: Simplify n into n 2.374 * [taylor]: Taking taylor expansion of f in f 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [taylor]: Taking taylor expansion of (- f n) in f 2.374 * [taylor]: Taking taylor expansion of f in f 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [taylor]: Taking taylor expansion of n in f 2.374 * [backup-simplify]: Simplify n into n 2.374 * [backup-simplify]: Simplify (+ n 0) into n 2.374 * [backup-simplify]: Simplify (- n) into (- n) 2.374 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.375 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.375 * [backup-simplify]: Simplify (log -1) into (log -1) 2.376 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.377 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.378 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.378 * [taylor]: Taking taylor expansion of -1 in f 2.378 * [backup-simplify]: Simplify -1 into -1 2.378 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.379 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.380 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 2.380 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n 2.381 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.381 * [taylor]: Taking taylor expansion of -1 in n 2.381 * [backup-simplify]: Simplify -1 into -1 2.381 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.382 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.382 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.382 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.382 * [taylor]: Taking taylor expansion of 1/3 in n 2.382 * [backup-simplify]: Simplify 1/3 into 1/3 2.382 * [taylor]: Taking taylor expansion of (log -1) in n 2.382 * [taylor]: Taking taylor expansion of -1 in n 2.382 * [backup-simplify]: Simplify -1 into -1 2.382 * [backup-simplify]: Simplify (log -1) into (log -1) 2.383 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.385 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.386 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.388 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.388 * [backup-simplify]: Simplify (+ 0 1) into 1 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.389 * [backup-simplify]: Simplify (+ 1 0) into 1 2.389 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 2.391 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 2.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 2.394 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) (cbrt -1))) into (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) 2.394 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n 2.394 * [taylor]: Taking taylor expansion of 2/3 in n 2.394 * [backup-simplify]: Simplify 2/3 into 2/3 2.394 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n 2.394 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.394 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.394 * [taylor]: Taking taylor expansion of -1 in n 2.394 * [backup-simplify]: Simplify -1 into -1 2.395 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.396 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.396 * [taylor]: Taking taylor expansion of n in n 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.397 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.397 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.397 * [taylor]: Taking taylor expansion of 1/3 in n 2.397 * [backup-simplify]: Simplify 1/3 into 1/3 2.397 * [taylor]: Taking taylor expansion of (log -1) in n 2.397 * [taylor]: Taking taylor expansion of -1 in n 2.397 * [backup-simplify]: Simplify -1 into -1 2.397 * [backup-simplify]: Simplify (log -1) into (log -1) 2.398 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.398 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.401 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.403 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.403 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.406 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.407 * [backup-simplify]: Simplify (+ 0 0) into 0 2.408 * [backup-simplify]: Simplify (- 0) into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.408 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 2.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 2.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 2.413 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) (cbrt -1)))) into (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) 2.413 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n 2.413 * [taylor]: Taking taylor expansion of 2/9 in n 2.413 * [backup-simplify]: Simplify 2/9 into 2/9 2.413 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n 2.413 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.413 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.413 * [taylor]: Taking taylor expansion of -1 in n 2.413 * [backup-simplify]: Simplify -1 into -1 2.413 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.414 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.414 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.414 * [taylor]: Taking taylor expansion of n in n 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.414 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.415 * [taylor]: Taking taylor expansion of 1/3 in n 2.415 * [backup-simplify]: Simplify 1/3 into 1/3 2.415 * [taylor]: Taking taylor expansion of (log -1) in n 2.415 * [taylor]: Taking taylor expansion of -1 in n 2.415 * [backup-simplify]: Simplify -1 into -1 2.415 * [backup-simplify]: Simplify (log -1) into (log -1) 2.415 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.416 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.419 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.428 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.429 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.431 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.437 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.445 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.447 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [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)))) 2.450 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 2.451 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 2.453 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 2.455 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (+ (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 0) (* (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) (cbrt -1))))) into (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) 2.455 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n 2.455 * [taylor]: Taking taylor expansion of 22/81 in n 2.455 * [backup-simplify]: Simplify 22/81 into 22/81 2.455 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n 2.455 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.455 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.455 * [taylor]: Taking taylor expansion of -1 in n 2.455 * [backup-simplify]: Simplify -1 into -1 2.455 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.456 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.456 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (* 1 1) into 1 2.456 * [backup-simplify]: Simplify (* 1 1) into 1 2.457 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.457 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.457 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.457 * [taylor]: Taking taylor expansion of 1/3 in n 2.457 * [backup-simplify]: Simplify 1/3 into 1/3 2.457 * [taylor]: Taking taylor expansion of (log -1) in n 2.457 * [taylor]: Taking taylor expansion of -1 in n 2.457 * [backup-simplify]: Simplify -1 into -1 2.457 * [backup-simplify]: Simplify (log -1) into (log -1) 2.458 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.459 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.465 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 2.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.479 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.486 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 2.488 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.489 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.490 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.492 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.494 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) 2.494 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0 2.494 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n 2.494 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 2.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.494 * [taylor]: Taking taylor expansion of 1/3 in n 2.495 * [backup-simplify]: Simplify 1/3 into 1/3 2.495 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.495 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.495 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.495 * [taylor]: Taking taylor expansion of f in n 2.495 * [backup-simplify]: Simplify f into f 2.495 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.495 * [taylor]: Taking taylor expansion of n in n 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (/ 1 1) into 1 2.495 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.495 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.495 * [taylor]: Taking taylor expansion of f in n 2.495 * [backup-simplify]: Simplify f into f 2.495 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (/ 1 1) into 1 2.496 * [backup-simplify]: Simplify (+ 0 1) into 1 2.497 * [backup-simplify]: Simplify (- 1) into -1 2.497 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.498 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.498 * [backup-simplify]: Simplify (log -1) into (log -1) 2.499 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.500 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.500 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.501 * [taylor]: Taking taylor expansion of -1 in n 2.501 * [backup-simplify]: Simplify -1 into -1 2.501 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.502 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.502 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 2.502 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.502 * [taylor]: Taking taylor expansion of 1/3 in f 2.502 * [backup-simplify]: Simplify 1/3 into 1/3 2.502 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.502 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.502 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.502 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.502 * [taylor]: Taking taylor expansion of f in f 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 1 into 1 2.503 * [backup-simplify]: Simplify (/ 1 1) into 1 2.503 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.503 * [taylor]: Taking taylor expansion of n in f 2.503 * [backup-simplify]: Simplify n into n 2.503 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.503 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.503 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.503 * [taylor]: Taking taylor expansion of f in f 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.503 * [backup-simplify]: Simplify (/ 1 1) into 1 2.503 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.503 * [taylor]: Taking taylor expansion of n in f 2.503 * [backup-simplify]: Simplify n into n 2.503 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.504 * [backup-simplify]: Simplify (+ 1 0) into 1 2.504 * [backup-simplify]: Simplify (+ 1 0) into 1 2.505 * [backup-simplify]: Simplify (/ 1 1) into 1 2.505 * [backup-simplify]: Simplify (log 1) into 0 2.505 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.507 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.508 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 2.509 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 2.509 * [backup-simplify]: Simplify (exp 0) into 1 2.509 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.509 * [taylor]: Taking taylor expansion of -1 in f 2.509 * [backup-simplify]: Simplify -1 into -1 2.509 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.510 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.510 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 2.510 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.510 * [taylor]: Taking taylor expansion of 1/3 in f 2.510 * [backup-simplify]: Simplify 1/3 into 1/3 2.510 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.510 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.510 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.510 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.510 * [taylor]: Taking taylor expansion of f in f 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (/ 1 1) into 1 2.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.511 * [taylor]: Taking taylor expansion of n in f 2.511 * [backup-simplify]: Simplify n into n 2.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.511 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.511 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.511 * [taylor]: Taking taylor expansion of f in f 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (/ 1 1) into 1 2.512 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.512 * [taylor]: Taking taylor expansion of n in f 2.512 * [backup-simplify]: Simplify n into n 2.512 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.512 * [backup-simplify]: Simplify (+ 1 0) into 1 2.513 * [backup-simplify]: Simplify (+ 1 0) into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [backup-simplify]: Simplify (log 1) into 0 2.514 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.516 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.516 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 2.517 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 2.517 * [backup-simplify]: Simplify (exp 0) into 1 2.517 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.517 * [taylor]: Taking taylor expansion of -1 in f 2.517 * [backup-simplify]: Simplify -1 into -1 2.518 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.518 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.519 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.519 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.519 * [taylor]: Taking taylor expansion of -1 in n 2.520 * [backup-simplify]: Simplify -1 into -1 2.520 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.521 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.521 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.521 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n)) 2.523 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 2.523 * [taylor]: Taking taylor expansion of 2/3 in n 2.523 * [backup-simplify]: Simplify 2/3 into 2/3 2.523 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.523 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.523 * [taylor]: Taking taylor expansion of -1 in n 2.523 * [backup-simplify]: Simplify -1 into -1 2.523 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.524 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.524 * [taylor]: Taking taylor expansion of n in n 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.525 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.528 * [backup-simplify]: Simplify (+ 0 0) into 0 2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.528 * [backup-simplify]: Simplify (- 0) into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 2.531 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 2.531 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 2.532 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 2.532 * [taylor]: Taking taylor expansion of 2/9 in n 2.532 * [backup-simplify]: Simplify 2/9 into 2/9 2.532 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.532 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.532 * [taylor]: Taking taylor expansion of -1 in n 2.532 * [backup-simplify]: Simplify -1 into -1 2.533 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.533 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.533 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.533 * [taylor]: Taking taylor expansion of n in n 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (* 1 1) into 1 2.534 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.543 * [backup-simplify]: Simplify (+ 0 0) into 0 2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.544 * [backup-simplify]: Simplify (- 0) into 0 2.544 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [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))) 2.547 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 2.547 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 2.548 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (+ (* (/ 2/9 (pow n 2)) 0) (* (/ 22/81 (pow n 3)) (cbrt -1))))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 2.549 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 2.549 * [taylor]: Taking taylor expansion of 22/81 in n 2.549 * [backup-simplify]: Simplify 22/81 into 22/81 2.549 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.549 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.549 * [taylor]: Taking taylor expansion of -1 in n 2.549 * [backup-simplify]: Simplify -1 into -1 2.549 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.550 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.550 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.550 * [taylor]: Taking taylor expansion of n in n 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (* 1 1) into 1 2.550 * [backup-simplify]: Simplify (* 1 1) into 1 2.551 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.562 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 2.562 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 2.562 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 2.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 2.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.562 * [taylor]: Taking taylor expansion of 1/3 in n 2.562 * [backup-simplify]: Simplify 1/3 into 1/3 2.562 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.562 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.562 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.562 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.562 * [taylor]: Taking taylor expansion of f in n 2.562 * [backup-simplify]: Simplify f into f 2.562 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.562 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.562 * [taylor]: Taking taylor expansion of n in n 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.563 * [backup-simplify]: Simplify (/ 1 1) into 1 2.563 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.563 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 1 into 1 2.563 * [backup-simplify]: Simplify (/ 1 1) into 1 2.564 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.564 * [taylor]: Taking taylor expansion of f in n 2.564 * [backup-simplify]: Simplify f into f 2.564 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.564 * [backup-simplify]: Simplify (+ 0 1) into 1 2.565 * [backup-simplify]: Simplify (+ 1 0) into 1 2.565 * [backup-simplify]: Simplify (/ 1 1) into 1 2.565 * [backup-simplify]: Simplify (log 1) into 0 2.566 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 2.568 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 2.568 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 2.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 2.569 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 2.569 * [backup-simplify]: Simplify (exp 0) into 1 2.569 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.569 * [taylor]: Taking taylor expansion of 1/3 in f 2.569 * [backup-simplify]: Simplify 1/3 into 1/3 2.569 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.569 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.569 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.569 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.570 * [taylor]: Taking taylor expansion of f in f 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (/ 1 1) into 1 2.570 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.570 * [taylor]: Taking taylor expansion of n in f 2.570 * [backup-simplify]: Simplify n into n 2.570 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.570 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.570 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.570 * [taylor]: Taking taylor expansion of n in f 2.570 * [backup-simplify]: Simplify n into n 2.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.571 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.571 * [taylor]: Taking taylor expansion of f in f 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (/ 1 1) into 1 2.572 * [backup-simplify]: Simplify (+ 1 0) into 1 2.573 * [backup-simplify]: Simplify (- 1) into -1 2.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.574 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.574 * [backup-simplify]: Simplify (log -1) into (log -1) 2.575 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.577 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.577 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.577 * [taylor]: Taking taylor expansion of 1/3 in f 2.577 * [backup-simplify]: Simplify 1/3 into 1/3 2.577 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.577 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.577 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.577 * [taylor]: Taking taylor expansion of f in f 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (/ 1 1) into 1 2.578 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.578 * [taylor]: Taking taylor expansion of n in f 2.578 * [backup-simplify]: Simplify n into n 2.578 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.578 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.578 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.578 * [taylor]: Taking taylor expansion of n in f 2.578 * [backup-simplify]: Simplify n into n 2.578 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.578 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.578 * [taylor]: Taking taylor expansion of f in f 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ 1 1) into 1 2.579 * [backup-simplify]: Simplify (+ 1 0) into 1 2.579 * [backup-simplify]: Simplify (- 1) into -1 2.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.580 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.581 * [backup-simplify]: Simplify (log -1) into (log -1) 2.582 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.583 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.583 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.583 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.583 * [taylor]: Taking taylor expansion of 1/3 in n 2.583 * [backup-simplify]: Simplify 1/3 into 1/3 2.583 * [taylor]: Taking taylor expansion of (log -1) in n 2.583 * [taylor]: Taking taylor expansion of -1 in n 2.583 * [backup-simplify]: Simplify -1 into -1 2.584 * [backup-simplify]: Simplify (log -1) into (log -1) 2.585 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.586 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.587 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 2.