0.802 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.124 * * * [progress]: [2/2] Setting up program. 0.129 * [progress]: [Phase 2 of 3] Improving. 0.131 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.134 * * [simplify]: iteration 0: 6 enodes 0.138 * * [simplify]: iteration 1: 13 enodes 0.140 * * [simplify]: iteration 2: 16 enodes 0.142 * * [simplify]: iteration 3: 20 enodes 0.144 * * [simplify]: iteration 4: 26 enodes 0.147 * * [simplify]: iteration 5: 30 enodes 0.151 * * [simplify]: iteration 6: 32 enodes 0.154 * * [simplify]: iteration complete: 32 enodes 0.154 * * [simplify]: Extracting #0: cost 1 inf + 0 0.154 * * [simplify]: Extracting #1: cost 9 inf + 0 0.154 * * [simplify]: Extracting #2: cost 14 inf + 0 0.154 * * [simplify]: Extracting #3: cost 11 inf + 4 0.154 * * [simplify]: Extracting #4: cost 2 inf + 48 0.154 * * [simplify]: Extracting #5: cost 0 inf + 64 0.155 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.162 * * [progress]: iteration 1 / 4 0.162 * * * [progress]: picking best candidate 0.166 * * * * [pick]: Picked # 0.166 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.209 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.244 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.253 * [backup-simplify]: Simplify (/ (- (+ n f)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.253 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (n f) around 0 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.286 * [taylor]: Taking taylor expansion of -1 in f 0.286 * [backup-simplify]: Simplify -1 into -1 0.286 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.286 * [taylor]: Taking taylor expansion of (+ n f) in f 0.286 * [taylor]: Taking taylor expansion of n in f 0.287 * [backup-simplify]: Simplify n into n 0.287 * [taylor]: Taking taylor expansion of f in f 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (- f n) in f 0.288 * [taylor]: Taking taylor expansion of f in f 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of n in f 0.288 * [backup-simplify]: Simplify n into n 0.289 * [backup-simplify]: Simplify (+ n 0) into n 0.289 * [backup-simplify]: Simplify (- n) into (- n) 0.289 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.289 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.289 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.289 * [taylor]: Taking taylor expansion of -1 in n 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.289 * [taylor]: Taking taylor expansion of (+ n f) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of f in n 0.289 * [backup-simplify]: Simplify f into f 0.290 * [taylor]: Taking taylor expansion of (- f n) in n 0.290 * [taylor]: Taking taylor expansion of f in n 0.290 * [backup-simplify]: Simplify f into f 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (+ 0 f) into f 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ f 0) into f 0.292 * [backup-simplify]: Simplify (/ f f) into 1 0.292 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f 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 (/ (+ n f) (- f n)) in n 0.292 * [taylor]: Taking taylor expansion of (+ n f) 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 * [taylor]: Taking taylor expansion of f in n 0.292 * [backup-simplify]: Simplify f into f 0.292 * [taylor]: Taking taylor expansion of (- f n) in n 0.292 * [taylor]: Taking taylor expansion of f in n 0.292 * [backup-simplify]: Simplify f into f 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 0.293 * [backup-simplify]: Simplify (+ 0 f) into f 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ f 0) into f 0.294 * [backup-simplify]: Simplify (/ f f) into 1 0.296 * [backup-simplify]: Simplify (* -1 1) into -1 0.296 * [taylor]: Taking taylor expansion of -1 in f 0.297 * [backup-simplify]: Simplify -1 into -1 0.297 * [backup-simplify]: Simplify -1 into -1 0.299 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (- 1) into -1 0.300 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.301 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 0.302 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 0.302 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 0.302 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 0.302 * [taylor]: Taking taylor expansion of 2 in f 0.302 * [backup-simplify]: Simplify 2 into 2 0.302 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.302 * [taylor]: Taking taylor expansion of f in f 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) 0.312 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (pow f 2)))) 0.312 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f 0.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 0.312 * [taylor]: Taking taylor expansion of 2 in f 0.312 * [backup-simplify]: Simplify 2 into 2 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 0.312 * [taylor]: Taking taylor expansion of (pow f 2) in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) 0.321 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* 0 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1)))) into (- (* 2 (/ 1 (pow f 3)))) 0.321 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 0.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 0.321 * [taylor]: Taking taylor expansion of 2 in f 0.321 * [backup-simplify]: Simplify 2 into 2 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 0.321 * [taylor]: Taking taylor expansion of (pow f 3) in f 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify -1 into -1 0.365 * [backup-simplify]: Simplify (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.365 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 0.366 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.366 * [taylor]: Taking taylor expansion of -1 in f 0.366 * [backup-simplify]: Simplify -1 into -1 0.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.366 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.366 * [taylor]: Taking taylor expansion of f in f 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.367 * [taylor]: Taking taylor expansion of n in f 0.367 * [backup-simplify]: Simplify n into n 0.367 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.367 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.367 * [taylor]: Taking taylor expansion of f in f 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.368 * [taylor]: Taking taylor expansion of n in f 0.368 * [backup-simplify]: Simplify n into n 0.368 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.368 * [backup-simplify]: Simplify (+ 1 0) into 1 0.369 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.370 * [taylor]: Taking taylor expansion of -1 in n 0.370 * [backup-simplify]: Simplify -1 into -1 0.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.370 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.370 * [taylor]: Taking taylor expansion of f in n 0.370 * [backup-simplify]: Simplify f into f 0.370 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.371 * [taylor]: Taking taylor expansion of f in n 0.371 * [backup-simplify]: Simplify f into f 0.371 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.371 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (+ 0 1) into 1 0.373 * [backup-simplify]: Simplify (- 1) into -1 0.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.374 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.374 * [taylor]: Taking taylor expansion of -1 in n 0.375 * [backup-simplify]: Simplify -1 into -1 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.375 * [taylor]: Taking taylor expansion of f in n 0.375 * [backup-simplify]: Simplify f into f 0.375 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.375 * [taylor]: Taking taylor expansion of n in n 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.376 * [taylor]: Taking taylor expansion of f in n 0.376 * [backup-simplify]: Simplify f into f 0.376 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (+ 0 1) into 1 0.378 * [backup-simplify]: Simplify (- 1) into -1 0.397 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.398 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.399 * [backup-simplify]: Simplify (* -1 -1) into 1 0.399 * [taylor]: Taking taylor expansion of 1 in f 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 0.402 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 0.403 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 0.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 0.403 * [taylor]: Taking taylor expansion of 2 in f 0.403 * [backup-simplify]: Simplify 2 into 2 0.403 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.403 * [taylor]: Taking taylor expansion of f in f 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) 0.447 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (pow f 2))) 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 0.448 * [taylor]: Taking taylor expansion of 2 in f 0.448 * [backup-simplify]: Simplify 2 into 2 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 0.448 * [taylor]: Taking taylor expansion of (pow f 2) in f 0.448 * [taylor]: Taking taylor expansion of f in f 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) 0.473 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 3))))) (+ (* 0 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1)))) into (* 2 (/ 1 (pow f 3))) 0.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 0.474 * [taylor]: Taking taylor expansion of 2 in f 0.474 * [backup-simplify]: Simplify 2 into 2 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 0.474 * [taylor]: Taking taylor expansion of (pow f 3) in f 0.474 * [taylor]: Taking taylor expansion of f in f 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.489 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 0.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.489 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.489 * [taylor]: Taking taylor expansion of f in f 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.490 * [taylor]: Taking taylor expansion of n in f 0.490 * [backup-simplify]: Simplify n into n 0.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.490 * [taylor]: Taking taylor expansion of n in f 0.490 * [backup-simplify]: Simplify n into n 0.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.490 * [taylor]: Taking taylor expansion of f in f 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (- 1) into -1 0.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.493 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.493 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.493 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.493 * [taylor]: Taking taylor expansion of f in n 0.493 * [backup-simplify]: Simplify f into f 0.493 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.493 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.494 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.494 * [taylor]: Taking taylor expansion of n in n 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.494 * [taylor]: Taking taylor expansion of f in n 0.494 * [backup-simplify]: Simplify f into f 0.494 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.495 * [backup-simplify]: Simplify (+ 0 1) into 1 0.495 * [backup-simplify]: Simplify (+ 1 0) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.496 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.496 * [taylor]: Taking taylor expansion of f in n 0.496 * [backup-simplify]: Simplify f into f 0.496 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.496 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.496 * [taylor]: Taking taylor expansion of n in n 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.497 * [taylor]: Taking taylor expansion of n in n 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.497 * [taylor]: Taking taylor expansion of f in n 0.497 * [backup-simplify]: Simplify f into f 0.497 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.498 * [backup-simplify]: Simplify (+ 0 1) into 1 0.498 * [backup-simplify]: Simplify (+ 1 0) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of 1 in f 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 0.500 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 0.501 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 0.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 0.501 * [taylor]: Taking taylor expansion of 2 in f 0.501 * [backup-simplify]: Simplify 2 into 2 0.501 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.501 * [taylor]: Taking taylor expansion of f in f 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 0.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 0.506 * [taylor]: Taking taylor expansion of 2 in f 0.506 * [backup-simplify]: Simplify 2 into 2 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 0.506 * [taylor]: Taking taylor expansion of (pow f 2) in f 0.506 * [taylor]: Taking taylor expansion of f in f 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 0.515 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 0.515 * [taylor]: Taking taylor expansion of 2 in f 0.515 * [backup-simplify]: Simplify 2 into 2 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 0.515 * [taylor]: Taking taylor expansion of (pow f 3) in f 0.515 * [taylor]: Taking taylor expansion of f in f 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * * * [progress]: simplifying candidates 0.526 * [simplify]: Simplifying: (- (log (- (+ n f))) (log (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (/ (* (* (- (+ n f)) (- (+ n f))) (- (+ n f))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (- (- (+ n f))) (- (- f n)) (/ 0 (- f n)) (/ (+ n f) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) 1) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) 1) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) 1) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ n f))) 1) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ -1 1) (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ n f) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) 1) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) 1) (/ (cbrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) 1) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) 1) (/ (sqrt (+ n f)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1) (/ (- (cbrt (+ n f))) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1) (/ (- (cbrt (+ n f))) (- f n)) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) 1) (/ (- (sqrt (+ n f))) (- f n)) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) 1) (/ (- (sqrt (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (/ (- (+ n f)) 1) (/ (- (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) 1) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (pow f 3) (pow n 3))) (/ (- (+ n f)) (- (* f f) (* n n))) (* (- f n) (+ (* n n) (- (* f f) (* n f)))) (* (- f n) (- n f)) -1 1 1 0.529 * * [simplify]: iteration 0: 135 enodes 0.575 * * [simplify]: iteration 1: 314 enodes 0.672 * * [simplify]: iteration 2: 1077 enodes 1.376 * * [simplify]: iteration complete: 5000 enodes 1.377 * * [simplify]: Extracting #0: cost 86 inf + 0 1.379 * * [simplify]: Extracting #1: cost 600 inf + 3 1.385 * * [simplify]: Extracting #2: cost 1383 inf + 10 1.395 * * [simplify]: Extracting #3: cost 1898 inf + 1395 1.408 * * [simplify]: Extracting #4: cost 518 inf + 17781 1.421 * * [simplify]: Extracting #5: cost 38 inf + 23270 1.434 * * [simplify]: Extracting #6: cost 24 inf + 23288 1.446 * * [simplify]: Extracting #7: cost 4 inf + 23369 1.461 * * [simplify]: Extracting #8: cost 0 inf + 23391 1.469 * [simplify]: Simplified to: (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (- (pow (/ (+ n f) (- f n)) 3)) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (- (pow (/ (+ n f) (- f n)) 3)) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- n f) 0 (/ (+ n f) (- f n)) (/ (* (cbrt (- (+ n f))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (* (/ (cbrt (- (+ n f))) (sqrt (- f n))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ n f) (- (sqrt f) (sqrt n)))) 1 (- (/ (+ n f) (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (/ (cbrt (+ n f)) (/ (cbrt (- f n)) (/ (cbrt (+ n f)) (cbrt (- f n)))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (- (cbrt (+ n f))) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (- f n)) (* (/ (cbrt (+ n f)) (+ (sqrt n) (sqrt f))) (- (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ n f)) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (* (/ (cbrt (+ n f)) (+ (sqrt n) (sqrt f))) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (- (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ n f) (- (sqrt f) (sqrt n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ n f) (- (sqrt f) (sqrt n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (/ (+ n f) (cbrt (- f n)))) (cbrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (- (/ (+ n f) (+ (sqrt n) (sqrt f)))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (pow f 3) (pow n 3)))) (- (/ 1 (- f n))) (* (+ (* (- f n) f) (* n n)) (- f n)) (* (- n f) (- f n)) -1 1 1 1.470 * * * [progress]: adding candidates to table 1.787 * * [progress]: iteration 2 / 4 1.787 * * * [progress]: picking best candidate 1.802 * * * * [pick]: Picked # 1.802 * * * [progress]: localizing error 1.814 * * * [progress]: generating rewritten candidates 1.814 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.842 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.893 * * * [progress]: generating series expansions 1.893 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.894 * [backup-simplify]: Simplify (/ (- f n) (+ n f)) into (/ (- f n) (+ n f)) 1.894 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.894 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.894 * [taylor]: Taking taylor expansion of (- f n) in n 1.894 * [taylor]: Taking taylor expansion of f in n 1.894 * [backup-simplify]: Simplify f into f 1.894 * [taylor]: Taking taylor expansion of n in n 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [taylor]: Taking taylor expansion of (+ n f) in n 1.894 * [taylor]: Taking taylor expansion of n in n 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [taylor]: Taking taylor expansion of f in n 1.894 * [backup-simplify]: Simplify f into f 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify (+ f 0) into f 1.894 * [backup-simplify]: Simplify (+ 0 f) into f 1.894 * [backup-simplify]: Simplify (/ f f) into 1 1.894 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.895 * [taylor]: Taking taylor expansion of (- f n) in f 1.895 * [taylor]: Taking taylor expansion of f in f 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of n in f 1.895 * [backup-simplify]: Simplify n into n 1.895 * [taylor]: Taking taylor expansion of (+ n f) in f 1.895 * [taylor]: Taking taylor expansion of n in f 1.895 * [backup-simplify]: Simplify n into n 1.895 * [taylor]: Taking taylor expansion of f in f 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (- n) into (- n) 1.895 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.895 * [backup-simplify]: Simplify (+ n 0) into n 1.895 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.895 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.895 * [taylor]: Taking taylor expansion of (- f n) in f 1.895 * [taylor]: Taking taylor expansion of f in f 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of n in f 1.895 * [backup-simplify]: Simplify n into n 1.895 * [taylor]: Taking taylor expansion of (+ n f) in f 1.895 * [taylor]: Taking taylor expansion of n in f 1.895 * [backup-simplify]: Simplify n into n 1.895 * [taylor]: Taking taylor expansion of f in f 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (- n) into (- n) 1.895 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.895 * [backup-simplify]: Simplify (+ n 0) into n 1.895 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.895 * [taylor]: Taking taylor expansion of -1 in n 1.895 * [backup-simplify]: Simplify -1 into -1 1.895 * [backup-simplify]: Simplify -1 into -1 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ 1 0) into 1 1.896 * [backup-simplify]: Simplify (+ 0 1) into 1 1.896 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 1.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.896 * [taylor]: Taking taylor expansion of 2 in n 1.896 * [backup-simplify]: Simplify 2 into 2 1.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.896 * [taylor]: Taking taylor expansion of n in n 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 1.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.899 * [taylor]: Taking taylor expansion of 2 in n 1.899 * [backup-simplify]: Simplify 2 into 2 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.899 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 1.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.909 * [taylor]: Taking taylor expansion of 2 in n 1.909 * [backup-simplify]: Simplify 2 into 2 1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.909 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.909 * [taylor]: Taking taylor expansion of n in n 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (* 1 1) into 1 1.909 * [backup-simplify]: Simplify (* 1 1) into 1 1.910 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify -1 into -1 1.919 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1.919 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.919 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.919 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.919 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.919 * [taylor]: Taking taylor expansion of f in n 1.919 * [backup-simplify]: Simplify f into f 1.920 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.920 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.920 * [taylor]: Taking taylor expansion of n in n 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.920 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.920 * [taylor]: Taking taylor expansion of f in n 1.920 * [backup-simplify]: Simplify f into f 1.920 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.920 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.920 * [taylor]: Taking taylor expansion of n in n 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [backup-simplify]: Simplify (- 1) into -1 1.921 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.922 * [backup-simplify]: Simplify (+ 0 1) into 1 1.922 * [backup-simplify]: Simplify (/ -1 1) into -1 1.922 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.922 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.922 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.922 * [taylor]: Taking taylor expansion of f in f 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.923 * [taylor]: Taking taylor expansion of n in f 1.923 * [backup-simplify]: Simplify n into n 1.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.923 * [taylor]: Taking taylor expansion of f in f 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.924 * [taylor]: Taking taylor expansion of n in f 1.924 * [backup-simplify]: Simplify n into n 1.924 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.924 * [backup-simplify]: Simplify (+ 1 0) into 1 1.924 * [backup-simplify]: Simplify (+ 1 0) into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.925 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.925 * [taylor]: Taking taylor expansion of f in f 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.925 * [taylor]: Taking taylor expansion of n in f 1.925 * [backup-simplify]: Simplify n into n 1.926 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.926 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.926 * [taylor]: Taking taylor expansion of f in f 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.926 * [taylor]: Taking taylor expansion of n in f 1.926 * [backup-simplify]: Simplify n into n 1.926 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.927 * [backup-simplify]: Simplify (+ 1 0) into 1 1.927 * [backup-simplify]: Simplify (+ 1 0) into 1 1.927 * [backup-simplify]: Simplify (/ 1 1) into 1 1.927 * [taylor]: Taking taylor expansion of 1 in n 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.928 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.929 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 1.929 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.930 * [taylor]: Taking taylor expansion of 2 in n 1.930 * [backup-simplify]: Simplify 2 into 2 1.