0.772 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.154 * * * [progress]: [2/2] Setting up program. 0.157 * [progress]: [Phase 2 of 3] Improving. 0.157 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.159 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.160 * * [simplify]: iteration 0: 6 enodes 0.165 * * [simplify]: iteration 1: 13 enodes 0.167 * * [simplify]: iteration 2: 16 enodes 0.169 * * [simplify]: iteration 3: 20 enodes 0.172 * * [simplify]: iteration 4: 24 enodes 0.176 * * [simplify]: iteration 5: 29 enodes 0.180 * * [simplify]: iteration 6: 31 enodes 0.185 * * [simplify]: iteration complete: 31 enodes 0.185 * * [simplify]: Extracting #0: cost 1 inf + 0 0.185 * * [simplify]: Extracting #1: cost 9 inf + 0 0.185 * * [simplify]: Extracting #2: cost 14 inf + 0 0.186 * * [simplify]: Extracting #3: cost 11 inf + 43 0.186 * * [simplify]: Extracting #4: cost 2 inf + 860 0.187 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.187 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.190 * * [progress]: iteration 1 / 4 0.191 * * * [progress]: picking best candidate 0.195 * * * * [pick]: Picked # 0.195 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.336 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.336 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.338 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.338 * [taylor]: Taking taylor expansion of -1 in n 0.338 * [backup-simplify]: Simplify -1 into -1 0.338 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.338 * [taylor]: Taking taylor expansion of (+ n f) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of f in n 0.338 * [backup-simplify]: Simplify f into f 0.338 * [taylor]: Taking taylor expansion of (- f n) in n 0.339 * [taylor]: Taking taylor expansion of f in n 0.339 * [backup-simplify]: Simplify f into f 0.339 * [taylor]: Taking taylor expansion of n in n 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (+ 0 f) into f 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ f 0) into f 0.341 * [backup-simplify]: Simplify (/ f f) into 1 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.341 * [taylor]: Taking taylor expansion of -1 in f 0.341 * [backup-simplify]: Simplify -1 into -1 0.341 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.341 * [taylor]: Taking taylor expansion of (+ n f) in f 0.341 * [taylor]: Taking taylor expansion of n in f 0.341 * [backup-simplify]: Simplify n into n 0.341 * [taylor]: Taking taylor expansion of f in f 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of (- f n) in f 0.341 * [taylor]: Taking taylor expansion of f in f 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of n in f 0.341 * [backup-simplify]: Simplify n into n 0.341 * [backup-simplify]: Simplify (+ n 0) into n 0.341 * [backup-simplify]: Simplify (- n) into (- n) 0.342 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.342 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.342 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.342 * [taylor]: Taking taylor expansion of -1 in f 0.342 * [backup-simplify]: Simplify -1 into -1 0.342 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.342 * [taylor]: Taking taylor expansion of (+ n f) in f 0.342 * [taylor]: Taking taylor expansion of n in f 0.342 * [backup-simplify]: Simplify n into n 0.342 * [taylor]: Taking taylor expansion of f in f 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (- f n) in f 0.342 * [taylor]: Taking taylor expansion of f in f 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of n in f 0.342 * [backup-simplify]: Simplify n into n 0.342 * [backup-simplify]: Simplify (+ n 0) into n 0.342 * [backup-simplify]: Simplify (- n) into (- n) 0.342 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.342 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.344 * [backup-simplify]: Simplify (* -1 -1) into 1 0.344 * [taylor]: Taking taylor expansion of 1 in n 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (+ 0 1) into 1 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.348 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.348 * [taylor]: Taking taylor expansion of 2 in n 0.348 * [backup-simplify]: Simplify 2 into 2 0.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.354 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.354 * [taylor]: Taking taylor expansion of 2 in n 0.354 * [backup-simplify]: Simplify 2 into 2 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.354 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 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 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [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)))) 0.399 * [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))) 0.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.399 * [taylor]: Taking taylor expansion of 2 in n 0.399 * [backup-simplify]: Simplify 2 into 2 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.399 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.401 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.418 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.418 * [taylor]: Taking taylor expansion of -1 in n 0.418 * [backup-simplify]: Simplify -1 into -1 0.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.418 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.418 * [taylor]: Taking taylor expansion of f in n 0.418 * [backup-simplify]: Simplify f into f 0.419 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.420 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.420 * [taylor]: Taking taylor expansion of f in n 0.420 * [backup-simplify]: Simplify f into f 0.420 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.420 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.422 * [backup-simplify]: Simplify (- 1) into -1 0.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.423 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.423 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.423 * [taylor]: Taking taylor expansion of -1 in f 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.423 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.423 * [taylor]: Taking taylor expansion of f in f 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.423 * [taylor]: Taking taylor expansion of n in f 0.423 * [backup-simplify]: Simplify n into n 0.423 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.424 * [taylor]: Taking taylor expansion of f in f 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.424 * [taylor]: Taking taylor expansion of n in f 0.424 * [backup-simplify]: Simplify n into n 0.424 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.426 * [taylor]: Taking taylor expansion of -1 in f 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.426 * [taylor]: Taking taylor expansion of f in f 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.426 * [taylor]: Taking taylor expansion of n in f 0.426 * [backup-simplify]: Simplify n into n 0.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.427 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.427 * [taylor]: Taking taylor expansion of f in f 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 0.427 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.427 * [taylor]: Taking taylor expansion of n in f 0.427 * [backup-simplify]: Simplify n into n 0.427 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (* -1 1) into -1 0.428 * [taylor]: Taking taylor expansion of -1 in n 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [backup-simplify]: Simplify -1 into -1 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.430 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.430 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.430 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.430 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.430 * [taylor]: Taking taylor expansion of 2 in n 0.430 * [backup-simplify]: Simplify 2 into 2 0.430 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.476 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.477 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.477 * [taylor]: Taking taylor expansion of 2 in n 0.478 * [backup-simplify]: Simplify 2 into 2 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.478 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.478 * [taylor]: Taking taylor expansion of n in n 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [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))) 0.498 * [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)))) 0.498 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.498 * [taylor]: Taking taylor expansion of 2 in n 0.498 * [backup-simplify]: Simplify 2 into 2 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.498 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.498 * [taylor]: Taking taylor expansion of n in n 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify -1 into -1 0.510 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.510 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.510 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.510 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.510 * [taylor]: Taking taylor expansion of f in n 0.510 * [backup-simplify]: Simplify f into f 0.510 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.510 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.510 * [taylor]: Taking taylor expansion of n in n 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.511 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.511 * [taylor]: Taking taylor expansion of n in n 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.512 * [taylor]: Taking taylor expansion of f in n 0.512 * [backup-simplify]: Simplify f into f 0.512 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.512 * [backup-simplify]: Simplify (+ 0 1) into 1 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.513 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.513 * [taylor]: Taking taylor expansion of f in f 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.514 * [taylor]: Taking taylor expansion of n in f 0.514 * [backup-simplify]: Simplify n into n 0.514 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.514 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.514 * [taylor]: Taking taylor expansion of n in f 0.514 * [backup-simplify]: Simplify n into n 0.514 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.514 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.514 * [taylor]: Taking taylor expansion of f in f 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (- 1) into -1 0.