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.588 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify (- 0) into 0 2.589 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.589 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 2.590 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 2.591 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 2.591 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n 2.591 * [taylor]: Taking taylor expansion of 2/3 in n 2.591 * [backup-simplify]: Simplify 2/3 into 2/3 2.591 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n 2.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.591 * [taylor]: Taking taylor expansion of n in n 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.592 * [backup-simplify]: Simplify (/ 1 1) into 1 2.592 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.592 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.592 * [taylor]: Taking taylor expansion of 1/3 in n 2.592 * [backup-simplify]: Simplify 1/3 into 1/3 2.592 * [taylor]: Taking taylor expansion of (log -1) in n 2.592 * [taylor]: Taking taylor expansion of -1 in n 2.592 * [backup-simplify]: Simplify -1 into -1 2.592 * [backup-simplify]: Simplify (log -1) into (log -1) 2.593 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.593 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.596 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 2.599 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 2.600 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.602 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.603 * [backup-simplify]: Simplify (+ 0 0) into 0 2.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (- 0) into 0 2.604 * [backup-simplify]: Simplify (+ 0 0) into 0 2.604 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 2.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 2.608 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 2.608 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n 2.608 * [taylor]: Taking taylor expansion of 2/9 in n 2.608 * [backup-simplify]: Simplify 2/9 into 2/9 2.608 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n 2.608 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.608 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.608 * [taylor]: Taking taylor expansion of n in n 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (* 1 1) into 1 2.608 * [backup-simplify]: Simplify (/ 1 1) into 1 2.608 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.608 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.608 * [taylor]: Taking taylor expansion of 1/3 in n 2.608 * [backup-simplify]: Simplify 1/3 into 1/3 2.608 * [taylor]: Taking taylor expansion of (log -1) in n 2.608 * [taylor]: Taking taylor expansion of -1 in n 2.608 * [backup-simplify]: Simplify -1 into -1 2.609 * [backup-simplify]: Simplify (log -1) into (log -1) 2.609 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.610 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.611 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 2.621 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 2.623 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.629 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.639 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.640 * [backup-simplify]: Simplify (+ 0 0) into 0 2.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (- 0) into 0 2.643 * [backup-simplify]: Simplify (+ 0 0) into 0 2.644 * [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)))) 2.647 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 2.648 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 2.651 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 2.651 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n 2.651 * [taylor]: Taking taylor expansion of 22/81 in n 2.651 * [backup-simplify]: Simplify 22/81 into 22/81 2.651 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.652 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.652 * [taylor]: Taking taylor expansion of n in n 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* 1 1) into 1 2.652 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (/ 1 1) into 1 2.653 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.653 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.653 * [taylor]: Taking taylor expansion of 1/3 in n 2.653 * [backup-simplify]: Simplify 1/3 into 1/3 2.653 * [taylor]: Taking taylor expansion of (log -1) in n 2.653 * [taylor]: Taking taylor expansion of -1 in n 2.653 * [backup-simplify]: Simplify -1 into -1 2.653 * [backup-simplify]: Simplify (log -1) into (log -1) 2.654 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.656 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.668 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 2.672 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.676 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 2.685 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 2.686 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 2.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.686 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) 2.686 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0 2.686 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n 2.686 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 2.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 2.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 2.686 * [taylor]: Taking taylor expansion of 1/3 in n 2.686 * [backup-simplify]: Simplify 1/3 into 1/3 2.686 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 2.686 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.686 * [taylor]: Taking taylor expansion of (+ n f) in n 2.686 * [taylor]: Taking taylor expansion of n in n 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [taylor]: Taking taylor expansion of f in n 2.686 * [backup-simplify]: Simplify f into f 2.686 * [taylor]: Taking taylor expansion of (- f n) in n 2.687 * [taylor]: Taking taylor expansion of f in n 2.687 * [backup-simplify]: Simplify f into f 2.687 * [taylor]: Taking taylor expansion of n in n 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (+ 0 f) into f 2.687 * [backup-simplify]: Simplify (- 0) into 0 2.687 * [backup-simplify]: Simplify (+ f 0) into f 2.687 * [backup-simplify]: Simplify (/ f f) into 1 2.687 * [backup-simplify]: Simplify (log 1) into 0 2.687 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.688 * [backup-simplify]: Simplify (+ 1 0) into 1 2.688 * [backup-simplify]: Simplify (- 1) into -1 2.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.688 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 2.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 2.689 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 2.689 * [backup-simplify]: Simplify (exp 0) into 1 2.689 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.689 * [taylor]: Taking taylor expansion of -1 in n 2.689 * [backup-simplify]: Simplify -1 into -1 2.689 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.690 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.690 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 2.690 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.690 * [taylor]: Taking taylor expansion of 1/3 in f 2.690 * [backup-simplify]: Simplify 1/3 into 1/3 2.690 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.690 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.690 * [taylor]: Taking taylor expansion of (+ n f) in f 2.690 * [taylor]: Taking taylor expansion of n in f 2.690 * [backup-simplify]: Simplify n into n 2.690 * [taylor]: Taking taylor expansion of f in f 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of (- f n) in f 2.690 * [taylor]: Taking taylor expansion of f in f 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of n in f 2.690 * [backup-simplify]: Simplify n into n 2.690 * [backup-simplify]: Simplify (+ n 0) into n 2.690 * [backup-simplify]: Simplify (- n) into (- n) 2.690 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.690 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.691 * [backup-simplify]: Simplify (log -1) into (log -1) 2.691 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.692 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.692 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.692 * [taylor]: Taking taylor expansion of -1 in f 2.692 * [backup-simplify]: Simplify -1 into -1 2.692 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.693 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.693 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 2.693 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.693 * [taylor]: Taking taylor expansion of 1/3 in f 2.693 * [backup-simplify]: Simplify 1/3 into 1/3 2.693 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.693 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.693 * [taylor]: Taking taylor expansion of (+ n f) in f 2.693 * [taylor]: Taking taylor expansion of n in f 2.693 * [backup-simplify]: Simplify n into n 2.693 * [taylor]: Taking taylor expansion of f in f 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of (- f n) in f 2.693 * [taylor]: Taking taylor expansion of f in f 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of n in f 2.693 * [backup-simplify]: Simplify n into n 2.693 * [backup-simplify]: Simplify (+ n 0) into n 2.693 * [backup-simplify]: Simplify (- n) into (- n) 2.693 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.693 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.694 * [backup-simplify]: Simplify (log -1) into (log -1) 2.694 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.695 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.695 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.695 * [taylor]: Taking taylor expansion of -1 in f 2.695 * [backup-simplify]: Simplify -1 into -1 2.696 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.696 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.697 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 2.697 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n 2.697 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.697 * [taylor]: Taking taylor expansion of -1 in n 2.697 * [backup-simplify]: Simplify -1 into -1 2.697 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.698 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.698 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.698 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.698 * [taylor]: Taking taylor expansion of 1/3 in n 2.698 * [backup-simplify]: Simplify 1/3 into 1/3 2.698 * [taylor]: Taking taylor expansion of (log -1) in n 2.698 * [taylor]: Taking taylor expansion of -1 in n 2.698 * [backup-simplify]: Simplify -1 into -1 2.698 * [backup-simplify]: Simplify (log -1) into (log -1) 2.699 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.700 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.701 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.702 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.702 * [backup-simplify]: Simplify (+ 0 1) into 1 2.702 * [backup-simplify]: Simplify (- 0) into 0 2.702 * [backup-simplify]: Simplify (+ 1 0) into 1 2.703 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 2.703 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 2.704 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 2.706 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) (cbrt -1))) into (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) 2.706 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n 2.706 * [taylor]: Taking taylor expansion of 2/3 in n 2.706 * [backup-simplify]: Simplify 2/3 into 2/3 2.706 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n 2.706 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.706 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.706 * [taylor]: Taking taylor expansion of -1 in n 2.707 * [backup-simplify]: Simplify -1 into -1 2.707 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.708 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.708 * [taylor]: Taking taylor expansion of n in n 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.709 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.709 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.709 * [taylor]: Taking taylor expansion of 1/3 in n 2.709 * [backup-simplify]: Simplify 1/3 into 1/3 2.709 * [taylor]: Taking taylor expansion of (log -1) in n 2.709 * [taylor]: Taking taylor expansion of -1 in n 2.709 * [backup-simplify]: Simplify -1 into -1 2.709 * [backup-simplify]: Simplify (log -1) into (log -1) 2.710 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.712 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.714 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.718 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.722 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.724 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.728 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.729 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.731 * [backup-simplify]: Simplify (+ 0 0) into 0 2.731 * [backup-simplify]: Simplify (- 0) into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.732 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.734 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 2.737 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 2.740 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) (cbrt -1)))) into (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) 2.740 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n 2.740 * [taylor]: Taking taylor expansion of 2/9 in n 2.740 * [backup-simplify]: Simplify 2/9 into 2/9 2.740 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n 2.740 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.740 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.740 * [taylor]: Taking taylor expansion of -1 in n 2.740 * [backup-simplify]: Simplify -1 into -1 2.741 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.741 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.741 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (* 1 1) into 1 2.743 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.743 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.743 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.743 * [taylor]: Taking taylor expansion of 1/3 in n 2.743 * [backup-simplify]: Simplify 1/3 into 1/3 2.743 * [taylor]: Taking taylor expansion of (log -1) in n 2.743 * [taylor]: Taking taylor expansion of -1 in n 2.743 * [backup-simplify]: Simplify -1 into -1 2.744 * [backup-simplify]: Simplify (log -1) into (log -1) 2.745 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.746 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.752 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.755 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.766 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.767 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.774 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.780 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.788 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.791 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.793 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.795 * [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)))) 2.797 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 2.799 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 2.801 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 2.805 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (+ (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 0) (* (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) (cbrt -1))))) into (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) 2.805 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n 2.805 * [taylor]: Taking taylor expansion of 22/81 in n 2.805 * [backup-simplify]: Simplify 22/81 into 22/81 2.805 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n 2.805 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.805 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.805 * [taylor]: Taking taylor expansion of -1 in n 2.805 * [backup-simplify]: Simplify -1 into -1 2.806 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.807 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.807 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.807 * [taylor]: Taking taylor expansion of n in n 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (* 1 1) into 1 2.809 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.809 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.809 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.809 * [taylor]: Taking taylor expansion of 1/3 in n 2.809 * [backup-simplify]: Simplify 1/3 into 1/3 2.809 * [taylor]: Taking taylor expansion of (log -1) in n 2.809 * [taylor]: Taking taylor expansion of -1 in n 2.809 * [backup-simplify]: Simplify -1 into -1 2.809 * [backup-simplify]: Simplify (log -1) into (log -1) 2.810 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.812 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.817 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.823 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 2.827 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 2.846 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.847 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 2.849 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.851 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 2.853 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) 2.853 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0 2.853 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n 2.853 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 2.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.853 * [taylor]: Taking taylor expansion of 1/3 in n 2.853 * [backup-simplify]: Simplify 1/3 into 1/3 2.854 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.854 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.854 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.854 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.854 * [taylor]: Taking taylor expansion of f in n 2.854 * [backup-simplify]: Simplify f into f 2.854 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.854 * [taylor]: Taking taylor expansion of n in n 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (/ 1 1) into 1 2.854 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.854 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.854 * [taylor]: Taking taylor expansion of f in n 2.854 * [backup-simplify]: Simplify f into f 2.854 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.854 * [taylor]: Taking taylor expansion of n in n 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (/ 1 1) into 1 2.855 * [backup-simplify]: Simplify (+ 0 1) into 1 2.856 * [backup-simplify]: Simplify (- 1) into -1 2.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.857 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.857 * [backup-simplify]: Simplify (log -1) into (log -1) 2.857 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.858 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.858 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.858 * [taylor]: Taking taylor expansion of -1 in n 2.858 * [backup-simplify]: Simplify -1 into -1 2.859 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.859 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.859 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 2.859 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.859 * [taylor]: Taking taylor expansion of 1/3 in f 2.859 * [backup-simplify]: Simplify 1/3 into 1/3 2.859 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.859 * [taylor]: Taking taylor expansion of f in f 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.860 * [backup-simplify]: Simplify (/ 1 1) into 1 2.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.860 * [taylor]: Taking taylor expansion of n in f 2.860 * [backup-simplify]: Simplify n into n 2.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.860 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.860 * [taylor]: Taking taylor expansion of f in f 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [backup-simplify]: Simplify (/ 1 1) into 1 2.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.860 * [taylor]: Taking taylor expansion of n in f 2.860 * [backup-simplify]: Simplify n into n 2.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.860 * [backup-simplify]: Simplify (+ 1 0) into 1 2.861 * [backup-simplify]: Simplify (+ 1 0) into 1 2.861 * [backup-simplify]: Simplify (/ 1 1) into 1 2.861 * [backup-simplify]: Simplify (log 1) into 0 2.861 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.862 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.863 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 2.863 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 2.863 * [backup-simplify]: Simplify (exp 0) into 1 2.863 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.863 * [taylor]: Taking taylor expansion of -1 in f 2.863 * [backup-simplify]: Simplify -1 into -1 2.864 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.864 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.864 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 2.864 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.864 * [taylor]: Taking taylor expansion of 1/3 in f 2.864 * [backup-simplify]: Simplify 1/3 into 1/3 2.864 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.864 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.864 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.864 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.865 * [taylor]: Taking taylor expansion of f in f 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.866 * [taylor]: Taking taylor expansion of n in f 2.867 * [backup-simplify]: Simplify n into n 2.867 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.867 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.867 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.867 * [taylor]: Taking taylor expansion of f in f 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (/ 1 1) into 1 2.867 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.867 * [taylor]: Taking taylor expansion of n in f 2.867 * [backup-simplify]: Simplify n into n 2.867 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.867 * [backup-simplify]: Simplify (+ 1 0) into 1 2.868 * [backup-simplify]: Simplify (+ 1 0) into 1 2.868 * [backup-simplify]: Simplify (/ 1 1) into 1 2.868 * [backup-simplify]: Simplify (log 1) into 0 2.869 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.870 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.870 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 2.870 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 2.871 * [backup-simplify]: Simplify (exp 0) into 1 2.871 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.871 * [taylor]: Taking taylor expansion of -1 in f 2.871 * [backup-simplify]: Simplify -1 into -1 2.871 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.871 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.872 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.872 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.872 * [taylor]: Taking taylor expansion of -1 in n 2.872 * [backup-simplify]: Simplify -1 into -1 2.872 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.873 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.873 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.873 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n)) 2.874 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 2.874 * [taylor]: Taking taylor expansion of 2/3 in n 2.874 * [backup-simplify]: Simplify 2/3 into 2/3 2.874 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.874 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.874 * [taylor]: Taking taylor expansion of -1 in n 2.874 * [backup-simplify]: Simplify -1 into -1 2.875 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.875 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.875 * [taylor]: Taking taylor expansion of n in n 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.879 * [backup-simplify]: Simplify (+ 0 0) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.880 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 2.