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.930 * [taylor]: Taking taylor expansion of n in n 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 1.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.937 * [taylor]: Taking taylor expansion of 2 in n 1.937 * [backup-simplify]: Simplify 2 into 2 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.937 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.937 * [taylor]: Taking taylor expansion of n in n 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (* 1 1) into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.957 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.957 * [taylor]: Taking taylor expansion of 2 in n 1.957 * [backup-simplify]: Simplify 2 into 2 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.957 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.957 * [taylor]: Taking taylor expansion of n in n 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (* 1 1) into 1 1.958 * [backup-simplify]: Simplify (* 1 1) into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (- 0) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1.969 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.969 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.969 * [taylor]: Taking taylor expansion of -1 in n 1.969 * [backup-simplify]: Simplify -1 into -1 1.969 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.969 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.969 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.969 * [taylor]: Taking taylor expansion of n in n 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.969 * [taylor]: Taking taylor expansion of f in n 1.969 * [backup-simplify]: Simplify f into f 1.969 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.969 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.969 * [taylor]: Taking taylor expansion of f in n 1.970 * [backup-simplify]: Simplify f into f 1.970 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.970 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.970 * [taylor]: Taking taylor expansion of n in n 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify (+ 1 0) into 1 1.971 * [backup-simplify]: Simplify (+ 0 1) into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.971 * [taylor]: Taking taylor expansion of -1 in f 1.971 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.972 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.972 * [taylor]: Taking taylor expansion of n in f 1.972 * [backup-simplify]: Simplify n into n 1.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.972 * [taylor]: Taking taylor expansion of f in f 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.972 * [taylor]: Taking taylor expansion of f in f 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.973 * [taylor]: Taking taylor expansion of n in f 1.973 * [backup-simplify]: Simplify n into n 1.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.973 * [backup-simplify]: Simplify (- 1) into -1 1.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.974 * [backup-simplify]: Simplify (+ 1 0) into 1 1.975 * [backup-simplify]: Simplify (/ -1 1) into -1 1.975 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.975 * [taylor]: Taking taylor expansion of -1 in f 1.975 * [backup-simplify]: Simplify -1 into -1 1.975 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.975 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.975 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.975 * [taylor]: Taking taylor expansion of n in f 1.975 * [backup-simplify]: Simplify n into n 1.975 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.975 * [taylor]: Taking taylor expansion of f in f 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.975 * [taylor]: Taking taylor expansion of f in f 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.976 * [taylor]: Taking taylor expansion of n in f 1.976 * [backup-simplify]: Simplify n into n 1.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.976 * [backup-simplify]: Simplify (- 1) into -1 1.977 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.977 * [backup-simplify]: Simplify (+ 1 0) into 1 1.978 * [backup-simplify]: Simplify (/ -1 1) into -1 1.978 * [backup-simplify]: Simplify (* -1 -1) into 1 1.978 * [taylor]: Taking taylor expansion of 1 in n 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.979 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.980 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 1.981 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 1.981 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.981 * [taylor]: Taking taylor expansion of 2 in n 1.981 * [backup-simplify]: Simplify 2 into 2 1.981 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.989 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.989 * [taylor]: Taking taylor expansion of 2 in n 1.989 * [backup-simplify]: Simplify 2 into 2 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.989 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [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))) 2.002 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.002 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.003 * [taylor]: Taking taylor expansion of 2 in n 2.003 * [backup-simplify]: Simplify 2 into 2 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.003 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.003 * [taylor]: Taking taylor expansion of n in n 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (* 1 1) into 1 2.003 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.013 * [backup-simplify]: Simplify (/ (- 1) (/ (- f n) (+ n f))) into (* -1 (/ (+ n f) (- f n))) 2.013 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.013 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.013 * [taylor]: Taking taylor expansion of -1 in n 2.013 * [backup-simplify]: Simplify -1 into -1 2.013 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.013 * [taylor]: Taking taylor expansion of (+ n f) in n 2.013 * [taylor]: Taking taylor expansion of n in n 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [taylor]: Taking taylor expansion of f in n 2.013 * [backup-simplify]: Simplify f into f 2.013 * [taylor]: Taking taylor expansion of (- f n) in n 2.013 * [taylor]: Taking taylor expansion of f in n 2.013 * [backup-simplify]: Simplify f into f 2.013 * [taylor]: Taking taylor expansion of n in n 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (+ 0 f) into f 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify (+ f 0) into f 2.014 * [backup-simplify]: Simplify (/ f f) into 1 2.014 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.014 * [taylor]: Taking taylor expansion of -1 in f 2.014 * [backup-simplify]: Simplify -1 into -1 2.014 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.014 * [taylor]: Taking taylor expansion of (+ n f) in f 2.014 * [taylor]: Taking taylor expansion of n in f 2.014 * [backup-simplify]: Simplify n into n 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (- f n) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of n in f 2.014 * [backup-simplify]: Simplify n into n 2.014 * [backup-simplify]: Simplify (+ n 0) into n 2.014 * [backup-simplify]: Simplify (- n) into (- n) 2.014 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.014 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.014 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.014 * [taylor]: Taking taylor expansion of -1 in f 2.014 * [backup-simplify]: Simplify -1 into -1 2.014 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.014 * [taylor]: Taking taylor expansion of (+ n f) in f 2.014 * [taylor]: Taking taylor expansion of n in f 2.014 * [backup-simplify]: Simplify n into n 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (- f n) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of n in f 2.014 * [backup-simplify]: Simplify n into n 2.014 * [backup-simplify]: Simplify (+ n 0) into n 2.014 * [backup-simplify]: Simplify (- n) into (- n) 2.014 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.014 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.015 * [backup-simplify]: Simplify (* -1 -1) into 1 2.015 * [taylor]: Taking taylor expansion of 1 in n 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (+ 0 1) into 1 2.015 * [backup-simplify]: Simplify (- 0) into 0 2.015 * [backup-simplify]: Simplify (+ 1 0) into 1 2.016 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.016 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.016 * [taylor]: Taking taylor expansion of 2 in n 2.016 * [backup-simplify]: Simplify 2 into 2 2.016 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.016 * [taylor]: Taking taylor expansion of n in n 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (/ 1 1) into 1 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.019 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.019 * [taylor]: Taking taylor expansion of 2 in n 2.019 * [backup-simplify]: Simplify 2 into 2 2.019 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.019 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.019 * [taylor]: Taking taylor expansion of n in n 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (* 1 1) into 1 2.019 * [backup-simplify]: Simplify (/ 1 1) into 1 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [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)))) 2.025 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.025 * [taylor]: Taking taylor expansion of 2 in n 2.025 * [backup-simplify]: Simplify 2 into 2 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.025 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.025 * [taylor]: Taking taylor expansion of n in n 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.031 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.031 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.031 * [taylor]: Taking taylor expansion of -1 in n 2.031 * [backup-simplify]: Simplify -1 into -1 2.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.031 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.031 * [taylor]: Taking taylor expansion of f in n 2.031 * [backup-simplify]: Simplify f into f 2.031 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.031 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.031 * [taylor]: Taking taylor expansion of n in n 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.032 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.032 * [taylor]: Taking taylor expansion of f in n 2.032 * [backup-simplify]: Simplify f into f 2.032 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.032 * [taylor]: Taking taylor expansion of n in n 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [backup-simplify]: Simplify (+ 0 1) into 1 2.033 * [backup-simplify]: Simplify (- 1) into -1 2.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.033 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.033 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.033 * [taylor]: Taking taylor expansion of -1 in f 2.033 * [backup-simplify]: Simplify -1 into -1 2.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.033 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.033 * [taylor]: Taking taylor expansion of f in f 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.034 * [taylor]: Taking taylor expansion of n in f 2.034 * [backup-simplify]: Simplify n into n 2.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.034 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.034 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.034 * [taylor]: Taking taylor expansion of f in f 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.034 * [taylor]: Taking taylor expansion of n in f 2.034 * [backup-simplify]: Simplify n into n 2.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.035 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.035 * [taylor]: Taking taylor expansion of -1 in f 2.035 * [backup-simplify]: Simplify -1 into -1 2.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.035 * [taylor]: Taking taylor expansion of f in f 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.036 * [taylor]: Taking taylor expansion of n in f 2.036 * [backup-simplify]: Simplify n into n 2.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.036 * [taylor]: Taking taylor expansion of f in f 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.036 * [taylor]: Taking taylor expansion of n in f 2.036 * [backup-simplify]: Simplify n into n 2.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.037 * [backup-simplify]: Simplify (+ 1 0) into 1 2.037 * [backup-simplify]: Simplify (+ 1 0) into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [backup-simplify]: Simplify (* -1 1) into -1 2.037 * [taylor]: Taking taylor expansion of -1 in n 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.039 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.039 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.040 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.040 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.040 * [taylor]: Taking taylor expansion of 2 in n 2.040 * [backup-simplify]: Simplify 2 into 2 2.040 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.040 * [taylor]: Taking taylor expansion of n in n 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.045 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.048 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.048 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.048 * [taylor]: Taking taylor expansion of 2 in n 2.048 * [backup-simplify]: Simplify 2 into 2 2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.048 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.048 * [taylor]: Taking taylor expansion of n in n 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (* 1 1) into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.059 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [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))) 2.062 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.062 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.062 * [taylor]: Taking taylor expansion of 2 in n 2.062 * [backup-simplify]: Simplify 2 into 2 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.062 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.062 * [taylor]: Taking taylor expansion of n in n 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify -1 into -1 2.074 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.074 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.074 * [taylor]: Taking taylor expansion of f in n 2.074 * [backup-simplify]: Simplify f into f 2.074 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 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 (/ 1 1) into 1 2.075 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.075 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.075 * [taylor]: Taking taylor expansion of n in n 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.075 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.075 * [taylor]: Taking taylor expansion of f in n 2.076 * [backup-simplify]: Simplify f into f 2.076 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.076 * [backup-simplify]: Simplify (+ 0 1) into 1 2.076 * [backup-simplify]: Simplify (+ 1 0) into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.077 * [taylor]: Taking taylor expansion of f in f 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.077 * [taylor]: Taking taylor expansion of n in f 2.077 * [backup-simplify]: Simplify n into n 2.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.078 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.078 * [taylor]: Taking taylor expansion of n in f 2.078 * [backup-simplify]: Simplify n into n 2.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.078 * [taylor]: Taking taylor expansion of f in f 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [backup-simplify]: Simplify (+ 1 0) into 1 2.079 * [backup-simplify]: Simplify (- 1) into -1 2.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.080 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.080 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.080 * [taylor]: Taking taylor expansion of f in f 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.080 * [taylor]: Taking taylor expansion of n in f 2.080 * [backup-simplify]: Simplify n into n 2.081 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.081 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.081 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.081 * [taylor]: Taking taylor expansion of n in f 2.081 * [backup-simplify]: Simplify n into n 2.081 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.081 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.081 * [taylor]: Taking taylor expansion of f in f 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.084 * [backup-simplify]: Simplify (- 1) into -1 2.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.085 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.085 * [taylor]: Taking taylor expansion of -1 in n 2.085 * [backup-simplify]: Simplify -1 into -1 2.085 * [backup-simplify]: Simplify -1 into -1 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (- 0) into 0 2.087 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.087 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.087 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.087 * [taylor]: Taking taylor expansion of 2 in n 2.087 * [backup-simplify]: Simplify 2 into 2 2.088 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.088 * [taylor]: Taking taylor expansion of n in n 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.094 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.094 * [taylor]: Taking taylor expansion of 2 in n 2.094 * [backup-simplify]: Simplify 2 into 2 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.095 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (* 1 1) into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.101 * [backup-simplify]: Simplify (- 0) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [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)))) 2.109 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.109 * [taylor]: Taking taylor expansion of 2 in n 2.109 * [backup-simplify]: Simplify 2 into 2 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.109 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.109 * [taylor]: Taking taylor expansion of n in n 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify -1 into -1 2.121 * * * [progress]: simplifying candidates 2.134 * [simplify]: Simplifying: (- (log (- f n)) (log (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ n f)) (/ f (+ n f)) (/ n (+ n f)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ n f)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ n f)) (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ n f)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ 1 1) (/ (- f n) (+ n f)) (/ 1 1) (/ (- f n) (+ n f)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ n f))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ n f)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ 1 1) (/ (- f n) (+ n f)) (/ 1 1) (/ (- f n) (+ n f)) (/ 1 (+ n f)) (/ (+ n f) (- f n)) (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n)) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- f n)) (/ (- f n) (+ (pow n 3) (pow f 3))) (/ (- f n) (- (* n n) (* f f))) (* (+ n f) (+ (* f f) (+ (* n n) (* f n)))) (* (+ n f) (+ f n)) (- (log (- 1)) (- (log (- f n)) (log (+ n f)))) (- (log (- 1)) (log (/ (- f n) (+ n f)))) (log (/ (- 1) (/ (- f n) (+ n f)))) (exp (/ (- 1) (/ (- f n) (+ n f)))) (/ (* (* (- 1) (- 1)) (- 1)) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f)))) (/ (* (* (- 1) (- 1)) (- 1)) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f)))) (* (cbrt (/ (- 1) (/ (- f n) (+ n f)))) (cbrt (/ (- 1) (/ (- f n) (+ n f))))) (cbrt (/ (- 1) (/ (- f n) (+ n f)))) (* (* (/ (- 1) (/ (- f n) (+ n f))) (/ (- 1) (/ (- f n) (+ n f)))) (/ (- 1) (/ (- f n) (+ n f)))) (sqrt (/ (- 1) (/ (- f n) (+ n f)))) (sqrt (/ (- 1) (/ (- f n) (+ n f)))) (- (- 1)) (- (/ (- f n) (+ n f))) (/ 0 (/ (- f n) (+ n f))) (/ 1 (/ (- f n) (+ n f))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ (cbrt (- 1)) (cbrt (/ (- f n) (+ n f)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (sqrt (/ (- f n) (+ n f)))) (/ (cbrt (- 1)) (sqrt (/ (- f n) (+ n f)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))))) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f)))) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (sqrt (+ n f)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (+ n f))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (+ n f))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) (* (cbrt (+ 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18733 2.784 * * [simplify]: Extracting #7: cost 0 inf + 18738 2.798 * [simplify]: Simplified to: (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (/ (pow (- f n) 3) (pow (+ n f) 3)) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (pow (/ (- f n) (+ n f)) 3) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ n f)) (/ f (+ n f)) (/ n (+ n f)) (/ (* (/ (cbrt (- f n)) (cbrt (+ n f))) (cbrt (- f n))) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (/ 1 (* (cbrt (+ 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n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ n f))) (/ -1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ n f))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* 1 (cbrt (+ n f))) (- f n)) (- (sqrt (+ n f))) (/ (* 1 (sqrt (+ n f))) (- f n)) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) (/ -1 (- f n)) (+ n f) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (/ 1 (+ (* f (- f n)) (* n n))) (* (/ -1 (- f n)) (* (+ n f) (- n f))) (/ 1 (- n f)) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ 1 (cbrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ (* -1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* 1 (cbrt (+ n f))) (cbrt (- f n))) (/ (* -1 (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* 1 (sqrt (+ n f))) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ 1 (cbrt (- f n))) (+ n f)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ 1 (cbrt (- f n))) (+ n f)) (* (/ (* -1 (cbrt (+ n f))) (sqrt (- f n))) (cbrt (+ n f))) (/ (* 1 (cbrt (+ n f))) (sqrt (- f n))) (/ (* -1 (sqrt (+ n f))) (sqrt (- f n))) (* (/ 1 (sqrt (- f n))) (sqrt (+ n f))) (/ -1 (sqrt (- f n))) (/ (* 1 (+ n f)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (* 1 (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* 1 (cbrt (+ n f))) (- f n)) (- (sqrt (+ n f))) (/ (* 1 (sqrt (+ n f))) (- f n)) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) (* (* (/ -1 (+ (sqrt f) (sqrt n))) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* 1 (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (/ -1 (+ (sqrt f) (sqrt n))) (sqrt (+ n f))) (/ 1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f)))) (/ -1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ n f))) (/ -1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ n f))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* 1 (cbrt (+ n f))) (- f n)) (- (sqrt (+ n f))) (/ (* 1 (sqrt (+ n f))) (- f n)) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) (/ -1 (- f n)) (+ n f) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (/ 1 (+ (* f (- f n)) (* n n))) (* (/ -1 (- f n)) (* (+ n f) (- n f))) (/ 1 (- n f)) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ 1 (cbrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ (* -1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* 1 (cbrt (+ n f))) (cbrt (- f n))) (/ (* -1 (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* 1 (sqrt (+ n f))) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ 1 (cbrt (- f n))) (+ n f)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ 1 (cbrt (- f n))) (+ n f)) (* (/ (* -1 (cbrt (+ n f))) (sqrt (- f n))) (cbrt (+ n f))) (/ (* 1 (cbrt (+ n f))) (sqrt (- f n))) (/ (* -1 (sqrt (+ n f))) (sqrt (- f n))) (/ (* 1 (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* (/ 1 (sqrt (- f n))) (+ n f)) (/ -1 (sqrt (- f n))) (* (/ 1 (sqrt (- f n))) (+ n f)) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* 1 (cbrt (+ n f))) (- f n)) (- (sqrt (+ n f))) (* (/ 1 (- f n)) (sqrt (+ n f))) -1 (* (/ 1 (- f n)) (+ n f)) -1 (* (/ 1 (- f n)) (+ n f)) (* (* (/ -1 (+ (sqrt f) (sqrt n))) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* 1 (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (/ -1 (+ (sqrt f) (sqrt n))) (sqrt (+ n f))) (* (/ 1 (- (sqrt f) (sqrt n))) (sqrt (+ n f))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (* 1 (+ n f)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (* 1 (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* 1 (cbrt (+ n f))) (- f n)) (- (sqrt (+ n f))) (* (/ 1 (- f n)) (sqrt (+ n f))) -1 (* (/ 1 (- f n)) (+ n f)) -1 (* (/ 1 (- f n)) (+ n f)) -1 (* (/ 1 (- f n)) (+ n f)) (/ -1 (- f n)) (+ n f) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (/ 1 (+ (* f (- f n)) (* n n))) (* (/ -1 (- f n)) (* (+ n f) (- n f))) (/ 1 (- n f)) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ 1 (cbrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ (* -1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* 1 (cbrt (+ n f))) (cbrt (- f n))) (/ (* -1 (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* 1 (sqrt (+ n f))) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ 1 (cbrt (- f n))) (+ n f)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ 1 (cbrt (- f n))) (+ n f)) (* (/ (* -1 (cbrt (+ n f))) (sqrt (- f n))) (cbrt (+ n f))) (/ (* 1 (cbrt (+ n f))) (sqrt (- f n))) (/ (* -1 (sqrt (+ n f))) (sqrt (- f n))) (* (/ 1 (sqrt (- f n))) (sqrt (+ n f))) (/ -1 (sqrt (- f n))) (/ (* 1 (+ n f)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (* 1 (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* 1 (cbrt (+ n f))) (- f n)) (- (sqrt (+ n f))) (/ (* 1 (sqrt (+ n f))) (- f n)) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) (* (* (/ -1 (+ (sqrt f) (sqrt n))) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* 1 (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (/ -1 (+ (sqrt f) (sqrt n))) (sqrt (+ n f))) (/ 1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f)))) (/ -1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ n f))) (/ -1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ n f))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (* 1 (cbrt (+ n f))) (- f n)) (- (sqrt (+ n f))) (/ (* 1 (sqrt (+ n f))) (- f n)) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) -1 (/ 1 (/ (- f n) (+ n f))) (/ -1 (- f n)) (+ n f) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (/ 1 (+ (* f (- f n)) (* n n))) (* (/ -1 (- f n)) (* (+ n f) (- n f))) (/ 1 (- n f)) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ 1 (/ (* (/ (cbrt (- f n)) (cbrt (+ n f))) (cbrt (- f n))) (cbrt (+ n f)))) (/ (* -1 (cbrt (+ n f))) (cbrt (- f n))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (+ n f))) (/ (* -1 (sqrt (+ n f))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ (* 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (* -1 (cbrt (+ n f))) (sqrt (- f n))) (* (/ 1 (sqrt (- f n))) (sqrt (+ n f))) (/ (* -1 (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (* -1 (sqrt (+ n f))) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) (/ (* 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (cbrt (+ n f))) (/ (* 1 (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (sqrt (+ n f))) (/ 1 (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (+ n f)) (/ 1 (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (+ n f)) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (* -1 (sqrt (+ n f))) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) (/ 1 (- f n)) (- (+ n f)) (* (/ 1 (- f n)) (+ (pow f 3) (pow n 3))) (/ -1 (+ (* f (- f n)) (* n n))) (* (/ 1 (- f n)) (* (+ n f) (- n f))) (/ -1 (- n f)) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ (* 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (cbrt (+ n f))) (cbrt (- f n))) (/ (* 1 (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (sqrt (+ n f))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f))))) (/ (* -1 (cbrt (+ n f))) (sqrt (- f n))) (/ (* 1 (sqrt (+ n f))) (sqrt (- f n))) (/ (* -1 (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (* -1 (sqrt (+ n f))) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) (* (* (/ 1 (+ (sqrt f) (sqrt n))) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ -1 (- (sqrt f) (sqrt n))) (cbrt (+ n f))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ n f)))) (* (/ -1 (- (sqrt f) (sqrt n))) (sqrt (+ n f))) (/ 1 (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (+ n f)) (/ 1 (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (+ n f)) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (* -1 (sqrt (+ n f))) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) (/ 1 (- f n)) (- (+ n f)) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f (- f n)) (* n n))) (* (/ 1 (- f n)) (* (+ n f) (- n f))) (/ -1 (- n f)) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ 1 (/ (* (/ (cbrt (- f n)) (cbrt (+ n f))) (cbrt (- f n))) (cbrt (+ n f)))) (/ (* -1 (cbrt (+ n f))) (cbrt (- f n))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (+ n f))) (/ (* -1 (sqrt (+ n f))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ (* 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (* -1 (cbrt (+ n f))) (sqrt (- f n))) (* (/ 1 (sqrt (- f n))) (sqrt (+ n f))) (/ (* -1 (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (* -1 (sqrt (+ n f))) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) (/ (* 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (cbrt (+ n f))) (/ (* 1 (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (sqrt (+ n f))) (/ 1 (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (+ n f)) (/ 1 (+ (sqrt f) (sqrt n))) (* (/ -1 (- (sqrt f) (sqrt n))) (+ n f)) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (* -1 (sqrt (+ n f))) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) 1 (/ (* -1 (+ n f)) (- f n)) (/ 1 (- f n)) (- (+ n f)) (* (/ 1 (- f n)) (+ (pow f 3) (pow n 3))) (/ -1 (+ (* f (- f n)) (* n n))) (* (/ 1 (- f n)) (* (+ n f) (- n f))) (/ -1 (- n f)) (/ 1 (/ (- f n) (+ n f))) (/ (- f n) (- (+ n f))) (/ 1 (/ (- f n) (+ n f))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ (* -1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ (* -1 (cbrt (+ n f))) (sqrt (- f n))) (cbrt (+ n f))) (/ (* -1 (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 (* (* (/ -1 (+ (sqrt f) (sqrt n))) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ -1 (+ (sqrt f) (sqrt n))) (sqrt (+ n f))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (* (+ n f) (- n f))) (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ -1 (- f n)) -1 1 1 1 -1 -1 2.804 * * * [progress]: adding candidates to table 3.661 * * [progress]: iteration 3 / 4 3.661 * * * [progress]: picking best candidate 3.675 * * * * [pick]: Picked # 3.675 * * * [progress]: localizing error 3.692 * * * [progress]: generating rewritten candidates 3.692 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.774 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.793 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.810 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.985 * * * [progress]: generating series expansions 3.986 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.986 * [backup-simplify]: Simplify (- (/ f (+ n f)) (/ n (+ n f))) into (- (/ f (+ n f)) (/ n (+ n f))) 3.986 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 3.986 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 3.986 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 3.986 * [taylor]: Taking taylor expansion of f in n 3.986 * [backup-simplify]: Simplify f into f 3.986 * [taylor]: Taking taylor expansion of (+ n f) in n 3.986 * [taylor]: Taking taylor expansion of n in n 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of f in n 3.986 * [backup-simplify]: Simplify f into f 3.986 * [backup-simplify]: Simplify (+ 0 f) into f 3.986 * [backup-simplify]: Simplify (/ f f) into 1 3.986 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 3.986 * [taylor]: Taking taylor expansion of n in n 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (+ n f) in n 3.986 * [taylor]: Taking taylor expansion of n in n 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of f in n 3.986 * [backup-simplify]: Simplify f into f 3.986 * [backup-simplify]: Simplify (+ 0 f) into f 3.986 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.986 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 3.987 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 3.987 * [taylor]: Taking taylor expansion of f in f 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [taylor]: Taking taylor expansion of (+ n f) in f 3.987 * [taylor]: Taking taylor expansion of n in f 3.987 * [backup-simplify]: Simplify n into n 3.987 * [taylor]: Taking taylor expansion of f in f 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (+ n 0) into n 3.987 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.987 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 3.987 * [taylor]: Taking taylor expansion of n in f 3.987 * [backup-simplify]: Simplify n into n 3.987 * [taylor]: Taking taylor expansion of (+ n f) in f 3.987 * [taylor]: Taking taylor expansion of n in f 3.987 * [backup-simplify]: Simplify n into n 3.987 * [taylor]: Taking taylor expansion of f in f 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (+ n 0) into n 3.987 * [backup-simplify]: Simplify (/ n n) into 1 3.987 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 3.987 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 3.987 * [taylor]: Taking taylor expansion of f in f 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [taylor]: Taking taylor expansion of (+ n f) in f 3.987 * [taylor]: Taking taylor expansion of n in f 3.987 * [backup-simplify]: Simplify n into n 3.987 * [taylor]: Taking taylor expansion of f in f 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (+ n 0) into n 3.987 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.987 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 3.988 * [taylor]: Taking taylor expansion of n in f 3.988 * [backup-simplify]: Simplify n into n 3.988 * [taylor]: Taking taylor expansion of (+ n f) in f 3.988 * [taylor]: Taking taylor expansion of n in f 3.988 * [backup-simplify]: Simplify n into n 3.988 * [taylor]: Taking taylor expansion of f in f 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [backup-simplify]: Simplify (+ n 0) into n 3.988 * [backup-simplify]: Simplify (/ n n) into 1 3.989 * [backup-simplify]: Simplify (- 1) into -1 3.989 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.989 * [taylor]: Taking taylor expansion of -1 in n 3.989 * [backup-simplify]: Simplify -1 into -1 3.989 * [backup-simplify]: Simplify -1 into -1 3.990 * [backup-simplify]: Simplify (+ 0 1) into 1 3.990 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 3.990 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 3.990 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 3.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.990 * [taylor]: Taking taylor expansion of 2 in n 3.990 * [backup-simplify]: Simplify 2 into 2 3.990 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.990 * [taylor]: Taking taylor expansion of n in n 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (+ 0 1) into 1 3.994 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 3.995 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.995 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 3.995 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.995 * [taylor]: Taking taylor expansion of 2 in n 3.995 * [backup-simplify]: Simplify 2 into 2 3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.995 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.995 * [taylor]: Taking taylor expansion of n in n 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (* 1 1) into 1 3.996 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.001 * [backup-simplify]: Simplify (- 0) into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 4.011 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 4.011 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 4.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.011 * [taylor]: Taking taylor expansion of 2 in n 4.011 * [backup-simplify]: Simplify 2 into 2 4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.011 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.011 * [taylor]: Taking taylor expansion of n in n 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify -1 into -1 4.022 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 4.022 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 4.022 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 4.022 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.022 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.022 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.022 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.022 * [taylor]: Taking taylor expansion of f in n 4.022 * [backup-simplify]: Simplify f into f 4.022 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.022 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.022 * [taylor]: Taking taylor expansion of n in n 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of f in n 4.022 * [backup-simplify]: Simplify f into f 4.023 * [backup-simplify]: Simplify (+ 0 1) into 1 4.023 * [backup-simplify]: Simplify (* 1 f) into f 4.023 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.023 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.023 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.023 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.023 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.023 * [taylor]: Taking taylor expansion of f in n 4.023 * [backup-simplify]: Simplify f into f 4.023 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.023 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.023 * [taylor]: Taking taylor expansion of n in n 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (/ 1 1) into 1 4.024 * [taylor]: Taking taylor expansion of n in n 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (+ 0 1) into 1 4.025 * [backup-simplify]: Simplify (* 1 0) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.026 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.026 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.026 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.026 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.026 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.026 * [taylor]: Taking taylor expansion of f in f 4.026 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (/ 1 1) into 1 4.027 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.027 * [taylor]: Taking taylor expansion of n in f 4.027 * [backup-simplify]: Simplify n into n 4.027 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.027 * [taylor]: Taking taylor expansion of f in f 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (+ 1 0) into 1 4.028 * [backup-simplify]: Simplify (* 1 0) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.029 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.030 * [backup-simplify]: Simplify (/ 1 1) into 1 4.030 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.030 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.030 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.030 * [taylor]: Taking taylor expansion of f in f 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (/ 1 1) into 1 4.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.031 * [taylor]: Taking taylor expansion of n in f 4.031 * [backup-simplify]: Simplify n into n 4.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.031 * [taylor]: Taking taylor expansion of n in f 4.031 * [backup-simplify]: Simplify n into n 4.031 * [backup-simplify]: Simplify (+ 1 0) into 1 4.031 * [backup-simplify]: Simplify (* 1 n) into n 4.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.031 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.032 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.032 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.032 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.032 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.032 * [taylor]: Taking taylor expansion of f in f 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (/ 1 1) into 1 4.032 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.032 * [taylor]: Taking taylor expansion of n in f 4.032 * [backup-simplify]: Simplify n into n 4.032 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.032 * [taylor]: Taking taylor expansion of f in f 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify (+ 1 0) into 1 4.033 * [backup-simplify]: Simplify (* 1 0) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.034 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.035 * [taylor]: Taking taylor expansion of f in f 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.035 * [taylor]: Taking taylor expansion of n in f 4.035 * [backup-simplify]: Simplify n into n 4.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.035 * [taylor]: Taking taylor expansion of n in f 4.035 * [backup-simplify]: Simplify n into n 4.036 * [backup-simplify]: Simplify (+ 1 0) into 1 4.036 * [backup-simplify]: Simplify (* 1 n) into n 4.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.036 * [backup-simplify]: Simplify (+ 1 0) into 1 4.036 * [taylor]: Taking taylor expansion of 1 in n 4.036 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.038 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.039 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.039 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 4.039 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.039 * [taylor]: Taking taylor expansion of 2 in n 4.039 * [backup-simplify]: Simplify 2 into 2 4.039 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.039 * [taylor]: Taking taylor expansion of n in n 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 4.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.047 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 4.047 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 4.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.047 * [taylor]: Taking taylor expansion of 2 in n 4.047 * [backup-simplify]: Simplify 2 into 2 4.047 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.047 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.047 * [taylor]: Taking taylor expansion of n in n 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify (* 1 1) into 1 4.048 * [backup-simplify]: Simplify (/ 1 1) into 1 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.052 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.061 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 4.061 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 4.061 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.061 * [taylor]: Taking taylor expansion of 2 in n 4.061 * [backup-simplify]: Simplify 2 into 2 4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.061 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.061 * [taylor]: Taking taylor expansion of n in n 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (* 1 1) into 1 4.062 * [backup-simplify]: Simplify (* 1 1) into 1 4.062 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 4.073 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 4.073 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 4.073 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.073 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.073 * [taylor]: Taking taylor expansion of f in n 4.073 * [backup-simplify]: Simplify f into f 4.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.073 * [taylor]: Taking taylor expansion of n in n 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [taylor]: Taking taylor expansion of f in n 4.074 * [backup-simplify]: Simplify f into f 4.074 * [backup-simplify]: Simplify (+ 0 1) into 1 4.074 * [backup-simplify]: Simplify (* 1 f) into f 4.074 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.074 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.074 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.074 * [taylor]: Taking taylor expansion of f in n 4.074 * [backup-simplify]: Simplify f into f 4.074 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.074 * [taylor]: Taking taylor expansion of n in n 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [taylor]: Taking taylor expansion of n in n 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (+ 0 1) into 1 4.076 * [backup-simplify]: Simplify (* 1 0) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.077 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.077 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.078 * [taylor]: Taking taylor expansion of f in f 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ 1 1) into 1 4.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.078 * [taylor]: Taking taylor expansion of n in f 4.078 * [backup-simplify]: Simplify n into n 4.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.078 * [taylor]: Taking taylor expansion of f in f 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify (+ 1 0) into 1 4.079 * [backup-simplify]: Simplify (* 1 0) into 0 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.080 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.081 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.081 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.081 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.081 * [taylor]: Taking taylor expansion of f in f 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.081 * [taylor]: Taking taylor expansion of n in f 4.081 * [backup-simplify]: Simplify n into n 4.081 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.081 * [taylor]: Taking taylor expansion of n in f 4.081 * [backup-simplify]: Simplify n into n 4.082 * [backup-simplify]: Simplify (+ 1 0) into 1 4.082 * [backup-simplify]: Simplify (* 1 n) into n 4.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.082 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.082 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.082 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.082 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.082 * [taylor]: Taking taylor expansion of f in f 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.083 * [taylor]: Taking taylor expansion of n in f 4.083 * [backup-simplify]: Simplify n into n 4.083 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.083 * [taylor]: Taking taylor expansion of f in f 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (+ 1 0) into 1 4.084 * [backup-simplify]: Simplify (* 1 0) into 0 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.085 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.085 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.085 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.085 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.085 * [taylor]: Taking taylor expansion of f in f 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.086 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.086 * [taylor]: Taking taylor expansion of n in f 4.086 * [backup-simplify]: Simplify n into n 4.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.086 * [taylor]: Taking taylor expansion of n in f 4.086 * [backup-simplify]: Simplify n into n 4.086 * [backup-simplify]: Simplify (+ 1 0) into 1 4.086 * [backup-simplify]: Simplify (* 1 n) into n 4.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.087 * [backup-simplify]: Simplify (+ 1 0) into 1 4.087 * [taylor]: Taking taylor expansion of 1 in n 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.090 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.090 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 4.090 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.090 * [taylor]: Taking taylor expansion of 2 in n 4.090 * [backup-simplify]: Simplify 2 into 2 4.090 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.090 * [taylor]: Taking taylor expansion of n in n 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.094 * [backup-simplify]: Simplify (+ 0 0) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 4.