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.516 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.517 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.517 * [taylor]: Taking taylor expansion of f in f 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.517 * [taylor]: Taking taylor expansion of n in f 0.517 * [backup-simplify]: Simplify n into n 0.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.517 * [taylor]: Taking taylor expansion of n in f 0.517 * [backup-simplify]: Simplify n into n 0.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.517 * [taylor]: Taking taylor expansion of f in f 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [backup-simplify]: Simplify (- 1) into -1 0.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.520 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.520 * [taylor]: Taking taylor expansion of -1 in n 0.520 * [backup-simplify]: Simplify -1 into -1 0.520 * [backup-simplify]: Simplify -1 into -1 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.523 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.523 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.523 * [taylor]: Taking taylor expansion of 2 in n 0.523 * [backup-simplify]: Simplify 2 into 2 0.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.531 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.531 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.531 * [taylor]: Taking taylor expansion of 2 in n 0.531 * [backup-simplify]: Simplify 2 into 2 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.531 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.531 * [taylor]: Taking taylor expansion of n in n 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.545 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.545 * [taylor]: Taking taylor expansion of 2 in n 0.545 * [backup-simplify]: Simplify 2 into 2 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.545 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify -1 into -1 0.570 * * * [progress]: simplifying candidates 0.571 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 0.571 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 0.572 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 0.573 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 0.574 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 0.575 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 0.576 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 96 / 99 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.577 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 0.577 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 0.579 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.583 * * [simplify]: iteration 0: 134 enodes 0.641 * * [simplify]: iteration 1: 312 enodes 0.723 * * [simplify]: iteration 2: 699 enodes 0.971 * * [simplify]: iteration 3: 2205 enodes 1.785 * * [simplify]: iteration complete: 5001 enodes 1.785 * * [simplify]: Extracting #0: cost 87 inf + 0 1.786 * * [simplify]: Extracting #1: cost 447 inf + 3 1.790 * * [simplify]: Extracting #2: cost 1057 inf + 7951 1.808 * * [simplify]: Extracting #3: cost 983 inf + 102203 1.871 * * [simplify]: Extracting #4: cost 354 inf + 243278 1.927 * * [simplify]: Extracting #5: cost 80 inf + 304677 2.005 * * [simplify]: Extracting #6: cost 45 inf + 315781 2.099 * * [simplify]: Extracting #7: cost 9 inf + 322557 2.188 * * [simplify]: Extracting #8: cost 0 inf + 324834 2.290 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (- (- 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 (- (+ 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)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (/ (- (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* n (* n n)))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) (real->posit16 (/ (- (+ n f)) (- f n))) 1 -1 -1 2.296 * * * [progress]: adding candidates to table 2.581 * * [progress]: iteration 2 / 4 2.582 * * * [progress]: picking best candidate 2.588 * * * * [pick]: Picked # 2.588 * * * [progress]: localizing error 2.619 * * * [progress]: generating rewritten candidates 2.619 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.786 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.827 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.868 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.919 * * * [progress]: generating series expansions 2.919 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.920 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 2.920 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 2.920 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 2.920 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 2.920 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.920 * [taylor]: Taking taylor expansion of -1 in n 2.920 * [backup-simplify]: Simplify -1 into -1 2.921 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.922 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.922 * [taylor]: Taking taylor expansion of (+ n f) in n 2.922 * [taylor]: Taking taylor expansion of n in n 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [taylor]: Taking taylor expansion of f in n 2.922 * [backup-simplify]: Simplify f into f 2.922 * [taylor]: Taking taylor expansion of (- f n) in n 2.922 * [taylor]: Taking taylor expansion of f in n 2.922 * [backup-simplify]: Simplify f into f 2.926 * [taylor]: Taking taylor expansion of n in n 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (+ 0 f) into f 2.927 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 2.927 * [backup-simplify]: Simplify (- 0) into 0 2.927 * [backup-simplify]: Simplify (+ f 0) into f 2.928 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 2.928 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.928 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.928 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.928 * [taylor]: Taking taylor expansion of -1 in f 2.928 * [backup-simplify]: Simplify -1 into -1 2.929 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.929 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.930 * [taylor]: Taking taylor expansion of (+ n f) in f 2.930 * [taylor]: Taking taylor expansion of n in f 2.930 * [backup-simplify]: Simplify n into n 2.930 * [taylor]: Taking taylor expansion of f in f 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of (- f n) in f 2.930 * [taylor]: Taking taylor expansion of f in f 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of n in f 2.930 * [backup-simplify]: Simplify n into n 2.930 * [backup-simplify]: Simplify (+ n 0) into n 2.930 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 2.930 * [backup-simplify]: Simplify (- n) into (- n) 2.931 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.931 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 2.931 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.931 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.931 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.931 * [taylor]: Taking taylor expansion of -1 in f 2.931 * [backup-simplify]: Simplify -1 into -1 2.932 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.932 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.932 * [taylor]: Taking taylor expansion of (+ n f) in f 2.933 * [taylor]: Taking taylor expansion of n in f 2.933 * [backup-simplify]: Simplify n into n 2.933 * [taylor]: Taking taylor expansion of f in f 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of (- f n) in f 2.933 * [taylor]: Taking taylor expansion of f in f 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of n in f 2.933 * [backup-simplify]: Simplify n into n 2.933 * [backup-simplify]: Simplify (+ n 0) into n 2.933 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 2.933 * [backup-simplify]: Simplify (- n) into (- n) 2.933 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.934 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 2.934 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 2.934 * [taylor]: Taking taylor expansion of -1 in n 2.934 * [backup-simplify]: Simplify -1 into -1 2.934 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.934 * [taylor]: Taking taylor expansion of -1 in n 2.934 * [backup-simplify]: Simplify -1 into -1 2.935 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.936 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.937 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.937 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.938 * [backup-simplify]: Simplify (+ 0 1) into 1 2.939 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 2.939 * [backup-simplify]: Simplify (- 0) into 0 2.940 * [backup-simplify]: Simplify (+ 1 0) into 1 2.942 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 2.942 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 2.942 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.942 * [taylor]: Taking taylor expansion of 2 in n 2.942 * [backup-simplify]: Simplify 2 into 2 2.942 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.942 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.942 * [taylor]: Taking taylor expansion of -1 in n 2.942 * [backup-simplify]: Simplify -1 into -1 2.942 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.943 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.943 * [taylor]: Taking taylor expansion of n in n 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 2.946 * [backup-simplify]: Simplify (- 0) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.950 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 2.953 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 2.953 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 2.953 * [taylor]: Taking taylor expansion of 2 in n 2.953 * [backup-simplify]: Simplify 2 into 2 2.953 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.953 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.954 * [taylor]: Taking taylor expansion of -1 in n 2.954 * [backup-simplify]: Simplify -1 into -1 2.954 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.956 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.956 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.956 * [taylor]: Taking taylor expansion of n in n 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (* 1 1) into 1 2.957 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.969 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.971 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.973 * [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)))) 