0.558 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.134 * * * [progress]: [2/2] Setting up program. 0.142 * [progress]: [Phase 2 of 3] Improving. 0.146 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.147 * * [simplify]: iteration 0: 6 enodes 0.156 * * [simplify]: iteration 1: 13 enodes 0.160 * * [simplify]: iteration 2: 16 enodes 0.165 * * [simplify]: iteration 3: 20 enodes 0.170 * * [simplify]: iteration 4: 24 enodes 0.176 * * [simplify]: iteration 5: 29 enodes 0.183 * * [simplify]: iteration 6: 31 enodes 0.190 * * [simplify]: iteration complete: 31 enodes 0.191 * * [simplify]: Extracting #0: cost 1 inf + 0 0.191 * * [simplify]: Extracting #1: cost 9 inf + 0 0.191 * * [simplify]: Extracting #2: cost 14 inf + 0 0.192 * * [simplify]: Extracting #3: cost 11 inf + 43 0.192 * * [simplify]: Extracting #4: cost 2 inf + 860 0.193 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.193 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.196 * * [progress]: iteration 1 / 4 0.196 * * * [progress]: picking best candidate 0.202 * * * * [pick]: Picked # 0.202 * * * [progress]: localizing error 0.222 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.319 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.326 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.326 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.328 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.328 * [taylor]: Taking taylor expansion of -1 in n 0.328 * [backup-simplify]: Simplify -1 into -1 0.328 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.328 * [taylor]: Taking taylor expansion of (+ n f) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of f in n 0.328 * [backup-simplify]: Simplify f into f 0.328 * [taylor]: Taking taylor expansion of (- f n) in n 0.328 * [taylor]: Taking taylor expansion of f in n 0.328 * [backup-simplify]: Simplify f into f 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (+ 0 f) into f 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ f 0) into f 0.330 * [backup-simplify]: Simplify (/ f f) into 1 0.330 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.330 * [taylor]: Taking taylor expansion of -1 in f 0.330 * [backup-simplify]: Simplify -1 into -1 0.330 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.330 * [taylor]: Taking taylor expansion of (+ n f) in f 0.330 * [taylor]: Taking taylor expansion of n in f 0.330 * [backup-simplify]: Simplify n into n 0.330 * [taylor]: Taking taylor expansion of f in f 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (- f n) in f 0.330 * [taylor]: Taking taylor expansion of f in f 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of n in f 0.330 * [backup-simplify]: Simplify n into n 0.330 * [backup-simplify]: Simplify (+ n 0) into n 0.330 * [backup-simplify]: Simplify (- n) into (- n) 0.330 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.330 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.330 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.330 * [taylor]: Taking taylor expansion of -1 in f 0.330 * [backup-simplify]: Simplify -1 into -1 0.330 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.330 * [taylor]: Taking taylor expansion of (+ n f) in f 0.330 * [taylor]: Taking taylor expansion of n in f 0.330 * [backup-simplify]: Simplify n into n 0.331 * [taylor]: Taking taylor expansion of f in f 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (- f n) in f 0.331 * [taylor]: Taking taylor expansion of f in f 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of n in f 0.331 * [backup-simplify]: Simplify n into n 0.331 * [backup-simplify]: Simplify (+ n 0) into n 0.331 * [backup-simplify]: Simplify (- n) into (- n) 0.331 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.331 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.332 * [backup-simplify]: Simplify (* -1 -1) into 1 0.332 * [taylor]: Taking taylor expansion of 1 in n 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.337 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.337 * [taylor]: Taking taylor expansion of 2 in n 0.337 * [backup-simplify]: Simplify 2 into 2 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.342 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.342 * [taylor]: Taking taylor expansion of 2 in n 0.343 * [backup-simplify]: Simplify 2 into 2 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.343 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.353 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.353 * [taylor]: Taking taylor expansion of 2 in n 0.353 * [backup-simplify]: Simplify 2 into 2 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.353 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [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 0.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.363 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.363 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.363 * [taylor]: Taking taylor expansion of -1 in n 0.363 * [backup-simplify]: Simplify -1 into -1 0.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.364 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.364 * [taylor]: Taking taylor expansion of f in n 0.364 * [backup-simplify]: Simplify f into f 0.364 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.364 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.364 * [taylor]: Taking taylor expansion of f in n 0.364 * [backup-simplify]: Simplify f into f 0.365 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.365 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.365 * [taylor]: Taking taylor expansion of n in n 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (+ 0 1) into 1 0.366 * [backup-simplify]: Simplify (- 1) into -1 0.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.367 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.367 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.367 * [taylor]: Taking taylor expansion of -1 in f 0.367 * [backup-simplify]: Simplify -1 into -1 0.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 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 0.367 * [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 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [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 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.369 * [taylor]: Taking taylor expansion of -1 in f 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.369 * [taylor]: Taking taylor expansion of f in f 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.370 * [taylor]: Taking taylor expansion of n in f 0.370 * [backup-simplify]: Simplify n into n 0.370 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.370 * [taylor]: Taking taylor expansion of f in f 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.370 * [taylor]: Taking taylor expansion of n in f 0.370 * [backup-simplify]: Simplify n into n 0.370 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (* -1 1) into -1 0.372 * [taylor]: Taking taylor expansion of -1 in n 0.372 * [backup-simplify]: Simplify -1 into -1 0.372 * [backup-simplify]: Simplify -1 into -1 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.374 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.374 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.374 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.374 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.375 * [taylor]: Taking taylor expansion of 2 in n 0.375 * [backup-simplify]: Simplify 2 into 2 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.375 * [taylor]: Taking taylor expansion of n in n 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.383 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.383 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.383 * [taylor]: Taking taylor expansion of 2 in n 0.383 * [backup-simplify]: Simplify 2 into 2 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.383 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.383 * [taylor]: Taking taylor expansion of n in n 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.396 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.396 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.396 * [taylor]: Taking taylor expansion of 2 in n 0.396 * [backup-simplify]: Simplify 2 into 2 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.396 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify -1 into -1 0.407 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.407 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.407 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.407 * [taylor]: Taking taylor expansion of f in n 0.407 * [backup-simplify]: Simplify f into f 0.407 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.407 * [taylor]: Taking taylor expansion of n in n 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.409 * [taylor]: Taking taylor expansion of f in n 0.409 * [backup-simplify]: Simplify f into f 0.409 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.410 * [taylor]: Taking taylor expansion of f in f 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.410 * [taylor]: Taking taylor expansion of n in f 0.410 * [backup-simplify]: Simplify n into n 0.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.411 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.411 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.411 * [taylor]: Taking taylor expansion of n in f 0.411 * [backup-simplify]: Simplify n into n 0.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.411 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.411 * [taylor]: Taking taylor expansion of f in f 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (- 1) into -1 0.412 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.413 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.413 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.413 * [taylor]: Taking taylor expansion of f in f 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.413 * [taylor]: Taking taylor expansion of n in f 0.413 * [backup-simplify]: Simplify n into n 0.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.413 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.414 * [taylor]: Taking taylor expansion of n in f 0.414 * [backup-simplify]: Simplify n into n 0.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.414 * [taylor]: Taking taylor expansion of f in f 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (+ 1 0) into 1 0.415 * [backup-simplify]: Simplify (- 1) into -1 0.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.416 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.416 * [taylor]: Taking taylor expansion of -1 in n 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [backup-simplify]: Simplify -1 into -1 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.418 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.418 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.418 * [taylor]: Taking taylor expansion of 2 in n 0.418 * [backup-simplify]: Simplify 2 into 2 0.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.427 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.427 * [taylor]: Taking taylor expansion of 2 in n 0.427 * [backup-simplify]: Simplify 2 into 2 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.427 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.427 * [taylor]: Taking taylor expansion of n in n 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.444 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.444 * [taylor]: Taking taylor expansion of 2 in n 0.444 * [backup-simplify]: Simplify 2 into 2 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.444 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.444 * [taylor]: Taking taylor expansion of n in n 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * * * [progress]: simplifying candidates 0.452 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.453 * * [simplify]: iteration 0: 135 enodes 0.482 * * [simplify]: iteration 1: 316 enodes 0.546 * * [simplify]: iteration 2: 708 enodes 0.864 * * [simplify]: iteration 3: 2249 enodes 2.192 * * [simplify]: iteration complete: 5005 enodes 2.192 * * [simplify]: Extracting #0: cost 88 inf + 0 2.193 * * [simplify]: Extracting #1: cost 479 inf + 3 2.198 * * [simplify]: Extracting #2: cost 829 inf + 8175 2.227 * * [simplify]: Extracting #3: cost 779 inf + 76041 2.280 * * [simplify]: Extracting #4: cost 260 inf + 196234 2.381 * * [simplify]: Extracting #5: cost 91 inf + 238474 2.445 * * [simplify]: Extracting #6: cost 8 inf + 251008 2.528 * * [simplify]: Extracting #7: cost 0 inf + 253031 2.628 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))) (* (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 (/ (+ 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)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt 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)) (cbrt (+ n f))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (cbrt (+ n f)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ n f)))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (/ (+ n f) (cbrt (- f n)))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (- (/ 1 (- f n))) (* (- f n) (fma n n (* f (- f n)))) (* (- f n) (- f n)) 1 -1 -1 2.639 * * * [progress]: adding candidates to table 3.057 * * [progress]: iteration 2 / 4 3.057 * * * [progress]: picking best candidate 3.067 * * * * [pick]: Picked # 3.067 * * * [progress]: localizing error 3.090 * * * [progress]: generating rewritten candidates 3.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.269 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.483 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.749 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.839 * * * [progress]: generating series expansions 3.839 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.840 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 3.840 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 3.840 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 3.840 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 3.840 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.840 * [taylor]: Taking taylor expansion of -1 in n 3.840 * [backup-simplify]: Simplify -1 into -1 3.841 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.842 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.842 * [taylor]: Taking taylor expansion of (+ n f) in n 3.842 * [taylor]: Taking taylor expansion of n in n 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of f in n 3.842 * [backup-simplify]: Simplify f into f 3.842 * [taylor]: Taking taylor expansion of (- f n) in n 3.842 * [taylor]: Taking taylor expansion of f in n 3.842 * [backup-simplify]: Simplify f into f 3.842 * [taylor]: Taking taylor expansion of n in n 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (+ 0 f) into f 3.843 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.843 * [backup-simplify]: Simplify (+ f 0) into f 3.844 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 3.844 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 3.844 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 3.844 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.844 * [taylor]: Taking taylor expansion of -1 in f 3.844 * [backup-simplify]: Simplify -1 into -1 3.844 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.845 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.845 * [taylor]: Taking taylor expansion of (+ n f) in f 3.845 * [taylor]: Taking taylor expansion of n in f 3.845 * [backup-simplify]: Simplify n into n 3.845 * [taylor]: Taking taylor expansion of f in f 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [taylor]: Taking taylor expansion of (- f n) in f 3.845 * [taylor]: Taking taylor expansion of f in f 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [taylor]: Taking taylor expansion of n in f 3.845 * [backup-simplify]: Simplify n into n 3.845 * [backup-simplify]: Simplify (+ n 0) into n 3.846 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 3.846 * [backup-simplify]: Simplify (- n) into (- n) 3.846 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.846 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 3.846 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 3.846 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 3.846 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.846 * [taylor]: Taking taylor expansion of -1 in f 3.846 * [backup-simplify]: Simplify -1 into -1 3.847 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.848 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.848 * [taylor]: Taking taylor expansion of (+ n f) in f 3.848 * [taylor]: Taking taylor expansion of n in f 3.848 * [backup-simplify]: Simplify n into n 3.848 * [taylor]: Taking taylor expansion of f in f 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [taylor]: Taking taylor expansion of (- f n) in f 3.848 * [taylor]: Taking taylor expansion of f in f 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [taylor]: Taking taylor expansion of n in f 3.848 * [backup-simplify]: Simplify n into n 3.848 * [backup-simplify]: Simplify (+ n 0) into n 3.849 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 3.849 * [backup-simplify]: Simplify (- n) into (- n) 3.849 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.849 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 3.849 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 3.849 * [taylor]: Taking taylor expansion of -1 in n 3.849 * [backup-simplify]: Simplify -1 into -1 3.849 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.850 * [taylor]: Taking taylor expansion of -1 in n 3.850 * [backup-simplify]: Simplify -1 into -1 3.850 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.851 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.852 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.853 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.853 * [backup-simplify]: Simplify (+ 0 1) into 1 3.854 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 3.854 * [backup-simplify]: Simplify (- 0) into 0 3.855 * [backup-simplify]: Simplify (+ 1 0) into 1 3.856 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 3.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 3.857 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 3.857 * [taylor]: Taking taylor expansion of 2 in n 3.857 * [backup-simplify]: Simplify 2 into 2 3.857 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.857 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.857 * [taylor]: Taking taylor expansion of -1 in n 3.857 * [backup-simplify]: Simplify -1 into -1 3.857 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.858 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.858 * [taylor]: Taking taylor expansion of n in n 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.865 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 3.865 * [backup-simplify]: Simplify (- 0) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.868 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 3.868 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 3.868 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 3.868 * [taylor]: Taking taylor expansion of 2 in n 3.868 * [backup-simplify]: Simplify 2 into 2 3.868 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.868 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.868 * [taylor]: Taking taylor expansion of -1 in n 3.868 * [backup-simplify]: Simplify -1 into -1 3.869 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.870 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.870 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.870 * [taylor]: Taking taylor expansion of n in n 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify (* 1 1) into 1 3.871 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.878 * [backup-simplify]: Simplify (- 0) into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.882 * [backup-simplify]: Simplify (- 0) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.885 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.888 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 3.892 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 3.892 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 3.892 * [taylor]: Taking taylor expansion of 2 in n 3.892 * [backup-simplify]: Simplify 2 into 2 3.892 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.892 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.892 * [taylor]: Taking taylor expansion of -1 in n 3.892 * [backup-simplify]: Simplify -1 into -1 3.892 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.893 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.893 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.893 * [taylor]: Taking taylor expansion of n in n 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.894 * [backup-simplify]: Simplify (* 1 1) into 1 3.894 * [backup-simplify]: Simplify (* 1 1) into 1 3.895 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.909 * [backup-simplify]: Simplify (- 0) into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 3.911 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) 3.911 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 3.911 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 3.912 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 3.912 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.912 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.912 * [taylor]: Taking taylor expansion of f in n 3.912 * [backup-simplify]: Simplify f into f 3.912 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.912 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.912 * [taylor]: Taking taylor expansion of n in n 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.912 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.912 * [taylor]: Taking taylor expansion of -1 in n 3.912 * [backup-simplify]: Simplify -1 into -1 3.913 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.913 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.914 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.914 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.914 * [taylor]: Taking taylor expansion of f in n 3.914 * [backup-simplify]: Simplify f into f 3.914 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.914 * [taylor]: Taking taylor expansion of n in n 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (/ 1 1) into 1 3.915 * [backup-simplify]: Simplify (+ 0 1) into 1 3.915 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 3.916 * [backup-simplify]: Simplify (- 1) into -1 3.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.917 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 3.917 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 3.917 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 3.917 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.917 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.917 * [taylor]: Taking taylor expansion of f in f 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.918 * [taylor]: Taking taylor expansion of n in f 3.918 * [backup-simplify]: Simplify n into n 3.918 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.918 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.918 * [taylor]: Taking taylor expansion of -1 in f 3.918 * [backup-simplify]: Simplify -1 into -1 3.918 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.919 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.919 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.919 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.919 * [taylor]: Taking taylor expansion of f in f 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.920 * [taylor]: Taking taylor expansion of n in f 3.920 * [backup-simplify]: Simplify n into n 3.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.920 * [backup-simplify]: Simplify (+ 1 0) into 1 3.921 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 3.922 * [backup-simplify]: Simplify (+ 1 0) into 1 3.923 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.923 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 3.923 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 3.923 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.923 * [taylor]: Taking taylor expansion of f in f 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.923 * [taylor]: Taking taylor expansion of n in f 3.923 * [backup-simplify]: Simplify n into n 3.