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 2.883 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 2.884 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 2.884 * [taylor]: Taking taylor expansion of 2/9 in n 2.884 * [backup-simplify]: Simplify 2/9 into 2/9 2.884 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.884 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.884 * [taylor]: Taking taylor expansion of -1 in n 2.884 * [backup-simplify]: Simplify -1 into -1 2.884 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.884 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 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 2.885 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.897 * [backup-simplify]: Simplify (+ 0 0) into 0 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [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))) 2.903 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 2.904 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 2.905 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (+ (* (/ 2/9 (pow n 2)) 0) (* (/ 22/81 (pow n 3)) (cbrt -1))))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 2.907 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 2.907 * [taylor]: Taking taylor expansion of 22/81 in n 2.907 * [backup-simplify]: Simplify 22/81 into 22/81 2.907 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.907 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.907 * [taylor]: Taking taylor expansion of -1 in n 2.907 * [backup-simplify]: Simplify -1 into -1 2.907 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.908 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.908 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.908 * [taylor]: Taking taylor expansion of n in n 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (* 1 1) into 1 2.909 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.923 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 2.923 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 2.923 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 2.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 2.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.924 * [taylor]: Taking taylor expansion of 1/3 in n 2.924 * [backup-simplify]: Simplify 1/3 into 1/3 2.924 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.924 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.924 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.924 * [taylor]: Taking taylor expansion of f in n 2.924 * [backup-simplify]: Simplify f into f 2.924 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.924 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.924 * [taylor]: Taking taylor expansion of n in n 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.924 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.924 * [taylor]: Taking taylor expansion of n in n 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (/ 1 1) into 1 2.925 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.925 * [taylor]: Taking taylor expansion of f in n 2.925 * [backup-simplify]: Simplify f into f 2.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.925 * [backup-simplify]: Simplify (+ 0 1) into 1 2.926 * [backup-simplify]: Simplify (+ 1 0) into 1 2.926 * [backup-simplify]: Simplify (/ 1 1) into 1 2.926 * [backup-simplify]: Simplify (log 1) into 0 2.927 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 2.929 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 2.929 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 2.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 2.930 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 2.930 * [backup-simplify]: Simplify (exp 0) into 1 2.930 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.930 * [taylor]: Taking taylor expansion of 1/3 in f 2.930 * [backup-simplify]: Simplify 1/3 into 1/3 2.930 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.930 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.930 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.930 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.930 * [taylor]: Taking taylor expansion of f in f 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.931 * [taylor]: Taking taylor expansion of n in f 2.931 * [backup-simplify]: Simplify n into n 2.931 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.931 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.931 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.931 * [taylor]: Taking taylor expansion of n in f 2.931 * [backup-simplify]: Simplify n into n 2.931 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.931 * [taylor]: Taking taylor expansion of f in f 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.932 * [backup-simplify]: Simplify (+ 1 0) into 1 2.932 * [backup-simplify]: Simplify (- 1) into -1 2.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.933 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.933 * [backup-simplify]: Simplify (log -1) into (log -1) 2.934 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.936 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.936 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.936 * [taylor]: Taking taylor expansion of 1/3 in f 2.936 * [backup-simplify]: Simplify 1/3 into 1/3 2.936 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.936 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.936 * [taylor]: Taking taylor expansion of f in f 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.937 * [taylor]: Taking taylor expansion of n in f 2.937 * [backup-simplify]: Simplify n into n 2.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.937 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.937 * [taylor]: Taking taylor expansion of n in f 2.937 * [backup-simplify]: Simplify n into n 2.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.937 * [taylor]: Taking taylor expansion of f in f 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [backup-simplify]: Simplify (+ 1 0) into 1 2.938 * [backup-simplify]: Simplify (- 1) into -1 2.939 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.939 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.940 * [backup-simplify]: Simplify (log -1) into (log -1) 2.940 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.942 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.942 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.942 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.942 * [taylor]: Taking taylor expansion of 1/3 in n 2.942 * [backup-simplify]: Simplify 1/3 into 1/3 2.942 * [taylor]: Taking taylor expansion of (log -1) in n 2.942 * [taylor]: Taking taylor expansion of -1 in n 2.942 * [backup-simplify]: Simplify -1 into -1 2.943 * [backup-simplify]: Simplify (log -1) into (log -1) 2.943 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.945 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.946 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.948 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 2.949 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 2.951 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 2.951 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n 2.951 * [taylor]: Taking taylor expansion of 2/3 in n 2.951 * [backup-simplify]: Simplify 2/3 into 2/3 2.951 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n 2.951 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.951 * [taylor]: Taking taylor expansion of n in n 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (/ 1 1) into 1 2.952 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.952 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.952 * [taylor]: Taking taylor expansion of 1/3 in n 2.952 * [backup-simplify]: Simplify 1/3 into 1/3 2.952 * [taylor]: Taking taylor expansion of (log -1) in n 2.952 * [taylor]: Taking taylor expansion of -1 in n 2.952 * [backup-simplify]: Simplify -1 into -1 2.953 * [backup-simplify]: Simplify (log -1) into (log -1) 2.954 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.956 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 2.962 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 2.963 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.965 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.967 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 2.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 2.977 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 2.977 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n 2.977 * [taylor]: Taking taylor expansion of 2/9 in n 2.977 * [backup-simplify]: Simplify 2/9 into 2/9 2.977 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n 2.977 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.977 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.977 * [taylor]: Taking taylor expansion of n in n 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (* 1 1) into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.978 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.978 * [taylor]: Taking taylor expansion of 1/3 in n 2.978 * [backup-simplify]: Simplify 1/3 into 1/3 2.978 * [taylor]: Taking taylor expansion of (log -1) in n 2.978 * [taylor]: Taking taylor expansion of -1 in n 2.978 * [backup-simplify]: Simplify -1 into -1 2.978 * [backup-simplify]: Simplify (log -1) into (log -1) 2.979 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.981 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 2.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 2.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 3.000 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 3.002 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 3.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.015 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 3.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (- 0) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [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)))) 3.025 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 3.026 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 3.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 3.029 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n 3.029 * [taylor]: Taking taylor expansion of 22/81 in n 3.029 * [backup-simplify]: Simplify 22/81 into 22/81 3.029 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n 3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.029 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.029 * [taylor]: Taking taylor expansion of n in n 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (* 1 1) into 1 3.030 * [backup-simplify]: Simplify (* 1 1) into 1 3.030 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.030 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.030 * [taylor]: Taking taylor expansion of 1/3 in n 3.030 * [backup-simplify]: Simplify 1/3 into 1/3 3.030 * [taylor]: Taking taylor expansion of (log -1) in n 3.030 * [taylor]: Taking taylor expansion of -1 in n 3.030 * [backup-simplify]: Simplify -1 into -1 3.031 * [backup-simplify]: Simplify (log -1) into (log -1) 3.032 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.033 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 3.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 3.045 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 3.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 3.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 3.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 3.064 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 3.066 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 3.067 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.067 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.067 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.067 * [taylor]: Taking taylor expansion of -1 in n 3.067 * [backup-simplify]: Simplify -1 into -1 3.067 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.067 * [taylor]: Taking taylor expansion of (+ n f) in n 3.067 * [taylor]: Taking taylor expansion of n in n 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [taylor]: Taking taylor expansion of f in n 3.067 * [backup-simplify]: Simplify f into f 3.067 * [taylor]: Taking taylor expansion of (- f n) in n 3.067 * [taylor]: Taking taylor expansion of f in n 3.067 * [backup-simplify]: Simplify f into f 3.067 * [taylor]: Taking taylor expansion of n in n 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (+ 0 f) into f 3.068 * [backup-simplify]: Simplify (- 0) into 0 3.068 * [backup-simplify]: Simplify (+ f 0) into f 3.068 * [backup-simplify]: Simplify (/ f f) into 1 3.068 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.068 * [taylor]: Taking taylor expansion of -1 in f 3.068 * [backup-simplify]: Simplify -1 into -1 3.068 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.068 * [taylor]: Taking taylor expansion of (+ n f) in f 3.068 * [taylor]: Taking taylor expansion of n in f 3.068 * [backup-simplify]: Simplify n into n 3.068 * [taylor]: Taking taylor expansion of f in f 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [taylor]: Taking taylor expansion of (- f n) in f 3.068 * [taylor]: Taking taylor expansion of f in f 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [taylor]: Taking taylor expansion of n in f 3.068 * [backup-simplify]: Simplify n into n 3.068 * [backup-simplify]: Simplify (+ n 0) into n 3.068 * [backup-simplify]: Simplify (- n) into (- n) 3.068 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.069 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.069 * [taylor]: Taking taylor expansion of -1 in f 3.069 * [backup-simplify]: Simplify -1 into -1 3.069 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.069 * [taylor]: Taking taylor expansion of (+ n f) in f 3.069 * [taylor]: Taking taylor expansion of n in f 3.069 * [backup-simplify]: Simplify n into n 3.069 * [taylor]: Taking taylor expansion of f in f 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify 1 into 1 3.069 * [taylor]: Taking taylor expansion of (- f n) in f 3.069 * [taylor]: Taking taylor expansion of f in f 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify 1 into 1 3.069 * [taylor]: Taking taylor expansion of n in f 3.069 * [backup-simplify]: Simplify n into n 3.069 * [backup-simplify]: Simplify (+ n 0) into n 3.069 * [backup-simplify]: Simplify (- n) into (- n) 3.069 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.069 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.070 * [backup-simplify]: Simplify (* -1 -1) into 1 3.070 * [taylor]: Taking taylor expansion of 1 in n 3.070 * [backup-simplify]: Simplify 1 into 1 3.070 * [backup-simplify]: Simplify 1 into 1 3.070 * [backup-simplify]: Simplify (+ 0 1) into 1 3.070 * [backup-simplify]: Simplify (- 0) into 0 3.071 * [backup-simplify]: Simplify (+ 1 0) into 1 3.071 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.072 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.072 * [taylor]: Taking taylor expansion of 2 in n 3.072 * [backup-simplify]: Simplify 2 into 2 3.072 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.072 * [taylor]: Taking taylor expansion of n in n 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (- 0) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.075 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.076 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.076 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.076 * [taylor]: Taking taylor expansion of 2 in n 3.076 * [backup-simplify]: Simplify 2 into 2 3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.076 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.076 * [taylor]: Taking taylor expansion of n in n 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (* 1 1) into 1 3.077 * [backup-simplify]: Simplify (/ 1 1) into 1 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.081 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify (- 0) into 0 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.086 * [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))) 3.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.086 * [taylor]: Taking taylor expansion of 2 in n 3.086 * [backup-simplify]: Simplify 2 into 2 3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.086 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.086 * [taylor]: Taking taylor expansion of n in n 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.097 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.097 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.097 * [taylor]: Taking taylor expansion of -1 in n 3.097 * [backup-simplify]: Simplify -1 into -1 3.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.097 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.097 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.097 * [taylor]: Taking taylor expansion of f in n 3.097 * [backup-simplify]: Simplify f into f 3.097 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.097 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.097 * [taylor]: Taking taylor expansion of n in n 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.097 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.097 * [taylor]: Taking taylor expansion of f in n 3.097 * [backup-simplify]: Simplify f into f 3.097 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.097 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.097 * [taylor]: Taking taylor expansion of n in n 3.097 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [backup-simplify]: Simplify (+ 0 1) into 1 3.099 * [backup-simplify]: Simplify (- 1) into -1 3.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.099 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.099 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.100 * [taylor]: Taking taylor expansion of -1 in f 3.100 * [backup-simplify]: Simplify -1 into -1 3.100 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.100 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.100 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.100 * [taylor]: Taking taylor expansion of f in f 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.100 * [taylor]: Taking taylor expansion of n in f 3.100 * [backup-simplify]: Simplify n into n 3.100 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.100 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.100 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.100 * [taylor]: Taking taylor expansion of f in f 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.101 * [taylor]: Taking taylor expansion of n in f 3.101 * [backup-simplify]: Simplify n into n 3.101 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.101 * [backup-simplify]: Simplify (+ 1 0) into 1 3.102 * [backup-simplify]: Simplify (+ 1 0) into 1 3.102 * [backup-simplify]: Simplify (/ 1 1) into 1 3.102 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.102 * [taylor]: Taking taylor expansion of -1 in f 3.102 * [backup-simplify]: Simplify -1 into -1 3.102 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.102 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.102 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.102 * [taylor]: Taking taylor expansion of f in f 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.103 * [taylor]: Taking taylor expansion of n in f 3.103 * [backup-simplify]: Simplify n into n 3.103 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.103 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.103 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.103 * [taylor]: Taking taylor expansion of f in f 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.103 * [taylor]: Taking taylor expansion of n in f 3.103 * [backup-simplify]: Simplify n into n 3.103 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.104 * [backup-simplify]: Simplify (+ 1 0) into 1 3.104 * [backup-simplify]: Simplify (+ 1 0) into 1 3.105 * [backup-simplify]: Simplify (/ 1 1) into 1 3.105 * [backup-simplify]: Simplify (* -1 1) into -1 3.105 * [taylor]: Taking taylor expansion of -1 in n 3.105 * [backup-simplify]: Simplify -1 into -1 3.105 * [backup-simplify]: Simplify -1 into -1 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.107 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.107 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.108 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.108 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.108 * [taylor]: Taking taylor expansion of 2 in n 3.108 * [backup-simplify]: Simplify 2 into 2 3.108 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.108 * [taylor]: Taking taylor expansion of n in n 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (/ 1 1) into 1 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.110 * [backup-simplify]: Simplify (- 0) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.114 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.116 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.116 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.116 * [taylor]: Taking taylor expansion of 2 in n 3.116 * [backup-simplify]: Simplify 2 into 2 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.116 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.116 * [taylor]: Taking taylor expansion of n in n 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.121 * [backup-simplify]: Simplify (- 0) into 0 3.121 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.124 * [backup-simplify]: Simplify (- 0) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.131 * [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)))) 3.131 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.131 * [taylor]: Taking taylor expansion of 2 in n 3.131 * [backup-simplify]: Simplify 2 into 2 3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.131 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.131 * [taylor]: Taking taylor expansion of n in n 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (* 1 1) into 1 3.132 * [backup-simplify]: Simplify (* 1 1) into 1 3.132 * [backup-simplify]: Simplify (/ 1 1) into 1 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify -1 into -1 3.142 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.142 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.142 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.143 * [taylor]: Taking taylor expansion of f in n 3.143 * [backup-simplify]: Simplify f into f 3.143 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.143 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.143 * [taylor]: Taking taylor expansion of n in n 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (/ 1 1) into 1 3.143 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.143 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.143 * [taylor]: Taking taylor expansion of n in n 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.146 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.146 * [taylor]: Taking taylor expansion of f in n 3.146 * [backup-simplify]: Simplify f into f 3.146 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.147 * [backup-simplify]: Simplify (+ 0 1) into 1 3.147 * [backup-simplify]: Simplify (+ 1 0) into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.148 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.148 * [taylor]: Taking taylor expansion of f in f 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.149 * [taylor]: Taking taylor expansion of n in f 3.149 * [backup-simplify]: Simplify n into n 3.