2.973 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 2.973 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 2.973 * [taylor]: Taking taylor expansion of 2 in n 2.973 * [backup-simplify]: Simplify 2 into 2 2.973 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.973 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.973 * [taylor]: Taking taylor expansion of -1 in n 2.973 * [backup-simplify]: Simplify -1 into -1 2.974 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.974 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.974 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.974 * [taylor]: Taking taylor expansion of n in n 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.975 * [backup-simplify]: Simplify (* 1 1) into 1 2.975 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.983 * [backup-simplify]: Simplify (- 0) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.984 * [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))) 2.984 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.984 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 2.984 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 2.984 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.984 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.984 * [taylor]: Taking taylor expansion of f in n 2.984 * [backup-simplify]: Simplify f into f 2.984 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.984 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.984 * [taylor]: Taking taylor expansion of n in n 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.985 * [taylor]: Taking taylor expansion of -1 in n 2.985 * [backup-simplify]: Simplify -1 into -1 2.985 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.985 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.985 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.985 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.985 * [taylor]: Taking taylor expansion of f in n 2.985 * [backup-simplify]: Simplify f into f 2.985 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.986 * [taylor]: Taking taylor expansion of n in n 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (+ 0 1) into 1 2.987 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.987 * [backup-simplify]: Simplify (- 1) into -1 2.987 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.988 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 2.988 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 2.988 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 2.988 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.988 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.988 * [taylor]: Taking taylor expansion of f in f 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (/ 1 1) into 1 2.988 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.988 * [taylor]: Taking taylor expansion of n in f 2.988 * [backup-simplify]: Simplify n into n 2.988 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.988 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.988 * [taylor]: Taking taylor expansion of -1 in f 2.988 * [backup-simplify]: Simplify -1 into -1 2.989 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.989 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.989 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.989 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.989 * [taylor]: Taking taylor expansion of f in f 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.989 * [taylor]: Taking taylor expansion of n in f 2.989 * [backup-simplify]: Simplify n into n 2.989 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.990 * [backup-simplify]: Simplify (+ 1 0) into 1 2.990 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.991 * [backup-simplify]: Simplify (+ 1 0) into 1 2.991 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.991 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 2.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 2.991 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.991 * [taylor]: Taking taylor expansion of f in f 2.991 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (/ 1 1) into 1 2.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.992 * [taylor]: Taking taylor expansion of n in f 2.992 * [backup-simplify]: Simplify n into n 2.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.992 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.992 * [taylor]: Taking taylor expansion of -1 in f 2.992 * [backup-simplify]: Simplify -1 into -1 2.992 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.993 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.993 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.993 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.993 * [taylor]: Taking taylor expansion of f in f 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.993 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.993 * [taylor]: Taking taylor expansion of n in f 2.993 * [backup-simplify]: Simplify n into n 2.993 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.993 * [backup-simplify]: Simplify (+ 1 0) into 1 2.994 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.994 * [backup-simplify]: Simplify (+ 1 0) into 1 2.995 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.995 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.995 * [taylor]: Taking taylor expansion of -1 in n 2.995 * [backup-simplify]: Simplify -1 into -1 2.995 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.996 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.996 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) (cbrt -1))) into (/ (cbrt -1) n) 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.998 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.998 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 2.998 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.998 * [taylor]: Taking taylor expansion of 2 in n 2.998 * [backup-simplify]: Simplify 2 into 2 2.998 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.998 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.998 * [taylor]: Taking taylor expansion of -1 in n 2.999 * [backup-simplify]: Simplify -1 into -1 2.999 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.000 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.000 * [taylor]: Taking taylor expansion of n in n 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.003 * [backup-simplify]: Simplify (+ 0 0) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 (cbrt -1)))) into 0 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.005 * [backup-simplify]: Simplify (- 0) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 3.006 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 3.006 * [taylor]: Taking taylor expansion of 2 in n 3.006 * [backup-simplify]: Simplify 2 into 2 3.006 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.006 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.006 * [taylor]: Taking taylor expansion of -1 in n 3.006 * [backup-simplify]: Simplify -1 into -1 3.006 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.007 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.007 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.007 * [taylor]: Taking taylor expansion of n in n 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.015 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.021 * [backup-simplify]: Simplify (- 0) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [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))) 3.023 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 3.023 * [taylor]: Taking taylor expansion of 2 in n 3.023 * [backup-simplify]: Simplify 2 into 2 3.023 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.023 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.023 * [taylor]: Taking taylor expansion of -1 in n 3.024 * [backup-simplify]: Simplify -1 into -1 3.024 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.024 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.024 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.024 * [taylor]: Taking taylor expansion of n in n 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (* 1 1) into 1 3.025 * [backup-simplify]: Simplify (* 1 1) into 1 3.025 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 3.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.037 * [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))) 3.037 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.037 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.037 * [taylor]: Taking taylor expansion of f in n 3.037 * [backup-simplify]: Simplify f into f 3.037 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.037 * [taylor]: Taking taylor expansion of n in n 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.038 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.038 * [taylor]: Taking taylor expansion of n in n 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.038 * [taylor]: Taking taylor expansion of f in n 3.038 * [backup-simplify]: Simplify f into f 3.038 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.038 * [backup-simplify]: Simplify (+ 0 1) into 1 3.038 * [backup-simplify]: Simplify (+ 1 0) into 1 3.039 * [backup-simplify]: Simplify (/ 1 1) into 1 3.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.039 * [taylor]: Taking taylor expansion of f in f 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify (/ 1 1) into 1 3.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.039 * [taylor]: Taking taylor expansion of n in f 3.039 * [backup-simplify]: Simplify n into n 3.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.039 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.039 * [taylor]: Taking taylor expansion of n in f 3.039 * [backup-simplify]: Simplify n into n 3.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.039 * [taylor]: Taking taylor expansion of f in f 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (/ 1 1) into 1 3.040 * [backup-simplify]: Simplify (+ 1 0) into 1 3.040 * [backup-simplify]: Simplify (- 1) into -1 3.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.041 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.041 * [taylor]: Taking taylor expansion of f in f 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.041 * [taylor]: Taking taylor expansion of n in f 3.041 * [backup-simplify]: Simplify n into n 3.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.041 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.041 * [taylor]: Taking taylor expansion of n in f 3.041 * [backup-simplify]: Simplify n into n 3.