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.923 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.923 * [taylor]: Taking taylor expansion of -1 in f 3.923 * [backup-simplify]: Simplify -1 into -1 3.924 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.924 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.925 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.925 * [taylor]: Taking taylor expansion of f in f 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (/ 1 1) into 1 3.925 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.925 * [taylor]: Taking taylor expansion of n in f 3.925 * [backup-simplify]: Simplify n into n 3.925 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.926 * [backup-simplify]: Simplify (+ 1 0) into 1 3.927 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 3.927 * [backup-simplify]: Simplify (+ 1 0) into 1 3.928 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.928 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.928 * [taylor]: Taking taylor expansion of -1 in n 3.928 * [backup-simplify]: Simplify -1 into -1 3.929 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.930 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.930 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.932 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) (cbrt -1))) into (/ (cbrt -1) n) 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.933 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.934 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 3.934 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 3.934 * [taylor]: Taking taylor expansion of 2 in n 3.934 * [backup-simplify]: Simplify 2 into 2 3.934 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.934 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.934 * [taylor]: Taking taylor expansion of -1 in n 3.934 * [backup-simplify]: Simplify -1 into -1 3.935 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.935 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.935 * [taylor]: Taking taylor expansion of n in n 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.937 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.941 * [backup-simplify]: Simplify (+ 0 0) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 (cbrt -1)))) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify (+ 0 0) into 0 3.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 3.946 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 3.946 * [taylor]: Taking taylor expansion of 2 in n 3.946 * [backup-simplify]: Simplify 2 into 2 3.946 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.946 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.946 * [taylor]: Taking taylor expansion of -1 in n 3.946 * [backup-simplify]: Simplify -1 into -1 3.947 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.948 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.948 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.948 * [taylor]: Taking taylor expansion of n in n 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [backup-simplify]: Simplify (* 1 1) into 1 3.949 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.956 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.964 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.967 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 3.970 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 3.970 * [taylor]: Taking taylor expansion of 2 in n 3.970 * [backup-simplify]: Simplify 2 into 2 3.970 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.970 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.970 * [taylor]: Taking taylor expansion of -1 in n 3.970 * [backup-simplify]: Simplify -1 into -1 3.971 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.971 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.971 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.972 * [taylor]: Taking taylor expansion of n in n 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (* 1 1) into 1 3.972 * [backup-simplify]: Simplify (* 1 1) into 1 3.973 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.993 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.993 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.993 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.993 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.993 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.993 * [taylor]: Taking taylor expansion of f in n 3.993 * [backup-simplify]: Simplify f into f 3.993 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.993 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.994 * [taylor]: Taking taylor expansion of n in n 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.994 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.994 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.994 * [taylor]: Taking taylor expansion of n in n 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.995 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.995 * [taylor]: Taking taylor expansion of f in n 3.995 * [backup-simplify]: Simplify f into f 3.995 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.995 * [backup-simplify]: Simplify (+ 0 1) into 1 3.995 * [backup-simplify]: Simplify (+ 1 0) into 1 3.996 * [backup-simplify]: Simplify (/ 1 1) into 1 3.996 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.996 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.996 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.996 * [taylor]: Taking taylor expansion of f in f 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (/ 1 1) into 1 3.996 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.996 * [taylor]: Taking taylor expansion of n in f 3.996 * [backup-simplify]: Simplify n into n 3.997 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.997 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.997 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.997 * [taylor]: Taking taylor expansion of n in f 3.997 * [backup-simplify]: Simplify n into n 3.997 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.997 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.997 * [taylor]: Taking taylor expansion of f in f 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [backup-simplify]: Simplify (+ 1 0) into 1 3.998 * [backup-simplify]: Simplify (- 1) into -1 3.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.999 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.999 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.999 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.999 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.999 * [taylor]: Taking taylor expansion of f in f 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.999 * [taylor]: Taking taylor expansion of n in f 3.999 * [backup-simplify]: Simplify n into n 3.999 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.999 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.999 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.000 * [taylor]: Taking taylor expansion of n in f 4.000 * [backup-simplify]: Simplify n into n 4.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.000 * [taylor]: Taking taylor expansion of f in f 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (/ 1 1) into 1 4.000 * [backup-simplify]: Simplify (+ 1 0) into 1 4.001 * [backup-simplify]: Simplify (- 1) into -1 4.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.002 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.002 * [taylor]: Taking taylor expansion of -1 in n 4.002 * [backup-simplify]: Simplify -1 into -1 4.002 * [backup-simplify]: Simplify -1 into -1 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (- 0) into 0 4.004 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.004 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.004 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.004 * [taylor]: Taking taylor expansion of 2 in n 4.004 * [backup-simplify]: Simplify 2 into 2 4.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.004 * [taylor]: Taking taylor expansion of n in n 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (/ 1 1) into 1 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.007 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (- 0) into 0 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.011 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.011 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 4.012 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.012 * [taylor]: Taking taylor expansion of n in n 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 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 1))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify (- 0) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (- 0) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [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)))) 4.024 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.025 * [taylor]: Taking taylor expansion of 2 in n 4.025 * [backup-simplify]: Simplify 2 into 2 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.025 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.025 * [taylor]: Taking taylor expansion of n in n 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify -1 into -1 4.035 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.036 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 4.036 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 4.036 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 4.036 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 4.036 * [taylor]: Taking taylor expansion of (+ n f) in n 4.036 * [taylor]: Taking taylor expansion of n in n 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [taylor]: Taking taylor expansion of f in n 4.036 * [backup-simplify]: Simplify f into f 4.036 * [backup-simplify]: Simplify (+ 0 f) into f 4.036 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 4.036 * [taylor]: Taking taylor expansion of (- f n) in n 4.036 * [taylor]: Taking taylor expansion of f in n 4.036 * [backup-simplify]: Simplify f into f 4.036 * [taylor]: Taking taylor expansion of n in n 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (- 0) into 0 4.037 * [backup-simplify]: Simplify (+ f 0) into f 4.037 * [backup-simplify]: Simplify (* f f) into (pow f 2) 4.037 * [backup-simplify]: Simplify (* f f) into (pow f 2) 4.037 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 4.037 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 4.037 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 4.037 * [taylor]: Taking taylor expansion of (+ n f) in f 4.037 * [taylor]: Taking taylor expansion of n in f 4.037 * [backup-simplify]: Simplify n into n 4.037 * [taylor]: Taking taylor expansion of f in f 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (+ n 0) into n 4.037 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 4.037 * [taylor]: Taking taylor expansion of (- f n) in f 4.037 * [taylor]: Taking taylor expansion of f in f 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [taylor]: Taking taylor expansion of n in f 4.037 * [backup-simplify]: Simplify n into n 4.037 * [backup-simplify]: Simplify (- n) into (- n) 4.037 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.038 * [backup-simplify]: Simplify (* n n) into (pow n 2) 4.038 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 4.038 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 4.038 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 4.038 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 4.038 * [taylor]: Taking taylor expansion of (+ n f) in f 4.038 * [taylor]: Taking taylor expansion of n in f 4.038 * [backup-simplify]: Simplify n into n 4.038 * [taylor]: Taking taylor expansion of f in f 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (+ n 0) into n 4.038 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 4.038 * [taylor]: Taking taylor expansion of (- f n) in f 4.038 * [taylor]: Taking taylor expansion of f in f 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [taylor]: Taking taylor expansion of n in f 4.038 * [backup-simplify]: Simplify n into n 4.038 * [backup-simplify]: Simplify (- n) into (- n) 4.038 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.038 * [backup-simplify]: Simplify (* n n) into (pow n 2) 4.039 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 4.039 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 4.039 * [taylor]: Taking taylor expansion of 1 in n 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (+ 0 1) into 1 4.040 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 4.040 * [backup-simplify]: Simplify (- 0) into 0 4.040 * [backup-simplify]: Simplify (+ 1 0) into 1 4.040 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 4.041 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 4.041 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 4.041 * [taylor]: Taking taylor expansion of 4 in n 4.041 * [backup-simplify]: Simplify 4 into 4 4.041 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.041 * [taylor]: Taking taylor expansion of n in n 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.046 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 4.046 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 4.047 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 4.047 * [taylor]: Taking taylor expansion of 8 in n 4.047 * [backup-simplify]: Simplify 8 into 8 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 4.049 * [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 (+ (* 8 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 (+ (* 4 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 0) into 0 4.054 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 4.055 * [backup-simplify]: Simplify (- 0) into 0 4.055 * [backup-simplify]: Simplify (+ 0 0) into 0 4.056 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 4.056 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 4.056 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 4.056 * [taylor]: Taking taylor expansion of 12 in n 4.056 * [backup-simplify]: Simplify 12 into 12 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.056 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.056 * [taylor]: Taking taylor expansion of n in n 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* 1 1) into 1 4.057 * [backup-simplify]: Simplify (* 1 1) into 1 4.057 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 4.063 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 4.063 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 4.063 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 4.063 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.063 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.063 * [taylor]: Taking taylor expansion of f in n 4.063 * [backup-simplify]: Simplify f into f 4.063 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.063 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.063 * [taylor]: Taking taylor expansion of n in n 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [backup-simplify]: Simplify (+ 0 1) into 1 4.063 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 4.063 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.063 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.063 * [taylor]: Taking taylor expansion of f in n 4.063 * [backup-simplify]: Simplify f into f 4.063 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.063 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.063 * [taylor]: Taking taylor expansion of n in n 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (/ 1 1) into 1 4.064 * [backup-simplify]: Simplify (- 1) into -1 4.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.065 * [backup-simplify]: Simplify (* -1 -1) into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 4.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 4.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.065 * [taylor]: Taking taylor expansion of f in f 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.065 * [taylor]: Taking taylor expansion of n in f 4.065 * [backup-simplify]: Simplify n into n 4.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.066 * [backup-simplify]: Simplify (+ 1 0) into 1 4.066 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 4.066 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.066 * [taylor]: Taking taylor expansion of f in f 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ 1 1) into 1 4.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.066 * [taylor]: Taking taylor expansion of n in f 4.066 * [backup-simplify]: Simplify n into n 4.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.066 * [backup-simplify]: Simplify (+ 1 0) into 1 4.066 * [backup-simplify]: Simplify (* 1 1) into 1 4.067 * [backup-simplify]: Simplify (* 1 1) into 1 4.067 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 4.067 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.067 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.067 * [taylor]: Taking taylor expansion of f in f 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.067 * [taylor]: Taking taylor expansion of n in f 4.067 * [backup-simplify]: Simplify n into n 4.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.068 * [backup-simplify]: Simplify (+ 1 0) into 1 4.068 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 4.068 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.068 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.068 * [taylor]: Taking taylor expansion of f in f 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (/ 1 1) into 1 4.068 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.068 * [taylor]: Taking taylor expansion of n in f 4.068 * [backup-simplify]: Simplify n into n 4.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.068 * [backup-simplify]: Simplify (+ 1 0) into 1 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [taylor]: Taking taylor expansion of 1 in n 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.070 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.070 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.070 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 4.071 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 4.071 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 4.071 * [taylor]: Taking taylor expansion of 4 in n 4.071 * [backup-simplify]: Simplify 4 into 4 4.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.071 * [taylor]: Taking taylor expansion of n in n 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (/ 1 1) into 1 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 4 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.074 * [backup-simplify]: Simplify (- 0) into 0 4.074 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 4.075 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 4.075 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 4.075 * [taylor]: Taking taylor expansion of 8 in n 4.075 * [backup-simplify]: Simplify 8 into 8 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.075 * [taylor]: Taking taylor expansion of (pow n 2) in n 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 4.076 * [backup-simplify]: Simplify (* 1 1) into 1 4.076 * [backup-simplify]: Simplify (/ 1 1) into 1 4.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 4.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 4.085 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 4.085 * [taylor]: Taking taylor expansion of 12 in n 4.086 * [backup-simplify]: Simplify 12 into 12 4.086 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.086 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.086 * [taylor]: Taking taylor expansion of n in n 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (* 1 1) into 1 4.087 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 4.095 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 4.095 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 4.095 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 4.095 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.095 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.095 * [taylor]: Taking taylor expansion of f in n 4.095 * [backup-simplify]: Simplify f into f 4.095 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.095 * [taylor]: Taking taylor expansion of n in n 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (/ 1 1) into 1 4.096 * [backup-simplify]: Simplify (+ 0 1) into 1 4.096 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 4.096 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.096 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.096 * [taylor]: Taking taylor expansion of n in n 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (/ 1 1) into 1 4.096 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.096 * [taylor]: Taking taylor expansion of f in n 4.096 * [backup-simplify]: Simplify f into f 4.096 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.097 * [backup-simplify]: Simplify (+ 1 0) into 1 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 4.097 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 4.097 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.097 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.097 * [taylor]: Taking taylor expansion of f in f 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (/ 1 1) into 1 4.098 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.098 * [taylor]: Taking taylor expansion of n in f 4.098 * [backup-simplify]: Simplify n into n 4.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.098 * [backup-simplify]: Simplify (+ 1 0) into 1 4.098 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 4.098 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.098 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.098 * [taylor]: Taking taylor expansion of n in f 4.098 * [backup-simplify]: Simplify n into n 4.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.098 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.098 * [taylor]: Taking taylor expansion of f in f 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) into -1 4.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (* -1 -1) into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 4.100 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 4.100 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.100 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.100 * [taylor]: Taking taylor expansion of f in f 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.100 * [taylor]: Taking taylor expansion of n in f 4.100 * [backup-simplify]: Simplify n into n 4.100 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.100 * [backup-simplify]: Simplify (+ 1 0) into 1 4.100 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 4.100 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.100 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.100 * [taylor]: Taking taylor expansion of n in f 4.100 * [backup-simplify]: Simplify n into n 4.100 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.100 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.100 * [taylor]: Taking taylor expansion of f in f 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [backup-simplify]: Simplify (- 1) into -1 4.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.101 * [backup-simplify]: Simplify (* 1 1) into 1 4.102 * [backup-simplify]: Simplify (* -1 -1) into 1 4.102 * [backup-simplify]: Simplify (/ 1 1) into 1 4.102 * [taylor]: Taking taylor expansion of 1 in n 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.103 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.103 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 4.104 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 4.104 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 4.104 * [taylor]: Taking taylor expansion of 4 in n 4.104 * [backup-simplify]: Simplify 4 into 4 4.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.104 * [taylor]: Taking taylor expansion of n in n 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (/ 1 1) into 1 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) 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)))) into 0 4.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.106 * [backup-simplify]: Simplify (+ 0 0) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 4.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 4.112 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 4.112 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 4.112 * [taylor]: Taking taylor expansion of 8 in n 4.112 * [backup-simplify]: Simplify 8 into 8 4.112 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.112 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.112 * [taylor]: Taking taylor expansion of n in n 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (- 0) into 0 4.119 * [backup-simplify]: Simplify (+ 0 0) into 0 4.