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.097 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 4.098 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 4.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.098 * [taylor]: Taking taylor expansion of 2 in n 4.098 * [backup-simplify]: Simplify 2 into 2 4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.098 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.098 * [taylor]: Taking taylor expansion of n in n 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (/ 1 1) into 1 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.105 * [backup-simplify]: Simplify (- 0) into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 4.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.112 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 4.113 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 4.113 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.113 * [taylor]: Taking taylor expansion of 2 in n 4.113 * [backup-simplify]: Simplify 2 into 2 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.113 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.113 * [taylor]: Taking taylor expansion of n in n 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (- 0) into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.124 * [backup-simplify]: Simplify (/ f (+ n f)) into (/ f (+ n f)) 4.124 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 4.124 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 4.124 * [taylor]: Taking taylor expansion of f in n 4.125 * [backup-simplify]: Simplify f into f 4.125 * [taylor]: Taking taylor expansion of (+ n f) in n 4.125 * [taylor]: Taking taylor expansion of n in n 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of f in n 4.125 * [backup-simplify]: Simplify f into f 4.125 * [backup-simplify]: Simplify (+ 0 f) into f 4.125 * [backup-simplify]: Simplify (/ f f) into 1 4.125 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.125 * [taylor]: Taking taylor expansion of f in f 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of (+ n f) in f 4.125 * [taylor]: Taking taylor expansion of n in f 4.125 * [backup-simplify]: Simplify n into n 4.125 * [taylor]: Taking taylor expansion of f in f 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (+ n 0) into n 4.125 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.125 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.125 * [taylor]: Taking taylor expansion of f in f 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of (+ n f) in f 4.125 * [taylor]: Taking taylor expansion of n in f 4.125 * [backup-simplify]: Simplify n into n 4.125 * [taylor]: Taking taylor expansion of f in f 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (+ n 0) into n 4.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.126 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.126 * [taylor]: Taking taylor expansion of n in n 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (/ 1 1) into 1 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (+ 0 1) into 1 4.128 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 4.128 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.128 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.128 * [taylor]: Taking taylor expansion of n in n 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.129 * [backup-simplify]: Simplify (/ 1 1) into 1 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (- 0) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.134 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.134 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.134 * [taylor]: Taking taylor expansion of n in n 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (- 0) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 4.147 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 4.147 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.147 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.147 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.147 * [taylor]: Taking taylor expansion of f in n 4.147 * [backup-simplify]: Simplify f into f 4.147 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.147 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.147 * [taylor]: Taking taylor expansion of n in n 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (/ 1 1) into 1 4.148 * [taylor]: Taking taylor expansion of f in n 4.148 * [backup-simplify]: Simplify f into f 4.148 * [backup-simplify]: Simplify (+ 0 1) into 1 4.148 * [backup-simplify]: Simplify (* 1 f) into f 4.148 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.148 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.148 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.148 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.148 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.148 * [taylor]: Taking taylor expansion of f in f 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.149 * [taylor]: Taking taylor expansion of n in f 4.149 * [backup-simplify]: Simplify n into n 4.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.149 * [taylor]: Taking taylor expansion of f in f 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (+ 1 0) into 1 4.150 * [backup-simplify]: Simplify (* 1 0) into 0 4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.151 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.152 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.152 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.152 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.152 * [taylor]: Taking taylor expansion of f in f 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.152 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.152 * [taylor]: Taking taylor expansion of n in f 4.152 * [backup-simplify]: Simplify n into n 4.152 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.152 * [taylor]: Taking taylor expansion of f in f 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (+ 1 0) into 1 4.156 * [backup-simplify]: Simplify (* 1 0) into 0 4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.158 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.158 * [backup-simplify]: Simplify (/ 1 1) into 1 4.158 * [taylor]: Taking taylor expansion of 1 in n 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.160 * [backup-simplify]: Simplify (+ 0 0) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.161 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 4.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.161 * [taylor]: Taking taylor expansion of n in n 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (/ 1 1) into 1 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (- 0) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.165 * [backup-simplify]: Simplify (+ 0 0) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.167 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.167 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.167 * [taylor]: Taking taylor expansion of n in n 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify (/ 1 1) into 1 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 4.175 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 4.175 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.175 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.175 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.175 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.175 * [taylor]: Taking taylor expansion of f in n 4.175 * [backup-simplify]: Simplify f into f 4.175 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.175 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.175 * [taylor]: Taking taylor expansion of n in n 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (/ 1 1) into 1 4.176 * [taylor]: Taking taylor expansion of f in n 4.176 * [backup-simplify]: Simplify f into f 4.176 * [backup-simplify]: Simplify (+ 0 1) into 1 4.176 * [backup-simplify]: Simplify (* 1 f) into f 4.176 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.176 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.176 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.176 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.176 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.176 * [taylor]: Taking taylor expansion of f in f 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (/ 1 1) into 1 4.177 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.177 * [taylor]: Taking taylor expansion of n in f 4.177 * [backup-simplify]: Simplify n into n 4.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.177 * [taylor]: Taking taylor expansion of f in f 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (+ 1 0) into 1 4.178 * [backup-simplify]: Simplify (* 1 0) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.179 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.180 * [backup-simplify]: Simplify (/ 1 1) into 1 4.180 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.180 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.180 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.180 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.180 * [taylor]: Taking taylor expansion of f in f 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (/ 1 1) into 1 4.180 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.180 * [taylor]: Taking taylor expansion of n in f 4.180 * [backup-simplify]: Simplify n into n 4.180 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.180 * [taylor]: Taking taylor expansion of f in f 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (+ 1 0) into 1 4.181 * [backup-simplify]: Simplify (* 1 0) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.183 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.183 * [backup-simplify]: Simplify (/ 1 1) into 1 4.183 * [taylor]: Taking taylor expansion of 1 in n 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.186 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 4.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.186 * [taylor]: Taking taylor expansion of n in n 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (/ 1 1) into 1 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (- 0) into 0 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.192 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.192 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.192 * [taylor]: Taking taylor expansion of n in n 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (* 1 1) into 1 4.193 * [backup-simplify]: Simplify (/ 1 1) into 1 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (- 0) into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.200 * [backup-simplify]: Simplify (/ n (+ n f)) into (/ n (+ n f)) 4.200 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 4.200 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 4.200 * [taylor]: Taking taylor expansion of n in f 4.200 * [backup-simplify]: Simplify n into n 4.200 * [taylor]: Taking taylor expansion of (+ n f) in f 4.200 * [taylor]: Taking taylor expansion of n in f 4.200 * [backup-simplify]: Simplify n into n 4.200 * [taylor]: Taking taylor expansion of f in f 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.201 * [backup-simplify]: Simplify (+ n 0) into n 4.201 * [backup-simplify]: Simplify (/ n n) into 1 4.201 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 4.201 * [taylor]: Taking taylor expansion of n in n 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of (+ n f) in n 4.201 * [taylor]: Taking taylor expansion of n in n 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of f in n 4.201 * [backup-simplify]: Simplify f into f 4.201 * [backup-simplify]: Simplify (+ 0 f) into f 4.201 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.201 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 4.201 * [taylor]: Taking taylor expansion of n in n 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of (+ n f) in n 4.201 * [taylor]: Taking taylor expansion of n in n 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of f in n 4.201 * [backup-simplify]: Simplify f into f 4.201 * [backup-simplify]: Simplify (+ 0 f) into f 4.201 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.202 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.202 * [taylor]: Taking taylor expansion of f in f 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (+ 1 0) into 1 4.204 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 4.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.204 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.204 * [taylor]: Taking taylor expansion of f in f 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (/ 1 1) into 1 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (- 0) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (+ 0 0) into 0 4.210 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 4.210 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 4.210 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.210 * [taylor]: Taking taylor expansion of f in f 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (* 1 1) into 1 4.211 * [backup-simplify]: Simplify (* 1 1) into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (- 0) into 0 4.223 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 n) (/ 1 f))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 4.225 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 4.225 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.225 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.225 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.225 * [taylor]: Taking taylor expansion of f in f 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (/ 1 1) into 1 4.225 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.225 * [taylor]: Taking taylor expansion of n in f 4.225 * [backup-simplify]: Simplify n into n 4.226 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.226 * [taylor]: Taking taylor expansion of n in f 4.226 * [backup-simplify]: Simplify n into n 4.226 * [backup-simplify]: Simplify (+ 1 0) into 1 4.226 * [backup-simplify]: Simplify (* 1 n) into n 4.226 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.226 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.226 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.226 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.226 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.226 * [taylor]: Taking taylor expansion of f in n 4.226 * [backup-simplify]: Simplify f into f 4.226 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.227 * [taylor]: Taking taylor expansion of n in n 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [backup-simplify]: Simplify (/ 1 1) into 1 4.227 * [taylor]: Taking taylor expansion of n in n 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (+ 0 1) into 1 4.228 * [backup-simplify]: Simplify (* 1 0) into 0 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.229 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.230 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.230 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.230 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.230 * [taylor]: Taking taylor expansion of f in n 4.230 * [backup-simplify]: Simplify f into f 4.230 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.230 * [taylor]: Taking taylor expansion of n in n 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of n in n 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (+ 0 1) into 1 4.232 * [backup-simplify]: Simplify (* 1 0) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.233 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.233 * [backup-simplify]: Simplify (/ 1 1) into 1 4.233 * [taylor]: Taking taylor expansion of 1 in f 4.233 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 4.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 4.236 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 4.236 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.236 * [taylor]: Taking taylor expansion of f in f 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (- 0) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.240 * [backup-simplify]: Simplify (+ 0 0) into 0 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 4.241 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.241 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.241 * [taylor]: Taking taylor expansion of f in f 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (* 1 1) into 1 4.242 * [backup-simplify]: Simplify (/ 1 1) into 1 4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (- 0) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 4.249 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 4.249 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.249 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.249 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.249 * [taylor]: Taking taylor expansion of f in f 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.249 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.249 * [taylor]: Taking taylor expansion of n in f 4.249 * [backup-simplify]: Simplify n into n 4.249 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.249 * [taylor]: Taking taylor expansion of n in f 4.249 * [backup-simplify]: Simplify n into n 4.250 * [backup-simplify]: Simplify (+ 1 0) into 1 4.250 * [backup-simplify]: Simplify (* 1 n) into n 4.250 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.250 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.250 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.250 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.250 * [taylor]: Taking taylor expansion of f in n 4.250 * [backup-simplify]: Simplify f into f 4.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.250 * [taylor]: Taking taylor expansion of n in n 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [taylor]: Taking taylor expansion of n in n 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (+ 0 1) into 1 4.251 * [backup-simplify]: Simplify (* 1 0) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.253 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.253 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.253 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.253 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.253 * [taylor]: Taking taylor expansion of f in n 4.253 * [backup-simplify]: Simplify f into f 4.253 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.253 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.253 * [taylor]: Taking taylor expansion of n in n 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (/ 1 1) into 1 4.254 * [taylor]: Taking taylor expansion of n in n 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (+ 0 1) into 1 4.254 * [backup-simplify]: Simplify (* 1 0) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.256 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.256 * [backup-simplify]: Simplify (/ 1 1) into 1 4.256 * [taylor]: Taking taylor expansion of 1 in f 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 4.259 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 4.259 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.259 * [taylor]: Taking taylor expansion of f in f 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- 0) into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 4.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 4.266 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.266 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.266 * [taylor]: Taking taylor expansion of f in f 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (* 1 1) into 1 4.267 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (- 0) into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.276 * [backup-simplify]: Simplify (/ (- 1) (- (/ f (+ n f)) (/ n (+ n f)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 4.276 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 4.276 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 4.276 * [taylor]: Taking taylor expansion of -1 in n 4.276 * [backup-simplify]: Simplify -1 into -1 4.276 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 4.276 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 4.276 * [taylor]: Taking taylor expansion of f in n 4.276 * [backup-simplify]: Simplify f into f 4.276 * [taylor]: Taking taylor expansion of (+ n f) in n 4.276 * [taylor]: Taking taylor expansion of n in n 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [taylor]: Taking taylor expansion of f in n 4.276 * [backup-simplify]: Simplify f into f 4.276 * [backup-simplify]: Simplify (+ 0 f) into f 4.276 * [backup-simplify]: Simplify (/ f f) into 1 4.276 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 4.276 * [taylor]: Taking taylor expansion of n in n 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [taylor]: Taking taylor expansion of (+ n f) in n 4.276 * [taylor]: Taking taylor expansion of n in n 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [taylor]: Taking taylor expansion of f in n 4.277 * [backup-simplify]: Simplify f into f 4.277 * [backup-simplify]: Simplify (+ 0 f) into f 4.277 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.277 * [backup-simplify]: Simplify (+ 1 0) into 1 4.278 * [backup-simplify]: Simplify (/ -1 1) into -1 4.278 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 4.278 * [taylor]: Taking taylor expansion of -1 in f 4.278 * [backup-simplify]: Simplify -1 into -1 4.278 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 4.278 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.278 * [taylor]: Taking taylor expansion of f in f 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.278 * [taylor]: Taking taylor expansion of (+ n f) in f 4.278 * [taylor]: Taking taylor expansion of n in f 4.278 * [backup-simplify]: Simplify n into n 4.278 * [taylor]: Taking taylor expansion of f in f 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (+ n 0) into n 4.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.278 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 4.278 * [taylor]: Taking taylor expansion of n in f 4.278 * [backup-simplify]: Simplify n into n 4.278 * [taylor]: Taking taylor expansion of (+ n f) in f 4.278 * [taylor]: Taking taylor expansion of n in f 4.278 * [backup-simplify]: Simplify n into n 4.278 * [taylor]: Taking taylor expansion of f in f 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (+ n 0) into n 4.279 * [backup-simplify]: Simplify (/ n n) into 1 4.279 * [backup-simplify]: Simplify (- 1) into -1 4.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.280 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.280 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 4.280 * [taylor]: Taking taylor expansion of -1 in f 4.280 * [backup-simplify]: Simplify -1 into -1 4.280 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 4.280 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 4.280 * [taylor]: Taking taylor expansion of f in f 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [taylor]: Taking taylor expansion of (+ n f) in f 4.280 * [taylor]: Taking taylor expansion of n in f 4.280 * [backup-simplify]: Simplify n into n 4.280 * [taylor]: Taking taylor expansion of f in f 4.280 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (+ n 0) into n 4.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.281 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 4.281 * [taylor]: Taking taylor expansion of n in f 4.281 * [backup-simplify]: Simplify n into n 4.281 * [taylor]: Taking taylor expansion of (+ n f) in f 4.281 * [taylor]: Taking taylor expansion of n in f 4.281 * [backup-simplify]: Simplify n into n 4.281 * [taylor]: Taking taylor expansion of f in f 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (+ n 0) into n 4.281 * [backup-simplify]: Simplify (/ n n) into 1 4.281 * [backup-simplify]: Simplify (- 1) into -1 4.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.282 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.282 * [taylor]: Taking taylor expansion of 1 in n 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify (+ 0 1) into 1 4.283 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 4.283 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 4.283 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 4.284 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 4.