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.041 * [taylor]: Taking taylor expansion of f in f 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [backup-simplify]: Simplify (+ 1 0) into 1 3.042 * [backup-simplify]: Simplify (- 1) into -1 3.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.042 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.042 * [taylor]: Taking taylor expansion of -1 in n 3.042 * [backup-simplify]: Simplify -1 into -1 3.043 * [backup-simplify]: Simplify -1 into -1 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (- 0) into 0 3.044 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.044 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.044 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.044 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.044 * [taylor]: Taking taylor expansion of 2 in n 3.044 * [backup-simplify]: Simplify 2 into 2 3.044 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.044 * [taylor]: Taking taylor expansion of n in n 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [backup-simplify]: Simplify (/ 1 1) into 1 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.045 * [backup-simplify]: Simplify (- 0) into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- 0) into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.048 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.048 * [taylor]: Taking taylor expansion of 2 in n 3.048 * [backup-simplify]: Simplify 2 into 2 3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.048 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.048 * [taylor]: Taking taylor expansion of n in n 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 1 into 1 3.048 * [backup-simplify]: Simplify (* 1 1) into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.051 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.053 * [backup-simplify]: Simplify (- 0) into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.054 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.054 * [backup-simplify]: Simplify (- 0) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.056 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.056 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.056 * [taylor]: Taking taylor expansion of 2 in n 3.056 * [backup-simplify]: Simplify 2 into 2 3.056 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.056 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.056 * [taylor]: Taking taylor expansion of n in n 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (* 1 1) into 1 3.056 * [backup-simplify]: Simplify (* 1 1) into 1 3.057 * [backup-simplify]: Simplify (/ 1 1) into 1 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (- 0) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify -1 into -1 3.062 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.062 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.062 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.062 * [taylor]: Taking taylor expansion of -1 in n 3.062 * [backup-simplify]: Simplify -1 into -1 3.062 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.062 * [taylor]: Taking taylor expansion of (+ n f) in n 3.062 * [taylor]: Taking taylor expansion of n in n 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [taylor]: Taking taylor expansion of f in n 3.062 * [backup-simplify]: Simplify f into f 3.062 * [taylor]: Taking taylor expansion of (- f n) in n 3.062 * [taylor]: Taking taylor expansion of f in n 3.062 * [backup-simplify]: Simplify f into f 3.062 * [taylor]: Taking taylor expansion of n in n 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (+ 0 f) into f 3.063 * [backup-simplify]: Simplify (- 0) into 0 3.063 * [backup-simplify]: Simplify (+ f 0) into f 3.063 * [backup-simplify]: Simplify (/ f f) into 1 3.063 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.063 * [taylor]: Taking taylor expansion of -1 in f 3.063 * [backup-simplify]: Simplify -1 into -1 3.063 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.063 * [taylor]: Taking taylor expansion of (+ n f) in f 3.063 * [taylor]: Taking taylor expansion of n in f 3.063 * [backup-simplify]: Simplify n into n 3.063 * [taylor]: Taking taylor expansion of f in f 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [taylor]: Taking taylor expansion of (- f n) in f 3.063 * [taylor]: Taking taylor expansion of f in f 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [taylor]: Taking taylor expansion of n in f 3.063 * [backup-simplify]: Simplify n into n 3.063 * [backup-simplify]: Simplify (+ n 0) into n 3.063 * [backup-simplify]: Simplify (- n) into (- n) 3.063 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.063 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.063 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.063 * [taylor]: Taking taylor expansion of -1 in f 3.063 * [backup-simplify]: Simplify -1 into -1 3.063 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.063 * [taylor]: Taking taylor expansion of (+ n f) in f 3.063 * [taylor]: Taking taylor expansion of n in f 3.063 * [backup-simplify]: Simplify n into n 3.063 * [taylor]: Taking taylor expansion of f in f 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [taylor]: Taking taylor expansion of (- f n) in f 3.063 * [taylor]: Taking taylor expansion of f in f 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [taylor]: Taking taylor expansion of n in f 3.063 * [backup-simplify]: Simplify n into n 3.063 * [backup-simplify]: Simplify (+ n 0) into n 3.063 * [backup-simplify]: Simplify (- n) into (- n) 3.063 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.063 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.064 * [backup-simplify]: Simplify (* -1 -1) into 1 3.064 * [taylor]: Taking taylor expansion of 1 in n 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify (+ 0 1) into 1 3.064 * [backup-simplify]: Simplify (- 0) into 0 3.064 * [backup-simplify]: Simplify (+ 1 0) into 1 3.065 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.065 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.065 * [taylor]: Taking taylor expansion of 2 in n 3.065 * [backup-simplify]: Simplify 2 into 2 3.065 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.065 * [taylor]: Taking taylor expansion of n in n 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (/ 1 1) into 1 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.067 * [backup-simplify]: Simplify (- 0) into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.068 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.068 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.068 * [taylor]: Taking taylor expansion of 2 in n 3.068 * [backup-simplify]: Simplify 2 into 2 3.068 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.068 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.068 * [taylor]: Taking taylor expansion of n in n 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (* 1 1) into 1 3.069 * [backup-simplify]: Simplify (/ 1 1) into 1 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.073 * [backup-simplify]: Simplify (- 0) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.073 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.074 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.074 * [taylor]: Taking taylor expansion of 2 in n 3.074 * [backup-simplify]: Simplify 2 into 2 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.074 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.074 * [taylor]: Taking taylor expansion of n in n 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (* 1 1) into 1 3.074 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.080 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.080 * [taylor]: Taking taylor expansion of -1 in n 3.080 * [backup-simplify]: Simplify -1 into -1 3.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.080 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.080 * [taylor]: Taking taylor expansion of f in n 3.080 * [backup-simplify]: Simplify f into f 3.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.081 * [taylor]: Taking taylor expansion of n in n 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.081 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.081 * [taylor]: Taking taylor expansion of f in n 3.081 * [backup-simplify]: Simplify f into f 3.081 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.081 * [taylor]: Taking taylor expansion of n in n 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [backup-simplify]: Simplify (+ 0 1) into 1 3.082 * [backup-simplify]: Simplify (- 1) into -1 3.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.082 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.082 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.082 * [taylor]: Taking taylor expansion of -1 in f 3.082 * [backup-simplify]: Simplify -1 into -1 3.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.082 * [taylor]: Taking taylor expansion of f in f 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.083 * [taylor]: Taking taylor expansion of n in f 3.083 * [backup-simplify]: Simplify n into n 3.083 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.083 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.083 * [taylor]: Taking taylor expansion of f in f 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.083 * [taylor]: Taking taylor expansion of n in f 3.083 * [backup-simplify]: Simplify n into n 3.083 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.084 * [backup-simplify]: Simplify (+ 1 0) into 1 3.084 * [backup-simplify]: Simplify (+ 1 0) into 1 3.085 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.085 * [taylor]: Taking taylor expansion of -1 in f 3.085 * [backup-simplify]: Simplify -1 into -1 3.085 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.085 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.085 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.085 * [taylor]: Taking taylor expansion of f in f 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.085 * [taylor]: Taking taylor expansion of n in f 3.085 * [backup-simplify]: Simplify n into n 3.085 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.085 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.085 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.085 * [taylor]: Taking taylor expansion of f in f 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (/ 1 1) into 1 3.086 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.086 * [taylor]: Taking taylor expansion of n in f 3.086 * [backup-simplify]: Simplify n into n 3.