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 4.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 4.120 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 4.120 * [taylor]: Taking taylor expansion of 12 in n 4.120 * [backup-simplify]: Simplify 12 into 12 4.120 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.120 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.120 * [taylor]: Taking taylor expansion of n in n 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (* 1 1) into 1 4.121 * [backup-simplify]: Simplify (* 1 1) into 1 4.121 * [backup-simplify]: Simplify (/ 1 1) into 1 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.130 * [backup-simplify]: Simplify (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) into (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) 4.130 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in (f n) around 0 4.130 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in n 4.130 * [taylor]: Taking taylor expansion of -1 in n 4.130 * [backup-simplify]: Simplify -1 into -1 4.130 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in n 4.130 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in n 4.130 * [taylor]: Taking taylor expansion of (+ n f) in n 4.130 * [taylor]: Taking taylor expansion of n in n 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [taylor]: Taking taylor expansion of f in n 4.131 * [backup-simplify]: Simplify f into f 4.131 * [backup-simplify]: Simplify (+ 0 f) into f 4.131 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n 4.131 * [taylor]: Taking taylor expansion of (- f n) in n 4.131 * [taylor]: Taking taylor expansion of f in n 4.131 * [backup-simplify]: Simplify f into f 4.131 * [taylor]: Taking taylor expansion of n in n 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (- 0) into 0 4.131 * [backup-simplify]: Simplify (+ f 0) into f 4.131 * [backup-simplify]: Simplify (* f f) into (pow f 2) 4.131 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 4.132 * [backup-simplify]: Simplify (* f f) into (pow f 2) 4.132 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 4.132 * [backup-simplify]: Simplify (/ (pow f 3) (pow f 3)) into 1 4.132 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 4.132 * [taylor]: Taking taylor expansion of -1 in f 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 4.132 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 4.132 * [taylor]: Taking taylor expansion of (+ n f) in f 4.132 * [taylor]: Taking taylor expansion of n in f 4.132 * [backup-simplify]: Simplify n into n 4.132 * [taylor]: Taking taylor expansion of f in f 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (+ n 0) into n 4.132 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 4.132 * [taylor]: Taking taylor expansion of (- f n) in f 4.132 * [taylor]: Taking taylor expansion of f in f 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [taylor]: Taking taylor expansion of n in f 4.132 * [backup-simplify]: Simplify n into n 4.132 * [backup-simplify]: Simplify (- n) into (- n) 4.133 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.133 * [backup-simplify]: Simplify (* n n) into (pow n 2) 4.133 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 4.133 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 4.133 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 4.133 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 4.133 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 4.133 * [taylor]: Taking taylor expansion of -1 in f 4.133 * [backup-simplify]: Simplify -1 into -1 4.133 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 4.133 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 4.133 * [taylor]: Taking taylor expansion of (+ n f) in f 4.133 * [taylor]: Taking taylor expansion of n in f 4.133 * [backup-simplify]: Simplify n into n 4.133 * [taylor]: Taking taylor expansion of f in f 4.133 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (+ n 0) into n 4.134 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 4.134 * [taylor]: Taking taylor expansion of (- f n) in f 4.134 * [taylor]: Taking taylor expansion of f in f 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [taylor]: Taking taylor expansion of n in f 4.134 * [backup-simplify]: Simplify n into n 4.134 * [backup-simplify]: Simplify (- n) into (- n) 4.134 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.134 * [backup-simplify]: Simplify (* n n) into (pow n 2) 4.134 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 4.134 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 4.134 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 4.135 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 4.135 * [backup-simplify]: Simplify (* -1 -1) into 1 4.135 * [taylor]: Taking taylor expansion of 1 in n 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (+ 0 1) into 1 4.136 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 4.136 * [backup-simplify]: Simplify (+ (* n (* 2 n)) (* 1 (pow n 2))) into (* 3 (pow n 2)) 4.136 * [backup-simplify]: Simplify (- 0) into 0 4.137 * [backup-simplify]: Simplify (+ 1 0) into 1 4.137 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 4.138 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2)) 4.138 * [backup-simplify]: Simplify (- (/ (* 3 (pow n 2)) (* -1 (pow n 3))) (+ (* -1 (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 6 (/ 1 n))) 4.139 * [backup-simplify]: Simplify (+ (* -1 (- (* 6 (/ 1 n)))) (* 0 -1)) into (* 6 (/ 1 n)) 4.139 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.139 * [taylor]: Taking taylor expansion of 6 in n 4.139 * [backup-simplify]: Simplify 6 into 6 4.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.139 * [taylor]: Taking taylor expansion of n in n 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.142 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 4.142 * [backup-simplify]: Simplify (+ (* n 1) (+ (* 1 (* 2 n)) (* 0 (pow n 2)))) into (* 3 n) 4.142 * [backup-simplify]: Simplify (- 0) into 0 4.143 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 4.144 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n)) 4.145 * [backup-simplify]: Simplify (- (/ (* 3 n) (* -1 (pow n 3))) (+ (* -1 (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 18 (/ 1 (pow n 2)))) 4.145 * [backup-simplify]: Simplify (+ (* -1 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1))) into (* 18 (/ 1 (pow n 2))) 4.146 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.146 * [taylor]: Taking taylor expansion of 18 in n 4.146 * [backup-simplify]: Simplify 18 into 18 4.146 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.146 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.146 * [taylor]: Taking taylor expansion of n in n 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (* 1 1) into 1 4.147 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 4.153 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2))))) into 1 4.153 * [backup-simplify]: Simplify (- 0) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 4.154 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (+ (* 0 (- (* 2 n))) (* 0 (pow n 2))))) into 1 4.155 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* -1 (/ 1 (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 38 (/ 1 (pow n 3)))) 4.156 * [backup-simplify]: Simplify (+ (* -1 (- (* 38 (/ 1 (pow n 3))))) (+ (* 0 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1)))) into (* 38 (/ 1 (pow n 3))) 4.156 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.156 * [taylor]: Taking taylor expansion of 38 in n 4.156 * [backup-simplify]: Simplify 38 into 38 4.156 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.156 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.156 * [taylor]: Taking taylor expansion of n in n 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (* 1 1) into 1 4.156 * [backup-simplify]: Simplify (* 1 1) into 1 4.157 * [backup-simplify]: Simplify (/ 1 1) into 1 4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) 4.163 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in (f n) around 0 4.163 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in n 4.163 * [taylor]: Taking taylor expansion of -1 in n 4.163 * [backup-simplify]: Simplify -1 into -1 4.163 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in n 4.163 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 4.163 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.163 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.163 * [taylor]: Taking taylor expansion of f in n 4.163 * [backup-simplify]: Simplify f into f 4.163 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.163 * [taylor]: Taking taylor expansion of n in n 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.163 * [backup-simplify]: Simplify (/ 1 1) into 1 4.163 * [backup-simplify]: Simplify (+ 0 1) into 1 4.163 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n 4.163 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.163 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.163 * [taylor]: Taking taylor expansion of f in n 4.163 * [backup-simplify]: Simplify f into f 4.163 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.163 * [taylor]: Taking taylor expansion of n in n 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (/ 1 1) into 1 4.164 * [backup-simplify]: Simplify (- 1) into -1 4.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.164 * [backup-simplify]: Simplify (* 1 1) into 1 4.165 * [backup-simplify]: Simplify (* 1 1) into 1 4.165 * [backup-simplify]: Simplify (* -1 -1) into 1 4.165 * [backup-simplify]: Simplify (* -1 1) into -1 4.165 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.165 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 4.165 * [taylor]: Taking taylor expansion of -1 in f 4.165 * [backup-simplify]: Simplify -1 into -1 4.165 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 4.166 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 4.166 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.166 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.166 * [taylor]: Taking taylor expansion of f in f 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ 1 1) into 1 4.166 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.166 * [taylor]: Taking taylor expansion of n in f 4.166 * [backup-simplify]: Simplify n into n 4.166 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.166 * [backup-simplify]: Simplify (+ 1 0) into 1 4.166 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 4.166 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.166 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.166 * [taylor]: Taking taylor expansion of f in f 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.167 * [taylor]: Taking taylor expansion of n in f 4.167 * [backup-simplify]: Simplify n into n 4.167 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.167 * [backup-simplify]: Simplify (+ 1 0) into 1 4.167 * [backup-simplify]: Simplify (* 1 1) into 1 4.167 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify (/ 1 1) into 1 4.168 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 4.168 * [taylor]: Taking taylor expansion of -1 in f 4.168 * [backup-simplify]: Simplify -1 into -1 4.168 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 4.168 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 4.168 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.168 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.168 * [taylor]: Taking taylor expansion of f in f 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ 1 1) into 1 4.168 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.168 * [taylor]: Taking taylor expansion of n in f 4.168 * [backup-simplify]: Simplify n into n 4.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.169 * [backup-simplify]: Simplify (+ 1 0) into 1 4.169 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 4.169 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.169 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.169 * [taylor]: Taking taylor expansion of f in f 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (/ 1 1) into 1 4.169 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.169 * [taylor]: Taking taylor expansion of n in f 4.169 * [backup-simplify]: Simplify n into n 4.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.169 * [backup-simplify]: Simplify (+ 1 0) into 1 4.170 * [backup-simplify]: Simplify (* 1 1) into 1 4.170 * [backup-simplify]: Simplify (* 1 1) into 1 4.170 * [backup-simplify]: Simplify (* 1 1) into 1 4.170 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (/ 1 1) into 1 4.171 * [backup-simplify]: Simplify (* -1 1) into -1 4.171 * [taylor]: Taking taylor expansion of -1 in n 4.171 * [backup-simplify]: Simplify -1 into -1 4.171 * [backup-simplify]: Simplify -1 into -1 4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.172 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 4.172 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.172 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.172 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 4.172 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n))) 4.173 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 6 (/ 1 n)) 4.173 * [backup-simplify]: Simplify (+ (* -1 (* 6 (/ 1 n))) (* 0 1)) into (- (* 6 (/ 1 n))) 4.173 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.173 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.173 * [taylor]: Taking taylor expansion of 6 in n 4.173 * [backup-simplify]: Simplify 6 into 6 4.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.173 * [taylor]: Taking taylor expansion of n in n 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [backup-simplify]: Simplify (/ 1 1) into 1 4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.174 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.175 * [backup-simplify]: Simplify (+ 0 0) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 4.176 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.177 * [backup-simplify]: Simplify (- 0) into 0 4.177 * [backup-simplify]: Simplify (+ 0 0) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 4.178 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 4.179 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 6 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 18 (/ 1 (pow n 2))) 4.179 * [backup-simplify]: Simplify (+ (* -1 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1))) into (- (* 18 (/ 1 (pow n 2)))) 4.179 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.179 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.179 * [taylor]: Taking taylor expansion of 18 in n 4.179 * [backup-simplify]: Simplify 18 into 18 4.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.179 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.179 * [taylor]: Taking taylor expansion of n in n 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (* 1 1) into 1 4.180 * [backup-simplify]: Simplify (/ 1 1) into 1 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.182 * [backup-simplify]: Simplify (- 0) into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.184 * [backup-simplify]: Simplify (- 0) into 0 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.188 * [backup-simplify]: Simplify (- 0) into 0 4.188 * [backup-simplify]: Simplify (+ 0 0) into 0 4.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (- (/ 1 (pow n 3))) 4.191 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) 1) (+ (* 1 (/ (- (/ 1 (pow n 3))) 1)) (* (* 6 (/ 1 n)) (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 18 (/ 1 (pow n 2))) (/ (- (* 3 (/ 1 n))) 1)))) into (* 38 (/ 1 (pow n 3))) 4.192 * [backup-simplify]: Simplify (+ (* -1 (* 38 (/ 1 (pow n 3)))) (+ (* 0 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.192 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.192 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.192 * [taylor]: Taking taylor expansion of 38 in n 4.192 * [backup-simplify]: Simplify 38 into 38 4.192 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.192 * [taylor]: Taking taylor expansion of (pow n 3) 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 4.193 * [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 0) (* 0 1))) into 0 4.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.202 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (- 0) into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify -1 into -1 4.204 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) 4.204 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in (f n) around 0 4.204 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in n 4.204 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 4.204 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.204 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.204 * [taylor]: Taking taylor expansion of f in n 4.204 * [backup-simplify]: Simplify f into f 4.204 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.204 * [taylor]: Taking taylor expansion of n in n 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 4.205 * [backup-simplify]: Simplify (+ 0 1) into 1 4.205 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n 4.205 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.205 * [taylor]: Taking taylor expansion of n in n 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (/ 1 1) into 1 4.205 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.205 * [taylor]: Taking taylor expansion of f in n 4.205 * [backup-simplify]: Simplify f into f 4.206 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.206 * [backup-simplify]: Simplify (+ 1 0) into 1 4.206 * [backup-simplify]: Simplify (* 1 1) into 1 4.207 * [backup-simplify]: Simplify (* 1 1) into 1 4.207 * [backup-simplify]: Simplify (* 1 1) into 1 4.207 * [backup-simplify]: Simplify (* 1 1) into 1 4.208 * [backup-simplify]: Simplify (/ 1 1) into 1 4.208 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 4.208 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.208 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.208 * [taylor]: Taking taylor expansion of f in f 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ 1 1) into 1 4.208 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.208 * [taylor]: Taking taylor expansion of n in f 4.208 * [backup-simplify]: Simplify n into n 4.208 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.209 * [backup-simplify]: Simplify (+ 1 0) into 1 4.209 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 4.209 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.209 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.209 * [taylor]: Taking taylor expansion of n in f 4.209 * [backup-simplify]: Simplify n into n 4.209 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.209 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.209 * [taylor]: Taking taylor expansion of f in f 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [backup-simplify]: Simplify (- 1) into -1 4.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.211 * [backup-simplify]: Simplify (* 1 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 4.212 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.212 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 4.212 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 4.212 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.212 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.212 * [taylor]: Taking taylor expansion of f in f 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.213 * [taylor]: Taking taylor expansion of n in f 4.213 * [backup-simplify]: Simplify n into n 4.213 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.213 * [backup-simplify]: Simplify (+ 1 0) into 1 4.213 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 4.213 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.213 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.214 * [taylor]: Taking taylor expansion of n in f 4.214 * [backup-simplify]: Simplify n into n 4.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.214 * [taylor]: Taking taylor expansion of f in f 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (/ 1 1) into 1 4.214 * [backup-simplify]: Simplify (- 1) into -1 4.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.215 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (* -1 -1) into 1 4.216 * [backup-simplify]: Simplify (* -1 1) into -1 4.217 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.217 * [taylor]: Taking taylor expansion of -1 in n 4.217 * [backup-simplify]: Simplify -1 into -1 4.217 * [backup-simplify]: Simplify -1 into -1 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.218 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 4.218 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (- 0) into 0 4.219 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.219 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 4.220 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 4.220 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 6 (/ 1 n))) 4.220 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.220 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.220 * [taylor]: Taking taylor expansion of 6 in n 4.220 * [backup-simplify]: Simplify 6 into 6 4.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.220 * [taylor]: Taking taylor expansion of n in n 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.228 * [backup-simplify]: Simplify (- 0) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.230 * [backup-simplify]: Simplify (+ 0 0) into 0 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 4.231 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 4.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (- 0) into 0 4.233 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 4.235 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2)))) 4.236 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 6 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 18 (/ 1 (pow n 2)))) 4.236 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.236 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.236 * [taylor]: Taking taylor expansion of 18 in n 4.236 * [backup-simplify]: Simplify 18 into 18 4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.236 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.236 * [taylor]: Taking taylor expansion of n in n 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 1) into 1 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.241 * [backup-simplify]: Simplify (- 0) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.243 * [backup-simplify]: Simplify (- 0) into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 4.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (- 0) into 0 4.249 * [backup-simplify]: Simplify (+ 0 0) into 0 4.250 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 4.