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.284 * [taylor]: Taking taylor expansion of 2 in n 4.284 * [backup-simplify]: Simplify 2 into 2 4.284 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.284 * [taylor]: Taking taylor expansion of n in n 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.285 * [backup-simplify]: Simplify (/ 1 1) into 1 4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (+ 0 1) into 1 4.287 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.288 * [backup-simplify]: Simplify (+ 0 0) into 0 4.288 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 4.288 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 4.288 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 4.289 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 4.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.289 * [taylor]: Taking taylor expansion of 2 in n 4.290 * [backup-simplify]: Simplify 2 into 2 4.290 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.290 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.290 * [taylor]: Taking taylor expansion of n in n 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.290 * [backup-simplify]: Simplify (/ 1 1) into 1 4.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.300 * [backup-simplify]: Simplify (+ 0 0) into 0 4.300 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 4.300 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 4.301 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 4.302 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 4.302 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.302 * [taylor]: Taking taylor expansion of 2 in n 4.302 * [backup-simplify]: Simplify 2 into 2 4.302 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.302 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.302 * [taylor]: Taking taylor expansion of n in n 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (* 1 1) into 1 4.303 * [backup-simplify]: Simplify (* 1 1) into 1 4.304 * [backup-simplify]: Simplify (/ 1 1) into 1 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (/ (- 1) (- (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 4.316 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 4.316 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 4.316 * [taylor]: Taking taylor expansion of -1 in n 4.316 * [backup-simplify]: Simplify -1 into -1 4.316 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 4.316 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.316 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.316 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.316 * [taylor]: Taking taylor expansion of f in n 4.316 * [backup-simplify]: Simplify f into f 4.317 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.317 * [taylor]: Taking taylor expansion of n in n 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.317 * [taylor]: Taking taylor expansion of f in n 4.317 * [backup-simplify]: Simplify f into f 4.318 * [backup-simplify]: Simplify (+ 0 1) into 1 4.318 * [backup-simplify]: Simplify (* 1 f) into f 4.318 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.318 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.318 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.318 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.318 * [taylor]: Taking taylor expansion of f in n 4.318 * [backup-simplify]: Simplify f into f 4.318 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.318 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.318 * [taylor]: Taking taylor expansion of n in n 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [taylor]: Taking taylor expansion of n in n 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (+ 0 1) into 1 4.319 * [backup-simplify]: Simplify (* 1 0) into 0 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.320 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.320 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [backup-simplify]: Simplify (- 1) into -1 4.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.321 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.321 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 4.321 * [taylor]: Taking taylor expansion of -1 in f 4.321 * [backup-simplify]: Simplify -1 into -1 4.321 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.321 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.321 * [taylor]: Taking taylor expansion of f in f 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (/ 1 1) into 1 4.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.322 * [taylor]: Taking taylor expansion of n in f 4.322 * [backup-simplify]: Simplify n into n 4.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.322 * [taylor]: Taking taylor expansion of f in f 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (+ 1 0) into 1 4.322 * [backup-simplify]: Simplify (* 1 0) into 0 4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.323 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.323 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.323 * [taylor]: Taking taylor expansion of f in f 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (/ 1 1) into 1 4.324 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.324 * [taylor]: Taking taylor expansion of n in f 4.324 * [backup-simplify]: Simplify n into n 4.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.324 * [taylor]: Taking taylor expansion of n in f 4.324 * [backup-simplify]: Simplify n into n 4.324 * [backup-simplify]: Simplify (+ 1 0) into 1 4.324 * [backup-simplify]: Simplify (* 1 n) into n 4.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.324 * [backup-simplify]: Simplify (+ 1 0) into 1 4.325 * [backup-simplify]: Simplify (/ -1 1) into -1 4.325 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 4.325 * [taylor]: Taking taylor expansion of -1 in f 4.325 * [backup-simplify]: Simplify -1 into -1 4.325 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.325 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.325 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.325 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.325 * [taylor]: Taking taylor expansion of f in f 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify (/ 1 1) into 1 4.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.325 * [taylor]: Taking taylor expansion of n in f 4.325 * [backup-simplify]: Simplify n into n 4.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.325 * [taylor]: Taking taylor expansion of f in f 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (+ 1 0) into 1 4.326 * [backup-simplify]: Simplify (* 1 0) into 0 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.327 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.327 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.327 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.327 * [taylor]: Taking taylor expansion of f in f 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.327 * [taylor]: Taking taylor expansion of n in f 4.327 * [backup-simplify]: Simplify n into n 4.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.327 * [taylor]: Taking taylor expansion of n in f 4.327 * [backup-simplify]: Simplify n into n 4.328 * [backup-simplify]: Simplify (+ 1 0) into 1 4.328 * [backup-simplify]: Simplify (* 1 n) into n 4.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.328 * [backup-simplify]: Simplify (+ 1 0) into 1 4.328 * [backup-simplify]: Simplify (/ -1 1) into -1 4.328 * [taylor]: Taking taylor expansion of -1 in n 4.328 * [backup-simplify]: Simplify -1 into -1 4.328 * [backup-simplify]: Simplify -1 into -1 4.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.329 * [backup-simplify]: Simplify (+ 0 0) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.330 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.330 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 4.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 4.330 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.330 * [taylor]: Taking taylor expansion of 2 in n 4.330 * [backup-simplify]: Simplify 2 into 2 4.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.331 * [taylor]: Taking taylor expansion of n in n 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [backup-simplify]: Simplify (/ 1 1) into 1 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.332 * [backup-simplify]: Simplify (- 0) into 0 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.335 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 4.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.335 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 4.336 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 4.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.336 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.336 * [taylor]: Taking taylor expansion of 2 in n 4.336 * [backup-simplify]: Simplify 2 into 2 4.336 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.336 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.336 * [taylor]: Taking taylor expansion of n in n 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (* 1 1) into 1 4.337 * [backup-simplify]: Simplify (/ 1 1) into 1 4.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.340 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.341 * [backup-simplify]: Simplify (- 0) into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 4.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.346 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 4.346 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 4.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.347 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.347 * [taylor]: Taking taylor expansion of 2 in n 4.347 * [backup-simplify]: Simplify 2 into 2 4.347 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.347 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.347 * [taylor]: Taking taylor expansion of n in n 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (* 1 1) into 1 4.347 * [backup-simplify]: Simplify (* 1 1) into 1 4.348 * [backup-simplify]: Simplify (/ 1 1) into 1 4.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.353 * [backup-simplify]: Simplify (- 0) into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify -1 into -1 4.354 * [backup-simplify]: Simplify (/ (- 1) (- (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 4.354 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 4.354 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 4.354 * [taylor]: Taking taylor expansion of -1 in n 4.354 * [backup-simplify]: Simplify -1 into -1 4.354 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 4.354 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 4.354 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 4.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.354 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.354 * [taylor]: Taking taylor expansion of f in n 4.354 * [backup-simplify]: Simplify f into f 4.354 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.354 * [taylor]: Taking taylor expansion of n in n 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [backup-simplify]: Simplify (/ 1 1) into 1 4.354 * [taylor]: Taking taylor expansion of f in n 4.354 * [backup-simplify]: Simplify f into f 4.355 * [backup-simplify]: Simplify (+ 0 1) into 1 4.355 * [backup-simplify]: Simplify (* 1 f) into f 4.355 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.355 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 4.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 4.355 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.355 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.355 * [taylor]: Taking taylor expansion of f in n 4.355 * [backup-simplify]: Simplify f into f 4.355 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.355 * [taylor]: Taking taylor expansion of n in n 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (/ 1 1) into 1 4.355 * [taylor]: Taking taylor expansion of n in n 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.356 * [backup-simplify]: Simplify (+ 0 1) into 1 4.356 * [backup-simplify]: Simplify (* 1 0) into 0 4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.356 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.357 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.357 * [backup-simplify]: Simplify (- 1) into -1 4.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.358 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.358 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 4.358 * [taylor]: Taking taylor expansion of -1 in f 4.358 * [backup-simplify]: Simplify -1 into -1 4.358 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.358 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.358 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.358 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.358 * [taylor]: Taking taylor expansion of f in f 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.358 * [taylor]: Taking taylor expansion of n in f 4.358 * [backup-simplify]: Simplify n into n 4.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.358 * [taylor]: Taking taylor expansion of f in f 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (+ 1 0) into 1 4.359 * [backup-simplify]: Simplify (* 1 0) into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.360 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.360 * [backup-simplify]: Simplify (/ 1 1) into 1 4.360 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.360 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.360 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.360 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.360 * [taylor]: Taking taylor expansion of f in f 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (/ 1 1) into 1 4.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.360 * [taylor]: Taking taylor expansion of n in f 4.360 * [backup-simplify]: Simplify n into n 4.360 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.360 * [taylor]: Taking taylor expansion of n in f 4.360 * [backup-simplify]: Simplify n into n 4.361 * [backup-simplify]: Simplify (+ 1 0) into 1 4.361 * [backup-simplify]: Simplify (* 1 n) into n 4.361 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.361 * [backup-simplify]: Simplify (+ 1 0) into 1 4.361 * [backup-simplify]: Simplify (/ -1 1) into -1 4.361 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 4.361 * [taylor]: Taking taylor expansion of -1 in f 4.361 * [backup-simplify]: Simplify -1 into -1 4.361 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 4.361 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 4.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 4.361 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.361 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.361 * [taylor]: Taking taylor expansion of f in f 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.362 * [taylor]: Taking taylor expansion of n in f 4.362 * [backup-simplify]: Simplify n into n 4.362 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.362 * [taylor]: Taking taylor expansion of f in f 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (+ 1 0) into 1 4.362 * [backup-simplify]: Simplify (* 1 0) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.363 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 4.363 * [backup-simplify]: Simplify (/ 1 1) into 1 4.363 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 4.363 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 4.363 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.363 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.363 * [taylor]: Taking taylor expansion of f in f 4.363 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [backup-simplify]: Simplify (/ 1 1) into 1 4.364 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.364 * [taylor]: Taking taylor expansion of n in f 4.364 * [backup-simplify]: Simplify n into n 4.364 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.364 * [taylor]: Taking taylor expansion of n in f 4.364 * [backup-simplify]: Simplify n into n 4.364 * [backup-simplify]: Simplify (+ 1 0) into 1 4.364 * [backup-simplify]: Simplify (* 1 n) into n 4.364 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.364 * [backup-simplify]: Simplify (+ 1 0) into 1 4.365 * [backup-simplify]: Simplify (/ -1 1) into -1 4.365 * [taylor]: Taking taylor expansion of -1 in n 4.365 * [backup-simplify]: Simplify -1 into -1 4.365 * [backup-simplify]: Simplify -1 into -1 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.366 * [backup-simplify]: Simplify (+ 0 0) into 0 4.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.366 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.367 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 4.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 4.367 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.367 * [taylor]: Taking taylor expansion of 2 in n 4.367 * [backup-simplify]: Simplify 2 into 2 4.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.367 * [taylor]: Taking taylor expansion of n in n 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ 1 1) into 1 4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (- 0) into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.369 * [backup-simplify]: Simplify (+ 0 0) into 0 4.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 4.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 4.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.372 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 4.372 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 4.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.373 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.373 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.373 * [taylor]: Taking taylor expansion of 2 in n 4.373 * [backup-simplify]: Simplify 2 into 2 4.373 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.373 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.373 * [taylor]: Taking taylor expansion of n in n 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 1 into 1 4.374 * [backup-simplify]: Simplify (* 1 1) into 1 4.374 * [backup-simplify]: Simplify (/ 1 1) into 1 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.379 * [backup-simplify]: Simplify (- 0) into 0 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.381 * [backup-simplify]: Simplify (- 0) into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.382 * [backup-simplify]: Simplify (+ 0 0) into 0 4.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.387 * [backup-simplify]: Simplify (+ 0 0) into 0 4.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 4.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.388 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 4.388 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 4.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.390 * [taylor]: Taking taylor expansion of 2 in n 4.390 * [backup-simplify]: Simplify 2 into 2 4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.390 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.390 * [taylor]: Taking taylor expansion of n in n 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify (* 1 1) into 1 4.391 * [backup-simplify]: Simplify (* 1 1) into 1 4.391 * [backup-simplify]: Simplify (/ 1 1) into 1 4.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (- 0) into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 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enodes 4.654 * * [simplify]: iteration 1: 858 enodes 5.113 * * [simplify]: iteration 2: 4210 enodes 5.919 * * [simplify]: iteration complete: 5000 enodes 5.920 * * [simplify]: Extracting #0: cost 213 inf + 0 5.925 * * [simplify]: Extracting #1: cost 1266 inf + 38 5.935 * * [simplify]: Extracting #2: cost 1352 inf + 3273 5.948 * * [simplify]: Extracting #3: cost 357 inf + 12178 5.959 * * [simplify]: Extracting #4: cost 60 inf + 15948 5.969 * * [simplify]: Extracting #5: cost 0 inf + 16603 5.980 * * [simplify]: Extracting #6: cost 0 inf + 16583 5.992 * [simplify]: Simplified to: (exp (- (/ f (+ n f)) (/ n (+ n f)))) (log (- (/ f (+ n f)) (/ n (+ n f)))) (exp (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (pow (- (/ f (+ n f)) (/ n (+ n f))) 3) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (- f n) (- (* f (+ n f)) (* (+ n f) n)) (* (+ n f) (+ n f)) (- 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f))))) (/ 1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ 1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (- (sqrt (+ n f))) (/ 1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (+ n f)) (/ 1 (- f n)) (/ -1 (+ (* n n) (* f (- f n)))) (/ 1 (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ -1 (- n f)) (/ 1 (- (/ f (* (+ n f) (- n f))) (/ n (* (+ n f) (- n f))))) (/ -1 (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ -1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ 1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ 1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ 1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (- (sqrt (+ n f))) (/ 1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (+ n f)) (/ 1 (- f n)) (/ -1 (+ (* n n) (* f (- f n)))) (/ 1 (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ -1 (- n f)) (/ 1 (- (/ f (* (+ n f) (- n f))) (/ n (* (+ n f) (- n f))))) (/ -1 (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ -1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ 1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ 1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ 1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (- (sqrt (+ n f))) (/ 1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (+ n f)) (/ 1 (- f n)) (/ -1 (+ (* n n) (* f (- f n)))) (/ 1 (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ -1 (- n f)) (/ 1 (- (/ f (* (+ n f) (- n f))) (/ n (* (+ n f) (- n f))))) (/ -1 (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ -1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ 1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ 1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ 1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (- (sqrt (+ n f))) (/ 1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) -1 (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (+ n f)) (/ 1 (- f n)) (/ -1 (+ (* n n) (* f (- f n)))) (/ 1 (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ -1 (- n f)) (/ 1 (- (/ f (* (+ n f) (- n f))) (/ n (* (+ n f) (- n f))))) (/ (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ 1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ -1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (sqrt (+ n f)) (/ -1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (+ n f) (/ -1 (- f n)) (/ 1 (+ (* n n) (* f (- f n)))) (/ -1 (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ 1 (- n f)) (/ -1 (- (/ f (* (+ n f) (- n f))) (/ n (* (+ n f) (- n f))))) (/ (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ 1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ -1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (sqrt (+ n f)) (/ -1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (+ n f) (/ -1 (- f n)) (/ 1 (+ (* n n) (* f (- f n)))) (/ -1 (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ 1 (- n f)) (/ -1 (- (/ f (* (+ n f) (- n f))) (/ n (* (+ n f) (- n f))))) (/ (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ 1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ -1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (sqrt (+ n f)) (/ -1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (+ n f) (/ -1 (- f n)) (/ 1 (+ (* n n) (* f (- f n)))) (/ -1 (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ 1 (- n f)) (/ -1 (- (/ f (* (+ n f) (- n f))) (/ n (* (+ n f) (- n f))))) (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ (- (/ f (+ n f)) (/ n (+ n f))) -1) (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ -1 (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) -1 (/ -1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 -1 -1 (- (+ n f)) (/ -1 (+ (* n n) (* f (- f n)))) (/ -1 (- n f)) (/ (- (/ f (+ n f)) (/ n (+ n f))) (cbrt -1)) (/ (- (/ f (+ n f)) (/ n (+ n f))) (sqrt -1)) (/ (- (/ f (+ n f)) (/ n (+ n f))) -1) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (/ (- (/ f (+ n f)) (/ n (+ n f))) -1) (/ (- (/ f (+ n f)) (/ n (+ n f))) -1) (/ (- (/ f (+ n f)) (/ n (+ n f))) -1) (/ -1 (- f n)) (/ -1 (- (* f (+ n f)) (* (+ n f) n))) (/ -1 (- (pow (/ f (+ n f)) 3) (pow (/ n (+ n f)) 3))) (/ -1 (- (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f))))) -1 1 1 0 0 0 0 0 0 1 -1 -1 5.995 * * * [progress]: adding candidates to table 6.997 * * [progress]: iteration 4 / 4 6.997 * * * [progress]: picking best candidate 7.011 * * * * [pick]: Picked # 7.011 * * * [progress]: localizing error 7.045 * * * [progress]: generating rewritten candidates 7.046 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.070 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.297 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 7.