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.086 * [backup-simplify]: Simplify (+ 1 0) into 1 3.087 * [backup-simplify]: Simplify (+ 1 0) into 1 3.087 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [backup-simplify]: Simplify (* -1 1) into -1 3.088 * [taylor]: Taking taylor expansion of -1 in n 3.088 * [backup-simplify]: Simplify -1 into -1 3.088 * [backup-simplify]: Simplify -1 into -1 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.090 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.090 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.090 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.090 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.090 * [taylor]: Taking taylor expansion of 2 in n 3.090 * [backup-simplify]: Simplify 2 into 2 3.090 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.090 * [taylor]: Taking taylor expansion of n in n 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.093 * [backup-simplify]: Simplify (- 0) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.096 * [backup-simplify]: Simplify (- 0) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.098 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.098 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.098 * [taylor]: Taking taylor expansion of 2 in n 3.098 * [backup-simplify]: Simplify 2 into 2 3.098 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.098 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (* 1 1) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.103 * [backup-simplify]: Simplify (- 0) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.107 * [backup-simplify]: Simplify (+ 0 0) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.109 * [backup-simplify]: Simplify (- 0) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.112 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.112 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.112 * [taylor]: Taking taylor expansion of 2 in n 3.112 * [backup-simplify]: Simplify 2 into 2 3.112 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.112 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (* 1 1) into 1 3.113 * [backup-simplify]: Simplify (* 1 1) into 1 3.113 * [backup-simplify]: Simplify (/ 1 1) into 1 3.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (- 0) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify -1 into -1 3.123 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.123 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.123 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.123 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.123 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.123 * [taylor]: Taking taylor expansion of f in n 3.123 * [backup-simplify]: Simplify f into f 3.123 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.123 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.123 * [taylor]: Taking taylor expansion of n in n 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.124 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.124 * [taylor]: Taking taylor expansion of n in n 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.124 * [taylor]: Taking taylor expansion of f in n 3.124 * [backup-simplify]: Simplify f into f 3.124 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.125 * [backup-simplify]: Simplify (+ 0 1) into 1 3.125 * [backup-simplify]: Simplify (+ 1 0) into 1 3.125 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.126 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.126 * [taylor]: Taking taylor expansion of f in f 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.126 * [taylor]: Taking taylor expansion of n in f 3.126 * [backup-simplify]: Simplify n into n 3.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.126 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.126 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.126 * [taylor]: Taking taylor expansion of n in f 3.126 * [backup-simplify]: Simplify n into n 3.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.126 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.126 * [taylor]: Taking taylor expansion of f in f 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.127 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (- 1) into -1 3.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.128 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.129 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.129 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.129 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.129 * [taylor]: Taking taylor expansion of f in f 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.129 * [taylor]: Taking taylor expansion of n in f 3.129 * [backup-simplify]: Simplify n into n 3.129 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.129 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.129 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.129 * [taylor]: Taking taylor expansion of n in f 3.129 * [backup-simplify]: Simplify n into n 3.129 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.129 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.129 * [taylor]: Taking taylor expansion of f in f 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (/ 1 1) into 1 3.130 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (- 1) into -1 3.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.131 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.131 * [taylor]: Taking taylor expansion of -1 in n 3.131 * [backup-simplify]: Simplify -1 into -1 3.131 * [backup-simplify]: Simplify -1 into -1 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (- 0) into 0 3.133 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.133 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.133 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.133 * [taylor]: Taking taylor expansion of 2 in n 3.133 * [backup-simplify]: Simplify 2 into 2 3.133 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.133 * [taylor]: Taking taylor expansion of n in n 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 1 into 1 3.133 * [backup-simplify]: Simplify (/ 1 1) into 1 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (- 0) into 0 3.136 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.137 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.137 * [taylor]: Taking taylor expansion of 2 in n 3.137 * [backup-simplify]: Simplify 2 into 2 3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.137 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.137 * [taylor]: Taking taylor expansion of n in n 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (* 1 1) into 1 3.138 * [backup-simplify]: Simplify (/ 1 1) into 1 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.144 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.145 * [backup-simplify]: Simplify (- 0) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.146 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (- 0) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.148 * [taylor]: Taking taylor expansion of 2 in n 3.148 * [backup-simplify]: Simplify 2 into 2 3.148 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.148 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.148 * [taylor]: Taking taylor expansion of n in n 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (* 1 1) into 1 3.149 * [backup-simplify]: Simplify (* 1 1) into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.155 * [backup-simplify]: Simplify (- 0) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify -1 into -1 3.155 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 3.155 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.155 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.155 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.155 * [taylor]: Taking taylor expansion of -1 in n 3.155 * [backup-simplify]: Simplify -1 into -1 3.155 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.155 * [taylor]: Taking taylor expansion of (+ n f) in n 3.155 * [taylor]: Taking taylor expansion of n in n 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of f in n 3.155 * [backup-simplify]: Simplify f into f 3.155 * [taylor]: Taking taylor expansion of (- f n) in n 3.155 * [taylor]: Taking taylor expansion of f in n 3.155 * [backup-simplify]: Simplify f into f 3.155 * [taylor]: Taking taylor expansion of n in n 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (+ 0 f) into f 3.155 * [backup-simplify]: Simplify (- 0) into 0 3.155 * [backup-simplify]: Simplify (+ f 0) into f 3.156 * [backup-simplify]: Simplify (/ f f) into 1 3.156 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.156 * [taylor]: Taking taylor expansion of -1 in f 3.156 * [backup-simplify]: Simplify -1 into -1 3.156 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.156 * [taylor]: Taking taylor expansion of (+ n f) in f 3.156 * [taylor]: Taking taylor expansion of n in f 3.156 * [backup-simplify]: Simplify n into n 3.156 * [taylor]: Taking taylor expansion of f in f 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of (- f n) in f 3.156 * [taylor]: Taking taylor expansion of f in f 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of n in f 3.156 * [backup-simplify]: Simplify n into n 3.156 * [backup-simplify]: Simplify (+ n 0) into n 3.156 * [backup-simplify]: Simplify (- n) into (- n) 3.156 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.156 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.156 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.156 * [taylor]: Taking taylor expansion of -1 in f 3.156 * [backup-simplify]: Simplify -1 into -1 3.156 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.156 * [taylor]: Taking taylor expansion of (+ n f) in f 3.156 * [taylor]: Taking taylor expansion of n in f 3.156 * [backup-simplify]: Simplify n into n 3.156 * [taylor]: Taking taylor expansion of f in f 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of (- f n) in f 3.156 * [taylor]: Taking taylor expansion of f in f 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of n in f 3.156 * [backup-simplify]: Simplify n into n 3.156 * [backup-simplify]: Simplify (+ n 0) into n 3.156 * [backup-simplify]: Simplify (- n) into (- n) 3.156 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.156 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.157 * [backup-simplify]: Simplify (* -1 -1) into 1 3.157 * [taylor]: Taking taylor expansion of 1 in n 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (+ 0 1) into 1 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 1 0) into 1 3.158 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.158 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.158 * [taylor]: Taking taylor expansion of 2 in n 3.158 * [backup-simplify]: Simplify 2 into 2 3.