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (/ 1 (pow n 3)) 4.252 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) -1) (+ (* -1 (/ (/ 1 (pow n 3)) -1)) (* (- (* 6 (/ 1 n))) (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.252 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.252 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.252 * [taylor]: Taking taylor expansion of 38 in n 4.252 * [backup-simplify]: Simplify 38 into 38 4.252 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.252 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.252 * [taylor]: Taking taylor expansion of n in n 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.254 * [backup-simplify]: Simplify (/ 1 1) into 1 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (- 0) into 0 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify -1 into -1 4.264 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.264 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.264 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.264 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.264 * [taylor]: Taking taylor expansion of -1 in n 4.264 * [backup-simplify]: Simplify -1 into -1 4.264 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.264 * [taylor]: Taking taylor expansion of (+ n f) in n 4.264 * [taylor]: Taking taylor expansion of n in n 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [taylor]: Taking taylor expansion of f in n 4.264 * [backup-simplify]: Simplify f into f 4.264 * [taylor]: Taking taylor expansion of (- f n) in n 4.264 * [taylor]: Taking taylor expansion of f in n 4.264 * [backup-simplify]: Simplify f into f 4.264 * [taylor]: Taking taylor expansion of n in n 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (+ 0 f) into f 4.265 * [backup-simplify]: Simplify (- 0) into 0 4.265 * [backup-simplify]: Simplify (+ f 0) into f 4.265 * [backup-simplify]: Simplify (/ f f) into 1 4.265 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.265 * [taylor]: Taking taylor expansion of -1 in f 4.265 * [backup-simplify]: Simplify -1 into -1 4.265 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.265 * [taylor]: Taking taylor expansion of (+ n f) in f 4.265 * [taylor]: Taking taylor expansion of n in f 4.265 * [backup-simplify]: Simplify n into n 4.265 * [taylor]: Taking taylor expansion of f in f 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [taylor]: Taking taylor expansion of (- f n) in f 4.265 * [taylor]: Taking taylor expansion of f in f 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [taylor]: Taking taylor expansion of n in f 4.265 * [backup-simplify]: Simplify n into n 4.265 * [backup-simplify]: Simplify (+ n 0) into n 4.265 * [backup-simplify]: Simplify (- n) into (- n) 4.265 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.265 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.265 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.265 * [taylor]: Taking taylor expansion of -1 in f 4.266 * [backup-simplify]: Simplify -1 into -1 4.266 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.266 * [taylor]: Taking taylor expansion of (+ n f) in f 4.266 * [taylor]: Taking taylor expansion of n in f 4.266 * [backup-simplify]: Simplify n into n 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 4.266 * [taylor]: Taking taylor expansion of (- f n) 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 4.266 * [taylor]: Taking taylor expansion of n in f 4.266 * [backup-simplify]: Simplify n into n 4.266 * [backup-simplify]: Simplify (+ n 0) into n 4.266 * [backup-simplify]: Simplify (- n) into (- n) 4.266 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.266 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.267 * [backup-simplify]: Simplify (* -1 -1) into 1 4.267 * [taylor]: Taking taylor expansion of 1 in n 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (+ 0 1) into 1 4.267 * [backup-simplify]: Simplify (- 0) into 0 4.268 * [backup-simplify]: Simplify (+ 1 0) into 1 4.268 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.269 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.269 * [taylor]: Taking taylor expansion of 2 in n 4.269 * [backup-simplify]: Simplify 2 into 2 4.269 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.269 * [taylor]: Taking taylor expansion of n in n 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (/ 1 1) into 1 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.271 * [backup-simplify]: Simplify (- 0) into 0 4.272 * [backup-simplify]: Simplify (+ 0 0) into 0 4.272 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.273 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.273 * [taylor]: Taking taylor expansion of 2 in n 4.273 * [backup-simplify]: Simplify 2 into 2 4.273 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.273 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.273 * [taylor]: Taking taylor expansion of n in n 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (* 1 1) into 1 4.274 * [backup-simplify]: Simplify (/ 1 1) into 1 4.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.278 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.281 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [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)))) 4.283 * [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))) 4.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.283 * [taylor]: Taking taylor expansion of 2 in n 4.283 * [backup-simplify]: Simplify 2 into 2 4.283 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.283 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.283 * [taylor]: Taking taylor expansion of n in n 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify (* 1 1) into 1 4.284 * [backup-simplify]: Simplify (* 1 1) into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.293 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.293 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.293 * [taylor]: Taking taylor expansion of -1 in n 4.293 * [backup-simplify]: Simplify -1 into -1 4.293 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.293 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.293 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.293 * [taylor]: Taking taylor expansion of f in n 4.293 * [backup-simplify]: Simplify f into f 4.293 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.293 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.293 * [taylor]: Taking taylor expansion of n in n 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.294 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.294 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.294 * [taylor]: Taking taylor expansion of f in n 4.294 * [backup-simplify]: Simplify f into f 4.294 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.294 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.294 * [taylor]: Taking taylor expansion of n in n 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.295 * [backup-simplify]: Simplify (+ 0 1) into 1 4.295 * [backup-simplify]: Simplify (- 1) into -1 4.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.296 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.296 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.296 * [taylor]: Taking taylor expansion of -1 in f 4.296 * [backup-simplify]: Simplify -1 into -1 4.296 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.296 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.296 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.296 * [taylor]: Taking taylor expansion of f in f 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (/ 1 1) into 1 4.297 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.297 * [taylor]: Taking taylor expansion of n in f 4.297 * [backup-simplify]: Simplify n into n 4.297 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.297 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.297 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.297 * [taylor]: Taking taylor expansion of f in f 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (/ 1 1) into 1 4.297 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.297 * [taylor]: Taking taylor expansion of n in f 4.297 * [backup-simplify]: Simplify n into n 4.297 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.298 * [backup-simplify]: Simplify (+ 1 0) into 1 4.298 * [backup-simplify]: Simplify (+ 1 0) into 1 4.298 * [backup-simplify]: Simplify (/ 1 1) into 1 4.298 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.299 * [taylor]: Taking taylor expansion of -1 in f 4.299 * [backup-simplify]: Simplify -1 into -1 4.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.299 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.299 * [taylor]: Taking taylor expansion of f in f 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (/ 1 1) into 1 4.299 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.299 * [taylor]: Taking taylor expansion of n in f 4.299 * [backup-simplify]: Simplify n into n 4.299 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.299 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.299 * [taylor]: Taking taylor expansion of f in f 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.300 * [backup-simplify]: Simplify (/ 1 1) into 1 4.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.300 * [taylor]: Taking taylor expansion of n in f 4.300 * [backup-simplify]: Simplify n into n 4.300 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.300 * [backup-simplify]: Simplify (+ 1 0) into 1 4.301 * [backup-simplify]: Simplify (+ 1 0) into 1 4.301 * [backup-simplify]: Simplify (/ 1 1) into 1 4.302 * [backup-simplify]: Simplify (* -1 1) into -1 4.302 * [taylor]: Taking taylor expansion of -1 in n 4.302 * [backup-simplify]: Simplify -1 into -1 4.302 * [backup-simplify]: Simplify -1 into -1 4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.303 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.304 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.304 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.304 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.304 * [taylor]: Taking taylor expansion of 2 in n 4.304 * [backup-simplify]: Simplify 2 into 2 4.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.304 * [taylor]: Taking taylor expansion of n in n 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (/ 1 1) into 1 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.306 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.306 * [backup-simplify]: Simplify (- 0) into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.310 * [backup-simplify]: Simplify (- 0) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.312 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.312 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.312 * [taylor]: Taking taylor expansion of 2 in n 4.312 * [backup-simplify]: Simplify 2 into 2 4.312 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.312 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.312 * [taylor]: Taking taylor expansion of n in n 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (* 1 1) into 1 4.313 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.317 * [backup-simplify]: Simplify (- 0) into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.319 * [backup-simplify]: Simplify (- 0) into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.322 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [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))) 4.325 * [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)))) 4.325 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.325 * [taylor]: Taking taylor expansion of 2 in n 4.325 * [backup-simplify]: Simplify 2 into 2 4.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.325 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.325 * [taylor]: Taking taylor expansion of n in n 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (* 1 1) into 1 4.326 * [backup-simplify]: Simplify (* 1 1) into 1 4.326 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify -1 into -1 4.335 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.335 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.335 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.335 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.335 * [taylor]: Taking taylor expansion of f in n 4.335 * [backup-simplify]: Simplify f into f 4.335 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.335 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.335 * [taylor]: Taking taylor expansion of n in n 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (/ 1 1) into 1 4.336 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.336 * [taylor]: Taking taylor expansion of (/ 1 n) 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 4.336 * [backup-simplify]: Simplify (/ 1 1) into 1 4.336 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.336 * [taylor]: Taking taylor expansion of f in n 4.336 * [backup-simplify]: Simplify f into f 4.337 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.337 * [backup-simplify]: Simplify (+ 0 1) into 1 4.337 * [backup-simplify]: Simplify (+ 1 0) into 1 4.338 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.338 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.338 * [taylor]: Taking taylor expansion of f in f 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.338 * [taylor]: Taking taylor expansion of n in f 4.338 * [backup-simplify]: Simplify n into n 4.338 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.338 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.339 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.339 * [taylor]: Taking taylor expansion of n in f 4.339 * [backup-simplify]: Simplify n into n 4.339 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.339 * [taylor]: Taking taylor expansion of f in f 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.340 * [backup-simplify]: Simplify (+ 1 0) into 1 4.340 * [backup-simplify]: Simplify (- 1) into -1 4.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.341 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.341 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.341 * [taylor]: Taking taylor expansion of f in f 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (/ 1 1) into 1 4.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.341 * [taylor]: Taking taylor expansion of n in f 4.341 * [backup-simplify]: Simplify n into n 4.341 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.341 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.341 * [taylor]: Taking taylor expansion of n in f 4.341 * [backup-simplify]: Simplify n into n 4.341 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.341 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.341 * [taylor]: Taking taylor expansion of f in f 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (/ 1 1) into 1 4.342 * [backup-simplify]: Simplify (+ 1 0) into 1 4.342 * [backup-simplify]: Simplify (- 1) into -1 4.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.343 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.343 * [taylor]: Taking taylor expansion of -1 in n 4.343 * [backup-simplify]: Simplify -1 into -1 4.343 * [backup-simplify]: Simplify -1 into -1 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.346 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.346 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.346 * [taylor]: Taking taylor expansion of 2 in n 4.346 * [backup-simplify]: Simplify 2 into 2 4.346 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.346 * [taylor]: Taking taylor expansion of n in n 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.348 * [backup-simplify]: Simplify (- 0) into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (- 0) into 0 4.351 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.352 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.352 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.352 * [taylor]: Taking taylor expansion of 2 in n 4.352 * [backup-simplify]: Simplify 2 into 2 4.352 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.352 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.352 * [taylor]: Taking taylor expansion of n in n 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (* 1 1) into 1 4.353 * [backup-simplify]: Simplify (/ 1 1) into 1 4.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.358 * [backup-simplify]: Simplify (- 0) into 0 4.358 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.361 * [backup-simplify]: Simplify (- 0) into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.362 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify (+ 0 0) into 0 4.366 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.366 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.366 * [taylor]: Taking taylor expansion of 2 in n 4.366 * [backup-simplify]: Simplify 2 into 2 4.366 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.366 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.366 * [taylor]: Taking taylor expansion of n in n 4.366 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (* 1 1) into 1 4.372 * [backup-simplify]: Simplify (* 1 1) into 1 4.373 * [backup-simplify]: Simplify (/ 1 1) into 1 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (- 0) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify -1 into -1 4.382 * * * [progress]: simplifying candidates 4.399 * [simplify]: Simplifying: (expm1 (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (log1p (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (log (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (exp (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (* (* (- (+ f n)) (- (+ f n))) (- (+ f n)))) (cbrt (* (* (- f n) (- f n)) 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n)) (- f n))))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (expm1 (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (log1p (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (+ 1 1) (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n)))) (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (sqrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (sqrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (- 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(cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n)))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n)))) (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n)))) (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n)))) (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n)))) (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n)))) (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n)))) (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n)))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n)))) (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n)))) (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n)))) (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n)))) (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n)))) (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n)))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ 1 1) (/ 1 1)) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n)))) (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt 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[simplify]: iteration 1: 1602 enodes 5.281 * * [simplify]: iteration complete: 5001 enodes 5.282 * * [simplify]: Extracting #0: cost 288 inf + 0 5.290 * * [simplify]: Extracting #1: cost 1535 inf + 86 5.302 * * [simplify]: Extracting #2: cost 2105 inf + 1085 5.344 * * [simplify]: Extracting #3: cost 1620 inf + 100712 5.419 * * [simplify]: Extracting #4: cost 518 inf + 434202 5.548 * * [simplify]: Extracting #5: cost 56 inf + 599688 5.727 * * [simplify]: Extracting #6: cost 0 inf + 618059 5.911 * * [simplify]: Extracting #7: cost 0 inf + 618019 6.036 * [simplify]: Simplified to: (expm1 (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) (log1p (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) (log (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) (exp (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (- (+ n f)) 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f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f))) (sqrt (- f n))) (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f))) (/ (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f))) (* (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (cbrt (- f n)))) (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (sqrt (+ n f)))) (sqrt (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (sqrt (+ n f)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (sqrt (+ n f)))) (- (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) -1) (sqrt (- f n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt n) (sqrt f))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (- (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) -1) (sqrt (- f n))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt n) (sqrt f))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (* (/ (- (+ n f)) (- f n)) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (/ (- (+ n f)) (- f n)) (cbrt (+ n f))) (cbrt (- f n)))) (/ (* (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n)))) (sqrt (- f n))) (* (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n)))) (/ (* (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n)))) (+ (sqrt n) (sqrt f))) (* (* (cbrt 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n f) (- f n))) (+ (sqrt n) (sqrt f))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n))) (* (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (- (+ n f)) (- f n)) (* (/ (/ (- (+ n f)) (- f n)) (+ n f)) (/ (- (+ n f)) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (- (+ n f))) (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n))) (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- 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 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt 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(cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (- (/ (+ n f) (* (+ n f) (- f n)))) (* (- f n) (fma n (- n f) (* f f))) (* (- f n) (- f n)) (- (cbrt -1)) (cbrt -1) -1 1 1 1 1 -1 -1 1 -1 -1 6.093 * * * [progress]: adding candidates to table 8.083 * * [progress]: iteration 3 / 4 8.083 * * * [progress]: picking best candidate 8.088 * * * * [pick]: Picked # 8.088 * * * [progress]: localizing error 8.116 * * * [progress]: generating rewritten candidates 8.116 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.283 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.336 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.361 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.454 * * * [progress]: generating series expansions 8.454 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 8.454 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 8.454 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 8.454 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 8.455 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 8.455 * [taylor]: Taking taylor expansion of (+ n f) in n 8.455 * [taylor]: Taking taylor expansion of n in n 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.455 * [taylor]: Taking taylor expansion of f in n 8.455 * [backup-simplify]: Simplify f into f 8.455 * [backup-simplify]: Simplify (+ 0 f) into f 8.455 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 8.455 * [taylor]: Taking taylor expansion of (- f n) in n 8.455 * [taylor]: Taking taylor expansion of f in n 8.455 * [backup-simplify]: Simplify f into f 8.455 * [taylor]: Taking taylor expansion of n in n 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (- 0) into 0 8.456 * [backup-simplify]: Simplify (+ f 0) into f 8.456 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.456 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.456 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 8.456 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 8.456 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 8.456 * [taylor]: Taking taylor expansion of (+ n f) in f 8.456 * [taylor]: Taking taylor expansion of n in f 8.456 * [backup-simplify]: Simplify n into n 8.456 * [taylor]: Taking taylor expansion of f in f 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (+ n 0) into n 8.456 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 8.456 * [taylor]: Taking taylor expansion of (- f n) in f 8.456 * [taylor]: Taking taylor expansion of f in f 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [taylor]: Taking taylor expansion of n in f 8.456 * [backup-simplify]: Simplify n into n 8.456 * [backup-simplify]: Simplify (- n) into (- n) 8.457 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.457 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.457 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 8.457 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 8.457 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 8.457 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 8.457 * [taylor]: Taking taylor expansion of (+ n f) in f 8.457 * [taylor]: Taking taylor expansion of n in f 8.457 * [backup-simplify]: Simplify n into n 8.457 * [taylor]: Taking taylor expansion of f in f 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (+ n 0) into n 8.457 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 8.457 * [taylor]: Taking taylor expansion of (- f n) in f 8.457 * [taylor]: Taking taylor expansion of f in f 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [taylor]: Taking taylor expansion of n in f 8.458 * [backup-simplify]: Simplify n into n 8.458 * [backup-simplify]: Simplify (- n) into (- n) 8.458 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.458 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.458 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 8.458 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 8.458 * [taylor]: Taking taylor expansion of 1 in n 8.458 * [backup-simplify]: Simplify 1 into 1 8.458 * [backup-simplify]: Simplify 1 into 1 8.459 * [backup-simplify]: Simplify (+ 0 1) into 1 8.459 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 8.459 * [backup-simplify]: Simplify (- 0) into 0 8.460 * [backup-simplify]: Simplify (+ 1 0) into 1 8.460 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 8.460 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 8.460 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 8.460 * [taylor]: Taking taylor expansion of 4 in n 8.460 * [backup-simplify]: Simplify 4 into 4 8.