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.551 * * * [progress]: generating series expansions 7.551 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 7.552 * [backup-simplify]: Simplify (log (exp (/ f (+ n f)))) into (/ f (+ n f)) 7.552 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 7.552 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.552 * [taylor]: Taking taylor expansion of f in n 7.552 * [backup-simplify]: Simplify f into f 7.552 * [taylor]: Taking taylor expansion of (+ n f) in n 7.552 * [taylor]: Taking taylor expansion of n in n 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of f in n 7.552 * [backup-simplify]: Simplify f into f 7.552 * [backup-simplify]: Simplify (+ 0 f) into f 7.552 * [backup-simplify]: Simplify (/ f f) into 1 7.552 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.552 * [taylor]: Taking taylor expansion of f in f 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (+ n f) in f 7.552 * [taylor]: Taking taylor expansion of n in f 7.552 * [backup-simplify]: Simplify n into n 7.552 * [taylor]: Taking taylor expansion of f in f 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (+ n 0) into n 7.552 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.552 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.552 * [taylor]: Taking taylor expansion of f in f 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (+ n f) in f 7.552 * [taylor]: Taking taylor expansion of n in f 7.552 * [backup-simplify]: Simplify n into n 7.552 * [taylor]: Taking taylor expansion of f in f 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (+ n 0) into n 7.553 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.553 * [taylor]: Taking taylor expansion of n in n 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify (+ 0 1) into 1 7.554 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 7.554 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.554 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.554 * [taylor]: Taking taylor expansion of n in n 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (* 1 1) into 1 7.555 * [backup-simplify]: Simplify (/ 1 1) into 1 7.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (- 0) into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify (+ 0 0) into 0 7.558 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.558 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.558 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.558 * [taylor]: Taking taylor expansion of n in n 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (/ 1 1) into 1 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (- 0) into 0 7.570 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (log (exp (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 7.571 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 7.571 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.571 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.571 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.571 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.571 * [taylor]: Taking taylor expansion of f in n 7.572 * [backup-simplify]: Simplify f into f 7.572 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.572 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.572 * [taylor]: Taking taylor expansion of n in n 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (/ 1 1) into 1 7.572 * [taylor]: Taking taylor expansion of f in n 7.572 * [backup-simplify]: Simplify f into f 7.573 * [backup-simplify]: Simplify (+ 0 1) into 1 7.573 * [backup-simplify]: Simplify (* 1 f) into f 7.573 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.573 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.573 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.573 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.573 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.573 * [taylor]: Taking taylor expansion of f in f 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 1 into 1 7.573 * [backup-simplify]: Simplify (/ 1 1) into 1 7.573 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.573 * [taylor]: Taking taylor expansion of n in f 7.573 * [backup-simplify]: Simplify n into n 7.574 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.574 * [taylor]: Taking taylor expansion of f in f 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [backup-simplify]: Simplify (+ 1 0) into 1 7.574 * [backup-simplify]: Simplify (* 1 0) into 0 7.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.575 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.576 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.576 * [backup-simplify]: Simplify (/ 1 1) into 1 7.576 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.576 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.576 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.576 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.576 * [taylor]: Taking taylor expansion of f in f 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify 1 into 1 7.577 * [backup-simplify]: Simplify (/ 1 1) into 1 7.577 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.577 * [taylor]: Taking taylor expansion of n in f 7.577 * [backup-simplify]: Simplify n into n 7.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.577 * [taylor]: Taking taylor expansion of f in f 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 1 into 1 7.578 * [backup-simplify]: Simplify (+ 1 0) into 1 7.578 * [backup-simplify]: Simplify (* 1 0) into 0 7.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.579 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.580 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.580 * [backup-simplify]: Simplify (/ 1 1) into 1 7.580 * [taylor]: Taking taylor expansion of 1 in n 7.580 * [backup-simplify]: Simplify 1 into 1 7.580 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.582 * [backup-simplify]: Simplify (+ 0 0) into 0 7.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.583 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.583 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.583 * [taylor]: Taking taylor expansion of n in n 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (/ 1 1) into 1 7.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.585 * [backup-simplify]: Simplify (- 0) into 0 7.585 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.587 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.589 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.589 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.589 * [taylor]: Taking taylor expansion of n in n 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * [backup-simplify]: Simplify (* 1 1) into 1 7.589 * [backup-simplify]: Simplify (/ 1 1) into 1 7.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.594 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (- 0) into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (log (exp (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 7.596 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 7.596 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.596 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.596 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.596 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.596 * [taylor]: Taking taylor expansion of f in n 7.596 * [backup-simplify]: Simplify f into f 7.596 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.596 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.596 * [taylor]: Taking taylor expansion of n in n 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (/ 1 1) into 1 7.597 * [taylor]: Taking taylor expansion of f in n 7.597 * [backup-simplify]: Simplify f into f 7.597 * [backup-simplify]: Simplify (+ 0 1) into 1 7.597 * [backup-simplify]: Simplify (* 1 f) into f 7.597 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.597 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.597 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.597 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.597 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.597 * [taylor]: Taking taylor expansion of f in f 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (/ 1 1) into 1 7.598 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.598 * [taylor]: Taking taylor expansion of n in f 7.598 * [backup-simplify]: Simplify n into n 7.598 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.598 * [taylor]: Taking taylor expansion of f in f 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (+ 1 0) into 1 7.599 * [backup-simplify]: Simplify (* 1 0) into 0 7.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.599 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.600 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.600 * [backup-simplify]: Simplify (/ 1 1) into 1 7.600 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.600 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.600 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.600 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.600 * [taylor]: Taking taylor expansion of f in f 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (/ 1 1) into 1 7.601 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.601 * [taylor]: Taking taylor expansion of n in f 7.601 * [backup-simplify]: Simplify n into n 7.601 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.601 * [taylor]: Taking taylor expansion of f in f 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (+ 1 0) into 1 7.602 * [backup-simplify]: Simplify (* 1 0) into 0 7.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.603 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.603 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.603 * [backup-simplify]: Simplify (/ 1 1) into 1 7.604 * [taylor]: Taking taylor expansion of 1 in n 7.604 * [backup-simplify]: Simplify 1 into 1 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.605 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.606 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.606 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.606 * [taylor]: Taking taylor expansion of n in n 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 1 into 1 7.606 * [backup-simplify]: Simplify (/ 1 1) into 1 7.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.608 * [backup-simplify]: Simplify (- 0) into 0 7.608 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.611 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.611 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.611 * [taylor]: Taking taylor expansion of n in n 7.611 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.612 * [backup-simplify]: Simplify (* 1 1) into 1 7.612 * [backup-simplify]: Simplify (/ 1 1) into 1 7.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.617 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.619 * [backup-simplify]: Simplify (- 0) into 0 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 7.619 * [backup-simplify]: Simplify (- (log (exp (/ f (+ n f)))) (/ n (+ n f))) into (- (/ f (+ n f)) (/ n (+ n f))) 7.619 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 7.619 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 7.619 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.619 * [taylor]: Taking taylor expansion of f in n 7.619 * [backup-simplify]: Simplify f into f 7.619 * [taylor]: Taking taylor expansion of (+ n f) in n 7.619 * [taylor]: Taking taylor expansion of n in n 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [taylor]: Taking taylor expansion of f in n 7.620 * [backup-simplify]: Simplify f into f 7.620 * [backup-simplify]: Simplify (+ 0 f) into f 7.620 * [backup-simplify]: Simplify (/ f f) into 1 7.620 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.620 * [taylor]: Taking taylor expansion of n in n 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [taylor]: Taking taylor expansion of (+ n f) in n 7.620 * [taylor]: Taking taylor expansion of n in n 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [taylor]: Taking taylor expansion of f in n 7.620 * [backup-simplify]: Simplify f into f 7.620 * [backup-simplify]: Simplify (+ 0 f) into f 7.620 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.620 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.620 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.620 * [taylor]: Taking taylor expansion of f in f 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [taylor]: Taking taylor expansion of (+ n f) in f 7.620 * [taylor]: Taking taylor expansion of n in f 7.620 * [backup-simplify]: Simplify n into n 7.620 * [taylor]: Taking taylor expansion of f in f 7.620 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (+ n 0) into n 7.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.621 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.621 * [taylor]: Taking taylor expansion of n in f 7.621 * [backup-simplify]: Simplify n into n 7.621 * [taylor]: Taking taylor expansion of (+ n f) in f 7.621 * [taylor]: Taking taylor expansion of n in f 7.621 * [backup-simplify]: Simplify n into n 7.621 * [taylor]: Taking taylor expansion of f in f 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (+ n 0) into n 7.621 * [backup-simplify]: Simplify (/ n n) into 1 7.621 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.621 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.621 * [taylor]: Taking taylor expansion of f in f 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [taylor]: Taking taylor expansion of (+ n f) in f 7.621 * [taylor]: Taking taylor expansion of n in f 7.621 * [backup-simplify]: Simplify n into n 7.621 * [taylor]: Taking taylor expansion of f in f 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (+ n 0) into n 7.622 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.622 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.622 * [taylor]: Taking taylor expansion of n in f 7.622 * [backup-simplify]: Simplify n into n 7.622 * [taylor]: Taking taylor expansion of (+ n f) in f 7.622 * [taylor]: Taking taylor expansion of n in f 7.622 * [backup-simplify]: Simplify n into n 7.622 * [taylor]: Taking taylor expansion of f in f 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [backup-simplify]: Simplify (+ n 0) into n 7.622 * [backup-simplify]: Simplify (/ n n) into 1 7.622 * [backup-simplify]: Simplify (- 1) into -1 7.623 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.623 * [taylor]: Taking taylor expansion of -1 in n 7.623 * [backup-simplify]: Simplify -1 into -1 7.623 * [backup-simplify]: Simplify -1 into -1 7.623 * [backup-simplify]: Simplify (+ 0 1) into 1 7.623 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 7.623 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 7.624 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 7.624 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.624 * [taylor]: Taking taylor expansion of 2 in n 7.624 * [backup-simplify]: Simplify 2 into 2 7.624 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.624 * [taylor]: Taking taylor expansion of n in n 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.624 * [backup-simplify]: Simplify (/ 1 1) into 1 7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify (+ 0 1) into 1 7.626 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.626 * [backup-simplify]: Simplify (+ 0 0) into 0 7.626 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 7.627 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 7.627 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.627 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.627 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.627 * [taylor]: Taking taylor expansion of 2 in n 7.627 * [backup-simplify]: Simplify 2 into 2 7.627 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.627 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.627 * [taylor]: Taking taylor expansion of n in n 7.627 * [backup-simplify]: Simplify 0 into 0 7.627 * [backup-simplify]: Simplify 1 into 1 7.628 * [backup-simplify]: Simplify (* 1 1) into 1 7.628 * [backup-simplify]: Simplify (/ 1 1) into 1 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.635 * [backup-simplify]: Simplify (- 0) into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify (+ 0 0) into 0 7.637 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.637 * [backup-simplify]: Simplify (+ 0 0) into 0 7.637 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 7.637 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 7.637 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 7.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.638 * [taylor]: Taking taylor expansion of 2 in n 7.638 * [backup-simplify]: Simplify 2 into 2 7.638 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.638 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.638 * [taylor]: Taking taylor expansion of n in n 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 1 into 1 7.638 * [backup-simplify]: Simplify (* 1 1) into 1 7.638 * [backup-simplify]: Simplify (* 1 1) into 1 7.638 * [backup-simplify]: Simplify (/ 1 1) into 1 7.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify -1 into -1 7.644 * [backup-simplify]: Simplify (- (log (exp (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 7.644 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 7.644 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.644 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.644 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.644 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.644 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.644 * [taylor]: Taking taylor expansion of f in n 7.644 * [backup-simplify]: Simplify f into f 7.644 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.644 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.644 * [taylor]: Taking taylor expansion of n in n 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 1 into 1 7.645 * [backup-simplify]: Simplify (/ 1 1) into 1 7.645 * [taylor]: Taking taylor expansion of f in n 7.645 * [backup-simplify]: Simplify f into f 7.645 * [backup-simplify]: Simplify (+ 0 1) into 1 7.645 * [backup-simplify]: Simplify (* 1 f) into f 7.645 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.645 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.645 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.645 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.645 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.645 * [taylor]: Taking taylor expansion of f in n 7.645 * [backup-simplify]: Simplify f into f 7.645 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.645 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.645 * [taylor]: Taking taylor expansion of n in n 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 1 into 1 7.646 * [backup-simplify]: Simplify (/ 1 1) into 1 7.646 * [taylor]: Taking taylor expansion of n in n 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify 1 into 1 7.646 * [backup-simplify]: Simplify (+ 0 1) into 1 7.646 * [backup-simplify]: Simplify (* 1 0) into 0 7.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.647 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.647 * [backup-simplify]: Simplify (/ 1 1) into 1 7.647 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.647 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.647 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.647 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.647 * [taylor]: Taking taylor expansion of f in f 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 1 into 1 7.648 * [backup-simplify]: Simplify (/ 1 1) into 1 7.648 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.648 * [taylor]: Taking taylor expansion of n in f 7.648 * [backup-simplify]: Simplify n into n 7.648 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.648 * [taylor]: Taking taylor expansion of f in f 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 1 into 1 7.648 * [backup-simplify]: Simplify (+ 1 0) into 1 7.648 * [backup-simplify]: Simplify (* 1 0) into 0 7.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.649 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.649 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.649 * [backup-simplify]: Simplify (/ 1 1) into 1 7.649 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.649 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.649 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.649 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.649 * [taylor]: Taking taylor expansion of f in f 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 1 into 1 7.650 * [backup-simplify]: Simplify (/ 1 1) into 1 7.650 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.650 * [taylor]: Taking taylor expansion of n in f 7.650 * [backup-simplify]: Simplify n into n 7.650 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.650 * [taylor]: Taking taylor expansion of n in f 7.650 * [backup-simplify]: Simplify n into n 7.650 * [backup-simplify]: Simplify (+ 1 0) into 1 7.650 * [backup-simplify]: Simplify (* 1 n) into n 7.650 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.650 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.650 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.650 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.650 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.650 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.650 * [taylor]: Taking taylor expansion of f in f 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.651 * [backup-simplify]: Simplify (/ 1 1) into 1 7.651 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.651 * [taylor]: Taking taylor expansion of n in f 7.651 * [backup-simplify]: Simplify n into n 7.651 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.651 * [taylor]: Taking taylor expansion of f in f 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 1 into 1 7.651 * [backup-simplify]: Simplify (+ 1 0) into 1 7.652 * [backup-simplify]: Simplify (* 1 0) into 0 7.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.653 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.653 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.654 * [backup-simplify]: Simplify (/ 1 1) into 1 7.654 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.654 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.654 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.654 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.654 * [taylor]: Taking taylor expansion of f in f 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 1 into 1 7.654 * [backup-simplify]: Simplify (/ 1 1) into 1 7.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.654 * [taylor]: Taking taylor expansion of n in f 7.654 * [backup-simplify]: Simplify n into n 7.654 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.654 * [taylor]: Taking taylor expansion of n in f 7.654 * [backup-simplify]: Simplify n into n 7.655 * [backup-simplify]: Simplify (+ 1 0) into 1 7.655 * [backup-simplify]: Simplify (* 1 n) into n 7.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.655 * [backup-simplify]: Simplify (+ 1 0) into 1 7.655 * [taylor]: Taking taylor expansion of 1 in n 7.655 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.657 * [backup-simplify]: Simplify (+ 0 0) into 0 7.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.658 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.658 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.658 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.658 * [taylor]: Taking taylor expansion of 2 in n 7.658 * [backup-simplify]: Simplify 2 into 2 7.658 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.658 * [taylor]: Taking taylor expansion of n in n 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (/ 1 1) into 1 7.