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.158 * [taylor]: Taking taylor expansion of n in n 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (/ 1 1) into 1 3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.161 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.161 * [taylor]: Taking taylor expansion of 2 in n 3.161 * [backup-simplify]: Simplify 2 into 2 3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.161 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.161 * [taylor]: Taking taylor expansion of n in n 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (* 1 1) into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (- 0) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.166 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.167 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.167 * [taylor]: Taking taylor expansion of 2 in n 3.167 * [backup-simplify]: Simplify 2 into 2 3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.167 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.167 * [taylor]: Taking taylor expansion of n in n 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [backup-simplify]: Simplify (* 1 1) into 1 3.167 * [backup-simplify]: Simplify (* 1 1) into 1 3.167 * [backup-simplify]: Simplify (/ 1 1) into 1 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.173 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.173 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.173 * [taylor]: Taking taylor expansion of -1 in n 3.173 * [backup-simplify]: Simplify -1 into -1 3.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.173 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.173 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.173 * [taylor]: Taking taylor expansion of f in n 3.173 * [backup-simplify]: Simplify f into f 3.173 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.173 * [taylor]: Taking taylor expansion of n in n 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ 1 1) into 1 3.173 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.173 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.173 * [taylor]: Taking taylor expansion of f in n 3.173 * [backup-simplify]: Simplify f into f 3.173 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.173 * [taylor]: Taking taylor expansion of n in n 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (/ 1 1) into 1 3.174 * [backup-simplify]: Simplify (+ 0 1) into 1 3.174 * [backup-simplify]: Simplify (- 1) into -1 3.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.175 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.175 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.175 * [taylor]: Taking taylor expansion of -1 in f 3.175 * [backup-simplify]: Simplify -1 into -1 3.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.175 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.175 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.175 * [taylor]: Taking taylor expansion of f in f 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (/ 1 1) into 1 3.175 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.175 * [taylor]: Taking taylor expansion of n in f 3.175 * [backup-simplify]: Simplify n into n 3.175 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.175 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.175 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.176 * [taylor]: Taking taylor expansion of f in f 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 1 into 1 3.176 * [backup-simplify]: Simplify (/ 1 1) into 1 3.176 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.176 * [taylor]: Taking taylor expansion of n in f 3.176 * [backup-simplify]: Simplify n into n 3.176 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.177 * [backup-simplify]: Simplify (+ 1 0) into 1 3.177 * [backup-simplify]: Simplify (+ 1 0) into 1 3.177 * [backup-simplify]: Simplify (/ 1 1) into 1 3.177 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.177 * [taylor]: Taking taylor expansion of -1 in f 3.177 * [backup-simplify]: Simplify -1 into -1 3.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.178 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.178 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.178 * [taylor]: Taking taylor expansion of f in f 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.178 * [taylor]: Taking taylor expansion of n in f 3.178 * [backup-simplify]: Simplify n into n 3.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.178 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.178 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.178 * [taylor]: Taking taylor expansion of f in f 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.179 * [taylor]: Taking taylor expansion of n in f 3.179 * [backup-simplify]: Simplify n into n 3.179 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.179 * [backup-simplify]: Simplify (+ 1 0) into 1 3.180 * [backup-simplify]: Simplify (+ 1 0) into 1 3.180 * [backup-simplify]: Simplify (/ 1 1) into 1 3.181 * [backup-simplify]: Simplify (* -1 1) into -1 3.181 * [taylor]: Taking taylor expansion of -1 in n 3.181 * [backup-simplify]: Simplify -1 into -1 3.181 * [backup-simplify]: Simplify -1 into -1 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.183 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.183 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.183 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.183 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.183 * [taylor]: Taking taylor expansion of 2 in n 3.183 * [backup-simplify]: Simplify 2 into 2 3.183 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.183 * [taylor]: Taking taylor expansion of n in n 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.189 * [backup-simplify]: Simplify (- 0) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.191 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.191 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.191 * [taylor]: Taking taylor expansion of 2 in n 3.191 * [backup-simplify]: Simplify 2 into 2 3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.191 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.191 * [taylor]: Taking taylor expansion of n in n 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (* 1 1) into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.197 * [backup-simplify]: Simplify (- 0) into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.200 * [backup-simplify]: Simplify (- 0) into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.201 * [backup-simplify]: Simplify (+ 0 0) into 0 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.203 * [backup-simplify]: Simplify (- 0) into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.206 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.206 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.206 * [taylor]: Taking taylor expansion of 2 in n 3.206 * [backup-simplify]: Simplify 2 into 2 3.206 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.206 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.206 * [taylor]: Taking taylor expansion of n in n 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (* 1 1) into 1 3.207 * [backup-simplify]: Simplify (* 1 1) into 1 3.207 * [backup-simplify]: Simplify (/ 1 1) into 1 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (- 0) into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify -1 into -1 3.214 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.214 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.214 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.214 * [taylor]: Taking taylor expansion of f in n 3.214 * [backup-simplify]: Simplify f into f 3.214 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.214 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.214 * [taylor]: Taking taylor expansion of n in n 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.215 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.215 * [taylor]: Taking taylor expansion of n in n 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.215 * [taylor]: Taking taylor expansion of f in n 3.215 * [backup-simplify]: Simplify f into f 3.215 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.215 * [backup-simplify]: Simplify (+ 0 1) into 1 3.216 * [backup-simplify]: Simplify (+ 1 0) into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.216 * [taylor]: Taking taylor expansion of f in f 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.216 * [taylor]: Taking taylor expansion of n in f 3.216 * [backup-simplify]: Simplify n into n 3.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.216 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.216 * [taylor]: Taking taylor expansion of n in f 3.216 * [backup-simplify]: Simplify n into n 3.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.217 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.217 * [taylor]: Taking taylor expansion of f in f 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.217 * [backup-simplify]: Simplify (+ 1 0) into 1 3.217 * [backup-simplify]: Simplify (- 1) into -1 3.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.218 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.218 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.218 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.218 * [taylor]: Taking taylor expansion of f in f 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (/ 1 1) into 1 3.218 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.218 * [taylor]: Taking taylor expansion of n in f 3.218 * [backup-simplify]: Simplify n into n 3.218 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.218 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.218 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.218 * [taylor]: Taking taylor expansion of n in f 3.218 * [backup-simplify]: Simplify n into n 3.218 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.218 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.218 * [taylor]: Taking taylor expansion of f in f 3.218 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [backup-simplify]: Simplify (+ 1 0) into 1 3.219 * [backup-simplify]: Simplify (- 1) into -1 3.