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.149 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.149 * [taylor]: Taking taylor expansion of n in f 3.149 * [backup-simplify]: Simplify n into n 3.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.149 * [taylor]: Taking taylor expansion of f in f 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.150 * [backup-simplify]: Simplify (+ 1 0) into 1 3.150 * [backup-simplify]: Simplify (- 1) into -1 3.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.151 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.151 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.151 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.151 * [taylor]: Taking taylor expansion of f in f 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (/ 1 1) into 1 3.152 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.152 * [taylor]: Taking taylor expansion of n in f 3.152 * [backup-simplify]: Simplify n into n 3.152 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.152 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.152 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.152 * [taylor]: Taking taylor expansion of n in f 3.152 * [backup-simplify]: Simplify n into n 3.152 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.152 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.152 * [taylor]: Taking taylor expansion of f in f 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (/ 1 1) into 1 3.153 * [backup-simplify]: Simplify (+ 1 0) into 1 3.153 * [backup-simplify]: Simplify (- 1) into -1 3.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.154 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.154 * [taylor]: Taking taylor expansion of -1 in n 3.154 * [backup-simplify]: Simplify -1 into -1 3.154 * [backup-simplify]: Simplify -1 into -1 3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.155 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.157 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.157 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.157 * [taylor]: Taking taylor expansion of 2 in n 3.157 * [backup-simplify]: Simplify 2 into 2 3.157 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.157 * [taylor]: Taking taylor expansion of n in n 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (/ 1 1) into 1 3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.160 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.161 * [backup-simplify]: Simplify (+ 0 0) into 0 3.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (- 0) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.164 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.164 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.164 * [taylor]: Taking taylor expansion of 2 in n 3.164 * [backup-simplify]: Simplify 2 into 2 3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.164 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.164 * [taylor]: Taking taylor expansion of n in n 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (* 1 1) into 1 3.165 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.174 * [backup-simplify]: Simplify (- 0) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (- 0) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [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)))) 3.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.179 * [taylor]: Taking taylor expansion of 2 in n 3.179 * [backup-simplify]: Simplify 2 into 2 3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.179 * [taylor]: Taking taylor expansion of n in n 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.180 * [backup-simplify]: Simplify (* 1 1) into 1 3.180 * [backup-simplify]: Simplify (* 1 1) into 1 3.180 * [backup-simplify]: Simplify (/ 1 1) into 1 3.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (- 0) into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify -1 into -1 3.190 * * * [progress]: simplifying candidates 3.201 * [simplify]: Simplifying: (log (cbrt (/ (- (+ f n)) (- f n)))) (exp (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (cbrt (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (sqrt (/ (- (+ f n)) (- f n)))) (cbrt (sqrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) (cbrt (/ (cbrt (- (+ f n))) (sqrt (- f n)))) (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (cbrt (/ (cbrt (- (+ f n))) (- f n))) (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))) (cbrt (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n)))) (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (cbrt (/ (cbrt (- (+ f n))) (- f n))) (cbrt (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (sqrt (- (+ f n))) (cbrt (- f n)))) (cbrt (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (cbrt (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (cbrt (/ (sqrt (- (+ f n))) 1)) (cbrt (/ (sqrt (- (+ f n))) (- f n))) (cbrt (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (cbrt (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n)))) (cbrt (/ (sqrt (- (+ f n))) 1)) (cbrt (/ (sqrt (- (+ f n))) (- f n))) (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (- (+ f n)) (cbrt (- f n)))) (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (sqrt (- f n)))) (cbrt (/ 1 1)) (cbrt (/ (- (+ f 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3.794 * * [simplify]: Extracting #2: cost 1458 inf + 466 3.813 * * [simplify]: Extracting #3: cost 1809 inf + 49061 3.889 * * [simplify]: Extracting #4: cost 304 inf + 381044 3.993 * * [simplify]: Extracting #5: cost 38 inf + 432242 4.111 * * [simplify]: Extracting #6: cost 24 inf + 435824 4.198 * * [simplify]: Extracting #7: cost 4 inf + 438731 4.318 * * [simplify]: Extracting #8: cost 0 inf + 439741 4.409 * [simplify]: Simplified to: (log (cbrt (- (/ (+ f n) (- f n))))) (exp (cbrt (- (/ (+ f n) (- f n))))) (cbrt (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n)))))) (cbrt (cbrt (- (/ (+ f n) (- f n))))) (cbrt (sqrt (- (/ (+ f n) (- f n))))) (cbrt (sqrt (- (/ (+ f n) (- f n))))) (cbrt (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n))))) (cbrt (/ (cbrt (- (- f) n)) (cbrt (- f n)))) (cbrt (/ (cbrt (- (- f) n)) (/ (sqrt (- f n)) (cbrt (- (- f) n))))) (cbrt (/ (cbrt (- (- f) n)) (sqrt (- f n)))) (cbrt (* (cbrt (- (- f) n)) (cbrt (- (- f) n)))) (cbrt 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(sqrt f))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (- (/ (+ f n) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (- f) n)) (/ (+ f n) (- f n)) (/ (- (- f) n) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (- f) n) (/ (- (- f) n) (+ (sqrt n) (sqrt f))) (- (- f) n) (/ (- f n) (cbrt (- (- f) n))) (/ (- f n) (sqrt (- (- f) n))) (/ (- f n) (- (- f) n)) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (/ (- (- f) n) (- (* f (* f f)) (* (* n n) n))) (/ -1 (- f n)) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- f n) (- f n)) (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) 1 -1 -1 4.465 * * * [progress]: adding candidates to table 5.948 * * [progress]: iteration 3 / 4 5.948 * * * [progress]: picking best candidate 5.960 * * * * [pick]: Picked # 5.960 * * * [progress]: localizing error 5.974 * * * [progress]: generating rewritten candidates 5.974 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.024 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.041 * * * [progress]: generating series expansions 6.041 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.041 * [backup-simplify]: Simplify (* (/ -1 (- f n)) (+ f n)) into (* -1 (/ (+ n f) (- f n))) 6.041 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.041 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.042 * [taylor]: Taking taylor expansion of -1 in n 6.042 * [backup-simplify]: Simplify -1 into -1 6.042 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.042 * [taylor]: Taking taylor expansion of (+ n f) in n 6.042 * [taylor]: Taking taylor expansion of n in n 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [taylor]: Taking taylor expansion of f in n 6.042 * [backup-simplify]: Simplify f into f 6.042 * [taylor]: Taking taylor expansion of (- f n) in n 6.042 * [taylor]: Taking taylor expansion of f in n 6.042 * [backup-simplify]: Simplify f into f 6.042 * [taylor]: Taking taylor expansion of n in n 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (+ 0 f) into f 6.043 * [backup-simplify]: Simplify (- 0) into 0 6.043 * [backup-simplify]: Simplify (+ f 0) into f 6.043 * [backup-simplify]: Simplify (/ f f) into 1 6.043 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.043 * [taylor]: Taking taylor expansion of -1 in f 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.043 * [taylor]: Taking taylor expansion of (+ n f) in f 6.043 * [taylor]: Taking taylor expansion of n in f 6.043 * [backup-simplify]: Simplify n into n 6.043 * [taylor]: Taking taylor expansion of f in f 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [taylor]: Taking taylor expansion of (- f n) in f 6.043 * [taylor]: Taking taylor expansion of f in f 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [taylor]: Taking taylor expansion of n in f 6.044 * [backup-simplify]: Simplify n into n 6.044 * [backup-simplify]: Simplify (+ n 0) into n 6.044 * [backup-simplify]: Simplify (- n) into (- n) 6.044 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.044 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.044 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.044 * [taylor]: Taking taylor expansion of -1 in f 6.044 * [backup-simplify]: Simplify -1 into -1 6.044 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.044 * [taylor]: Taking taylor expansion of (+ n f) in f 6.044 * [taylor]: Taking taylor expansion of n in f 6.044 * [backup-simplify]: Simplify n into n 6.044 * [taylor]: Taking taylor expansion of f in f 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [taylor]: Taking taylor expansion of (- f n) in f 6.044 * [taylor]: Taking taylor expansion of f in f 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [taylor]: Taking taylor expansion of n in f 6.044 * [backup-simplify]: Simplify n into n 6.044 * [backup-simplify]: Simplify (+ n 0) into n 6.044 * [backup-simplify]: Simplify (- n) into (- n) 6.044 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.045 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.045 * [backup-simplify]: Simplify (* -1 -1) into 1 6.045 * [taylor]: Taking taylor expansion of 1 in n 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (+ 0 1) into 1 6.046 * [backup-simplify]: Simplify (- 0) into 0 6.047 * [backup-simplify]: Simplify (+ 1 0) into 1 6.047 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.047 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.047 * [taylor]: Taking taylor expansion of 2 in n 6.047 * [backup-simplify]: Simplify 2 into 2 6.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.047 * [taylor]: Taking taylor expansion of n in n 6.047 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 1 into 1 6.048 * [backup-simplify]: Simplify (/ 1 1) into 1 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (+ 0 0) into 0 6.050 * [backup-simplify]: Simplify (- 0) into 0 6.051 * [backup-simplify]: Simplify (+ 0 0) into 0 6.051 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.052 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.052 * [taylor]: Taking taylor expansion of 2 in n 6.052 * [backup-simplify]: Simplify 2 into 2 6.052 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.052 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.052 * [taylor]: Taking taylor expansion of n in n 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.053 * [backup-simplify]: Simplify (* 1 1) into 1 6.053 * [backup-simplify]: Simplify (/ 1 1) into 1 6.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.057 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.060 * [backup-simplify]: Simplify (- 0) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.061 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.061 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.062 * [taylor]: Taking taylor expansion of 2 in n 6.062 * [backup-simplify]: Simplify 2 into 2 6.062 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.062 * [taylor]: Taking taylor expansion of (pow n 3) 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 * [backup-simplify]: Simplify (* 1 1) into 1 6.062 * [backup-simplify]: Simplify (* 1 1) into 1 6.062 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.068 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.068 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.068 * [taylor]: Taking taylor expansion of -1 in n 6.068 * [backup-simplify]: Simplify -1 into -1 6.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.068 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.068 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.068 * [taylor]: Taking taylor expansion of f in n 6.068 * [backup-simplify]: Simplify f into f 6.068 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.068 * [taylor]: Taking taylor expansion of n in n 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [backup-simplify]: Simplify (/ 1 1) into 1 6.068 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.068 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.068 * [taylor]: Taking taylor expansion of f in n 6.068 * [backup-simplify]: Simplify f into f 6.068 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.068 * [taylor]: Taking taylor expansion of n in n 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (/ 1 1) into 1 6.069 * [backup-simplify]: Simplify (+ 0 1) into 1 6.069 * [backup-simplify]: Simplify (- 1) into -1 6.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.070 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.070 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.070 * [taylor]: Taking taylor expansion of -1 in f 6.070 * [backup-simplify]: Simplify -1 into -1 6.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.070 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.070 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.070 * [taylor]: Taking taylor expansion of f in f 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (/ 1 1) into 1 6.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.070 * [taylor]: Taking taylor expansion of n in f 6.070 * [backup-simplify]: Simplify n into n 6.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.070 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.070 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.070 * [taylor]: Taking taylor expansion of f in f 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 1 into 1 6.071 * [backup-simplify]: Simplify (/ 1 1) into 1 6.071 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.071 * [taylor]: Taking taylor expansion of n in f 6.071 * [backup-simplify]: Simplify n into n 6.071 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.071 * [backup-simplify]: Simplify (+ 1 0) into 1 6.071 * [backup-simplify]: Simplify (+ 1 0) into 1 6.072 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.072 * [taylor]: Taking taylor expansion of -1 in f 6.072 * [backup-simplify]: Simplify -1 into -1 6.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.072 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.072 * [taylor]: Taking taylor expansion of f in f 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.072 * [taylor]: Taking taylor expansion of n in f 6.072 * [backup-simplify]: Simplify n into n 6.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.072 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.072 * [taylor]: Taking taylor expansion of f in f 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.072 * [taylor]: Taking taylor expansion of n in f 6.072 * [backup-simplify]: Simplify n into n 6.073 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.073 * [backup-simplify]: Simplify (+ 1 0) into 1 6.073 * [backup-simplify]: Simplify (+ 1 0) into 1 6.073 * [backup-simplify]: Simplify (/ 1 1) into 1 6.074 * [backup-simplify]: Simplify (* -1 1) into -1 6.074 * [taylor]: Taking taylor expansion of -1 in n 6.074 * [backup-simplify]: Simplify -1 into -1 6.074 * [backup-simplify]: Simplify -1 into -1 6.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.077 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.077 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.077 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.077 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.078 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.078 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.078 * [taylor]: Taking taylor expansion of 2 in n 6.078 * [backup-simplify]: Simplify 2 into 2 6.078 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.078 * [taylor]: Taking taylor expansion of n in n 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (/ 1 1) into 1 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.079 * [backup-simplify]: Simplify (- 0) into 0 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.080 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.081 * [backup-simplify]: Simplify (- 0) into 0 6.081 * [backup-simplify]: Simplify (+ 0 0) into 0 6.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.082 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.083 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.083 * [taylor]: Taking taylor expansion of 2 in n 6.083 * [backup-simplify]: Simplify 2 into 2 6.083 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.083 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.083 * [taylor]: Taking taylor expansion of n in n 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.083 * [backup-simplify]: Simplify (* 1 1) into 1 6.083 * [backup-simplify]: Simplify (/ 1 1) into 1 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.086 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.086 * [backup-simplify]: Simplify (- 0) into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.087 * [backup-simplify]: Simplify (- 0) into 0 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.089 * [backup-simplify]: Simplify (- 0) into 0 6.090 * [backup-simplify]: Simplify (+ 0 0) into 0 6.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.093 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.093 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.093 * [taylor]: Taking taylor expansion of 2 in n 6.093 * [backup-simplify]: Simplify 2 into 2 6.093 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.093 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.093 * [taylor]: Taking taylor expansion of n in n 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (* 1 1) into 1 6.094 * [backup-simplify]: Simplify (* 1 1) into 1 6.094 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.104 * [backup-simplify]: Simplify (- 0) into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify -1 into -1 6.104 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.104 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.104 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.104 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.104 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.104 * [taylor]: Taking taylor expansion of f in n 6.104 * [backup-simplify]: Simplify f into f 6.104 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.105 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.105 * [taylor]: Taking taylor expansion of n in n 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [backup-simplify]: Simplify (/ 1 1) into 1 6.105 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.105 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.105 * [taylor]: Taking taylor expansion of n in n 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [backup-simplify]: Simplify (/ 1 1) into 1 6.106 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.106 * [taylor]: Taking taylor expansion of f in n 6.106 * [backup-simplify]: Simplify f into f 6.106 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.106 * [backup-simplify]: Simplify (+ 0 1) into 1 6.107 * [backup-simplify]: Simplify (+ 1 0) into 1 6.107 * [backup-simplify]: Simplify (/ 1 1) into 1 6.