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.460 * [taylor]: Taking taylor expansion of n in n 8.460 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.461 * [backup-simplify]: Simplify (/ 1 1) into 1 8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.462 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 8.463 * [backup-simplify]: Simplify (- 0) into 0 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.464 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 8.465 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 8.465 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 8.465 * [taylor]: Taking taylor expansion of 8 in n 8.465 * [backup-simplify]: Simplify 8 into 8 8.465 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.465 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.465 * [taylor]: Taking taylor expansion of n in n 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.465 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (/ 1 1) into 1 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.470 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 8.470 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.473 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 8.475 * [backup-simplify]: Simplify (- 0) into 0 8.476 * [backup-simplify]: Simplify (+ 0 0) into 0 8.476 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 8.477 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 8.477 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 8.478 * [taylor]: Taking taylor expansion of 12 in n 8.478 * [backup-simplify]: Simplify 12 into 12 8.478 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.478 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.478 * [taylor]: Taking taylor expansion of n in n 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 1 into 1 8.478 * [backup-simplify]: Simplify (* 1 1) into 1 8.478 * [backup-simplify]: Simplify (* 1 1) into 1 8.479 * [backup-simplify]: Simplify (/ 1 1) into 1 8.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 8.489 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 8.489 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 8.489 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.489 * [taylor]: Taking taylor expansion of f in n 8.489 * [backup-simplify]: Simplify f into f 8.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.489 * [taylor]: Taking taylor expansion of n in n 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.490 * [backup-simplify]: Simplify (/ 1 1) into 1 8.490 * [backup-simplify]: Simplify (+ 0 1) into 1 8.490 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 8.490 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.490 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.490 * [taylor]: Taking taylor expansion of f in n 8.490 * [backup-simplify]: Simplify f into f 8.490 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.490 * [taylor]: Taking taylor expansion of n in n 8.490 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (/ 1 1) into 1 8.491 * [backup-simplify]: Simplify (- 1) into -1 8.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.492 * [backup-simplify]: Simplify (* 1 1) into 1 8.492 * [backup-simplify]: Simplify (* -1 -1) into 1 8.493 * [backup-simplify]: Simplify (/ 1 1) into 1 8.493 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 8.493 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.493 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.493 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.493 * [taylor]: Taking taylor expansion of f in f 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.494 * [backup-simplify]: Simplify (/ 1 1) into 1 8.494 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.494 * [taylor]: Taking taylor expansion of n in f 8.494 * [backup-simplify]: Simplify n into n 8.494 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.494 * [backup-simplify]: Simplify (+ 1 0) into 1 8.494 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 8.494 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.494 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.495 * [taylor]: Taking taylor expansion of f in f 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (/ 1 1) into 1 8.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.495 * [taylor]: Taking taylor expansion of n in f 8.495 * [backup-simplify]: Simplify n into n 8.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.496 * [backup-simplify]: Simplify (+ 1 0) into 1 8.496 * [backup-simplify]: Simplify (* 1 1) into 1 8.496 * [backup-simplify]: Simplify (* 1 1) into 1 8.497 * [backup-simplify]: Simplify (/ 1 1) into 1 8.497 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 8.497 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.497 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.497 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.497 * [taylor]: Taking taylor expansion of f in f 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (/ 1 1) into 1 8.497 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.497 * [taylor]: Taking taylor expansion of n in f 8.497 * [backup-simplify]: Simplify n into n 8.497 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.498 * [backup-simplify]: Simplify (+ 1 0) into 1 8.498 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 8.498 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.498 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.498 * [taylor]: Taking taylor expansion of f in f 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (/ 1 1) into 1 8.498 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.499 * [taylor]: Taking taylor expansion of n in f 8.499 * [backup-simplify]: Simplify n into n 8.499 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.499 * [backup-simplify]: Simplify (+ 1 0) into 1 8.499 * [backup-simplify]: Simplify (* 1 1) into 1 8.500 * [backup-simplify]: Simplify (* 1 1) into 1 8.500 * [backup-simplify]: Simplify (/ 1 1) into 1 8.500 * [taylor]: Taking taylor expansion of 1 in n 8.500 * [backup-simplify]: Simplify 1 into 1 8.500 * [backup-simplify]: Simplify 1 into 1 8.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.501 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.502 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.502 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.503 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 8.503 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.503 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 8.503 * [taylor]: Taking taylor expansion of 4 in n 8.503 * [backup-simplify]: Simplify 4 into 4 8.503 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.503 * [taylor]: Taking taylor expansion of n in n 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.504 * [backup-simplify]: Simplify (/ 1 1) into 1 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.507 * [backup-simplify]: Simplify (+ 0 0) into 0 8.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 8.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.509 * [backup-simplify]: Simplify (- 0) into 0 8.509 * [backup-simplify]: Simplify (+ 0 0) into 0 8.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 8.511 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 8.511 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 8.511 * [taylor]: Taking taylor expansion of 8 in n 8.511 * [backup-simplify]: Simplify 8 into 8 8.511 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.511 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.511 * [taylor]: Taking taylor expansion of n in n 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify (* 1 1) into 1 8.512 * [backup-simplify]: Simplify (/ 1 1) into 1 8.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.516 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.520 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.522 * [backup-simplify]: Simplify (- 0) into 0 8.523 * [backup-simplify]: Simplify (+ 0 0) into 0 8.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 8.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 8.525 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 8.525 * [taylor]: Taking taylor expansion of 12 in n 8.525 * [backup-simplify]: Simplify 12 into 12 8.526 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.526 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.526 * [taylor]: Taking taylor expansion of n in n 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [backup-simplify]: Simplify (* 1 1) into 1 8.526 * [backup-simplify]: Simplify (* 1 1) into 1 8.527 * [backup-simplify]: Simplify (/ 1 1) into 1 8.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 8.535 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 8.535 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 8.535 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.535 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.535 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.535 * [taylor]: Taking taylor expansion of f in n 8.535 * [backup-simplify]: Simplify f into f 8.536 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.536 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.536 * [taylor]: Taking taylor expansion of n in n 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 1 into 1 8.536 * [backup-simplify]: Simplify (/ 1 1) into 1 8.536 * [backup-simplify]: Simplify (+ 0 1) into 1 8.536 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 8.536 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.536 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.536 * [taylor]: Taking taylor expansion of n in n 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 1 into 1 8.536 * [backup-simplify]: Simplify (/ 1 1) into 1 8.536 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.536 * [taylor]: Taking taylor expansion of f in n 8.536 * [backup-simplify]: Simplify f into f 8.537 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.537 * [backup-simplify]: Simplify (+ 1 0) into 1 8.537 * [backup-simplify]: Simplify (* 1 1) into 1 8.537 * [backup-simplify]: Simplify (* 1 1) into 1 8.537 * [backup-simplify]: Simplify (/ 1 1) into 1 8.537 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 8.537 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.538 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.538 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.538 * [taylor]: Taking taylor expansion of f in f 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (/ 1 1) into 1 8.538 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.538 * [taylor]: Taking taylor expansion of n in f 8.538 * [backup-simplify]: Simplify n into n 8.538 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.538 * [backup-simplify]: Simplify (+ 1 0) into 1 8.538 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 8.538 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.538 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.538 * [taylor]: Taking taylor expansion of n in f 8.538 * [backup-simplify]: Simplify n into n 8.538 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.538 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.538 * [taylor]: Taking taylor expansion of f in f 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.539 * [backup-simplify]: Simplify (/ 1 1) into 1 8.539 * [backup-simplify]: Simplify (- 1) into -1 8.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.539 * [backup-simplify]: Simplify (* 1 1) into 1 8.539 * [backup-simplify]: Simplify (* -1 -1) into 1 8.540 * [backup-simplify]: Simplify (/ 1 1) into 1 8.540 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 8.540 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.540 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.540 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.540 * [taylor]: Taking taylor expansion of f in f 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (/ 1 1) into 1 8.540 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.540 * [taylor]: Taking taylor expansion of n in f 8.540 * [backup-simplify]: Simplify n into n 8.540 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.540 * [backup-simplify]: Simplify (+ 1 0) into 1 8.540 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 8.540 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.540 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.541 * [taylor]: Taking taylor expansion of n in f 8.541 * [backup-simplify]: Simplify n into n 8.541 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.541 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.541 * [taylor]: Taking taylor expansion of f in f 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ 1 1) into 1 8.541 * [backup-simplify]: Simplify (- 1) into -1 8.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.542 * [backup-simplify]: Simplify (* 1 1) into 1 8.542 * [backup-simplify]: Simplify (* -1 -1) into 1 8.542 * [backup-simplify]: Simplify (/ 1 1) into 1 8.542 * [taylor]: Taking taylor expansion of 1 in n 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify 1 into 1 8.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.543 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.543 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.543 * [backup-simplify]: Simplify (- 0) into 0 8.543 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.544 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 8.544 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.544 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 8.544 * [taylor]: Taking taylor expansion of 4 in n 8.544 * [backup-simplify]: Simplify 4 into 4 8.544 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.544 * [taylor]: Taking taylor expansion of n in n 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.545 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.546 * [backup-simplify]: Simplify (+ 0 0) into 0 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 8.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.547 * [backup-simplify]: Simplify (- 0) into 0 8.548 * [backup-simplify]: Simplify (+ 0 0) into 0 8.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 8.549 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 8.549 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 8.549 * [taylor]: Taking taylor expansion of 8 in n 8.549 * [backup-simplify]: Simplify 8 into 8 8.549 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.549 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.549 * [taylor]: Taking taylor expansion of n in n 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (* 1 1) into 1 8.549 * [backup-simplify]: Simplify (/ 1 1) into 1 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.554 * [backup-simplify]: Simplify (+ 0 0) into 0 8.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.555 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 8.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 8.557 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 8.557 * [taylor]: Taking taylor expansion of 12 in n 8.557 * [backup-simplify]: Simplify 12 into 12 8.557 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.557 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.557 * [taylor]: Taking taylor expansion of n in n 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (* 1 1) into 1 8.557 * [backup-simplify]: Simplify (* 1 1) into 1 8.557 * [backup-simplify]: Simplify (/ 1 1) into 1 8.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.563 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.564 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) into (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) 8.564 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in (f n) around 0 8.564 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 8.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 8.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 8.564 * [taylor]: Taking taylor expansion of 1/3 in n 8.564 * [backup-simplify]: Simplify 1/3 into 1/3 8.564 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 8.564 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 8.564 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 8.564 * [taylor]: Taking taylor expansion of (+ n f) in n 8.564 * [taylor]: Taking taylor expansion of n in n 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.564 * [taylor]: Taking taylor expansion of f in n 8.564 * [backup-simplify]: Simplify f into f 8.564 * [backup-simplify]: Simplify (+ 0 f) into f 8.565 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 8.565 * [taylor]: Taking taylor expansion of (- f n) in n 8.565 * [taylor]: Taking taylor expansion of f in n 8.565 * [backup-simplify]: Simplify f into f 8.565 * [taylor]: Taking taylor expansion of n in n 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 1 into 1 8.565 * [backup-simplify]: Simplify (- 0) into 0 8.565 * [backup-simplify]: Simplify (+ f 0) into f 8.565 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.565 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.566 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 8.566 * [backup-simplify]: Simplify (log 1) into 0 8.567 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.573 * [backup-simplify]: Simplify (+ 1 0) into 1 8.573 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 8.573 * [backup-simplify]: Simplify (- 1) into -1 8.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.574 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 8.575 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 8.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 8.576 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 8.576 * [backup-simplify]: Simplify (exp 0) into 1 8.576 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 8.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 8.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 8.576 * [taylor]: Taking taylor expansion of 1/3 in f 8.576 * [backup-simplify]: Simplify 1/3 into 1/3 8.576 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 8.576 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 8.576 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 8.576 * [taylor]: Taking taylor expansion of (+ n f) in f 8.576 * [taylor]: Taking taylor expansion of n in f 8.576 * [backup-simplify]: Simplify n into n 8.576 * [taylor]: Taking taylor expansion of f in f 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (+ n 0) into n 8.577 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 8.577 * [taylor]: Taking taylor expansion of (- f n) in f 8.577 * [taylor]: Taking taylor expansion of f in f 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [taylor]: Taking taylor expansion of n in f 8.577 * [backup-simplify]: Simplify n into n 8.577 * [backup-simplify]: Simplify (- n) into (- n) 8.577 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.577 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.577 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 8.577 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 8.578 * [backup-simplify]: Simplify (log 1) into 0 8.578 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.579 * [backup-simplify]: Simplify (+ 0 1) into 1 8.579 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.580 * [backup-simplify]: Simplify (+ 1 0) into 1 8.580 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 8.580 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 8.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.581 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.581 * [backup-simplify]: Simplify (exp 0) into 1 8.581 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 8.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 8.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 8.581 * [taylor]: Taking taylor expansion of 1/3 in f 8.581 * [backup-simplify]: Simplify 1/3 into 1/3 8.582 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 8.582 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 8.582 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 8.582 * [taylor]: Taking taylor expansion of (+ n f) in f 8.582 * [taylor]: Taking taylor expansion of n in f 8.582 * [backup-simplify]: Simplify n into n 8.582 * [taylor]: Taking taylor expansion of f in f 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (+ n 0) into n 8.582 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 8.582 * [taylor]: Taking taylor expansion of (- f n) in f 8.582 * [taylor]: Taking taylor expansion of f in f 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of n in f 8.582 * [backup-simplify]: Simplify n into n 8.582 * [backup-simplify]: Simplify (- n) into (- n) 8.582 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.582 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.582 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 8.583 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 8.583 * [backup-simplify]: Simplify (log 1) into 0 8.583 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.584 * [backup-simplify]: Simplify (+ 0 1) into 1 8.584 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 8.584 * [backup-simplify]: Simplify (- 0) into 0 8.585 * [backup-simplify]: Simplify (+ 1 0) into 1 8.585 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 8.585 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 8.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.586 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.586 * [backup-simplify]: Simplify (exp 0) into 1 8.587 * [taylor]: Taking taylor expansion of 1 in n 8.587 * [backup-simplify]: Simplify 1 into 1 8.587 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 8.588 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 8.588 * [taylor]: Taking taylor expansion of 4/3 in n 8.588 * [backup-simplify]: Simplify 4/3 into 4/3 8.588 * [taylor]: Taking taylor expansion of n in n 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 8.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.591 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 8.592 * [backup-simplify]: Simplify (- 0) into 0 8.592 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 8.593 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 8.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 8.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 8.597 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 8.598 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 8.598 * [taylor]: Taking taylor expansion of 8/9 in n 8.598 * [backup-simplify]: Simplify 8/9 into 8/9 8.598 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.598 * [taylor]: Taking taylor expansion of n in n 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (* 1 1) into 1 8.598 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (+ 0 0) into 0 8.602 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 8.602 * [backup-simplify]: Simplify (- 0) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.603 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 8.603 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 8.605 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 8.606 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 8.606 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 8.606 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 8.606 * [taylor]: Taking taylor expansion of 68/81 in n 8.606 * [backup-simplify]: Simplify 68/81 into 68/81 8.606 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.606 * [taylor]: Taking taylor expansion of n in n 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (* 1 1) into 1 8.607 * [backup-simplify]: Simplify (* 1 1) into 1 8.607 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 8.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) 8.612 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in (f n) around 0 8.612 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 8.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 8.