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.660 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.661 * [backup-simplify]: Simplify (- 0) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.662 * [backup-simplify]: Simplify (+ 0 0) into 0 7.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.665 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.665 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.666 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.666 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.666 * [taylor]: Taking taylor expansion of 2 in n 7.666 * [backup-simplify]: Simplify 2 into 2 7.666 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.666 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.666 * [taylor]: Taking taylor expansion of n in n 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.667 * [backup-simplify]: Simplify (* 1 1) into 1 7.667 * [backup-simplify]: Simplify (/ 1 1) into 1 7.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.671 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.673 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.674 * [backup-simplify]: Simplify (- 0) into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.676 * [backup-simplify]: Simplify (+ 0 0) into 0 7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.680 * [backup-simplify]: Simplify (+ 0 0) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.681 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.681 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.681 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.681 * [taylor]: Taking taylor expansion of 2 in n 7.681 * [backup-simplify]: Simplify 2 into 2 7.681 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.681 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.681 * [taylor]: Taking taylor expansion of n in n 7.681 * [backup-simplify]: Simplify 0 into 0 7.681 * [backup-simplify]: Simplify 1 into 1 7.682 * [backup-simplify]: Simplify (* 1 1) into 1 7.682 * [backup-simplify]: Simplify (* 1 1) into 1 7.682 * [backup-simplify]: Simplify (/ 1 1) into 1 7.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (- 0) into 0 7.692 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify 1 into 1 7.693 * [backup-simplify]: Simplify (- (log (exp (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 7.693 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 7.693 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.693 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.693 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.693 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.693 * [taylor]: Taking taylor expansion of f in n 7.693 * [backup-simplify]: Simplify f into f 7.693 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.693 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.693 * [taylor]: Taking taylor expansion of n in n 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 1 into 1 7.694 * [backup-simplify]: Simplify (/ 1 1) into 1 7.694 * [taylor]: Taking taylor expansion of f in n 7.694 * [backup-simplify]: Simplify f into f 7.694 * [backup-simplify]: Simplify (+ 0 1) into 1 7.694 * [backup-simplify]: Simplify (* 1 f) into f 7.694 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.694 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.694 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.694 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.694 * [taylor]: Taking taylor expansion of f in n 7.694 * [backup-simplify]: Simplify f into f 7.694 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.695 * [taylor]: Taking taylor expansion of n in n 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (/ 1 1) into 1 7.695 * [taylor]: Taking taylor expansion of n in n 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (+ 0 1) into 1 7.696 * [backup-simplify]: Simplify (* 1 0) into 0 7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.697 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.697 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.698 * [backup-simplify]: Simplify (/ 1 1) into 1 7.698 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.698 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.698 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.698 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.698 * [taylor]: Taking taylor expansion of f in f 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (/ 1 1) into 1 7.698 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.698 * [taylor]: Taking taylor expansion of n in f 7.698 * [backup-simplify]: Simplify n into n 7.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.698 * [taylor]: Taking taylor expansion of f in f 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (+ 1 0) into 1 7.699 * [backup-simplify]: Simplify (* 1 0) into 0 7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.701 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.701 * [backup-simplify]: Simplify (/ 1 1) into 1 7.701 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.701 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.701 * [taylor]: Taking taylor expansion of f in f 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (/ 1 1) into 1 7.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.702 * [taylor]: Taking taylor expansion of n in f 7.702 * [backup-simplify]: Simplify n into n 7.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.702 * [taylor]: Taking taylor expansion of n in f 7.702 * [backup-simplify]: Simplify n into n 7.702 * [backup-simplify]: Simplify (+ 1 0) into 1 7.702 * [backup-simplify]: Simplify (* 1 n) into n 7.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.702 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.702 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.702 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.702 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.703 * [taylor]: Taking taylor expansion of f in f 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (/ 1 1) into 1 7.703 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.703 * [taylor]: Taking taylor expansion of n in f 7.703 * [backup-simplify]: Simplify n into n 7.703 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.703 * [taylor]: Taking taylor expansion of f in f 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (+ 1 0) into 1 7.704 * [backup-simplify]: Simplify (* 1 0) into 0 7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.705 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.705 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.706 * [backup-simplify]: Simplify (/ 1 1) into 1 7.706 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.706 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.706 * [taylor]: Taking taylor expansion of f in f 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ 1 1) into 1 7.706 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.706 * [taylor]: Taking taylor expansion of n in f 7.706 * [backup-simplify]: Simplify n into n 7.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.707 * [taylor]: Taking taylor expansion of n in f 7.707 * [backup-simplify]: Simplify n into n 7.707 * [backup-simplify]: Simplify (+ 1 0) into 1 7.707 * [backup-simplify]: Simplify (* 1 n) into n 7.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.708 * [backup-simplify]: Simplify (+ 1 0) into 1 7.708 * [taylor]: Taking taylor expansion of 1 in n 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.709 * [backup-simplify]: Simplify (+ 0 0) into 0 7.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.710 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.710 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.711 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.711 * [taylor]: Taking taylor expansion of 2 in n 7.711 * [backup-simplify]: Simplify 2 into 2 7.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.711 * [taylor]: Taking taylor expansion of n in n 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [backup-simplify]: Simplify (/ 1 1) into 1 7.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.712 * [backup-simplify]: Simplify (- 0) into 0 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.713 * [backup-simplify]: Simplify (+ 0 0) into 0 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.715 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.716 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.716 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.716 * [taylor]: Taking taylor expansion of 2 in n 7.716 * [backup-simplify]: Simplify 2 into 2 7.716 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.716 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.716 * [taylor]: Taking taylor expansion of n in n 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify 1 into 1 7.716 * [backup-simplify]: Simplify (* 1 1) into 1 7.717 * [backup-simplify]: Simplify (/ 1 1) into 1 7.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.720 * [backup-simplify]: Simplify (- 0) into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.721 * [backup-simplify]: Simplify (+ 0 0) into 0 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.724 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.725 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.725 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.725 * [taylor]: Taking taylor expansion of 2 in n 7.725 * [backup-simplify]: Simplify 2 into 2 7.725 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.725 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.725 * [taylor]: Taking taylor expansion of n in n 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (* 1 1) into 1 7.725 * [backup-simplify]: Simplify (* 1 1) into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (- 0) into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 7.731 * [backup-simplify]: Simplify (/ f (+ n f)) into (/ f (+ n f)) 7.731 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 7.731 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.731 * [taylor]: Taking taylor expansion of f in n 7.731 * [backup-simplify]: Simplify f into f 7.731 * [taylor]: Taking taylor expansion of (+ n f) in n 7.731 * [taylor]: Taking taylor expansion of n in n 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [taylor]: Taking taylor expansion of f in n 7.731 * [backup-simplify]: Simplify f into f 7.731 * [backup-simplify]: Simplify (+ 0 f) into f 7.731 * [backup-simplify]: Simplify (/ f f) into 1 7.731 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.731 * [taylor]: Taking taylor expansion of f in f 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [taylor]: Taking taylor expansion of (+ n f) in f 7.731 * [taylor]: Taking taylor expansion of n in f 7.731 * [backup-simplify]: Simplify n into n 7.731 * [taylor]: Taking taylor expansion of f in f 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (+ n 0) into n 7.731 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.732 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.732 * [taylor]: Taking taylor expansion of f in f 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [taylor]: Taking taylor expansion of (+ n f) in f 7.732 * [taylor]: Taking taylor expansion of n in f 7.732 * [backup-simplify]: Simplify n into n 7.732 * [taylor]: Taking taylor expansion of f in f 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [backup-simplify]: Simplify (+ n 0) into n 7.732 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.732 * [taylor]: Taking taylor expansion of n in n 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [backup-simplify]: Simplify (/ 1 1) into 1 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (+ 0 1) into 1 7.733 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.733 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 7.733 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.733 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.733 * [taylor]: Taking taylor expansion of n in n 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 1 into 1 7.733 * [backup-simplify]: Simplify (* 1 1) into 1 7.734 * [backup-simplify]: Simplify (/ 1 1) into 1 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.736 * [backup-simplify]: Simplify (- 0) into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (+ 0 0) into 0 7.737 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.737 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.737 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.737 * [taylor]: Taking taylor expansion of n in n 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.737 * [backup-simplify]: Simplify (* 1 1) into 1 7.737 * [backup-simplify]: Simplify (* 1 1) into 1 7.738 * [backup-simplify]: Simplify (/ 1 1) into 1 7.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.747 * [backup-simplify]: Simplify (- 0) into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.748 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 7.749 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 7.749 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.749 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.749 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.749 * [taylor]: Taking taylor expansion of f in n 7.749 * [backup-simplify]: Simplify f into f 7.749 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.749 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.749 * [taylor]: Taking taylor expansion of n in n 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 1 into 1 7.749 * [backup-simplify]: Simplify (/ 1 1) into 1 7.749 * [taylor]: Taking taylor expansion of f in n 7.749 * [backup-simplify]: Simplify f into f 7.750 * [backup-simplify]: Simplify (+ 0 1) into 1 7.750 * [backup-simplify]: Simplify (* 1 f) into f 7.750 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.750 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.750 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.750 * [taylor]: Taking taylor expansion of f in f 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (/ 1 1) into 1 7.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.751 * [taylor]: Taking taylor expansion of n in f 7.751 * [backup-simplify]: Simplify n into n 7.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.751 * [taylor]: Taking taylor expansion of f in f 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (+ 1 0) into 1 7.752 * [backup-simplify]: Simplify (* 1 0) into 0 7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.758 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.758 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.758 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.758 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.758 * [taylor]: Taking taylor expansion of f in f 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (/ 1 1) into 1 7.759 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.759 * [taylor]: Taking taylor expansion of n in f 7.759 * [backup-simplify]: Simplify n into n 7.759 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.759 * [taylor]: Taking taylor expansion of f in f 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.760 * [backup-simplify]: Simplify (+ 1 0) into 1 7.760 * [backup-simplify]: Simplify (* 1 0) into 0 7.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.761 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.761 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.762 * [backup-simplify]: Simplify (/ 1 1) into 1 7.762 * [taylor]: Taking taylor expansion of 1 in n 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.764 * [backup-simplify]: Simplify (+ 0 0) into 0 7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.765 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.765 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.765 * [taylor]: Taking taylor expansion of n in n 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.766 * [backup-simplify]: Simplify (/ 1 1) into 1 7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (- 0) into 0 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.769 * [backup-simplify]: Simplify (+ 0 0) into 0 7.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.771 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.771 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.771 * [taylor]: Taking taylor expansion of n in n 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.772 * [backup-simplify]: Simplify (* 1 1) into 1 7.772 * [backup-simplify]: Simplify (/ 1 1) into 1 7.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.778 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (- 0) into 0 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 7.780 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 7.780 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.780 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.780 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.780 * [taylor]: Taking taylor expansion of f in n 7.780 * [backup-simplify]: Simplify f into f 7.780 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.780 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.780 * [taylor]: Taking taylor expansion of n in n 7.780 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify 1 into 1 7.781 * [backup-simplify]: Simplify (/ 1 1) into 1 7.781 * [taylor]: Taking taylor expansion of f in n 7.781 * [backup-simplify]: Simplify f into f 7.781 * [backup-simplify]: Simplify (+ 0 1) into 1 7.782 * [backup-simplify]: Simplify (* 1 f) into f 7.782 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.782 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.782 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.782 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.782 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.782 * [taylor]: Taking taylor expansion of f in f 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (/ 1 1) into 1 7.782 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.782 * [taylor]: Taking taylor expansion of n in f 7.782 * [backup-simplify]: Simplify n into n 7.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.782 * [taylor]: Taking taylor expansion of f in f 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.783 * [backup-simplify]: Simplify (+ 1 0) into 1 7.783 * [backup-simplify]: Simplify (* 1 0) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.785 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.785 * [backup-simplify]: Simplify (/ 1 1) into 1 7.785 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.786 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.786 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.786 * [taylor]: Taking taylor expansion of f in f 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (/ 1 1) into 1 7.786 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.786 * [taylor]: Taking taylor expansion of n in f 7.786 * [backup-simplify]: Simplify n into n 7.786 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.786 * [taylor]: Taking taylor expansion of f in f 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.787 * [backup-simplify]: Simplify (+ 1 0) into 1 7.787 * [backup-simplify]: Simplify (* 1 0) into 0 7.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.788 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.789 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.789 * [backup-simplify]: Simplify (/ 1 1) into 1 7.789 * [taylor]: Taking taylor expansion of 1 in n 7.789 * [backup-simplify]: Simplify 1 into 1 7.789 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.791 * [backup-simplify]: Simplify (+ 0 0) into 0 7.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.792 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.792 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.792 * [taylor]: Taking taylor expansion of n in n 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.794 * [backup-simplify]: Simplify (- 0) into 0 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.796 * [backup-simplify]: Simplify (+ 0 0) into 0 7.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.798 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.798 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.798 * [taylor]: Taking taylor expansion of n in n 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (* 1 1) into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.806 * [backup-simplify]: Simplify (- 0) into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.807 * [backup-simplify]: Simplify (/ (- 1) (- (log (exp (/ f (+ n f)))) (/ n (+ n f)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 7.807 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 7.807 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 7.807 * [taylor]: Taking taylor expansion of -1 in n 7.807 * [backup-simplify]: Simplify -1 into -1 7.807 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 7.807 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.807 * [taylor]: Taking taylor expansion of f in n 7.807 * [backup-simplify]: Simplify f into f 7.807 * [taylor]: Taking taylor expansion of (+ n f) in n 7.807 * [taylor]: Taking taylor expansion of n in n 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.807 * [taylor]: Taking taylor expansion of f in n 7.807 * [backup-simplify]: Simplify f into f 7.807 * [backup-simplify]: Simplify (+ 0 f) into f 7.807 * [backup-simplify]: Simplify (/ f f) into 1 7.807 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.807 * [taylor]: Taking taylor expansion of n in n 7.807 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify 1 into 1 7.808 * [taylor]: Taking taylor expansion of (+ n f) in n 7.808 * [taylor]: Taking taylor expansion of n in n 7.808 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify 1 into 1 7.808 * [taylor]: Taking taylor expansion of f in n 7.808 * [backup-simplify]: Simplify f into f 7.808 * [backup-simplify]: Simplify (+ 0 f) into f 7.808 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.808 * [backup-simplify]: Simplify (+ 1 0) into 1 7.809 * [backup-simplify]: Simplify (/ -1 1) into -1 7.809 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 7.809 * [taylor]: Taking taylor expansion of -1 in f 7.809 * [backup-simplify]: Simplify -1 into -1 7.809 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.809 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.809 * [taylor]: Taking taylor expansion of f in f 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [taylor]: Taking taylor expansion of (+ n f) in f 7.809 * [taylor]: Taking taylor expansion of n in f 7.809 * [backup-simplify]: Simplify n into n 7.809 * [taylor]: Taking taylor expansion of f in f 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (+ n 0) into n 7.809 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.809 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.809 * [taylor]: Taking taylor expansion of n in f 7.809 * [backup-simplify]: Simplify n into n 7.809 * [taylor]: Taking taylor expansion of (+ n f) in f 7.809 * [taylor]: Taking taylor expansion of n in f 7.809 * [backup-simplify]: Simplify n into n 7.809 * [taylor]: Taking taylor expansion of f in f 7.809 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (+ n 0) into n 7.810 * [backup-simplify]: Simplify (/ n n) into 1 7.810 * [backup-simplify]: Simplify (- 1) into -1 7.