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.107 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.107 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.107 * [taylor]: Taking taylor expansion of f in f 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 1 into 1 6.107 * [backup-simplify]: Simplify (/ 1 1) into 1 6.107 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.107 * [taylor]: Taking taylor expansion of n in f 6.108 * [backup-simplify]: Simplify n into n 6.108 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.108 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.108 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.108 * [taylor]: Taking taylor expansion of n in f 6.108 * [backup-simplify]: Simplify n into n 6.108 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.108 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.108 * [taylor]: Taking taylor expansion of f in f 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (/ 1 1) into 1 6.109 * [backup-simplify]: Simplify (+ 1 0) into 1 6.109 * [backup-simplify]: Simplify (- 1) into -1 6.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.110 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.110 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.110 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.110 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.110 * [taylor]: Taking taylor expansion of f in f 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify 1 into 1 6.110 * [backup-simplify]: Simplify (/ 1 1) into 1 6.110 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.110 * [taylor]: Taking taylor expansion of n in f 6.111 * [backup-simplify]: Simplify n into n 6.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.111 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.111 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.111 * [taylor]: Taking taylor expansion of n in f 6.111 * [backup-simplify]: Simplify n into n 6.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.111 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.111 * [taylor]: Taking taylor expansion of f in f 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 1 into 1 6.111 * [backup-simplify]: Simplify (/ 1 1) into 1 6.112 * [backup-simplify]: Simplify (+ 1 0) into 1 6.112 * [backup-simplify]: Simplify (- 1) into -1 6.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.113 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.113 * [taylor]: Taking taylor expansion of -1 in n 6.113 * [backup-simplify]: Simplify -1 into -1 6.113 * [backup-simplify]: Simplify -1 into -1 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (- 0) into 0 6.115 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.115 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.115 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.115 * [taylor]: Taking taylor expansion of 2 in n 6.116 * [backup-simplify]: Simplify 2 into 2 6.116 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.116 * [taylor]: Taking taylor expansion of n in n 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (/ 1 1) into 1 6.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.118 * [backup-simplify]: Simplify (- 0) into 0 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (- 0) into 0 6.121 * [backup-simplify]: Simplify (+ 0 0) into 0 6.122 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.122 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.122 * [taylor]: Taking taylor expansion of 2 in n 6.122 * [backup-simplify]: Simplify 2 into 2 6.122 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.122 * [taylor]: Taking taylor expansion of (pow n 2) 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 6.123 * [backup-simplify]: Simplify (* 1 1) into 1 6.123 * [backup-simplify]: Simplify (/ 1 1) into 1 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.128 * [backup-simplify]: Simplify (- 0) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.130 * [backup-simplify]: Simplify (- 0) into 0 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.132 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify (- 0) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.135 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.136 * [taylor]: Taking taylor expansion of 2 in n 6.136 * [backup-simplify]: Simplify 2 into 2 6.136 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.136 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.136 * [taylor]: Taking taylor expansion of n in n 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 1 into 1 6.136 * [backup-simplify]: Simplify (* 1 1) into 1 6.137 * [backup-simplify]: Simplify (* 1 1) into 1 6.137 * [backup-simplify]: Simplify (/ 1 1) into 1 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (- 0) into 0 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify -1 into -1 6.146 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.146 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 6.146 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 6.146 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 6.146 * [taylor]: Taking taylor expansion of -1 in n 6.146 * [backup-simplify]: Simplify -1 into -1 6.146 * [taylor]: Taking taylor expansion of (- f n) in n 6.146 * [taylor]: Taking taylor expansion of f in n 6.146 * [backup-simplify]: Simplify f into f 6.146 * [taylor]: Taking taylor expansion of n in n 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (- 0) into 0 6.147 * [backup-simplify]: Simplify (+ f 0) into f 6.147 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 6.147 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 6.147 * [taylor]: Taking taylor expansion of -1 in f 6.147 * [backup-simplify]: Simplify -1 into -1 6.147 * [taylor]: Taking taylor expansion of (- f n) in f 6.147 * [taylor]: Taking taylor expansion of f in f 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [taylor]: Taking taylor expansion of n in f 6.147 * [backup-simplify]: Simplify n into n 6.147 * [backup-simplify]: Simplify (- n) into (- n) 6.147 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.147 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 6.147 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 6.147 * [taylor]: Taking taylor expansion of -1 in f 6.148 * [backup-simplify]: Simplify -1 into -1 6.148 * [taylor]: Taking taylor expansion of (- f n) in f 6.148 * [taylor]: Taking taylor expansion of f in f 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [taylor]: Taking taylor expansion of n in f 6.148 * [backup-simplify]: Simplify n into n 6.148 * [backup-simplify]: Simplify (- n) into (- n) 6.148 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.148 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 6.148 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.148 * [taylor]: Taking taylor expansion of n in n 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (/ 1 1) into 1 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify (- 0) into 0 6.150 * [backup-simplify]: Simplify (+ 1 0) into 1 6.150 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 6.150 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.150 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.150 * [taylor]: Taking taylor expansion of n in n 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.151 * [backup-simplify]: Simplify (* 1 1) into 1 6.151 * [backup-simplify]: Simplify (/ 1 1) into 1 6.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify (- 0) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 6.157 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.157 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.157 * [taylor]: Taking taylor expansion of n in n 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (* 1 1) into 1 6.158 * [backup-simplify]: Simplify (* 1 1) into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.166 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 6.170 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 6.170 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 6.170 * [taylor]: Taking taylor expansion of -1 in n 6.170 * [backup-simplify]: Simplify -1 into -1 6.170 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.170 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.170 * [taylor]: Taking taylor expansion of f in n 6.170 * [backup-simplify]: Simplify f into f 6.170 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.170 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.170 * [taylor]: Taking taylor expansion of n in n 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify 1 into 1 6.171 * [backup-simplify]: Simplify (/ 1 1) into 1 6.171 * [backup-simplify]: Simplify (- 1) into -1 6.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.172 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.172 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 6.172 * [taylor]: Taking taylor expansion of -1 in f 6.172 * [backup-simplify]: Simplify -1 into -1 6.172 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.172 * [taylor]: Taking taylor expansion of f in f 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (/ 1 1) into 1 6.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.172 * [taylor]: Taking taylor expansion of n in f 6.173 * [backup-simplify]: Simplify n into n 6.173 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.173 * [backup-simplify]: Simplify (+ 1 0) into 1 6.173 * [backup-simplify]: Simplify (/ -1 1) into -1 6.174 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 6.174 * [taylor]: Taking taylor expansion of -1 in f 6.174 * [backup-simplify]: Simplify -1 into -1 6.174 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.174 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.174 * [taylor]: Taking taylor expansion of f in f 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (/ 1 1) into 1 6.174 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.174 * [taylor]: Taking taylor expansion of n in f 6.174 * [backup-simplify]: Simplify n into n 6.175 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.175 * [backup-simplify]: Simplify (+ 1 0) into 1 6.176 * [backup-simplify]: Simplify (/ -1 1) into -1 6.176 * [taylor]: Taking taylor expansion of -1 in n 6.176 * [backup-simplify]: Simplify -1 into -1 6.176 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.178 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 6.178 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.178 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.178 * [taylor]: Taking taylor expansion of n in n 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.179 * [backup-simplify]: Simplify (/ 1 1) into 1 6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.181 * [backup-simplify]: Simplify (- 0) into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.183 * [backup-simplify]: Simplify (- 0) into 0 6.183 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 6.184 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.184 * [taylor]: Taking taylor expansion of (pow n 2) 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 6.185 * [backup-simplify]: Simplify (* 1 1) into 1 6.185 * [backup-simplify]: Simplify (/ 1 1) into 1 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.191 * [backup-simplify]: Simplify (- 0) into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.192 * [backup-simplify]: Simplify (- 0) into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 6.193 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.193 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 6.193 * [taylor]: Taking taylor expansion of -1 in n 6.193 * [backup-simplify]: Simplify -1 into -1 6.193 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.193 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.193 * [taylor]: Taking taylor expansion of n in n 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 1 into 1 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.193 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.193 * [taylor]: Taking taylor expansion of f in n 6.193 * [backup-simplify]: Simplify f into f 6.194 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.194 * [backup-simplify]: Simplify (+ 1 0) into 1 6.194 * [backup-simplify]: Simplify (/ -1 1) into -1 6.194 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 6.194 * [taylor]: Taking taylor expansion of -1 in f 6.195 * [backup-simplify]: Simplify -1 into -1 6.195 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.195 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.195 * [taylor]: Taking taylor expansion of n in f 6.195 * [backup-simplify]: Simplify n into n 6.195 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.195 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.195 * [taylor]: Taking taylor expansion of f in f 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.196 * [backup-simplify]: Simplify (- 1) into -1 6.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.197 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.197 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 6.197 * [taylor]: Taking taylor expansion of -1 in f 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.197 * [taylor]: Taking taylor expansion of n in f 6.197 * [backup-simplify]: Simplify n into n 6.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.197 * [taylor]: Taking taylor expansion of f in f 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [backup-simplify]: Simplify (- 1) into -1 6.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.199 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.199 * [taylor]: Taking taylor expansion of 1 in n 6.199 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (- 0) into 0 6.200 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.201 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 6.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.201 * [taylor]: Taking taylor expansion of n in n 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ 1 1) into 1 6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (- 0) into 0 6.205 * [backup-simplify]: Simplify (+ 0 0) into 0 6.206 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 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 6.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.211 * [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 6.212 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * * * [progress]: simplifying candidates 6.216 * [simplify]: Simplifying: (* (/ -1 (- f n)) (+ f n)) (+ (- (log -1) (log (- f n))) (log (+ f n))) (+ (log (/ -1 (- f n))) (log (+ 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 (- f n)) (/ -1 (- f n))) (/ -1 (- 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 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* f (/ -1 (- f n))) (* n (/ -1 (- f n))) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (* (/ -1 (- f n)) 1) (* (/ -1 (- f n)) 1) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ 1 (- f n)) (+ f n)) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 6.218 * * [simplify]: iteration 0: 127 enodes 6.285 * * [simplify]: iteration 1: 448 enodes 6.532 * * [simplify]: iteration 2: 1676 enodes 7.088 * * [simplify]: iteration complete: 5000 enodes 7.088 * * [simplify]: Extracting #0: cost 76 inf + 0 7.090 * * [simplify]: Extracting #1: cost 870 inf + 3 7.102 * * [simplify]: Extracting #2: cost 1900 inf + 2784 7.113 * * [simplify]: Extracting #3: cost 1980 inf + 37093 7.179 * * [simplify]: Extracting #4: cost 913 inf + 243108 7.286 * * [simplify]: Extracting #5: cost 111 inf + 436770 7.388 * * [simplify]: Extracting #6: cost 6 inf + 460883 7.507 * * [simplify]: Extracting #7: cost 0 inf + 462399 7.589 * [simplify]: Simplified to: (- (/ (+ n f) (- f n))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (- (/ (+ n f) (- f n))) (* (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))))) (* (- (/ (+ n f) (- f n))) (* (- (/ (+ n f) (- f n))) (- (/ (+ 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)))) (- (+ (* (* f f) f) (* (* n n) n))) (* (+ (* n (- n f)) (* f f)) (- f n)) (- (* (- f n) (+ n f))) (* (- f n) (- f n)) (* (sqrt (+ n f)) (sqrt (/ -1 (- f n)))) (* (sqrt (+ n f)) (sqrt (/ -1 (- f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ n f)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ n f)))) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- f n)) (/ (- (sqrt (+ n f))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (* (cbrt (/ -1 (- f n))) (+ n f)) (* (+ n f) (sqrt (/ -1 (- f n)))) (/ (* (cbrt -1) (+ n f)) (cbrt (- f n))) (/ (* (cbrt -1) (+ n f)) (sqrt (- f n))) (/ (* (cbrt -1) (+ n f)) (- f n)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ n f))) (/ (* (cbrt -1) (+ n f)) (- f n)) (/ (* (+ n f) (sqrt -1)) (cbrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (/ (sqrt -1) (/ (- f n) (+ n f))) (* (+ n f) (/ (sqrt -1) (- (sqrt f) (sqrt n)))) (/ (sqrt -1) (/ (- f n) (+ n f))) (/ (- (+ n f)) (cbrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- (sqrt f) (sqrt n)))) (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)) (* (+ n f) (+ (* (+ n f) f) (* n n))) (* (+ n f) (+ n f)) (- (/ (+ (* (* f f) f) (* (* n n) n)) (- f n))) (- (/ (* (- f n) (+ n f)) (- f n))) (- (+ n f)) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (/ (/ -1 (- f n)) (- f n)) (- f n)) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ (/ (/ -1 (- f n)) (- f n)) (- f n)) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (+ (- f) n) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (* (/ (cbrt -1) (+ (sqrt n) (sqrt f))) (cbrt -1)) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (* (* f f) f) (* (* n n) n))) (/ (/ -1 (+ n f)) (- f n)) 1 -1 -1 0 0 0 7.596 * * * [progress]: adding candidates to table 7.994 * * [progress]: iteration 4 / 4 7.994 * * * [progress]: picking best candidate 8.010 * * * * [pick]: Picked # 8.010 * * * [progress]: localizing error 8.026 * * * [progress]: generating rewritten candidates 8.026 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.061 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.113 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 8.141 * * * [progress]: generating series expansions 8.141 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.141 * [backup-simplify]: Simplify (* n (/ -1 (- f n))) into (* -1 (/ n (- f n))) 8.141 * [approximate]: Taking taylor expansion of (* -1 (/ n (- f n))) in (n f) around 0 8.141 * [taylor]: Taking taylor expansion of (* -1 (/ n (- f n))) in f 8.141 * [taylor]: Taking taylor expansion of -1 in f 8.141 * [backup-simplify]: Simplify -1 into -1 8.141 * [taylor]: Taking taylor expansion of (/ n (- f n)) in f 8.142 * [taylor]: Taking taylor expansion of n in f 8.142 * [backup-simplify]: Simplify n into n 8.142 * [taylor]: Taking taylor expansion of (- f n) in f 8.142 * [taylor]: Taking taylor expansion of f in f 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [taylor]: Taking taylor expansion of n in f 8.142 * [backup-simplify]: Simplify n into n 8.142 * [backup-simplify]: Simplify (- n) into (- n) 8.142 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.142 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.142 * [taylor]: Taking taylor expansion of (* -1 (/ n (- f n))) in n 8.142 * [taylor]: Taking taylor expansion of -1 in n 8.142 * [backup-simplify]: Simplify -1 into -1 8.142 * [taylor]: Taking taylor expansion of (/ n (- f n)) in n 8.142 * [taylor]: Taking taylor expansion of n in n 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [taylor]: Taking taylor expansion of (- f n) in n 8.142 * [taylor]: Taking taylor expansion of f in n 8.142 * [backup-simplify]: Simplify f into f 8.142 * [taylor]: Taking taylor expansion of n in n 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.143 * [backup-simplify]: Simplify (- 0) into 0 8.143 * [backup-simplify]: Simplify (+ f 0) into f 8.143 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.143 * [taylor]: Taking taylor expansion of (* -1 (/ n (- f n))) in n 8.143 * [taylor]: Taking taylor expansion of -1 in n 8.143 * [backup-simplify]: Simplify -1 into -1 8.143 * [taylor]: Taking taylor expansion of (/ n (- f n)) in n 8.143 * [taylor]: Taking taylor expansion of n in n 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 1 into 1 8.143 * [taylor]: Taking taylor expansion of (- f n) in n 8.143 * [taylor]: Taking taylor expansion of f in n 8.143 * [backup-simplify]: Simplify f into f 8.143 * [taylor]: Taking taylor expansion of n in n 8.144 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (- 0) into 0 8.144 * [backup-simplify]: Simplify (+ f 0) into f 8.144 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.144 * [backup-simplify]: Simplify (* -1 (/ 1 f)) into (/ -1 f) 8.144 * [taylor]: Taking taylor expansion of (/ -1 f) in f 8.144 * [taylor]: Taking taylor expansion of -1 in f 8.144 * [backup-simplify]: Simplify -1 into -1 8.144 * [taylor]: Taking taylor expansion of f in f 8.144 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify 1 into 1 8.145 * [backup-simplify]: Simplify (/ -1 1) into -1 8.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (- 1) into -1 8.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.147 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ -1 f)))) into (/ 1 (pow f 2)) 8.147 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow f 2))) (* 0 (/ 1 f))) into (- (/ 1 (pow f 2))) 8.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 8.148 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.148 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.148 * [taylor]: Taking taylor expansion of f in f 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 1 into 1 8.148 * [backup-simplify]: Simplify (* 1 1) into 1 8.148 * [backup-simplify]: Simplify (/ 1 1) into 1 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (- 0) into 0 8.152 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (- 0) into 0 8.154 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (/ 1 (pow f 2)) (/ -1 f)))) into (/ 1 (pow f 3)) 8.155 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow f 3))) (+ (* 0 (/ 1 (pow f 2))) (* 0 (/ 1 f)))) into (- (/ 1 (pow f 3))) 8.155 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 3))) in f 8.155 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 8.155 * [taylor]: Taking taylor expansion of (pow f 3) in f 8.155 * [taylor]: Taking taylor expansion of f in f 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify (* 1 1) into 1 8.156 * [backup-simplify]: Simplify (* 1 1) into 1 8.157 * [backup-simplify]: Simplify (/ 1 1) into 1 8.