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 8.612 * [taylor]: Taking taylor expansion of 1/3 in n 8.612 * [backup-simplify]: Simplify 1/3 into 1/3 8.612 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 8.612 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 8.612 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.612 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.612 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.612 * [taylor]: Taking taylor expansion of f in n 8.612 * [backup-simplify]: Simplify f into f 8.612 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.612 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.612 * [taylor]: Taking taylor expansion of n in n 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (/ 1 1) into 1 8.613 * [backup-simplify]: Simplify (+ 0 1) into 1 8.613 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 8.613 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.613 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.613 * [taylor]: Taking taylor expansion of f in n 8.613 * [backup-simplify]: Simplify f into f 8.613 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.613 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.613 * [taylor]: Taking taylor expansion of n in n 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (/ 1 1) into 1 8.614 * [backup-simplify]: Simplify (- 1) into -1 8.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.614 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify (* -1 -1) into 1 8.614 * [backup-simplify]: Simplify (/ 1 1) into 1 8.615 * [backup-simplify]: Simplify (log 1) into 0 8.615 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.615 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.616 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 8.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.616 * [backup-simplify]: Simplify (- 0) into 0 8.616 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.616 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 8.616 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 8.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 8.617 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 8.617 * [backup-simplify]: Simplify (exp 0) into 1 8.617 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 8.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 8.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 8.617 * [taylor]: Taking taylor expansion of 1/3 in f 8.617 * [backup-simplify]: Simplify 1/3 into 1/3 8.617 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 8.617 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 8.617 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.617 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.617 * [taylor]: Taking taylor expansion of f in f 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (/ 1 1) into 1 8.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.618 * [taylor]: Taking taylor expansion of n in f 8.618 * [backup-simplify]: Simplify n into n 8.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.618 * [backup-simplify]: Simplify (+ 1 0) into 1 8.618 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 8.618 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.618 * [taylor]: Taking taylor expansion of f in f 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (/ 1 1) into 1 8.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.618 * [taylor]: Taking taylor expansion of n in f 8.618 * [backup-simplify]: Simplify n into n 8.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.619 * [backup-simplify]: Simplify (+ 1 0) into 1 8.619 * [backup-simplify]: Simplify (* 1 1) into 1 8.619 * [backup-simplify]: Simplify (* 1 1) into 1 8.619 * [backup-simplify]: Simplify (/ 1 1) into 1 8.620 * [backup-simplify]: Simplify (log 1) into 0 8.620 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.620 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.620 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.621 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.621 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.621 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 8.621 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.622 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.622 * [backup-simplify]: Simplify (exp 0) into 1 8.622 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 8.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 8.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 8.622 * [taylor]: Taking taylor expansion of 1/3 in f 8.622 * [backup-simplify]: Simplify 1/3 into 1/3 8.622 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 8.622 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 8.622 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.622 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.622 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.622 * [taylor]: Taking taylor expansion of f in f 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (/ 1 1) into 1 8.622 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.623 * [taylor]: Taking taylor expansion of n in f 8.623 * [backup-simplify]: Simplify n into n 8.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.623 * [backup-simplify]: Simplify (+ 1 0) into 1 8.623 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 8.623 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.623 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.623 * [taylor]: Taking taylor expansion of f in f 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 1 into 1 8.623 * [backup-simplify]: Simplify (/ 1 1) into 1 8.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.623 * [taylor]: Taking taylor expansion of n in f 8.623 * [backup-simplify]: Simplify n into n 8.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.623 * [backup-simplify]: Simplify (+ 1 0) into 1 8.624 * [backup-simplify]: Simplify (* 1 1) into 1 8.624 * [backup-simplify]: Simplify (* 1 1) into 1 8.624 * [backup-simplify]: Simplify (/ 1 1) into 1 8.624 * [backup-simplify]: Simplify (log 1) into 0 8.625 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.625 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.625 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.626 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.626 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.626 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 8.627 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.628 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.628 * [backup-simplify]: Simplify (exp 0) into 1 8.628 * [taylor]: Taking taylor expansion of 1 in n 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 8.628 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 8.628 * [taylor]: Taking taylor expansion of 4/3 in n 8.628 * [backup-simplify]: Simplify 4/3 into 4/3 8.628 * [taylor]: Taking taylor expansion of n in n 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.629 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 8.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.631 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.634 * [backup-simplify]: Simplify (- 0) into 0 8.634 * [backup-simplify]: Simplify (+ 0 0) into 0 8.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 8.636 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 8.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 8.638 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 8.639 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 8.639 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 8.639 * [taylor]: Taking taylor expansion of 8/9 in n 8.639 * [backup-simplify]: Simplify 8/9 into 8/9 8.639 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.639 * [taylor]: Taking taylor expansion of n in n 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (* 1 1) into 1 8.640 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 8.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.643 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.648 * [backup-simplify]: Simplify (- 0) into 0 8.648 * [backup-simplify]: Simplify (+ 0 0) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 8.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 8.653 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 8.654 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 8.655 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 8.656 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 8.656 * [taylor]: Taking taylor expansion of 68/81 in n 8.656 * [backup-simplify]: Simplify 68/81 into 68/81 8.656 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.656 * [taylor]: Taking taylor expansion of n in n 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify 1 into 1 8.656 * [backup-simplify]: Simplify (* 1 1) into 1 8.656 * [backup-simplify]: Simplify (* 1 1) into 1 8.657 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 8.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 8.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 8.664 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 8.664 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 8.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 8.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 8.664 * [taylor]: Taking taylor expansion of 1/3 in n 8.664 * [backup-simplify]: Simplify 1/3 into 1/3 8.664 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 8.664 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 8.664 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.664 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.664 * [taylor]: Taking taylor expansion of f in n 8.664 * [backup-simplify]: Simplify f into f 8.664 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.664 * [taylor]: Taking taylor expansion of n in n 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify (/ 1 1) into 1 8.664 * [backup-simplify]: Simplify (+ 0 1) into 1 8.665 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 8.665 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.665 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.665 * [taylor]: Taking taylor expansion of n in n 8.665 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.665 * [taylor]: Taking taylor expansion of f in n 8.665 * [backup-simplify]: Simplify f into f 8.665 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.665 * [backup-simplify]: Simplify (+ 1 0) into 1 8.665 * [backup-simplify]: Simplify (* 1 1) into 1 8.666 * [backup-simplify]: Simplify (* 1 1) into 1 8.666 * [backup-simplify]: Simplify (/ 1 1) into 1 8.666 * [backup-simplify]: Simplify (log 1) into 0 8.666 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.667 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.667 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 8.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.667 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.668 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.668 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 8.668 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 8.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 8.668 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 8.668 * [backup-simplify]: Simplify (exp 0) into 1 8.669 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 8.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 8.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 8.669 * [taylor]: Taking taylor expansion of 1/3 in f 8.669 * [backup-simplify]: Simplify 1/3 into 1/3 8.669 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 8.669 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 8.669 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.669 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.669 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.669 * [taylor]: Taking taylor expansion of f in f 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (/ 1 1) into 1 8.669 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.669 * [taylor]: Taking taylor expansion of n in f 8.669 * [backup-simplify]: Simplify n into n 8.669 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.669 * [backup-simplify]: Simplify (+ 1 0) into 1 8.669 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 8.669 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.669 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.669 * [taylor]: Taking taylor expansion of n in f 8.669 * [backup-simplify]: Simplify n into n 8.669 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.669 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.669 * [taylor]: Taking taylor expansion of f in f 8.669 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (/ 1 1) into 1 8.670 * [backup-simplify]: Simplify (- 1) into -1 8.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.670 * [backup-simplify]: Simplify (* 1 1) into 1 8.671 * [backup-simplify]: Simplify (* -1 -1) into 1 8.671 * [backup-simplify]: Simplify (/ 1 1) into 1 8.671 * [backup-simplify]: Simplify (log 1) into 0 8.671 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.672 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (- 0) into 0 8.673 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.673 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 8.673 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.674 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.674 * [backup-simplify]: Simplify (exp 0) into 1 8.674 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 8.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 8.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 8.674 * [taylor]: Taking taylor expansion of 1/3 in f 8.674 * [backup-simplify]: Simplify 1/3 into 1/3 8.674 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 8.674 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 8.674 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.674 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.674 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.674 * [taylor]: Taking taylor expansion of f in f 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 1 into 1 8.674 * [backup-simplify]: Simplify (/ 1 1) into 1 8.674 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.674 * [taylor]: Taking taylor expansion of n in f 8.674 * [backup-simplify]: Simplify n into n 8.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.674 * [backup-simplify]: Simplify (+ 1 0) into 1 8.674 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 8.674 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.675 * [taylor]: Taking taylor expansion of n in f 8.675 * [backup-simplify]: Simplify n into n 8.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.675 * [taylor]: Taking taylor expansion of f in f 8.675 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify 1 into 1 8.675 * [backup-simplify]: Simplify (/ 1 1) into 1 8.675 * [backup-simplify]: Simplify (- 1) into -1 8.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.676 * [backup-simplify]: Simplify (* 1 1) into 1 8.676 * [backup-simplify]: Simplify (* -1 -1) into 1 8.676 * [backup-simplify]: Simplify (/ 1 1) into 1 8.676 * [backup-simplify]: Simplify (log 1) into 0 8.676 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.677 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.678 * [backup-simplify]: Simplify (- 0) into 0 8.678 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.678 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 8.678 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 8.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 8.679 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 8.679 * [backup-simplify]: Simplify (exp 0) into 1 8.679 * [taylor]: Taking taylor expansion of 1 in n 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 8.679 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 8.679 * [taylor]: Taking taylor expansion of 4/3 in n 8.679 * [backup-simplify]: Simplify 4/3 into 4/3 8.679 * [taylor]: Taking taylor expansion of n in n 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.680 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 8.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 8.680 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.681 * [backup-simplify]: Simplify (+ 0 0) into 0 8.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 8.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.682 * [backup-simplify]: Simplify (- 0) into 0 8.683 * [backup-simplify]: Simplify (+ 0 0) into 0 8.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 8.684 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 8.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 8.688 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 8.689 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 8.689 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 8.689 * [taylor]: Taking taylor expansion of 8/9 in n 8.689 * [backup-simplify]: Simplify 8/9 into 8/9 8.689 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.689 * [taylor]: Taking taylor expansion of n in n 8.689 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (* 1 1) into 1 8.690 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.696 * [backup-simplify]: Simplify (+ 0 0) into 0 8.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 8.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (- 0) into 0 8.699 * [backup-simplify]: Simplify (+ 0 0) into 0 8.700 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 8.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 8.704 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 8.706 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 8.707 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 8.707 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 8.707 * [taylor]: Taking taylor expansion of 68/81 in n 8.707 * [backup-simplify]: Simplify 68/81 into 68/81 8.707 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.707 * [taylor]: Taking taylor expansion of n in n 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (* 1 1) into 1 8.708 * [backup-simplify]: Simplify (* 1 1) into 1 8.708 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 8.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.717 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) 8.717 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0 8.717 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n 8.717 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 8.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 8.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 8.717 * [taylor]: Taking taylor expansion of 1/3 in n 8.717 * [backup-simplify]: Simplify 1/3 into 1/3 8.717 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 8.717 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.717 * [taylor]: Taking taylor expansion of (+ n f) in n 8.718 * [taylor]: Taking taylor expansion of n in n 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 1 into 1 8.718 * [taylor]: Taking taylor expansion of f in n 8.718 * [backup-simplify]: Simplify f into f 8.718 * [taylor]: Taking taylor expansion of (- f n) in n 8.718 * [taylor]: Taking taylor expansion of f in n 8.718 * [backup-simplify]: Simplify f into f 8.718 * [taylor]: Taking taylor expansion of n in n 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 1 into 1 8.718 * [backup-simplify]: Simplify (+ 0 f) into f 8.718 * [backup-simplify]: Simplify (- 0) into 0 8.718 * [backup-simplify]: Simplify (+ f 0) into f 8.718 * [backup-simplify]: Simplify (/ f f) into 1 8.719 * [backup-simplify]: Simplify (log 1) into 0 8.720 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.721 * [backup-simplify]: Simplify (+ 1 0) into 1 8.721 * [backup-simplify]: Simplify (- 1) into -1 8.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.722 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 8.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 8.723 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 8.723 * [backup-simplify]: Simplify (exp 0) into 1 8.723 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.723 * [taylor]: Taking taylor expansion of -1 in n 8.723 * [backup-simplify]: Simplify -1 into -1 8.724 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.725 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.725 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 8.725 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 8.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 8.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 8.725 * [taylor]: Taking taylor expansion of 1/3 in f 8.725 * [backup-simplify]: Simplify 1/3 into 1/3 8.725 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 8.725 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.725 * [taylor]: Taking taylor expansion of (+ n f) in f 8.725 * [taylor]: Taking taylor expansion of n in f 8.725 * [backup-simplify]: Simplify n into n 8.725 * [taylor]: Taking taylor expansion of f in f 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of (- f n) in f 8.725 * [taylor]: Taking taylor expansion of f in f 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of n in f 8.725 * [backup-simplify]: Simplify n into n 8.725 * [backup-simplify]: Simplify (+ n 0) into n 8.725 * [backup-simplify]: Simplify (- n) into (- n) 8.725 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.725 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.726 * [backup-simplify]: Simplify (log -1) into (log -1) 8.727 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.728 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.728 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.728 * [taylor]: Taking taylor expansion of -1 in f 8.728 * [backup-simplify]: Simplify -1 into -1 8.729 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.729 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.729 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 8.729 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 8.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 8.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 8.730 * [taylor]: Taking taylor expansion of 1/3 in f 8.730 * [backup-simplify]: Simplify 1/3 into 1/3 8.730 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 8.730 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.730 * [taylor]: Taking taylor expansion of (+ n f) in f 8.730 * [taylor]: Taking taylor expansion of n in f 8.730 * [backup-simplify]: Simplify n into n 8.730 * [taylor]: Taking taylor expansion of f in f 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [taylor]: Taking taylor expansion of (- f n) in f 8.730 * [taylor]: Taking taylor expansion of f in f 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [taylor]: Taking taylor expansion of n in f 8.730 * [backup-simplify]: Simplify n into n 8.730 * [backup-simplify]: Simplify (+ n 0) into n 8.730 * [backup-simplify]: Simplify (- n) into (- n) 8.730 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.730 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.731 * [backup-simplify]: Simplify (log -1) into (log -1) 8.731 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.733 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.733 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.733 * [taylor]: Taking taylor expansion of -1 in f 8.733 * [backup-simplify]: Simplify -1 into -1 8.733 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.734 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.736 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 8.736 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n 8.736 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.736 * [taylor]: Taking taylor expansion of -1 in n 8.736 * [backup-simplify]: Simplify -1 into -1 8.736 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.737 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.737 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.737 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.737 * [taylor]: Taking taylor expansion of 1/3 in n 8.737 * [backup-simplify]: Simplify 1/3 into 1/3 8.737 * [taylor]: Taking taylor expansion of (log -1) in n 8.737 * [taylor]: Taking taylor expansion of -1 in n 8.737 * [backup-simplify]: Simplify -1 into -1 8.738 * [backup-simplify]: Simplify (log -1) into (log -1) 8.738 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.740 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.741 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.743 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.743 * [backup-simplify]: Simplify (+ 0 1) into 1 8.744 * [backup-simplify]: Simplify (- 0) into 0 8.744 * [backup-simplify]: Simplify (+ 1 0) into 1 8.744 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 8.746 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 8.747 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 8.749 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) (cbrt -1))) into (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) 8.749 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n 8.749 * [taylor]: Taking taylor expansion of 2/3 in n 8.749 * [backup-simplify]: Simplify 2/3 into 2/3 8.749 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n 8.749 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 8.749 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.749 * [taylor]: Taking taylor expansion of -1 in n 8.749 * [backup-simplify]: Simplify -1 into -1 8.750 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.750 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.750 * [taylor]: Taking taylor expansion of n in n 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.751 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.752 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.752 * [taylor]: Taking taylor expansion of 1/3 in n 8.752 * [backup-simplify]: Simplify 1/3 into 1/3 8.752 * [taylor]: Taking taylor expansion of (log -1) in n 8.752 * [taylor]: Taking taylor expansion of -1 in n 8.752 * [backup-simplify]: Simplify -1 into -1 8.752 * [backup-simplify]: Simplify (log -1) into (log -1) 8.753 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.754 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.757 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.758 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.762 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.763 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0 8.763 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.767 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.768 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.770 * [backup-simplify]: Simplify (+ 0 0) into 0 8.770 * [backup-simplify]: Simplify (- 0) into 0 8.770 * [backup-simplify]: Simplify (+ 0 0) into 0 8.771 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 8.