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.811 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.811 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 7.811 * [taylor]: Taking taylor expansion of -1 in f 7.811 * [backup-simplify]: Simplify -1 into -1 7.811 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.811 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.811 * [taylor]: Taking taylor expansion of f in f 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [taylor]: Taking taylor expansion of (+ n f) in f 7.811 * [taylor]: Taking taylor expansion of n in f 7.811 * [backup-simplify]: Simplify n into n 7.811 * [taylor]: Taking taylor expansion of f in f 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify (+ n 0) into n 7.811 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.811 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.811 * [taylor]: Taking taylor expansion of n in f 7.811 * [backup-simplify]: Simplify n into n 7.812 * [taylor]: Taking taylor expansion of (+ n f) in f 7.812 * [taylor]: Taking taylor expansion of n in f 7.812 * [backup-simplify]: Simplify n into n 7.812 * [taylor]: Taking taylor expansion of f in f 7.812 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify 1 into 1 7.812 * [backup-simplify]: Simplify (+ n 0) into n 7.812 * [backup-simplify]: Simplify (/ n n) into 1 7.812 * [backup-simplify]: Simplify (- 1) into -1 7.813 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.813 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.813 * [taylor]: Taking taylor expansion of 1 in n 7.813 * [backup-simplify]: Simplify 1 into 1 7.813 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify (+ 0 1) into 1 7.814 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 7.814 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 7.814 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 7.815 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 7.815 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.815 * [taylor]: Taking taylor expansion of 2 in n 7.815 * [backup-simplify]: Simplify 2 into 2 7.815 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.815 * [taylor]: Taking taylor expansion of n in n 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.815 * [backup-simplify]: Simplify (/ 1 1) into 1 7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify (+ 0 1) into 1 7.817 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.817 * [backup-simplify]: Simplify (+ 0 0) into 0 7.817 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 7.817 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 7.817 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.818 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 7.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.818 * [taylor]: Taking taylor expansion of 2 in n 7.818 * [backup-simplify]: Simplify 2 into 2 7.818 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.818 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.818 * [taylor]: Taking taylor expansion of n in n 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 1 into 1 7.818 * [backup-simplify]: Simplify (* 1 1) into 1 7.818 * [backup-simplify]: Simplify (/ 1 1) into 1 7.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify (+ 0 0) into 0 7.823 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.823 * [backup-simplify]: Simplify (+ 0 0) into 0 7.823 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 7.824 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 7.824 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 7.825 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 7.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.825 * [taylor]: Taking taylor expansion of 2 in n 7.825 * [backup-simplify]: Simplify 2 into 2 7.825 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.825 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.825 * [taylor]: Taking taylor expansion of n in n 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify (* 1 1) into 1 7.825 * [backup-simplify]: Simplify (* 1 1) into 1 7.825 * [backup-simplify]: Simplify (/ 1 1) into 1 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (/ (- 1) (- (log (exp (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 7.831 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 7.831 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 7.831 * [taylor]: Taking taylor expansion of -1 in n 7.831 * [backup-simplify]: Simplify -1 into -1 7.831 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.831 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.832 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.832 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.832 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.832 * [taylor]: Taking taylor expansion of f in n 7.832 * [backup-simplify]: Simplify f into f 7.832 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.832 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.832 * [taylor]: Taking taylor expansion of n in n 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify (/ 1 1) into 1 7.832 * [taylor]: Taking taylor expansion of f in n 7.832 * [backup-simplify]: Simplify f into f 7.832 * [backup-simplify]: Simplify (+ 0 1) into 1 7.833 * [backup-simplify]: Simplify (* 1 f) into f 7.833 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.833 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.833 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.833 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.833 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.833 * [taylor]: Taking taylor expansion of f in n 7.833 * [backup-simplify]: Simplify f into f 7.833 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.833 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.833 * [taylor]: Taking taylor expansion of n in n 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 1 into 1 7.833 * [backup-simplify]: Simplify (/ 1 1) into 1 7.833 * [taylor]: Taking taylor expansion of n in n 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 1 into 1 7.834 * [backup-simplify]: Simplify (+ 0 1) into 1 7.834 * [backup-simplify]: Simplify (* 1 0) into 0 7.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.834 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.835 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.835 * [backup-simplify]: Simplify (/ 1 1) into 1 7.835 * [backup-simplify]: Simplify (- 1) into -1 7.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.836 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.836 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.836 * [taylor]: Taking taylor expansion of -1 in f 7.836 * [backup-simplify]: Simplify -1 into -1 7.836 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.836 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.836 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.836 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.836 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.836 * [taylor]: Taking taylor expansion of f in f 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 1 into 1 7.836 * [backup-simplify]: Simplify (/ 1 1) into 1 7.836 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.836 * [taylor]: Taking taylor expansion of n in f 7.836 * [backup-simplify]: Simplify n into n 7.836 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.836 * [taylor]: Taking taylor expansion of f in f 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify (+ 1 0) into 1 7.837 * [backup-simplify]: Simplify (* 1 0) into 0 7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.837 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.838 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.838 * [backup-simplify]: Simplify (/ 1 1) into 1 7.838 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.838 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.838 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.838 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.838 * [taylor]: Taking taylor expansion of f in f 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (/ 1 1) into 1 7.838 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.838 * [taylor]: Taking taylor expansion of n in f 7.838 * [backup-simplify]: Simplify n into n 7.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.839 * [taylor]: Taking taylor expansion of n in f 7.839 * [backup-simplify]: Simplify n into n 7.839 * [backup-simplify]: Simplify (+ 1 0) into 1 7.839 * [backup-simplify]: Simplify (* 1 n) into n 7.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.839 * [backup-simplify]: Simplify (+ 1 0) into 1 7.840 * [backup-simplify]: Simplify (/ -1 1) into -1 7.840 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.840 * [taylor]: Taking taylor expansion of -1 in f 7.840 * [backup-simplify]: Simplify -1 into -1 7.840 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.840 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.840 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.840 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.840 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.840 * [taylor]: Taking taylor expansion of f in f 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.840 * [taylor]: Taking taylor expansion of n in f 7.840 * [backup-simplify]: Simplify n into n 7.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.840 * [taylor]: Taking taylor expansion of f in f 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (+ 1 0) into 1 7.841 * [backup-simplify]: Simplify (* 1 0) into 0 7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.841 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.842 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.842 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.842 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.842 * [taylor]: Taking taylor expansion of f in f 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.842 * [taylor]: Taking taylor expansion of n in f 7.842 * [backup-simplify]: Simplify n into n 7.842 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.842 * [taylor]: Taking taylor expansion of n in f 7.842 * [backup-simplify]: Simplify n into n 7.843 * [backup-simplify]: Simplify (+ 1 0) into 1 7.843 * [backup-simplify]: Simplify (* 1 n) into n 7.843 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.843 * [backup-simplify]: Simplify (+ 1 0) into 1 7.844 * [backup-simplify]: Simplify (/ -1 1) into -1 7.844 * [taylor]: Taking taylor expansion of -1 in n 7.844 * [backup-simplify]: Simplify -1 into -1 7.844 * [backup-simplify]: Simplify -1 into -1 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.845 * [backup-simplify]: Simplify (+ 0 0) into 0 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.847 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.847 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 7.847 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.848 * [taylor]: Taking taylor expansion of 2 in n 7.848 * [backup-simplify]: Simplify 2 into 2 7.848 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.848 * [taylor]: Taking taylor expansion of n in n 7.848 * [backup-simplify]: Simplify 0 into 0 7.848 * [backup-simplify]: Simplify 1 into 1 7.848 * [backup-simplify]: Simplify (/ 1 1) into 1 7.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.850 * [backup-simplify]: Simplify (- 0) into 0 7.850 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.852 * [backup-simplify]: Simplify (+ 0 0) into 0 7.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.855 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.855 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.856 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.856 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.857 * [taylor]: Taking taylor expansion of 2 in n 7.857 * [backup-simplify]: Simplify 2 into 2 7.857 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.857 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.857 * [taylor]: Taking taylor expansion of n in n 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (* 1 1) into 1 7.858 * [backup-simplify]: Simplify (/ 1 1) into 1 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.863 * [backup-simplify]: Simplify (- 0) into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.865 * [backup-simplify]: Simplify (- 0) into 0 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.867 * [backup-simplify]: Simplify (+ 0 0) into 0 7.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.872 * [backup-simplify]: Simplify (+ 0 0) into 0 7.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.874 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.875 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.876 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.877 * [taylor]: Taking taylor expansion of 2 in n 7.877 * [backup-simplify]: Simplify 2 into 2 7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.877 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.877 * [taylor]: Taking taylor expansion of n in n 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [backup-simplify]: Simplify (* 1 1) into 1 7.878 * [backup-simplify]: Simplify (* 1 1) into 1 7.878 * [backup-simplify]: Simplify (/ 1 1) into 1 7.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (- 0) into 0 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify -1 into -1 7.885 * [backup-simplify]: Simplify (/ (- 1) (- (log (exp (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 7.885 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 7.885 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 7.885 * [taylor]: Taking taylor expansion of -1 in n 7.885 * [backup-simplify]: Simplify -1 into -1 7.885 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.885 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.885 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.885 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.885 * [taylor]: Taking taylor expansion of f in n 7.885 * [backup-simplify]: Simplify f into f 7.885 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.885 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.885 * [taylor]: Taking taylor expansion of n in n 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify (/ 1 1) into 1 7.885 * [taylor]: Taking taylor expansion of f in n 7.885 * [backup-simplify]: Simplify f into f 7.885 * [backup-simplify]: Simplify (+ 0 1) into 1 7.885 * [backup-simplify]: Simplify (* 1 f) into f 7.885 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.886 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.886 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.886 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.886 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.886 * [taylor]: Taking taylor expansion of f in n 7.886 * [backup-simplify]: Simplify f into f 7.886 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.886 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.886 * [taylor]: Taking taylor expansion of n in n 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (/ 1 1) into 1 7.886 * [taylor]: Taking taylor expansion of n in n 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (+ 0 1) into 1 7.887 * [backup-simplify]: Simplify (* 1 0) into 0 7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.887 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.887 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.888 * [backup-simplify]: Simplify (/ 1 1) into 1 7.888 * [backup-simplify]: Simplify (- 1) into -1 7.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.888 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.888 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.888 * [taylor]: Taking taylor expansion of -1 in f 7.888 * [backup-simplify]: Simplify -1 into -1 7.888 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.888 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.888 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.888 * [taylor]: Taking taylor expansion of f in f 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [backup-simplify]: Simplify (/ 1 1) into 1 7.889 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.889 * [taylor]: Taking taylor expansion of n in f 7.889 * [backup-simplify]: Simplify n into n 7.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.889 * [taylor]: Taking taylor expansion of f in f 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [backup-simplify]: Simplify (+ 1 0) into 1 7.893 * [backup-simplify]: Simplify (* 1 0) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.894 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.894 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.895 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.895 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.895 * [taylor]: Taking taylor expansion of f in f 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.895 * [taylor]: Taking taylor expansion of n in f 7.895 * [backup-simplify]: Simplify n into n 7.895 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.895 * [taylor]: Taking taylor expansion of n in f 7.895 * [backup-simplify]: Simplify n into n 7.895 * [backup-simplify]: Simplify (+ 1 0) into 1 7.895 * [backup-simplify]: Simplify (* 1 n) into n 7.895 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.896 * [backup-simplify]: Simplify (+ 1 0) into 1 7.896 * [backup-simplify]: Simplify (/ -1 1) into -1 7.896 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.896 * [taylor]: Taking taylor expansion of -1 in f 7.896 * [backup-simplify]: Simplify -1 into -1 7.896 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.896 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.896 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.896 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.896 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.896 * [taylor]: Taking taylor expansion of f in f 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.896 * [backup-simplify]: Simplify (/ 1 1) into 1 7.896 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.896 * [taylor]: Taking taylor expansion of n in f 7.896 * [backup-simplify]: Simplify n into n 7.897 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.897 * [taylor]: Taking taylor expansion of f in f 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify (+ 1 0) into 1 7.897 * [backup-simplify]: Simplify (* 1 0) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.898 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.898 * [backup-simplify]: Simplify (/ 1 1) into 1 7.898 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.898 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.898 * [taylor]: Taking taylor expansion of f in f 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (/ 1 1) into 1 7.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.899 * [taylor]: Taking taylor expansion of n in f 7.899 * [backup-simplify]: Simplify n into n 7.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.899 * [taylor]: Taking taylor expansion of n in f 7.899 * [backup-simplify]: Simplify n into n 7.899 * [backup-simplify]: Simplify (+ 1 0) into 1 7.899 * [backup-simplify]: Simplify (* 1 n) into n 7.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.899 * [backup-simplify]: Simplify (+ 1 0) into 1 7.900 * [backup-simplify]: Simplify (/ -1 1) into -1 7.900 * [taylor]: Taking taylor expansion of -1 in n 7.900 * [backup-simplify]: Simplify -1 into -1 7.900 * [backup-simplify]: Simplify -1 into -1 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.901 * [backup-simplify]: Simplify (+ 0 0) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.901 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.901 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 7.902 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.902 * [taylor]: Taking taylor expansion of 2 in n 7.902 * [backup-simplify]: Simplify 2 into 2 7.902 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.902 * [taylor]: Taking taylor expansion of n in n 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify (/ 1 1) into 1 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.903 * [backup-simplify]: Simplify (- 0) into 0 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.904 * [backup-simplify]: Simplify (+ 0 0) into 0 7.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.906 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.906 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.906 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.907 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.907 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.907 * [taylor]: Taking taylor expansion of 2 in n 7.907 * [backup-simplify]: Simplify 2 into 2 7.907 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.907 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.907 * [taylor]: Taking taylor expansion of n in n 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (* 1 1) into 1 7.908 * [backup-simplify]: Simplify (/ 1 1) into 1 7.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.913 * [backup-simplify]: Simplify (- 0) into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.915 * [backup-simplify]: Simplify (- 0) into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.917 * [backup-simplify]: Simplify (+ 0 0) into 0 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.923 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.923 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.925 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.925 * [taylor]: Taking taylor expansion of 2 in n 7.925 * [backup-simplify]: Simplify 2 into 2 7.925 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.925 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.925 * [taylor]: Taking taylor expansion of n in n 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (* 1 1) into 1 7.926 * [backup-simplify]: Simplify (* 1 1) into 1 7.926 * [backup-simplify]: Simplify (/ 1 1) into 1 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify -1 into -1 7.936 * * * [progress]: simplifying candidates 7.942 * [simplify]: Simplifying: (log (* (cbrt (exp (/ f (+ n f)))) (cbrt (exp (/ f (+ n f)))))) (log (cbrt (exp (/ f (+ n f))))) (log (sqrt (exp (/ f (+ n f))))) (log (sqrt (exp (/ f (+ n f))))) (log 1) (log (exp (/ f (+ n f)))) (log (exp (/ f (+ n f)))) (log (exp (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))))) (log (exp (sqrt (/ f (+ n f))))) (log (exp (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ n f)) (cbrt (+ n f)))))) (log (exp (/ (* (cbrt f) (cbrt f)) (sqrt (+ n f))))) (log (exp (/ (* (cbrt f) (cbrt f)) 1))) (log (exp (/ (* (cbrt f) (cbrt f)) 1))) (log (exp (/ (sqrt f) (* (cbrt (+ n f)) (cbrt (+ n f)))))) (log (exp (/ (sqrt f) (sqrt (+ n f))))) (log (exp (/ (sqrt f) 1))) (log (exp (/ (sqrt f) 1))) (log (exp (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))))) (log (exp (/ 1 (sqrt (+ n f))))) (log (exp (/ 1 1))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp f)) (log (exp (/ f (+ (pow n 3) (pow f 3))))) (log (exp (/ f (- (* n n) (* f f))))) (log (log (exp (/ f (+ n f))))) (exp (log (exp (/ f (+ n f))))) (* (cbrt (log (exp (/ f (+ n f))))) 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20715 8.693 * * [simplify]: Extracting #6: cost 3 inf + 22133 8.704 * * [simplify]: Extracting #7: cost 0 inf + 22170 8.712 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (/ f (+ n f)))))) (log (cbrt (exp (/ f (+ n f))))) (log (sqrt (exp (/ f (+ n f))))) (log (sqrt (exp (/ f (+ n f))))) 0 (/ f (+ n f)) (/ f (+ n f)) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (sqrt (/ f (+ n f))) (* (/ (cbrt f) (cbrt (+ n f))) (/ (cbrt f) (cbrt (+ n f)))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ n f))) (* (cbrt f) (cbrt f)) (* (cbrt f) (cbrt f)) (/ (/ (sqrt f) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))) (sqrt f) (sqrt f) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 1 1 f (/ f (+ (pow n 3) (pow f 3))) (/ (/ f (+ f n)) (- n f)) (log (/ f (+ n f))) (exp (/ f (+ n f))) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (pow (/ f (+ n f)) 3) (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (exp (- (/ f (+ n f)) (/ n (+ n f)))) (log (- (/ f (+ n f)) (/ n (+ n f)))) 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(+ n f))) (/ n (- (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (- (+ n f))) (/ n (- (+ n f)))) (- (/ f (- (+ n f))) (/ n (- (+ n f)))) (- (/ f (- (+ n f))) (/ n (- (+ n f)))) (/ -1 (- (pow (/ f (+ n f)) 3) (pow (/ n (+ n f)) 3))) (/ -1 (* (+ (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))))) 0 0 0 -1 1 1 0 0 0 1 -1 -1 8.714 * * * [progress]: adding candidates to table 9.475 * [progress]: [Phase 3 of 3] Extracting. 9.475 * * [regime]: Finding splitpoints for: (# # #) 9.476 * * * [regime-changes]: Trying 2 branch expressions: (n f) 9.476 * * * * [regimes]: Trying to branch on n from (# # #) 9.520 * * * * [regimes]: Trying to branch on f from (# # #) 9.559 * * * [regime]: Found split indices: #