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.163 * [backup-simplify]: Simplify (- 0) into 0 8.163 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (- 0) into 0 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify (* (/ 1 n) (/ -1 (- (/ 1 f) (/ 1 n)))) into (/ -1 (* (- (/ 1 f) (/ 1 n)) n)) 8.166 * [approximate]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) n)) in (n f) around 0 8.166 * [taylor]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) n)) in f 8.166 * [taylor]: Taking taylor expansion of -1 in f 8.166 * [backup-simplify]: Simplify -1 into -1 8.166 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in f 8.166 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.166 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.166 * [taylor]: Taking taylor expansion of f in f 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (/ 1 1) into 1 8.166 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.166 * [taylor]: Taking taylor expansion of n in f 8.166 * [backup-simplify]: Simplify n into n 8.166 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.166 * [taylor]: Taking taylor expansion of n in f 8.166 * [backup-simplify]: Simplify n into n 8.166 * [backup-simplify]: Simplify (+ 1 0) into 1 8.166 * [backup-simplify]: Simplify (* 1 n) into n 8.166 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.166 * [taylor]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) n)) in n 8.166 * [taylor]: Taking taylor expansion of -1 in n 8.166 * [backup-simplify]: Simplify -1 into -1 8.167 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in n 8.167 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.167 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.167 * [taylor]: Taking taylor expansion of f in n 8.167 * [backup-simplify]: Simplify f into f 8.167 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.167 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.167 * [taylor]: Taking taylor expansion of n in n 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify (/ 1 1) into 1 8.167 * [taylor]: Taking taylor expansion of n in n 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify (- 1) into -1 8.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.168 * [backup-simplify]: Simplify (* -1 0) into 0 8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.168 * [backup-simplify]: Simplify (- 0) into 0 8.168 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.169 * [backup-simplify]: Simplify (+ (* -1 1) (* (/ 1 f) 0)) into (- 1) 8.169 * [backup-simplify]: Simplify (/ -1 (- 1)) into 1 8.169 * [taylor]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) n)) in n 8.169 * [taylor]: Taking taylor expansion of -1 in n 8.169 * [backup-simplify]: Simplify -1 into -1 8.169 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in n 8.169 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.169 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.169 * [taylor]: Taking taylor expansion of f in n 8.169 * [backup-simplify]: Simplify f into f 8.169 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.169 * [taylor]: Taking taylor expansion of n in n 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.170 * [backup-simplify]: Simplify (/ 1 1) into 1 8.170 * [taylor]: Taking taylor expansion of n in n 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 1 into 1 8.170 * [backup-simplify]: Simplify (- 1) into -1 8.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.170 * [backup-simplify]: Simplify (* -1 0) into 0 8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (- 0) into 0 8.171 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.171 * [backup-simplify]: Simplify (+ (* -1 1) (* (/ 1 f) 0)) into (- 1) 8.172 * [backup-simplify]: Simplify (/ -1 (- 1)) into 1 8.172 * [taylor]: Taking taylor expansion of 1 in f 8.172 * [backup-simplify]: Simplify 1 into 1 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (- 0) into 0 8.173 * [backup-simplify]: Simplify (+ 0 0) into 0 8.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 8.174 * [backup-simplify]: Simplify (- (/ 0 (- 1)) (+ (* 1 (/ (/ 1 f) (- 1))))) into (/ 1 f) 8.174 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.174 * [taylor]: Taking taylor expansion of f in f 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify 1 into 1 8.175 * [backup-simplify]: Simplify (/ 1 1) into 1 8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 8.179 * [backup-simplify]: Simplify (- (/ 0 (- 1)) (+ (* 1 (/ 0 (- 1))) (* (/ 1 f) (/ (/ 1 f) (- 1))))) into (/ 1 (pow f 2)) 8.179 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.179 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.179 * [taylor]: Taking taylor expansion of f in f 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.179 * [backup-simplify]: Simplify (* 1 1) into 1 8.179 * [backup-simplify]: Simplify (/ 1 1) into 1 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify (* (/ 1 (- n)) (/ -1 (- (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* n (- (/ 1 n) (/ 1 f)))) 8.183 * [approximate]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in (n f) around 0 8.183 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in f 8.183 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in f 8.183 * [taylor]: Taking taylor expansion of n in f 8.183 * [backup-simplify]: Simplify n into n 8.183 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.183 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.183 * [taylor]: Taking taylor expansion of n in f 8.183 * [backup-simplify]: Simplify n into n 8.183 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.183 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.183 * [taylor]: Taking taylor expansion of f in f 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify (/ 1 1) into 1 8.184 * [backup-simplify]: Simplify (- 1) into -1 8.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.184 * [backup-simplify]: Simplify (* n -1) into (* -1 n) 8.184 * [backup-simplify]: Simplify (/ 1 (* -1 n)) into (/ -1 n) 8.184 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in n 8.184 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in n 8.184 * [taylor]: Taking taylor expansion of n in n 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.184 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.184 * [taylor]: Taking taylor expansion of n in n 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.185 * [taylor]: Taking taylor expansion of f in n 8.185 * [backup-simplify]: Simplify f into f 8.185 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.185 * [backup-simplify]: Simplify (+ 1 0) into 1 8.185 * [backup-simplify]: Simplify (* 0 1) into 0 8.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.186 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.186 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.186 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 f))) (* 1 1)) into 1 8.186 * [backup-simplify]: Simplify (/ 1 1) into 1 8.186 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in n 8.186 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in n 8.186 * [taylor]: Taking taylor expansion of n in n 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.186 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.186 * [taylor]: Taking taylor expansion of n in n 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.187 * [taylor]: Taking taylor expansion of f in n 8.187 * [backup-simplify]: Simplify f into f 8.187 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.187 * [backup-simplify]: Simplify (+ 1 0) into 1 8.187 * [backup-simplify]: Simplify (* 0 1) into 0 8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.188 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.188 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 f))) (* 1 1)) into 1 8.188 * [backup-simplify]: Simplify (/ 1 1) into 1 8.188 * [taylor]: Taking taylor expansion of 1 in f 8.188 * [backup-simplify]: Simplify 1 into 1 8.188 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.189 * [backup-simplify]: Simplify (- 0) into 0 8.190 * [backup-simplify]: Simplify (+ 0 0) into 0 8.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (/ 1 f))) (* 0 1))) into (- (/ 1 f)) 8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 f)) 1)))) into (/ 1 f) 8.190 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.190 * [taylor]: Taking taylor expansion of f in f 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 1 into 1 8.191 * [backup-simplify]: Simplify (/ 1 1) into 1 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.192 * [backup-simplify]: Simplify (- 0) into 0 8.193 * [backup-simplify]: Simplify (+ 0 0) into 0 8.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- (/ 1 f))) (* 0 1)))) into 0 8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 f) (/ (- (/ 1 f)) 1)))) into (/ 1 (pow f 2)) 8.194 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.194 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.194 * [taylor]: Taking taylor expansion of f in f 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 1 into 1 8.194 * [backup-simplify]: Simplify (* 1 1) into 1 8.194 * [backup-simplify]: Simplify (/ 1 1) into 1 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.198 * [backup-simplify]: Simplify (* f (/ -1 (- f n))) into (* -1 (/ f (- f n))) 8.198 * [approximate]: Taking taylor expansion of (* -1 (/ f (- f n))) in (f n) around 0 8.198 * [taylor]: Taking taylor expansion of (* -1 (/ f (- f n))) in n 8.198 * [taylor]: Taking taylor expansion of -1 in n 8.198 * [backup-simplify]: Simplify -1 into -1 8.198 * [taylor]: Taking taylor expansion of (/ f (- f n)) in n 8.198 * [taylor]: Taking taylor expansion of f in n 8.198 * [backup-simplify]: Simplify f into f 8.198 * [taylor]: Taking taylor expansion of (- f n) in n 8.198 * [taylor]: Taking taylor expansion of f in n 8.199 * [backup-simplify]: Simplify f into f 8.199 * [taylor]: Taking taylor expansion of n in n 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.199 * [backup-simplify]: Simplify (+ f 0) into f 8.199 * [backup-simplify]: Simplify (/ f f) into 1 8.199 * [taylor]: Taking taylor expansion of (* -1 (/ f (- f n))) in f 8.199 * [taylor]: Taking taylor expansion of -1 in f 8.199 * [backup-simplify]: Simplify -1 into -1 8.199 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 8.199 * [taylor]: Taking taylor expansion of f in f 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [taylor]: Taking taylor expansion of (- f n) in f 8.199 * [taylor]: Taking taylor expansion of f in f 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [taylor]: Taking taylor expansion of n in f 8.199 * [backup-simplify]: Simplify n into n 8.199 * [backup-simplify]: Simplify (- n) into (- n) 8.199 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.199 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 8.199 * [taylor]: Taking taylor expansion of (* -1 (/ f (- f n))) in f 8.199 * [taylor]: Taking taylor expansion of -1 in f 8.199 * [backup-simplify]: Simplify -1 into -1 8.199 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 8.199 * [taylor]: Taking taylor expansion of f in f 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [taylor]: Taking taylor expansion of (- f n) in f 8.199 * [taylor]: Taking taylor expansion of f in f 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [taylor]: Taking taylor expansion of n in f 8.199 * [backup-simplify]: Simplify n into n 8.199 * [backup-simplify]: Simplify (- n) into (- n) 8.199 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.199 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 8.200 * [backup-simplify]: Simplify (* -1 (/ -1 n)) into (/ 1 n) 8.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.200 * [taylor]: Taking taylor expansion of n in n 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 1 into 1 8.200 * [backup-simplify]: Simplify (/ 1 1) into 1 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (- 0) into 0 8.201 * [backup-simplify]: Simplify (+ 1 0) into 1 8.202 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 8.202 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow n 2)))) (* 0 (/ -1 n))) into (/ 1 (pow n 2)) 8.202 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.202 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.202 * [taylor]: Taking taylor expansion of n in n 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.202 * [backup-simplify]: Simplify (* 1 1) into 1 8.203 * [backup-simplify]: Simplify (/ 1 1) into 1 8.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify (- 0) into 0 8.213 * [backup-simplify]: Simplify (+ 0 0) into 0 8.214 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 8.214 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow n 3)))) (+ (* 0 (- (/ 1 (pow n 2)))) (* 0 (/ -1 n)))) into (/ 1 (pow n 3)) 8.214 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.214 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.215 * [taylor]: Taking taylor expansion of n in n 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (* 1 1) into 1 8.215 * [backup-simplify]: Simplify (* 1 1) into 1 8.216 * [backup-simplify]: Simplify (/ 1 1) into 1 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify (* (/ 1 f) (/ -1 (- (/ 1 f) (/ 1 n)))) into (/ -1 (* (- (/ 1 f) (/ 1 n)) f)) 8.223 * [approximate]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) f)) in (f n) around 0 8.223 * [taylor]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) f)) in n 8.223 * [taylor]: Taking taylor expansion of -1 in n 8.223 * [backup-simplify]: Simplify -1 into -1 8.223 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in n 8.223 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.223 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.223 * [taylor]: Taking taylor expansion of f in n 8.223 * [backup-simplify]: Simplify f into f 8.223 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.223 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.223 * [taylor]: Taking taylor expansion of n in n 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 1 into 1 8.223 * [backup-simplify]: Simplify (/ 1 1) into 1 8.223 * [taylor]: Taking taylor expansion of f in n 8.223 * [backup-simplify]: Simplify f into f 8.223 * [backup-simplify]: Simplify (- 1) into -1 8.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.224 * [backup-simplify]: Simplify (* -1 f) into (* -1 f) 8.224 * [backup-simplify]: Simplify (/ -1 (* -1 f)) into (/ 1 f) 8.224 * [taylor]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) f)) in f 8.224 * [taylor]: Taking taylor expansion of -1 in f 8.224 * [backup-simplify]: Simplify -1 into -1 8.224 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 8.224 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.224 * [taylor]: Taking taylor expansion of f in f 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [backup-simplify]: Simplify (/ 1 1) into 1 8.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.224 * [taylor]: Taking taylor expansion of n in f 8.224 * [backup-simplify]: Simplify n into n 8.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.224 * [taylor]: Taking taylor expansion of f in f 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (+ 1 0) into 1 8.225 * [backup-simplify]: Simplify (* 1 0) into 0 8.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.225 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.225 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.226 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 8.226 * [backup-simplify]: Simplify (/ -1 1) into -1 8.226 * [taylor]: Taking taylor expansion of (/ -1 (* (- (/ 1 f) (/ 1 n)) f)) in f 8.226 * [taylor]: Taking taylor expansion of -1 in f 8.226 * [backup-simplify]: Simplify -1 into -1 8.226 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 8.226 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.226 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.226 * [taylor]: Taking taylor expansion of f in f 8.226 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (/ 1 1) into 1 8.227 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.227 * [taylor]: Taking taylor expansion of n in f 8.227 * [backup-simplify]: Simplify n into n 8.227 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.227 * [taylor]: Taking taylor expansion of f in f 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (+ 1 0) into 1 8.227 * [backup-simplify]: Simplify (* 1 0) into 0 8.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.228 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.228 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.228 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 8.229 * [backup-simplify]: Simplify (/ -1 1) into -1 8.229 * [taylor]: Taking taylor expansion of -1 in n 8.229 * [backup-simplify]: Simplify -1 into -1 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.230 * [backup-simplify]: Simplify (- 0) into 0 8.230 * [backup-simplify]: Simplify (+ 0 0) into 0 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 1) (* 0 0))) into (- (/ 1 n)) 8.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 8.231 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 8.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.231 * [taylor]: Taking taylor expansion of n in n 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (/ 1 1) into 1 8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (- 0) into 0 8.232 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.233 * [backup-simplify]: Simplify (- 0) into 0 8.233 * [backup-simplify]: Simplify (+ 0 0) into 0 8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 1) (* 0 0)))) into 0 8.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 8.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 8.235 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.235 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.235 * [taylor]: Taking taylor expansion of n in n 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.235 * [backup-simplify]: Simplify (* 1 1) into 1 8.235 * [backup-simplify]: Simplify (/ 1 1) into 1 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.240 * [backup-simplify]: Simplify (- 0) into 0 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.241 * [backup-simplify]: Simplify (- 0) into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify (* (/ 1 (- f)) (/ -1 (- (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (- (/ 1 n) (/ 1 f)) f)) 8.241 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 n) (/ 1 f)) f)) in (f n) around 0 8.241 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 n) (/ 1 f)) f)) in n 8.241 * [taylor]: Taking taylor expansion of (* (- (/ 1 n) (/ 1 f)) f) in n 8.241 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.241 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.241 * [taylor]: Taking taylor expansion of n in n 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.241 * [backup-simplify]: Simplify (/ 1 1) into 1 8.241 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.241 * [taylor]: Taking taylor expansion of f in n 8.241 * [backup-simplify]: Simplify f into f 8.241 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.241 * [taylor]: Taking taylor expansion of f in n 8.241 * [backup-simplify]: Simplify f into f 8.242 * [backup-simplify]: Simplify (+ 1 0) into 1 8.242 * [backup-simplify]: Simplify (* 1 f) into f 8.242 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.242 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 n) (/ 1 f)) f)) in f 8.242 * [taylor]: Taking taylor expansion of (* (- (/ 1 n) (/ 1 f)) f) in f 8.242 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.242 * [taylor]: Taking taylor expansion of n in f 8.242 * [backup-simplify]: Simplify n into n 8.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.242 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.242 * [taylor]: Taking taylor expansion of f in f 8.242 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify 1 into 1 8.242 * [backup-simplify]: Simplify (/ 1 1) into 1 8.242 * [taylor]: Taking taylor expansion of f in f 8.242 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify 1 into 1 8.243 * [backup-simplify]: Simplify (- 1) into -1 8.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.243 * [backup-simplify]: Simplify (* -1 0) into 0 8.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.244 * [backup-simplify]: Simplify (- 0) into 0 8.244 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.244 * [backup-simplify]: Simplify (+ (* -1 1) (* (/ 1 n) 0)) into (- 1) 8.245 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 8.245 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 n) (/ 1 f)) f)) in f 8.245 * [taylor]: Taking taylor expansion of (* (- (/ 1 n) (/ 1 f)) f) in f 8.245 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.245 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.245 * [taylor]: Taking taylor expansion of n in f 8.245 * [backup-simplify]: Simplify n into n 8.245 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.245 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.245 * [taylor]: Taking taylor expansion of f in f 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (/ 1 1) into 1 8.245 * [taylor]: Taking taylor expansion of f in f 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (- 1) into -1 8.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.246 * [backup-simplify]: Simplify (* -1 0) into 0 8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.247 * [backup-simplify]: Simplify (- 0) into 0 8.247 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.247 * [backup-simplify]: Simplify (+ (* -1 1) (* (/ 1 n) 0)) into (- 1) 8.247 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 8.247 * [taylor]: Taking taylor expansion of -1 in n 8.247 * [backup-simplify]: Simplify -1 into -1 8.247 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.248 * [backup-simplify]: Simplify (- 0) into 0 8.248 * [backup-simplify]: Simplify (+ 0 0) into 0 8.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.249 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) (- 1))))) into (- (/ 1 n)) 8.249 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 8.249 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.249 * [taylor]: Taking taylor expansion of n in n 8.249 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify 1 into 1 8.250 * [backup-simplify]: Simplify (/ 1 1) into 1 8.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.251 * [backup-simplify]: Simplify (- 0) into 0 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (- 0) into 0 8.252 * [backup-simplify]: Simplify (+ 0 0) into 0 8.253 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 (- 1))) (* (- (/ 1 n)) (/ (/ 1 n) (- 1))))) into (- (/ 1 (pow n 2))) 8.253 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 8.253 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.253 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.253 * [taylor]: Taking taylor expansion of n in n 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify 1 into 1 8.254 * [backup-simplify]: Simplify (* 1 1) into 1 8.254 * [backup-simplify]: Simplify (/ 1 1) into 1 8.