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 8.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 8.778 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) (cbrt -1)))) into (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) 8.778 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n 8.778 * [taylor]: Taking taylor expansion of 2/9 in n 8.778 * [backup-simplify]: Simplify 2/9 into 2/9 8.778 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n 8.778 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 8.778 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.778 * [taylor]: Taking taylor expansion of -1 in n 8.778 * [backup-simplify]: Simplify -1 into -1 8.779 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.779 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.780 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.780 * [taylor]: Taking taylor expansion of n in n 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 1 into 1 8.780 * [backup-simplify]: Simplify (* 1 1) into 1 8.781 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.781 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.781 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.781 * [taylor]: Taking taylor expansion of 1/3 in n 8.781 * [backup-simplify]: Simplify 1/3 into 1/3 8.781 * [taylor]: Taking taylor expansion of (log -1) in n 8.781 * [taylor]: Taking taylor expansion of -1 in n 8.781 * [backup-simplify]: Simplify -1 into -1 8.782 * [backup-simplify]: Simplify (log -1) into (log -1) 8.782 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.784 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.792 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.795 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.801 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.802 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.803 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.805 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 8.805 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.811 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 8.817 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.823 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.826 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.828 * [backup-simplify]: Simplify (+ 0 0) into 0 8.828 * [backup-simplify]: Simplify (- 0) into 0 8.829 * [backup-simplify]: Simplify (+ 0 0) into 0 8.829 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 8.838 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 8.839 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 8.842 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 8.846 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (+ (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 0) (* (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) (cbrt -1))))) into (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) 8.846 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n 8.846 * [taylor]: Taking taylor expansion of 22/81 in n 8.846 * [backup-simplify]: Simplify 22/81 into 22/81 8.846 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n 8.846 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 8.846 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.846 * [taylor]: Taking taylor expansion of -1 in n 8.846 * [backup-simplify]: Simplify -1 into -1 8.846 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.847 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.847 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.847 * [taylor]: Taking taylor expansion of n in n 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.848 * [backup-simplify]: Simplify (* 1 1) into 1 8.848 * [backup-simplify]: Simplify (* 1 1) into 1 8.849 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.849 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.849 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.849 * [taylor]: Taking taylor expansion of 1/3 in n 8.849 * [backup-simplify]: Simplify 1/3 into 1/3 8.849 * [taylor]: Taking taylor expansion of (log -1) in n 8.849 * [taylor]: Taking taylor expansion of -1 in n 8.849 * [backup-simplify]: Simplify -1 into -1 8.849 * [backup-simplify]: Simplify (log -1) into (log -1) 8.850 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.852 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.858 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.863 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 8.868 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.873 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.880 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 8.888 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.889 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 8.891 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.894 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 8.896 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) 8.896 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0 8.896 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n 8.896 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 8.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 8.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 8.896 * [taylor]: Taking taylor expansion of 1/3 in n 8.896 * [backup-simplify]: Simplify 1/3 into 1/3 8.896 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.896 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.896 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.896 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.896 * [taylor]: Taking taylor expansion of f in n 8.896 * [backup-simplify]: Simplify f into f 8.896 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.897 * [taylor]: Taking taylor expansion of n in n 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 1 into 1 8.897 * [backup-simplify]: Simplify (/ 1 1) into 1 8.897 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.897 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.897 * [taylor]: Taking taylor expansion of f in n 8.897 * [backup-simplify]: Simplify f into f 8.897 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.897 * [taylor]: Taking taylor expansion of n in n 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 1 into 1 8.898 * [backup-simplify]: Simplify (/ 1 1) into 1 8.898 * [backup-simplify]: Simplify (+ 0 1) into 1 8.899 * [backup-simplify]: Simplify (- 1) into -1 8.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.899 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.900 * [backup-simplify]: Simplify (log -1) into (log -1) 8.901 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.902 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.902 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.902 * [taylor]: Taking taylor expansion of -1 in n 8.902 * [backup-simplify]: Simplify -1 into -1 8.903 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.904 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.904 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 8.904 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 8.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 8.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.904 * [taylor]: Taking taylor expansion of 1/3 in f 8.904 * [backup-simplify]: Simplify 1/3 into 1/3 8.904 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.904 * [taylor]: Taking taylor expansion of f in f 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [backup-simplify]: Simplify (/ 1 1) into 1 8.904 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.904 * [taylor]: Taking taylor expansion of n in f 8.904 * [backup-simplify]: Simplify n into n 8.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.904 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.905 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.905 * [taylor]: Taking taylor expansion of f in f 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [backup-simplify]: Simplify (/ 1 1) into 1 8.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.905 * [taylor]: Taking taylor expansion of n in f 8.905 * [backup-simplify]: Simplify n into n 8.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.906 * [backup-simplify]: Simplify (+ 1 0) into 1 8.906 * [backup-simplify]: Simplify (+ 1 0) into 1 8.906 * [backup-simplify]: Simplify (/ 1 1) into 1 8.907 * [backup-simplify]: Simplify (log 1) into 0 8.907 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.909 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.909 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 8.910 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 8.910 * [backup-simplify]: Simplify (exp 0) into 1 8.910 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.910 * [taylor]: Taking taylor expansion of -1 in f 8.910 * [backup-simplify]: Simplify -1 into -1 8.911 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.912 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.912 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 8.912 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 8.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 8.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 8.912 * [taylor]: Taking taylor expansion of 1/3 in f 8.912 * [backup-simplify]: Simplify 1/3 into 1/3 8.912 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.912 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.912 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.912 * [taylor]: Taking taylor expansion of f in f 8.912 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify 1 into 1 8.912 * [backup-simplify]: Simplify (/ 1 1) into 1 8.912 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.912 * [taylor]: Taking taylor expansion of n in f 8.912 * [backup-simplify]: Simplify n into n 8.912 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.912 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.913 * [taylor]: Taking taylor expansion of f in f 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (/ 1 1) into 1 8.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.913 * [taylor]: Taking taylor expansion of n in f 8.913 * [backup-simplify]: Simplify n into n 8.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.913 * [backup-simplify]: Simplify (+ 1 0) into 1 8.914 * [backup-simplify]: Simplify (+ 1 0) into 1 8.914 * [backup-simplify]: Simplify (/ 1 1) into 1 8.915 * [backup-simplify]: Simplify (log 1) into 0 8.915 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.916 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.917 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.917 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 8.918 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 8.918 * [backup-simplify]: Simplify (exp 0) into 1 8.918 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.918 * [taylor]: Taking taylor expansion of -1 in f 8.918 * [backup-simplify]: Simplify -1 into -1 8.919 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.920 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.921 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 8.921 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.921 * [taylor]: Taking taylor expansion of -1 in n 8.921 * [backup-simplify]: Simplify -1 into -1 8.921 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.922 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.922 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.923 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n)) 8.924 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 8.924 * [taylor]: Taking taylor expansion of 2/3 in n 8.924 * [backup-simplify]: Simplify 2/3 into 2/3 8.924 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 8.924 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.924 * [taylor]: Taking taylor expansion of -1 in n 8.924 * [backup-simplify]: Simplify -1 into -1 8.924 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.925 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.925 * [taylor]: Taking taylor expansion of n in n 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.931 * [backup-simplify]: Simplify (+ 0 0) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.933 * [backup-simplify]: Simplify (- 0) into 0 8.933 * [backup-simplify]: Simplify (+ 0 0) into 0 8.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.936 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 8.937 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 8.938 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 8.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 8.939 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 8.939 * [taylor]: Taking taylor expansion of 2/9 in n 8.939 * [backup-simplify]: Simplify 2/9 into 2/9 8.939 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 8.939 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.939 * [taylor]: Taking taylor expansion of -1 in n 8.939 * [backup-simplify]: Simplify -1 into -1 8.940 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.940 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.941 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.941 * [taylor]: Taking taylor expansion of n in n 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify 1 into 1 8.941 * [backup-simplify]: Simplify (* 1 1) into 1 8.942 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.949 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.952 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.954 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.957 * [backup-simplify]: Simplify (+ 0 0) into 0 8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.958 * [backup-simplify]: Simplify (- 0) into 0 8.958 * [backup-simplify]: Simplify (+ 0 0) into 0 8.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 8.962 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 8.963 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 8.964 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 8.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (+ (* (/ 2/9 (pow n 2)) 0) (* (/ 22/81 (pow n 3)) (cbrt -1))))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 8.966 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 8.966 * [taylor]: Taking taylor expansion of 22/81 in n 8.966 * [backup-simplify]: Simplify 22/81 into 22/81 8.966 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 8.966 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.966 * [taylor]: Taking taylor expansion of -1 in n 8.966 * [backup-simplify]: Simplify -1 into -1 8.966 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.967 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.967 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.967 * [taylor]: Taking taylor expansion of n in n 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify 1 into 1 8.967 * [backup-simplify]: Simplify (* 1 1) into 1 8.968 * [backup-simplify]: Simplify (* 1 1) into 1 8.968 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.985 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.986 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 8.986 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 8.986 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 8.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 8.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 8.986 * [taylor]: Taking taylor expansion of 1/3 in n 8.986 * [backup-simplify]: Simplify 1/3 into 1/3 8.986 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 8.987 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.987 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.987 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.987 * [taylor]: Taking taylor expansion of f in n 8.987 * [backup-simplify]: Simplify f into f 8.987 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.987 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.987 * [taylor]: Taking taylor expansion of n in n 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 1 into 1 8.987 * [backup-simplify]: Simplify (/ 1 1) into 1 8.987 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.987 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.987 * [taylor]: Taking taylor expansion of n in n 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 1 into 1 8.988 * [backup-simplify]: Simplify (/ 1 1) into 1 8.988 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.988 * [taylor]: Taking taylor expansion of f in n 8.988 * [backup-simplify]: Simplify f into f 8.988 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.988 * [backup-simplify]: Simplify (+ 0 1) into 1 8.988 * [backup-simplify]: Simplify (+ 1 0) into 1 8.989 * [backup-simplify]: Simplify (/ 1 1) into 1 8.989 * [backup-simplify]: Simplify (log 1) into 0 8.990 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.991 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.991 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 8.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 8.993 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 8.993 * [backup-simplify]: Simplify (exp 0) into 1 8.993 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 8.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 8.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 8.993 * [taylor]: Taking taylor expansion of 1/3 in f 8.993 * [backup-simplify]: Simplify 1/3 into 1/3 8.993 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.993 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.993 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.993 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.993 * [taylor]: Taking taylor expansion of f in f 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (/ 1 1) into 1 8.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.994 * [taylor]: Taking taylor expansion of n in f 8.994 * [backup-simplify]: Simplify n into n 8.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.994 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.994 * [taylor]: Taking taylor expansion of n in f 8.994 * [backup-simplify]: Simplify n into n 8.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.994 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.994 * [taylor]: Taking taylor expansion of f in f 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (/ 1 1) into 1 8.995 * [backup-simplify]: Simplify (+ 1 0) into 1 8.995 * [backup-simplify]: Simplify (- 1) into -1 8.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.996 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.996 * [backup-simplify]: Simplify (log -1) into (log -1) 8.997 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.998 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.999 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 8.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 8.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 8.999 * [taylor]: Taking taylor expansion of 1/3 in f 8.999 * [backup-simplify]: Simplify 1/3 into 1/3 8.999 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.999 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.999 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.999 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.999 * [taylor]: Taking taylor expansion of f in f 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 1 into 1 8.999 * [backup-simplify]: Simplify (/ 1 1) into 1 8.999 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.999 * [taylor]: Taking taylor expansion of n in f 8.999 * [backup-simplify]: Simplify n into n 8.999 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.999 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.000 * [taylor]: Taking taylor expansion of n in f 9.000 * [backup-simplify]: Simplify n into n 9.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.000 * [taylor]: Taking taylor expansion of f in f 9.000 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (/ 1 1) into 1 9.000 * [backup-simplify]: Simplify (+ 1 0) into 1 9.001 * [backup-simplify]: Simplify (- 1) into -1 9.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.002 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.002 * [backup-simplify]: Simplify (log -1) into (log -1) 9.003 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 9.004 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 9.004 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 9.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 9.005 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 9.005 * [taylor]: Taking taylor expansion of 1/3 in n 9.005 * [backup-simplify]: Simplify 1/3 into 1/3 9.005 * [taylor]: Taking taylor expansion of (log -1) in n 9.005 * [taylor]: Taking taylor expansion of -1 in n 9.005 * [backup-simplify]: Simplify -1 into -1 9.005 * [backup-simplify]: Simplify (log -1) into (log -1) 9.006 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 9.007 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 9.008 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.009 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify (- 0) into 0 9.010 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.010 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 9.011 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 9.013 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 9.013 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n 9.013 * [taylor]: Taking taylor expansion of 2/3 in n 9.013 * [backup-simplify]: Simplify 2/3 into 2/3 9.013 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n 9.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.013 * [taylor]: Taking taylor expansion of n in n 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.014 * [backup-simplify]: Simplify (/ 1 1) into 1 9.014 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 9.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 9.014 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 9.014 * [taylor]: Taking taylor expansion of 1/3 in n 9.014 * [backup-simplify]: Simplify 1/3 into 1/3 9.014 * [taylor]: Taking taylor expansion of (log -1) in n 9.014 * [taylor]: Taking taylor expansion of -1 in n 9.014 * [backup-simplify]: Simplify -1 into -1 9.014 * [backup-simplify]: Simplify (log -1) into (log -1) 9.015 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 9.017 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 9.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 9.021 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 9.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 9.024 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 9.025 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 9.025 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 9.028 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.030 * [backup-simplify]: Simplify (+ 0 0) into 0 9.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.031 * [backup-simplify]: Simplify (- 0) into 0 9.032 * [backup-simplify]: Simplify (+ 0 0) into 0 9.033 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 9.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 9.