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.220 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.220 * [taylor]: Taking taylor expansion of -1 in n 3.220 * [backup-simplify]: Simplify -1 into -1 3.220 * [backup-simplify]: Simplify -1 into -1 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.221 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.221 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.221 * [taylor]: Taking taylor expansion of 2 in n 3.221 * [backup-simplify]: Simplify 2 into 2 3.221 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.221 * [taylor]: Taking taylor expansion of n in n 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.222 * [backup-simplify]: Simplify (/ 1 1) into 1 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.223 * [backup-simplify]: Simplify (- 0) into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.224 * [backup-simplify]: Simplify (+ 0 0) into 0 3.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.224 * [backup-simplify]: Simplify (- 0) into 0 3.225 * [backup-simplify]: Simplify (+ 0 0) into 0 3.225 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.225 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.225 * [taylor]: Taking taylor expansion of 2 in n 3.225 * [backup-simplify]: Simplify 2 into 2 3.225 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.225 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.225 * [taylor]: Taking taylor expansion of n in n 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 1 into 1 3.226 * [backup-simplify]: Simplify (* 1 1) into 1 3.226 * [backup-simplify]: Simplify (/ 1 1) into 1 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.229 * [backup-simplify]: Simplify (- 0) into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.230 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (- 0) into 0 3.232 * [backup-simplify]: Simplify (+ 0 0) into 0 3.233 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.233 * [taylor]: Taking taylor expansion of 2 in n 3.233 * [backup-simplify]: Simplify 2 into 2 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.233 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.233 * [taylor]: Taking taylor expansion of n in n 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.234 * [backup-simplify]: Simplify (* 1 1) into 1 3.234 * [backup-simplify]: Simplify (/ 1 1) into 1 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (- 0) into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify -1 into -1 3.239 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.239 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.239 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.239 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.239 * [taylor]: Taking taylor expansion of -1 in n 3.239 * [backup-simplify]: Simplify -1 into -1 3.239 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.239 * [taylor]: Taking taylor expansion of (+ n f) in n 3.239 * [taylor]: Taking taylor expansion of n in n 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of f in n 3.240 * [backup-simplify]: Simplify f into f 3.240 * [taylor]: Taking taylor expansion of (- f n) in n 3.240 * [taylor]: Taking taylor expansion of f in n 3.240 * [backup-simplify]: Simplify f into f 3.240 * [taylor]: Taking taylor expansion of n in n 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (+ 0 f) into f 3.240 * [backup-simplify]: Simplify (- 0) into 0 3.240 * [backup-simplify]: Simplify (+ f 0) into f 3.240 * [backup-simplify]: Simplify (/ f f) into 1 3.240 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.240 * [taylor]: Taking taylor expansion of -1 in f 3.240 * [backup-simplify]: Simplify -1 into -1 3.240 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.240 * [taylor]: Taking taylor expansion of (+ n f) in f 3.240 * [taylor]: Taking taylor expansion of n in f 3.240 * [backup-simplify]: Simplify n into n 3.240 * [taylor]: Taking taylor expansion of f in f 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of (- f n) in f 3.240 * [taylor]: Taking taylor expansion of f in f 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of n in f 3.240 * [backup-simplify]: Simplify n into n 3.240 * [backup-simplify]: Simplify (+ n 0) into n 3.240 * [backup-simplify]: Simplify (- n) into (- n) 3.240 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.240 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.240 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.240 * [taylor]: Taking taylor expansion of -1 in f 3.241 * [backup-simplify]: Simplify -1 into -1 3.241 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.241 * [taylor]: Taking taylor expansion of (+ n f) in f 3.241 * [taylor]: Taking taylor expansion of n in f 3.241 * [backup-simplify]: Simplify n into n 3.241 * [taylor]: Taking taylor expansion of f in f 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [taylor]: Taking taylor expansion of (- f n) in f 3.241 * [taylor]: Taking taylor expansion of f in f 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [taylor]: Taking taylor expansion of n in f 3.241 * [backup-simplify]: Simplify n into n 3.241 * [backup-simplify]: Simplify (+ n 0) into n 3.241 * [backup-simplify]: Simplify (- n) into (- n) 3.241 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.241 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.241 * [backup-simplify]: Simplify (* -1 -1) into 1 3.241 * [taylor]: Taking taylor expansion of 1 in n 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (+ 0 1) into 1 3.242 * [backup-simplify]: Simplify (- 0) into 0 3.242 * [backup-simplify]: Simplify (+ 1 0) into 1 3.242 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.243 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.243 * [taylor]: Taking taylor expansion of 2 in n 3.243 * [backup-simplify]: Simplify 2 into 2 3.243 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.243 * [taylor]: Taking taylor expansion of n in n 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [backup-simplify]: Simplify (- 0) into 0 3.249 * [backup-simplify]: Simplify (+ 0 0) into 0 3.249 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.249 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.249 * [taylor]: Taking taylor expansion of 2 in n 3.249 * [backup-simplify]: Simplify 2 into 2 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.249 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.249 * [taylor]: Taking taylor expansion of n in n 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [backup-simplify]: Simplify (- 0) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.255 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.255 * [taylor]: Taking taylor expansion of 2 in n 3.255 * [backup-simplify]: Simplify 2 into 2 3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.255 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.255 * [taylor]: Taking taylor expansion of n in n 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (* 1 1) into 1 3.256 * [backup-simplify]: Simplify (* 1 1) into 1 3.256 * [backup-simplify]: Simplify (/ 1 1) into 1 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.263 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.263 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.263 * [taylor]: Taking taylor expansion of -1 in n 3.263 * [backup-simplify]: Simplify -1 into -1 3.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.263 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.264 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.264 * [taylor]: Taking taylor expansion of f in n 3.264 * [backup-simplify]: Simplify f into f 3.264 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.264 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.264 * [taylor]: Taking taylor expansion of n in n 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (/ 1 1) into 1 3.264 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.264 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.264 * [taylor]: Taking taylor expansion of f in n 3.264 * [backup-simplify]: Simplify f into f 3.264 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.264 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.264 * [taylor]: Taking taylor expansion of n in n 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [backup-simplify]: Simplify (+ 0 1) into 1 3.266 * [backup-simplify]: Simplify (- 1) into -1 3.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.266 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.267 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.267 * [taylor]: Taking taylor expansion of -1 in f 3.267 * [backup-simplify]: Simplify -1 into -1 3.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.267 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.267 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.267 * [taylor]: Taking taylor expansion of f in f 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.267 * [taylor]: Taking taylor expansion of n in f 3.268 * [backup-simplify]: Simplify n into n 3.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.268 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.268 * [taylor]: Taking taylor expansion of f in f 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (/ 1 1) into 1 3.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.268 * [taylor]: Taking taylor expansion of n in f 3.268 * [backup-simplify]: Simplify n into n 3.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.269 * [backup-simplify]: Simplify (+ 1 0) into 1 3.269 * [backup-simplify]: Simplify (+ 1 0) into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.270 * [taylor]: Taking taylor expansion of -1 in f 3.270 * [backup-simplify]: Simplify -1 into -1 3.