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.257 * [backup-simplify]: Simplify (- 0) into 0 8.257 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.258 * [backup-simplify]: Simplify (- 0) into 0 8.258 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify 0 into 0 8.258 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.259 * [backup-simplify]: Simplify (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n)))) into (- (+ (/ f (- f n)) (/ n (- f n)))) 8.259 * [approximate]: Taking taylor expansion of (- (+ (/ f (- f n)) (/ n (- f n)))) in (f n) around 0 8.259 * [taylor]: Taking taylor expansion of (- (+ (/ f (- f n)) (/ n (- f n)))) in n 8.259 * [taylor]: Taking taylor expansion of (+ (/ f (- f n)) (/ n (- f n))) in n 8.259 * [taylor]: Taking taylor expansion of (/ f (- f n)) in n 8.259 * [taylor]: Taking taylor expansion of f in n 8.259 * [backup-simplify]: Simplify f into f 8.259 * [taylor]: Taking taylor expansion of (- f n) in n 8.259 * [taylor]: Taking taylor expansion of f in n 8.259 * [backup-simplify]: Simplify f into f 8.259 * [taylor]: Taking taylor expansion of n in n 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify 1 into 1 8.259 * [backup-simplify]: Simplify (- 0) into 0 8.259 * [backup-simplify]: Simplify (+ f 0) into f 8.259 * [backup-simplify]: Simplify (/ f f) into 1 8.259 * [taylor]: Taking taylor expansion of (/ n (- f n)) in n 8.259 * [taylor]: Taking taylor expansion of n in n 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify 1 into 1 8.259 * [taylor]: Taking taylor expansion of (- f n) in n 8.259 * [taylor]: Taking taylor expansion of f in n 8.259 * [backup-simplify]: Simplify f into f 8.259 * [taylor]: Taking taylor expansion of n in n 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify 1 into 1 8.260 * [backup-simplify]: Simplify (- 0) into 0 8.260 * [backup-simplify]: Simplify (+ f 0) into f 8.260 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.260 * [taylor]: Taking taylor expansion of (- (+ (/ f (- f n)) (/ n (- f n)))) in f 8.260 * [taylor]: Taking taylor expansion of (+ (/ f (- f n)) (/ n (- f n))) in f 8.260 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 8.260 * [taylor]: Taking taylor expansion of f in f 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [taylor]: Taking taylor expansion of (- f n) in f 8.260 * [taylor]: Taking taylor expansion of f in f 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [taylor]: Taking taylor expansion of n in f 8.260 * [backup-simplify]: Simplify n into n 8.260 * [backup-simplify]: Simplify (- n) into (- n) 8.260 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.260 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 8.260 * [taylor]: Taking taylor expansion of (/ n (- f n)) in f 8.260 * [taylor]: Taking taylor expansion of n in f 8.260 * [backup-simplify]: Simplify n into n 8.260 * [taylor]: Taking taylor expansion of (- f n) in f 8.260 * [taylor]: Taking taylor expansion of f in f 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [taylor]: Taking taylor expansion of n in f 8.260 * [backup-simplify]: Simplify n into n 8.260 * [backup-simplify]: Simplify (- n) into (- n) 8.260 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.260 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.260 * [taylor]: Taking taylor expansion of (- (+ (/ f (- f n)) (/ n (- f n)))) in f 8.260 * [taylor]: Taking taylor expansion of (+ (/ f (- f n)) (/ n (- f n))) in f 8.260 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 8.260 * [taylor]: Taking taylor expansion of f in f 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [taylor]: Taking taylor expansion of (- f n) in f 8.260 * [taylor]: Taking taylor expansion of f in f 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [taylor]: Taking taylor expansion of n in f 8.260 * [backup-simplify]: Simplify n into n 8.260 * [backup-simplify]: Simplify (- n) into (- n) 8.260 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.260 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 8.261 * [taylor]: Taking taylor expansion of (/ n (- f n)) in f 8.261 * [taylor]: Taking taylor expansion of n in f 8.261 * [backup-simplify]: Simplify n into n 8.261 * [taylor]: Taking taylor expansion of (- f n) in f 8.261 * [taylor]: Taking taylor expansion of f in f 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.261 * [taylor]: Taking taylor expansion of n in f 8.261 * [backup-simplify]: Simplify n into n 8.261 * [backup-simplify]: Simplify (- n) into (- n) 8.261 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.261 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.261 * [backup-simplify]: Simplify (- -1) into 1 8.261 * [taylor]: Taking taylor expansion of 1 in n 8.261 * [backup-simplify]: Simplify 1 into 1 8.261 * [backup-simplify]: Simplify 1 into 1 8.262 * [backup-simplify]: Simplify (- 0) into 0 8.262 * [backup-simplify]: Simplify (+ 1 0) into 1 8.262 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (/ 1 n)) 8.262 * [backup-simplify]: Simplify (+ (/ -1 n) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.262 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 n)))) into (* 2 (/ 1 n)) 8.262 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.262 * [taylor]: Taking taylor expansion of 2 in n 8.262 * [backup-simplify]: Simplify 2 into 2 8.262 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.262 * [taylor]: Taking taylor expansion of n in n 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 1 into 1 8.262 * [backup-simplify]: Simplify (/ 1 1) into 1 8.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.263 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify (- 0) into 0 8.264 * [backup-simplify]: Simplify (+ 1 0) into 1 8.264 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 8.264 * [backup-simplify]: Simplify (- 0) into 0 8.265 * [backup-simplify]: Simplify (+ 0 0) into 0 8.265 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (/ 1 n)) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 8.265 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 8.265 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 8.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.265 * [taylor]: Taking taylor expansion of 2 in n 8.265 * [backup-simplify]: Simplify 2 into 2 8.265 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.265 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.265 * [taylor]: Taking taylor expansion of n in n 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.265 * [backup-simplify]: Simplify (* 1 1) into 1 8.266 * [backup-simplify]: Simplify (/ 1 1) into 1 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 0 into 0 8.270 * [backup-simplify]: Simplify (- 0) into 0 8.270 * [backup-simplify]: Simplify (+ 0 0) into 0 8.270 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 8.270 * [backup-simplify]: Simplify (- 0) into 0 8.271 * [backup-simplify]: Simplify (+ 0 0) into 0 8.271 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (/ 1 n)) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 8.271 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.271 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (pow n 3))))) into (* 2 (/ 1 (pow n 3))) 8.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.271 * [taylor]: Taking taylor expansion of 2 in n 8.271 * [backup-simplify]: Simplify 2 into 2 8.271 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.271 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.271 * [taylor]: Taking taylor expansion of n in n 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 1 into 1 8.272 * [backup-simplify]: Simplify (* 1 1) into 1 8.272 * [backup-simplify]: Simplify (* 1 1) into 1 8.272 * [backup-simplify]: Simplify (/ 1 1) into 1 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 1 into 1 8.279 * [backup-simplify]: Simplify (+ (* (/ 1 f) (/ -1 (- (/ 1 f) (/ 1 n)))) (* (/ 1 n) (/ -1 (- (/ 1 f) (/ 1 n))))) into (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f)))) 8.279 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f)))) in (f n) around 0 8.279 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f)))) in n 8.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f))) in n 8.279 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in n 8.279 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in n 8.279 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.279 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.279 * [taylor]: Taking taylor expansion of f in n 8.279 * [backup-simplify]: Simplify f into f 8.279 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.280 * [taylor]: Taking taylor expansion of n in n 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.280 * [backup-simplify]: Simplify (/ 1 1) into 1 8.280 * [taylor]: Taking taylor expansion of n in n 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.280 * [backup-simplify]: Simplify (- 1) into -1 8.281 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.281 * [backup-simplify]: Simplify (* -1 0) into 0 8.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.282 * [backup-simplify]: Simplify (- 0) into 0 8.283 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.283 * [backup-simplify]: Simplify (+ (* -1 1) (* (/ 1 f) 0)) into (- 1) 8.284 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 8.284 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in n 8.284 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in n 8.284 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.284 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.284 * [taylor]: Taking taylor expansion of f in n 8.284 * [backup-simplify]: Simplify f into f 8.284 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.284 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.284 * [taylor]: Taking taylor expansion of n in n 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify 1 into 1 8.284 * [backup-simplify]: Simplify (/ 1 1) into 1 8.284 * [taylor]: Taking taylor expansion of f in n 8.284 * [backup-simplify]: Simplify f into f 8.285 * [backup-simplify]: Simplify (- 1) into -1 8.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.285 * [backup-simplify]: Simplify (* -1 f) into (* -1 f) 8.285 * [backup-simplify]: Simplify (/ 1 (* -1 f)) into (/ -1 f) 8.285 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f)))) in f 8.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f))) in f 8.285 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in f 8.286 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in f 8.286 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.286 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.286 * [taylor]: Taking taylor expansion of f in f 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (/ 1 1) into 1 8.286 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.286 * [taylor]: Taking taylor expansion of n in f 8.286 * [backup-simplify]: Simplify n into n 8.286 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.286 * [taylor]: Taking taylor expansion of n in f 8.286 * [backup-simplify]: Simplify n into n 8.287 * [backup-simplify]: Simplify (+ 1 0) into 1 8.287 * [backup-simplify]: Simplify (* 1 n) into n 8.287 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.287 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in f 8.287 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 8.287 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.287 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.287 * [taylor]: Taking taylor expansion of f in f 8.287 * [backup-simplify]: Simplify 0 into 0 8.287 * [backup-simplify]: Simplify 1 into 1 8.287 * [backup-simplify]: Simplify (/ 1 1) into 1 8.287 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.288 * [taylor]: Taking taylor expansion of n in f 8.288 * [backup-simplify]: Simplify n into n 8.288 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.288 * [taylor]: Taking taylor expansion of f in f 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [backup-simplify]: Simplify (+ 1 0) into 1 8.289 * [backup-simplify]: Simplify (* 1 0) into 0 8.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.289 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.290 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.290 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 8.290 * [backup-simplify]: Simplify (/ 1 1) into 1 8.291 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f)))) in f 8.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) (/ 1 (* (- (/ 1 f) (/ 1 n)) f))) in f 8.291 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in f 8.291 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in f 8.291 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.291 * [taylor]: Taking taylor expansion of f in f 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify 1 into 1 8.291 * [backup-simplify]: Simplify (/ 1 1) into 1 8.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.291 * [taylor]: Taking taylor expansion of n in f 8.291 * [backup-simplify]: Simplify n into n 8.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.291 * [taylor]: Taking taylor expansion of n in f 8.291 * [backup-simplify]: Simplify n into n 8.292 * [backup-simplify]: Simplify (+ 1 0) into 1 8.292 * [backup-simplify]: Simplify (* 1 n) into n 8.292 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.292 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in f 8.292 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 8.292 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.292 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.292 * [taylor]: Taking taylor expansion of f in f 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.293 * [backup-simplify]: Simplify (/ 1 1) into 1 8.293 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.293 * [taylor]: Taking taylor expansion of n in f 8.293 * [backup-simplify]: Simplify n into n 8.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.293 * [taylor]: Taking taylor expansion of f in f 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.293 * [backup-simplify]: Simplify (+ 1 0) into 1 8.294 * [backup-simplify]: Simplify (* 1 0) into 0 8.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.295 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.295 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 8.295 * [backup-simplify]: Simplify (/ 1 1) into 1 8.296 * [backup-simplify]: Simplify (+ 0 1) into 1 8.296 * [backup-simplify]: Simplify (- 1) into -1 8.296 * [taylor]: Taking taylor expansion of -1 in n 8.296 * [backup-simplify]: Simplify -1 into -1 8.296 * [backup-simplify]: Simplify -1 into -1 8.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.298 * [backup-simplify]: Simplify (- 0) into 0 8.298 * [backup-simplify]: Simplify (+ 0 0) into 0 8.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 1) (* 0 0))) into (- (/ 1 n)) 8.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 8.300 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 8.300 * [backup-simplify]: Simplify (- (* 2 (/ 1 n))) into (- (* 2 (/ 1 n))) 8.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.300 * [taylor]: Taking taylor expansion of 2 in n 8.300 * [backup-simplify]: Simplify 2 into 2 8.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.300 * [taylor]: Taking taylor expansion of n in n 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (/ 1 1) into 1 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.302 * [backup-simplify]: Simplify (- 0) into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.303 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.303 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 n)) n)) into (- 1) 8.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ (- 1) n)))) into (/ 1 (pow n 2)) 8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.306 * [backup-simplify]: Simplify (- 0) into 0 8.306 * [backup-simplify]: Simplify (+ 0 0) into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 1) (* 0 0)))) into 0 8.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 8.309 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.309 * [backup-simplify]: Simplify (- (* 2 (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 8.309 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.309 * [taylor]: Taking taylor expansion of 2 in n 8.309 * [backup-simplify]: Simplify 2 into 2 8.309 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.309 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.309 * [taylor]: Taking taylor expansion of n in n 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 1 into 1 8.310 * [backup-simplify]: Simplify (* 1 1) into 1 8.310 * [backup-simplify]: Simplify (/ 1 1) into 1 8.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.315 * [backup-simplify]: Simplify (- 0) into 0 8.315 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.317 * [backup-simplify]: Simplify (- 0) into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.319 * [backup-simplify]: Simplify (- 0) into 0 8.319 * [backup-simplify]: Simplify (+ 0 0) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (* 0 n))) into 0 8.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ (- 1) n)))) into (/ 1 (pow n 3)) 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.322 * [backup-simplify]: Simplify (- 0) into 0 8.323 * [backup-simplify]: Simplify (+ 0 0) into 0 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 8.331 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 8.331 * [backup-simplify]: Simplify (- (* 2 (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.331 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.331 * [taylor]: Taking taylor expansion of 2 in n 8.331 * [backup-simplify]: Simplify 2 into 2 8.331 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.331 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.331 * [taylor]: Taking taylor expansion of n in n 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.332 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (/ 1 1) into 1 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (- 0) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify -1 into -1 8.342 * [backup-simplify]: Simplify (+ (* (/ 1 (- f)) (/ -1 (- (/ 1 (- f)) (/ 1 (- n))))) (* (/ 1 (- n)) (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))))) into (+ (/ 1 (* f (- (/ 1 n) (/ 1 f)))) (/ 1 (* n (- (/ 1 n) (/ 1 f))))) 8.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (* f (- (/ 1 n) (/ 1 f)))) (/ 1 (* n (- (/ 1 n) (/ 1 f))))) in (f n) around 0 8.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (* f (- (/ 1 n) (/ 1 f)))) (/ 1 (* n (- (/ 1 n) (/ 1 f))))) in n 8.342 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in n 8.342 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in n 8.342 * [taylor]: Taking taylor expansion of f in n 8.342 * [backup-simplify]: Simplify f into f 8.342 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.342 * [taylor]: Taking taylor expansion of n in n 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ 1 1) into 1 8.343 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.343 * [taylor]: Taking taylor expansion of f in n 8.343 * [backup-simplify]: Simplify f into f 8.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.343 * [backup-simplify]: Simplify (+ 1 0) into 1 8.343 * [backup-simplify]: Simplify (* f 1) into f 8.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.344 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in n 8.344 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in n 8.344 * [taylor]: Taking taylor expansion of n in n 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.344 * [taylor]: Taking taylor expansion of n in n 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ 1 1) into 1 8.344 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.344 * [taylor]: Taking taylor expansion of f in n 8.344 * [backup-simplify]: Simplify f into f 8.344 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.345 * [backup-simplify]: Simplify (+ 1 0) into 1 8.345 * [backup-simplify]: Simplify (* 0 1) into 0 8.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.346 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.346 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 f))) (* 1 1)) into 1 8.347 * [backup-simplify]: Simplify (/ 1 1) into 1 8.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (* f (- (/ 1 n) (/ 1 f)))) (/ 1 (* n (- (/ 1 n) (/ 1 f))))) in f 8.347 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in f 8.347 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in f 8.347 * [taylor]: Taking taylor expansion of f in f 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.347 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.347 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.347 * [taylor]: Taking taylor expansion of n in f 8.347 * [backup-simplify]: Simplify n into n 8.347 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.347 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.347 * [taylor]: Taking taylor expansion of f in f 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.348 * [backup-simplify]: Simplify (/ 1 1) into 1 8.348 * [backup-simplify]: Simplify (- 1) into -1 8.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.349 * [backup-simplify]: Simplify (* 0 -1) into 0 8.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.351 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* 1 -1)) into (- 1) 8.351 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 8.351 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in f 8.351 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in f 8.351 * [taylor]: Taking taylor expansion of n in f 8.351 * [backup-simplify]: Simplify n into n 8.351 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.351 * [taylor]: Taking taylor expansion of n in f 8.351 * [backup-simplify]: Simplify n into n 8.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.351 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.351 * [taylor]: Taking taylor expansion of f in f 8.351 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify 1 into 1 8.352 * [backup-simplify]: Simplify (/ 1 1) into 1 8.352 * [backup-simplify]: Simplify (- 1) into -1 8.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.353 * [backup-simplify]: Simplify (* n -1) into (* -1 n) 8.353 * [backup-simplify]: Simplify (/ 1 (* -1 n)) into (/ -1 n) 8.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (* f (- (/ 1 n) (/ 1 f)))) (/ 1 (* n (- (/ 1 n) (/ 1 f))))) in f 8.353 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in f 8.353 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in f 8.353 * [taylor]: Taking taylor expansion of f in f 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.353 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.353 * [taylor]: Taking taylor expansion of n in f 8.353 * [backup-simplify]: Simplify n into n 8.353 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.353 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.353 * [taylor]: Taking taylor expansion of f in f 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (/ 1 1) into 1 8.354 * [backup-simplify]: Simplify (- 1) into -1 8.