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 9.038 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n 9.038 * [taylor]: Taking taylor expansion of 2/9 in n 9.038 * [backup-simplify]: Simplify 2/9 into 2/9 9.038 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n 9.038 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.038 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.038 * [taylor]: Taking taylor expansion of n in n 9.038 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (* 1 1) into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.039 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 9.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 9.039 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 9.039 * [taylor]: Taking taylor expansion of 1/3 in n 9.039 * [backup-simplify]: Simplify 1/3 into 1/3 9.039 * [taylor]: Taking taylor expansion of (log -1) in n 9.039 * [taylor]: Taking taylor expansion of -1 in n 9.040 * [backup-simplify]: Simplify -1 into -1 9.040 * [backup-simplify]: Simplify (log -1) into (log -1) 9.041 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 9.042 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 9.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.044 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 9.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 9.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 9.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 9.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 9.058 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 9.059 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 9.059 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.063 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 9.066 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 9.069 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 9.076 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.077 * [backup-simplify]: Simplify (+ 0 0) into 0 9.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [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)))) 9.083 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 9.084 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 9.087 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 9.087 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n 9.087 * [taylor]: Taking taylor expansion of 22/81 in n 9.088 * [backup-simplify]: Simplify 22/81 into 22/81 9.088 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n 9.088 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.088 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.088 * [taylor]: Taking taylor expansion of n in n 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify (* 1 1) into 1 9.088 * [backup-simplify]: Simplify (* 1 1) into 1 9.089 * [backup-simplify]: Simplify (/ 1 1) into 1 9.089 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 9.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 9.089 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 9.089 * [taylor]: Taking taylor expansion of 1/3 in n 9.089 * [backup-simplify]: Simplify 1/3 into 1/3 9.089 * [taylor]: Taking taylor expansion of (log -1) in n 9.089 * [taylor]: Taking taylor expansion of -1 in n 9.089 * [backup-simplify]: Simplify -1 into -1 9.089 * [backup-simplify]: Simplify (log -1) into (log -1) 9.090 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 9.092 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 9.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 9.098 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 9.104 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 9.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 9.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.113 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.117 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 9.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 9.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 9.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 9.124 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 9.126 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 9.131 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.132 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 9.132 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 9.132 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 9.132 * [taylor]: Taking taylor expansion of -1 in n 9.132 * [backup-simplify]: Simplify -1 into -1 9.132 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.132 * [taylor]: Taking taylor expansion of (+ n f) in n 9.132 * [taylor]: Taking taylor expansion of n in n 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of f in n 9.132 * [backup-simplify]: Simplify f into f 9.132 * [taylor]: Taking taylor expansion of (- f n) in n 9.132 * [taylor]: Taking taylor expansion of f in n 9.132 * [backup-simplify]: Simplify f into f 9.132 * [taylor]: Taking taylor expansion of n in n 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (+ 0 f) into f 9.133 * [backup-simplify]: Simplify (- 0) into 0 9.133 * [backup-simplify]: Simplify (+ f 0) into f 9.133 * [backup-simplify]: Simplify (/ f f) into 1 9.133 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.133 * [taylor]: Taking taylor expansion of -1 in f 9.133 * [backup-simplify]: Simplify -1 into -1 9.133 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.133 * [taylor]: Taking taylor expansion of (+ n f) in f 9.133 * [taylor]: Taking taylor expansion of n in f 9.133 * [backup-simplify]: Simplify n into n 9.133 * [taylor]: Taking taylor expansion of f in f 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [taylor]: Taking taylor expansion of (- f n) in f 9.133 * [taylor]: Taking taylor expansion of f in f 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [taylor]: Taking taylor expansion of n in f 9.133 * [backup-simplify]: Simplify n into n 9.133 * [backup-simplify]: Simplify (+ n 0) into n 9.133 * [backup-simplify]: Simplify (- n) into (- n) 9.133 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.133 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.133 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.133 * [taylor]: Taking taylor expansion of -1 in f 9.134 * [backup-simplify]: Simplify -1 into -1 9.134 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.134 * [taylor]: Taking taylor expansion of (+ n f) in f 9.134 * [taylor]: Taking taylor expansion of n in f 9.134 * [backup-simplify]: Simplify n into n 9.134 * [taylor]: Taking taylor expansion of f in f 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 1 into 1 9.134 * [taylor]: Taking taylor expansion of (- f n) in f 9.134 * [taylor]: Taking taylor expansion of f in f 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 1 into 1 9.134 * [taylor]: Taking taylor expansion of n in f 9.134 * [backup-simplify]: Simplify n into n 9.134 * [backup-simplify]: Simplify (+ n 0) into n 9.134 * [backup-simplify]: Simplify (- n) into (- n) 9.134 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.134 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.134 * [backup-simplify]: Simplify (* -1 -1) into 1 9.135 * [taylor]: Taking taylor expansion of 1 in n 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [backup-simplify]: Simplify (+ 0 1) into 1 9.135 * [backup-simplify]: Simplify (- 0) into 0 9.136 * [backup-simplify]: Simplify (+ 1 0) into 1 9.136 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.136 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.136 * [taylor]: Taking taylor expansion of 2 in n 9.137 * [backup-simplify]: Simplify 2 into 2 9.137 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.137 * [taylor]: Taking taylor expansion of n in n 9.137 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify 1 into 1 9.137 * [backup-simplify]: Simplify (/ 1 1) into 1 9.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify (+ 0 0) into 0 9.140 * [backup-simplify]: Simplify (- 0) into 0 9.140 * [backup-simplify]: Simplify (+ 0 0) into 0 9.140 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.141 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.141 * [taylor]: Taking taylor expansion of 2 in n 9.141 * [backup-simplify]: Simplify 2 into 2 9.141 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.141 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.141 * [taylor]: Taking taylor expansion of n in n 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 1 into 1 9.142 * [backup-simplify]: Simplify (* 1 1) into 1 9.142 * [backup-simplify]: Simplify (/ 1 1) into 1 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify (+ 0 0) into 0 9.149 * [backup-simplify]: Simplify (- 0) into 0 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [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)))) 9.151 * [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))) 9.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.151 * [taylor]: Taking taylor expansion of 2 in n 9.151 * [backup-simplify]: Simplify 2 into 2 9.151 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.151 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.151 * [taylor]: Taking taylor expansion of n in n 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.151 * [backup-simplify]: Simplify (* 1 1) into 1 9.152 * [backup-simplify]: Simplify (* 1 1) into 1 9.152 * [backup-simplify]: Simplify (/ 1 1) into 1 9.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 9.161 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 9.161 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 9.161 * [taylor]: Taking taylor expansion of -1 in n 9.161 * [backup-simplify]: Simplify -1 into -1 9.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 9.161 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.161 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.161 * [taylor]: Taking taylor expansion of f in n 9.161 * [backup-simplify]: Simplify f into f 9.162 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.162 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.162 * [taylor]: Taking taylor expansion of n in n 9.162 * [backup-simplify]: Simplify 0 into 0 9.162 * [backup-simplify]: Simplify 1 into 1 9.162 * [backup-simplify]: Simplify (/ 1 1) into 1 9.162 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.162 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.162 * [taylor]: Taking taylor expansion of f in n 9.162 * [backup-simplify]: Simplify f into f 9.162 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.162 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.162 * [taylor]: Taking taylor expansion of n in n 9.162 * [backup-simplify]: Simplify 0 into 0 9.162 * [backup-simplify]: Simplify 1 into 1 9.163 * [backup-simplify]: Simplify (/ 1 1) into 1 9.163 * [backup-simplify]: Simplify (+ 0 1) into 1 9.163 * [backup-simplify]: Simplify (- 1) into -1 9.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.164 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.164 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.164 * [taylor]: Taking taylor expansion of -1 in f 9.164 * [backup-simplify]: Simplify -1 into -1 9.164 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.164 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.164 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.165 * [taylor]: Taking taylor expansion of f in f 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 1 into 1 9.165 * [backup-simplify]: Simplify (/ 1 1) into 1 9.165 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.165 * [taylor]: Taking taylor expansion of n in f 9.165 * [backup-simplify]: Simplify n into n 9.165 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.165 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.165 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.165 * [taylor]: Taking taylor expansion of f in f 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 1 into 1 9.166 * [backup-simplify]: Simplify (/ 1 1) into 1 9.166 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.166 * [taylor]: Taking taylor expansion of n in f 9.166 * [backup-simplify]: Simplify n into n 9.166 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.166 * [backup-simplify]: Simplify (+ 1 0) into 1 9.167 * [backup-simplify]: Simplify (+ 1 0) into 1 9.167 * [backup-simplify]: Simplify (/ 1 1) into 1 9.167 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.167 * [taylor]: Taking taylor expansion of -1 in f 9.167 * [backup-simplify]: Simplify -1 into -1 9.167 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.167 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.167 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.167 * [taylor]: Taking taylor expansion of f in f 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.168 * [backup-simplify]: Simplify (/ 1 1) into 1 9.168 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.168 * [taylor]: Taking taylor expansion of n in f 9.168 * [backup-simplify]: Simplify n into n 9.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.168 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.168 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.168 * [taylor]: Taking taylor expansion of f in f 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 1 into 1 9.168 * [backup-simplify]: Simplify (/ 1 1) into 1 9.168 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.168 * [taylor]: Taking taylor expansion of n in f 9.168 * [backup-simplify]: Simplify n into n 9.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.169 * [backup-simplify]: Simplify (+ 1 0) into 1 9.169 * [backup-simplify]: Simplify (+ 1 0) into 1 9.170 * [backup-simplify]: Simplify (/ 1 1) into 1 9.170 * [backup-simplify]: Simplify (* -1 1) into -1 9.170 * [taylor]: Taking taylor expansion of -1 in n 9.170 * [backup-simplify]: Simplify -1 into -1 9.170 * [backup-simplify]: Simplify -1 into -1 9.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.171 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.172 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.172 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.172 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 9.173 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 9.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.173 * [taylor]: Taking taylor expansion of 2 in n 9.173 * [backup-simplify]: Simplify 2 into 2 9.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.173 * [taylor]: Taking taylor expansion of n in n 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify 1 into 1 9.173 * [backup-simplify]: Simplify (/ 1 1) into 1 9.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.175 * [backup-simplify]: Simplify (- 0) into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.177 * [backup-simplify]: Simplify (+ 0 0) into 0 9.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.178 * [backup-simplify]: Simplify (- 0) into 0 9.178 * [backup-simplify]: Simplify (+ 0 0) into 0 9.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 9.180 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 9.180 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.180 * [taylor]: Taking taylor expansion of 2 in n 9.180 * [backup-simplify]: Simplify 2 into 2 9.180 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.180 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.180 * [taylor]: Taking taylor expansion of n in n 9.180 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (* 1 1) into 1 9.181 * [backup-simplify]: Simplify (/ 1 1) into 1 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.184 * [backup-simplify]: Simplify (- 0) into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.185 * [backup-simplify]: Simplify (- 0) into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.186 * [backup-simplify]: Simplify (+ 0 0) into 0 9.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.187 * [backup-simplify]: Simplify (- 0) into 0 9.187 * [backup-simplify]: Simplify (+ 0 0) into 0 9.188 * [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))) 9.189 * [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)))) 9.189 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.189 * [taylor]: Taking taylor expansion of 2 in n 9.189 * [backup-simplify]: Simplify 2 into 2 9.189 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.189 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.189 * [taylor]: Taking taylor expansion of n in n 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify (* 1 1) into 1 9.190 * [backup-simplify]: Simplify (* 1 1) into 1 9.190 * [backup-simplify]: Simplify (/ 1 1) into 1 9.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.195 * [backup-simplify]: Simplify (- 0) into 0 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify -1 into -1 9.195 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 9.195 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 9.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 9.195 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.195 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.195 * [taylor]: Taking taylor expansion of f in n 9.195 * [backup-simplify]: Simplify f into f 9.195 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.195 * [taylor]: Taking taylor expansion of n in n 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (/ 1 1) into 1 9.196 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.196 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.196 * [taylor]: Taking taylor expansion of n in n 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (/ 1 1) into 1 9.196 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.196 * [taylor]: Taking taylor expansion of f in n 9.196 * [backup-simplify]: Simplify f into f 9.196 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.196 * [backup-simplify]: Simplify (+ 0 1) into 1 9.197 * [backup-simplify]: Simplify (+ 1 0) into 1 9.197 * [backup-simplify]: Simplify (/ 1 1) into 1 9.197 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.197 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.197 * [taylor]: Taking taylor expansion of f in f 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [backup-simplify]: Simplify (/ 1 1) into 1 9.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.197 * [taylor]: Taking taylor expansion of n in f 9.197 * [backup-simplify]: Simplify n into n 9.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.197 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.197 * [taylor]: Taking taylor expansion of n in f 9.197 * [backup-simplify]: Simplify n into n 9.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.197 * [taylor]: Taking taylor expansion of f in f 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.198 * [backup-simplify]: Simplify (/ 1 1) into 1 9.198 * [backup-simplify]: Simplify (+ 1 0) into 1 9.198 * [backup-simplify]: Simplify (- 1) into -1 9.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.199 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.199 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.199 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.199 * [taylor]: Taking taylor expansion of f in f 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 1 into 1 9.199 * [backup-simplify]: Simplify (/ 1 1) into 1 9.199 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.199 * [taylor]: Taking taylor expansion of n in f 9.199 * [backup-simplify]: Simplify n into n 9.199 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.199 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.199 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.199 * [taylor]: Taking taylor expansion of n in f 9.199 * [backup-simplify]: Simplify n into n 9.199 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.199 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.199 * [taylor]: Taking taylor expansion of f in f 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.200 * [backup-simplify]: Simplify (+ 1 0) into 1 9.200 * [backup-simplify]: Simplify (- 1) into -1 9.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.201 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.201 * [taylor]: Taking taylor expansion of -1 in n 9.201 * [backup-simplify]: Simplify -1 into -1 9.201 * [backup-simplify]: Simplify -1 into -1 9.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.201 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.202 * [backup-simplify]: Simplify (- 0) into 0 9.202 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.202 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.202 * [taylor]: Taking taylor expansion of 2 in n 9.202 * [backup-simplify]: Simplify 2 into 2 9.202 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.202 * [taylor]: Taking taylor expansion of n in n 9.202 * [backup-simplify]: Simplify 0 into 0 9.202 * [backup-simplify]: Simplify 1 into 1 9.202 * [backup-simplify]: Simplify (/ 1 1) into 1 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.203 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.204 * [backup-simplify]: Simplify (- 0) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.204 * [backup-simplify]: Simplify (+ 0 0) into 0 9.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.206 * [backup-simplify]: Simplify (+ 0 0) into 0 9.207 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.207 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.207 * [taylor]: Taking taylor expansion of 2 in n 9.207 * [backup-simplify]: Simplify 2 into 2 9.207 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.207 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.207 * [taylor]: Taking taylor expansion of n in n 9.207 * [backup-simplify]: Simplify 0 into 0 9.207 * [backup-simplify]: Simplify 1 into 1 9.207 * [backup-simplify]: Simplify (* 1 1) into 1 9.208 * [backup-simplify]: Simplify (/ 1 1) into 1 9.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.212 * [backup-simplify]: Simplify (- 0) into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.214 * [backup-simplify]: Simplify (- 0) into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.216 * [backup-simplify]: Simplify (+ 0 0) into 0 9.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.217 * [backup-simplify]: Simplify (- 0) into 0 9.218 * [backup-simplify]: Simplify (+ 0 0) into 0 9.219 * [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)))) 9.219 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.220 * [taylor]: Taking taylor expansion of 2 in n 9.220 * [backup-simplify]: Simplify 2 into 2 9.220 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.220 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.220 * [taylor]: Taking taylor expansion of n in n 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [backup-simplify]: Simplify (* 1 1) into 1 9.220 * [backup-simplify]: Simplify (* 1 1) into 1 9.221 * [backup-simplify]: Simplify (/ 1 1) into 1 9.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.230 * [backup-simplify]: Simplify (- 0) into 0 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify -1 into -1 9.230 * * * [progress]: simplifying candidates 9.252 * [simplify]: Simplifying: (expm1 (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (log1p (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (+ 1 1) (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (- (log (- 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(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))) (/ (- (- f) n) (sqrt (- f n))) 1 (/ (- (- f) n) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (- f) n) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) 1 (/ (- (- f) n) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (- f) n) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (- f) n)) (/ (+ n f) (- f n)) (/ (/ (- (- f) n) (cbrt (- f n))) (cbrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) (- (- f) n) (- (/ (+ n f) (+ (sqrt n) (sqrt f)))) (- (- f) n) (/ (- f n) (cbrt (- (- f) n))) (/ (- f n) (sqrt (- (- f) n))) (/ (- f n) (- (- f) n)) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (/ (- (- f) n) (- (* f (* f f)) (* n (* n n)))) (- (/ (+ n f) (* (+ n f) (- f n)))) (* (- f n) (fma n (- n f) (* f f))) (* (- f n) (- f n)) 1 1 1 1 1 1 (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) 1 -1 -1 12.349 * * * [progress]: adding candidates to table 14.572 * [progress]: [Phase 3 of 3] Extracting. 14.572 * * [regime]: Finding splitpoints for: (# # #) 14.574 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 14.574 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 14.605 * * * * [regimes]: Trying to branch on n from (# # #) 14.637 * * * * [regimes]: Trying to branch on f from (# # #) 14.704 * * * [regime]: Found split indices: #