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.355 * [backup-simplify]: Simplify (* 0 -1) into 0 8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.356 * [backup-simplify]: Simplify (- 0) into 0 8.356 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.357 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* 1 -1)) into (- 1) 8.357 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 8.357 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in f 8.357 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in f 8.357 * [taylor]: Taking taylor expansion of n in f 8.357 * [backup-simplify]: Simplify n into n 8.357 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.357 * [taylor]: Taking taylor expansion of n in f 8.357 * [backup-simplify]: Simplify n into n 8.357 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.358 * [taylor]: Taking taylor expansion of f in f 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 1 into 1 8.358 * [backup-simplify]: Simplify (/ 1 1) into 1 8.358 * [backup-simplify]: Simplify (- 1) into -1 8.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.359 * [backup-simplify]: Simplify (* n -1) into (* -1 n) 8.359 * [backup-simplify]: Simplify (/ 1 (* -1 n)) into (/ -1 n) 8.359 * [backup-simplify]: Simplify (+ -1 0) into -1 8.359 * [taylor]: Taking taylor expansion of -1 in n 8.359 * [backup-simplify]: Simplify -1 into -1 8.359 * [backup-simplify]: Simplify -1 into -1 8.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (- 0) into 0 8.361 * [backup-simplify]: Simplify (+ 0 0) into 0 8.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 n)) (* 0 -1))) into (/ 1 n) 8.362 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) (- 1))))) into (- (/ 1 n)) 8.362 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (/ -1 n)) into (- (* 2 (/ 1 n))) 8.362 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.362 * [taylor]: Taking taylor expansion of 2 in n 8.362 * [backup-simplify]: Simplify 2 into 2 8.362 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.362 * [taylor]: Taking taylor expansion of n in n 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (/ 1 1) into 1 8.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.363 * [backup-simplify]: Simplify (- 0) into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (- 0) into 0 8.365 * [backup-simplify]: Simplify (+ 0 0) into 0 8.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 (- 1))) (* (- (/ 1 n)) (/ (/ 1 n) (- 1))))) into (- (/ 1 (pow n 2))) 8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (- 0) into 0 8.367 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.367 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 -1)) into 1 8.367 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (* -1 n))))) into (- (/ 1 (pow n 2))) 8.367 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 8.367 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.368 * [taylor]: Taking taylor expansion of 2 in n 8.368 * [backup-simplify]: Simplify 2 into 2 8.368 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.368 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.368 * [taylor]: Taking taylor expansion of n in n 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 1 into 1 8.368 * [backup-simplify]: Simplify (* 1 1) into 1 8.368 * [backup-simplify]: Simplify (/ 1 1) into 1 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.371 * [backup-simplify]: Simplify (- 0) into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (- 0) into 0 8.374 * [backup-simplify]: Simplify (+ 0 0) into 0 8.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 -1))))) into 0 8.376 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 (- 1))) (* (- (/ 1 n)) (/ 0 (- 1))) (* (- (/ 1 (pow n 2))) (/ (/ 1 n) (- 1))))) into (- (/ 1 (pow n 3))) 8.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (- 0) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.377 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 (/ 1 n)) (* 0 -1))) into 0 8.378 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (* -1 n))) (* (- (/ 1 (pow n 2))) (/ 1 (* -1 n))))) into (- (/ 1 (pow n 3))) 8.378 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.378 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.378 * [taylor]: Taking taylor expansion of 2 in n 8.378 * [backup-simplify]: Simplify 2 into 2 8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.378 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.378 * [taylor]: Taking taylor expansion of n in n 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.379 * [backup-simplify]: Simplify (* 1 1) into 1 8.379 * [backup-simplify]: Simplify (/ 1 1) into 1 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.384 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify -1 into -1 8.384 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 8.384 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 8.384 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 8.384 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 8.384 * [taylor]: Taking taylor expansion of -1 in n 8.384 * [backup-simplify]: Simplify -1 into -1 8.384 * [taylor]: Taking taylor expansion of (- f n) in n 8.385 * [taylor]: Taking taylor expansion of f in n 8.385 * [backup-simplify]: Simplify f into f 8.385 * [taylor]: Taking taylor expansion of n in n 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (- 0) into 0 8.385 * [backup-simplify]: Simplify (+ f 0) into f 8.385 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 8.385 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 8.385 * [taylor]: Taking taylor expansion of -1 in f 8.385 * [backup-simplify]: Simplify -1 into -1 8.385 * [taylor]: Taking taylor expansion of (- f n) in f 8.385 * [taylor]: Taking taylor expansion of f in f 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [taylor]: Taking taylor expansion of n in f 8.385 * [backup-simplify]: Simplify n into n 8.385 * [backup-simplify]: Simplify (- n) into (- n) 8.385 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.385 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 8.385 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 8.385 * [taylor]: Taking taylor expansion of -1 in f 8.385 * [backup-simplify]: Simplify -1 into -1 8.385 * [taylor]: Taking taylor expansion of (- f n) in f 8.385 * [taylor]: Taking taylor expansion of f in f 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [taylor]: Taking taylor expansion of n in f 8.385 * [backup-simplify]: Simplify n into n 8.385 * [backup-simplify]: Simplify (- n) into (- n) 8.385 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.385 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 8.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.385 * [taylor]: Taking taylor expansion of n in n 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.386 * [backup-simplify]: Simplify (/ 1 1) into 1 8.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (- 0) into 0 8.387 * [backup-simplify]: Simplify (+ 1 0) into 1 8.387 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 8.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.387 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.387 * [taylor]: Taking taylor expansion of n in n 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [backup-simplify]: Simplify (* 1 1) into 1 8.388 * [backup-simplify]: Simplify (/ 1 1) into 1 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify (- 0) into 0 8.391 * [backup-simplify]: Simplify (+ 0 0) into 0 8.391 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 8.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.391 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.391 * [taylor]: Taking taylor expansion of n in n 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (* 1 1) into 1 8.391 * [backup-simplify]: Simplify (* 1 1) into 1 8.392 * [backup-simplify]: Simplify (/ 1 1) into 1 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.401 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 8.402 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 8.402 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 8.402 * [taylor]: Taking taylor expansion of -1 in n 8.402 * [backup-simplify]: Simplify -1 into -1 8.402 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.402 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.402 * [taylor]: Taking taylor expansion of f in n 8.402 * [backup-simplify]: Simplify f into f 8.402 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.402 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.402 * [taylor]: Taking taylor expansion of n in n 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 1 into 1 8.403 * [backup-simplify]: Simplify (/ 1 1) into 1 8.403 * [backup-simplify]: Simplify (- 1) into -1 8.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.404 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.404 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 8.404 * [taylor]: Taking taylor expansion of -1 in f 8.404 * [backup-simplify]: Simplify -1 into -1 8.404 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.404 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.404 * [taylor]: Taking taylor expansion of f in f 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.404 * [backup-simplify]: Simplify (/ 1 1) into 1 8.404 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.405 * [taylor]: Taking taylor expansion of n in f 8.405 * [backup-simplify]: Simplify n into n 8.405 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.405 * [backup-simplify]: Simplify (+ 1 0) into 1 8.405 * [backup-simplify]: Simplify (/ -1 1) into -1 8.406 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 8.406 * [taylor]: Taking taylor expansion of -1 in f 8.406 * [backup-simplify]: Simplify -1 into -1 8.406 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.406 * [taylor]: Taking taylor expansion of f in f 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify 1 into 1 8.406 * [backup-simplify]: Simplify (/ 1 1) into 1 8.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.406 * [taylor]: Taking taylor expansion of n in f 8.406 * [backup-simplify]: Simplify n into n 8.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.407 * [backup-simplify]: Simplify (+ 1 0) into 1 8.407 * [backup-simplify]: Simplify (/ -1 1) into -1 8.407 * [taylor]: Taking taylor expansion of -1 in n 8.407 * [backup-simplify]: Simplify -1 into -1 8.407 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.408 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.408 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 8.409 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 8.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.409 * [taylor]: Taking taylor expansion of n in n 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 1 into 1 8.409 * [backup-simplify]: Simplify (/ 1 1) into 1 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.412 * [backup-simplify]: Simplify (- 0) into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.413 * [backup-simplify]: Simplify (- 0) into 0 8.414 * [backup-simplify]: Simplify (+ 0 0) into 0 8.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 8.415 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 8.415 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.415 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.415 * [taylor]: Taking taylor expansion of n in n 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (* 1 1) into 1 8.416 * [backup-simplify]: Simplify (/ 1 1) into 1 8.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (- 0) into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (- 0) into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 8.423 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.423 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 8.423 * [taylor]: Taking taylor expansion of -1 in n 8.423 * [backup-simplify]: Simplify -1 into -1 8.423 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.423 * [taylor]: Taking taylor expansion of n in n 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify 1 into 1 8.424 * [backup-simplify]: Simplify (/ 1 1) into 1 8.424 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.424 * [taylor]: Taking taylor expansion of f in n 8.424 * [backup-simplify]: Simplify f into f 8.424 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.424 * [backup-simplify]: Simplify (+ 1 0) into 1 8.425 * [backup-simplify]: Simplify (/ -1 1) into -1 8.425 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 8.425 * [taylor]: Taking taylor expansion of -1 in f 8.425 * [backup-simplify]: Simplify -1 into -1 8.425 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.425 * [taylor]: Taking taylor expansion of n in f 8.425 * [backup-simplify]: Simplify n into n 8.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.425 * [taylor]: Taking taylor expansion of f in f 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 1 into 1 8.426 * [backup-simplify]: Simplify (/ 1 1) into 1 8.426 * [backup-simplify]: Simplify (- 1) into -1 8.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.427 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.427 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 8.427 * [taylor]: Taking taylor expansion of -1 in f 8.427 * [backup-simplify]: Simplify -1 into -1 8.427 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.427 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.427 * [taylor]: Taking taylor expansion of n in f 8.427 * [backup-simplify]: Simplify n into n 8.427 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.427 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.427 * [taylor]: Taking taylor expansion of f in f 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (/ 1 1) into 1 8.428 * [backup-simplify]: Simplify (- 1) into -1 8.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.429 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.429 * [taylor]: Taking taylor expansion of 1 in n 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (- 0) into 0 8.430 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.431 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 8.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.431 * [taylor]: Taking taylor expansion of n in n 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (/ 1 1) into 1 8.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.434 * [backup-simplify]: Simplify (- 0) into 0 8.435 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 8.436 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.436 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.436 * [taylor]: Taking taylor expansion of n in n 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify 1 into 1 8.437 * [backup-simplify]: Simplify (* 1 1) into 1 8.437 * [backup-simplify]: Simplify (/ 1 1) into 1 8.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.443 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * * * [progress]: simplifying candidates 8.447 * [simplify]: Simplifying: (* n (/ -1 (- f n))) (+ (log n) (- (log -1) (log (- f n)))) (+ (log n) (log (/ -1 (- f n)))) (log (* n (/ -1 (- f n)))) (exp (* n (/ -1 (- f n)))) (* (* (* n n) n) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n)))) (* (* (* n n) n) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n)))) (* (cbrt (* n (/ -1 (- f n)))) (cbrt (* n (/ -1 (- f n))))) (cbrt (* n (/ -1 (- f n)))) (* (* (* n (/ -1 (- f n))) (* n (/ -1 (- f n)))) (* n (/ -1 (- f n)))) (sqrt (* n (/ -1 (- f n)))) (sqrt (* n (/ -1 (- f n)))) (* (sqrt n) (sqrt (/ -1 (- f n)))) (* (sqrt n) (sqrt (/ -1 (- f n)))) (* (sqrt n) (/ (sqrt -1) (sqrt (- f n)))) (* (sqrt n) (/ (sqrt -1) (sqrt (- f n)))) (* n (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n))))) (* n (sqrt (/ -1 (- f n)))) (* n (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n))))) (* n (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n)))) (* n (/ (* (cbrt -1) (cbrt -1)) 1)) (* n (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n)))) (* n (/ (* (cbrt -1) (cbrt -1)) 1)) (* n (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n))))) (* n (/ (sqrt -1) (sqrt (- f n)))) (* n (/ (sqrt -1) 1)) (* n (/ (sqrt -1) (+ (sqrt f) (sqrt n)))) (* n (/ (sqrt -1) 1)) (* n (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* n (/ 1 (sqrt (- f n)))) (* n (/ 1 1)) (* n (/ 1 (+ (sqrt f) (sqrt n)))) (* n (/ 1 1)) (* n 1) (* n -1) (* n (/ -1 (- (pow f 3) (pow n 3)))) (* n (/ -1 (- (* f f) (* n n)))) (* (cbrt n) (/ -1 (- f n))) (* (sqrt n) (/ -1 (- f n))) (* n (/ -1 (- f n))) (* n -1) (* f (/ -1 (- f n))) (+ (log f) (- (log -1) (log (- f n)))) (+ (log f) (log (/ -1 (- f n)))) (log (* f (/ -1 (- f n)))) (exp (* f (/ -1 (- f n)))) (* (* (* f f) f) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n)))) (* (* (* f f) f) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n)))) (* (cbrt (* f (/ -1 (- f n)))) (cbrt (* f (/ -1 (- f n))))) (cbrt (* f (/ -1 (- f n)))) (* (* (* f (/ -1 (- f n))) (* f (/ -1 (- f n)))) (* f (/ -1 (- f n)))) (sqrt (* f (/ -1 (- f n)))) (sqrt (* f (/ -1 (- f n)))) (* (sqrt f) (sqrt (/ -1 (- f n)))) (* (sqrt f) (sqrt (/ -1 (- f n)))) (* (sqrt f) (/ (sqrt -1) (sqrt (- f n)))) (* (sqrt f) (/ (sqrt -1) (sqrt (- f n)))) (* f (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n))))) (* f (sqrt (/ -1 (- f n)))) (* f (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n))))) (* f (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n)))) (* f (/ (* (cbrt -1) (cbrt -1)) 1)) (* f (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n)))) (* f (/ (* (cbrt -1) (cbrt -1)) 1)) (* f (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n))))) (* f (/ (sqrt -1) (sqrt (- f n)))) (* f (/ (sqrt -1) 1)) (* f (/ (sqrt -1) (+ (sqrt f) (sqrt n)))) (* f (/ (sqrt -1) 1)) (* f (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* f (/ 1 (sqrt (- f n)))) (* f (/ 1 1)) (* f (/ 1 (+ (sqrt f) (sqrt n)))) (* f (/ 1 1)) (* f 1) (* f -1) (* f (/ -1 (- (pow f 3) (pow n 3)))) (* f (/ -1 (- (* f f) (* n n)))) (* (cbrt f) (/ -1 (- f n))) (* (sqrt f) (/ -1 (- f n))) (* f (/ -1 (- f n))) (* f -1) (* (exp (* f (/ -1 (- f n)))) (exp (* n (/ -1 (- f n))))) (log (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (exp (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (* (cbrt (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (cbrt (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n)))))) (cbrt (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (* (* (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n)))) (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (sqrt (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (sqrt (+ (* f (/ -1 (- f n))) (* n (/ -1 (- f n))))) (+ (* (* f -1) (- f n)) (* (- f n) (* n -1))) (* (- f n) (- f n)) (+ (pow (* f (/ -1 (- f n))) 3) (pow (* n (/ -1 (- f n))) 3)) (+ (* (* f (/ -1 (- f n))) (* f (/ -1 (- f n)))) (- (* (* n (/ -1 (- f n))) (* n (/ -1 (- f n)))) (* (* f (/ -1 (- f n))) (* n (/ -1 (- f n)))))) (- (* (* f (/ -1 (- f n))) (* f (/ -1 (- f n)))) (* (* n (/ -1 (- f n))) (* n (/ -1 (- f n))))) (- (* f (/ -1 (- f n))) (* n (/ -1 (- f n)))) (+ f n) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 0 0 0 0 0 0 1 -1 -1 0 0 0 8.452 * * [simplify]: iteration 0: 167 enodes 8.525 * * [simplify]: iteration 1: 467 enodes 8.832 * * [simplify]: iteration 2: 2018 enodes 9.569 * * [simplify]: iteration complete: 5000 enodes 9.569 * * [simplify]: Extracting #0: cost 109 inf + 0 9.571 * * [simplify]: Extracting #1: cost 915 inf + 47 9.580 * * [simplify]: Extracting #2: cost 1681 inf + 20739 9.628 * * [simplify]: Extracting #3: cost 1085 inf + 152054 9.715 * * [simplify]: Extracting #4: cost 188 inf + 354130 9.818 * * [simplify]: Extracting #5: cost 10 inf + 396811 9.921 * * [simplify]: Extracting #6: cost 0 inf + 399686 10.021 * [simplify]: Simplified to: (/ (- n) (- f n)) (log (/ (- n) (- f n))) (log (/ (- n) (- f n))) (log (/ (- n) (- f n))) (exp (/ (- n) (- f n))) (* (/ (- n) (- f n)) (* (/ (- n) (- f n)) (/ (- n) (- f n)))) (* (/ (- n) (- f n)) (* (/ (- n) (- f n)) (/ (- 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))) (* (sqrt n) (sqrt (/ -1 (- f n)))) (* (sqrt n) (sqrt (/ -1 (- f n)))) (/ (* (sqrt n) (sqrt -1)) (sqrt (- f n))) (/ (* (sqrt n) (sqrt -1)) (sqrt (- f n))) (* (cbrt (/ -1 (- f n))) (* (cbrt (/ -1 (- f n))) n)) (* n (sqrt (/ -1 (- f n)))) (* (* n (/ (cbrt -1) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* n (* (cbrt -1) (cbrt -1))) (sqrt (- f n))) (* (* n (cbrt -1)) (cbrt -1)) (/ (* n (* (cbrt -1) (cbrt -1))) (+ (sqrt n) (sqrt f))) (* (* n (cbrt -1)) (cbrt -1)) (* n (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n)))) (/ (* n (sqrt -1)) (sqrt (- f n))) (* n (sqrt -1)) (* n (/ (sqrt -1) (+ (sqrt n) (sqrt f)))) (* n (sqrt -1)) (/ n (* (cbrt (- f n)) (cbrt (- f n)))) (/ n (sqrt (- f n))) n (/ n (+ (sqrt n) (sqrt f))) n n (- n) (/ (- n) (- (* (* f f) f) (* (* n n) n))) (/ (- n) (- (* f f) (* n n))) (/ (- (cbrt n)) (- f n)) (/ (- (sqrt n)) (- f n)) (/ (- n) (- f n)) (- n) (/ (- f) (- f n)) (log (/ (- f) (- f n))) (log (/ (- f) (- f n))) (log (/ (- f) (- f n))) (exp (/ (- f) (- f n))) (* (/ (- f) (- f n)) (* (/ (- f) (- f n)) (/ (- f) (- f n)))) (* (/ (- f) (- f n)) (* (/ (- f) (- f n)) (/ (- f) (- 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))) (* (sqrt f) (sqrt (/ -1 (- f n)))) (* (sqrt f) (sqrt (/ -1 (- f n)))) (/ (* (sqrt -1) (sqrt f)) (sqrt (- f n))) (/ (* (sqrt -1) (sqrt f)) (sqrt (- f n))) (* (cbrt (/ -1 (- f n))) (* (cbrt (/ -1 (- f n))) f)) (* (sqrt (/ -1 (- f n))) f) (/ f (* (/ (cbrt (- f n)) (cbrt -1)) (/ (cbrt (- f n)) (cbrt -1)))) (* f (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n)))) (* (cbrt -1) (* (cbrt -1) f)) (/ (* (* (cbrt -1) (cbrt -1)) f) (+ (sqrt n) (sqrt f))) (* (cbrt -1) (* (cbrt -1) f)) (/ (* (sqrt -1) f) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* f (sqrt -1)) (sqrt (- f n))) (* (sqrt -1) f) (/ (* (sqrt -1) f) (+ (sqrt n) (sqrt f))) (* (sqrt -1) f) (/ f (* (cbrt (- f n)) (cbrt (- f n)))) (/ f (sqrt (- f n))) f (/ f (+ (sqrt n) (sqrt f))) f f (- f) (/ (- f) (- (* (* f f) f) (* (* n n) n))) (/ (- f) (- (* f f) (* n n))) (/ (- (cbrt f)) (- f n)) (/ (- (sqrt f)) (- f n)) (/ (- f) (- f n)) (- f) (exp (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ 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))) (* (- f n) (- (+ n f))) (* (- f n) (- f n)) (+ (* (/ (- f) (- f n)) (* (/ (- f) (- f n)) (/ (- f) (- f n)))) (* (/ (- n) (- f n)) (* (/ (- n) (- f n)) (/ (- n) (- f n))))) (+ (* (* f f) (/ 1 (* (- f n) (- f n)))) (* (* (/ 1 (* (- f n) (- f n))) n) (- n f))) (* (* (* (/ -1 (- f n)) (+ f n)) (/ -1 (- f n))) (- f n)) (/ (- (- f n)) (- f n)) (+ n f) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ -1 (* (- f n) (* (- f n) (- f n)))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ -1 (* (- f n) (* (- f n) (- f n)))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (+ (- f) n) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (* (* f f) f) (* (* n n) n))) (/ -1 (- (* f f) (* n n))) 0 0 0 0 0 0 1 -1 -1 0 0 0 10.029 * * * [progress]: adding candidates to table 10.793 * [progress]: [Phase 3 of 3] Extracting. 10.794 * * [regime]: Finding splitpoints for: (# # #) 10.795 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 10.796 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 10.842 * * * * [regimes]: Trying to branch on n from (# # #) 10.884 * * * * [regimes]: Trying to branch on f from (# # #) 10.950 * * * [regime]: Found split indices: #