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.270 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.270 * [taylor]: Taking taylor expansion of f in f 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.270 * [taylor]: Taking taylor expansion of n in f 3.270 * [backup-simplify]: Simplify n into n 3.270 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.270 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.270 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.270 * [taylor]: Taking taylor expansion of f in f 3.270 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.271 * [taylor]: Taking taylor expansion of n in f 3.271 * [backup-simplify]: Simplify n into n 3.271 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.272 * [backup-simplify]: Simplify (+ 1 0) into 1 3.272 * [backup-simplify]: Simplify (+ 1 0) into 1 3.272 * [backup-simplify]: Simplify (/ 1 1) into 1 3.273 * [backup-simplify]: Simplify (* -1 1) into -1 3.273 * [taylor]: Taking taylor expansion of -1 in n 3.273 * [backup-simplify]: Simplify -1 into -1 3.273 * [backup-simplify]: Simplify -1 into -1 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.275 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.275 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.276 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.276 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.276 * [taylor]: Taking taylor expansion of 2 in n 3.276 * [backup-simplify]: Simplify 2 into 2 3.276 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.276 * [taylor]: Taking taylor expansion of n in n 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify (/ 1 1) into 1 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- 0) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.281 * [backup-simplify]: Simplify (- 0) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.283 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.283 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.283 * [taylor]: Taking taylor expansion of 2 in n 3.283 * [backup-simplify]: Simplify 2 into 2 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.283 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.283 * [taylor]: Taking taylor expansion of n in n 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (* 1 1) into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.286 * [backup-simplify]: Simplify (- 0) into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.288 * [backup-simplify]: Simplify (- 0) into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.289 * [backup-simplify]: Simplify (- 0) into 0 3.290 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.291 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.291 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.291 * [taylor]: Taking taylor expansion of 2 in n 3.291 * [backup-simplify]: Simplify 2 into 2 3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.291 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.291 * [taylor]: Taking taylor expansion of n in n 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (* 1 1) into 1 3.292 * [backup-simplify]: Simplify (* 1 1) into 1 3.292 * [backup-simplify]: Simplify (/ 1 1) into 1 3.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (- 0) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify -1 into -1 3.297 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.297 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.297 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.297 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.297 * [taylor]: Taking taylor expansion of f in n 3.297 * [backup-simplify]: Simplify f into f 3.297 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.297 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.298 * [taylor]: Taking taylor expansion of n in n 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (/ 1 1) into 1 3.298 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.298 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.298 * [taylor]: Taking taylor expansion of n in n 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (/ 1 1) into 1 3.298 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.298 * [taylor]: Taking taylor expansion of f in n 3.298 * [backup-simplify]: Simplify f into f 3.298 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.298 * [backup-simplify]: Simplify (+ 0 1) into 1 3.299 * [backup-simplify]: Simplify (+ 1 0) into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.299 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.299 * [taylor]: Taking taylor expansion of f in f 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.299 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.299 * [taylor]: Taking taylor expansion of n in f 3.299 * [backup-simplify]: Simplify n into n 3.299 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.299 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.299 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.299 * [taylor]: Taking taylor expansion of n in f 3.299 * [backup-simplify]: Simplify n into n 3.299 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.299 * [taylor]: Taking taylor expansion of f in f 3.299 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (/ 1 1) into 1 3.300 * [backup-simplify]: Simplify (+ 1 0) into 1 3.300 * [backup-simplify]: Simplify (- 1) into -1 3.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.301 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.301 * [taylor]: Taking taylor expansion of f in f 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (/ 1 1) into 1 3.301 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.301 * [taylor]: Taking taylor expansion of n in f 3.301 * [backup-simplify]: Simplify n into n 3.301 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.301 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.301 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.301 * [taylor]: Taking taylor expansion of n in f 3.301 * [backup-simplify]: Simplify n into n 3.301 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.301 * [taylor]: Taking taylor expansion of f in f 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (/ 1 1) into 1 3.302 * [backup-simplify]: Simplify (+ 1 0) into 1 3.302 * [backup-simplify]: Simplify (- 1) into -1 3.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.303 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.303 * [taylor]: Taking taylor expansion of -1 in n 3.303 * [backup-simplify]: Simplify -1 into -1 3.303 * [backup-simplify]: Simplify -1 into -1 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (- 0) into 0 3.304 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.304 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.304 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.304 * [taylor]: Taking taylor expansion of 2 in n 3.304 * [backup-simplify]: Simplify 2 into 2 3.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.304 * [taylor]: Taking taylor expansion of n in n 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [backup-simplify]: Simplify (/ 1 1) into 1 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.306 * [backup-simplify]: Simplify (+ 0 0) into 0 3.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- 0) into 0 3.307 * [backup-simplify]: Simplify (+ 0 0) into 0 3.308 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.308 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.308 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.308 * [taylor]: Taking taylor expansion of 2 in n 3.308 * [backup-simplify]: Simplify 2 into 2 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.308 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.308 * [taylor]: Taking taylor expansion of n in n 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.311 * [backup-simplify]: Simplify (- 0) into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.313 * [backup-simplify]: Simplify (- 0) into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (- 0) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.316 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.316 * [taylor]: Taking taylor expansion of 2 in n 3.316 * [backup-simplify]: Simplify 2 into 2 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.316 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.316 * [taylor]: Taking taylor expansion of n in n 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (* 1 1) into 1 3.316 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify -1 into -1 3.322 * * * [progress]: simplifying candidates 3.322 * * * * [progress]: [ 1 / 318 ] simplifiying candidate # 3.322 * * * * [progress]: [ 2 / 318 ] simplifiying candidate # 3.323 * * * * [progress]: [ 3 / 318 ] simplifiying candidate # 3.323 * * * * [progress]: [ 4 / 318 ] simplifiying candidate # 3.323 * * * * 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simplifiying candidate # 3.334 * * * * [progress]: [ 280 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 281 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 282 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 283 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 284 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 285 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 286 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 287 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 288 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 289 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 290 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 291 / 318 ] simplifiying candidate # 3.334 * * * * [progress]: [ 292 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 293 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 294 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 295 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 296 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 297 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 298 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 299 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 300 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 301 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 302 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 303 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 304 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 305 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 306 / 318 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))> 3.335 * * * * [progress]: [ 307 / 318 ] simplifiying candidate # 3.335 * * * * [progress]: [ 308 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 309 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 310 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 311 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 312 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 313 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 314 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 315 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 316 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 317 / 318 ] simplifiying candidate # 3.336 * * * * [progress]: [ 318 / 318 ] simplifiying candidate # 3.343 * [simplify]: Simplifying: (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)) (- (+ 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* * [simplify]: iteration 1: 383 enodes 3.520 * * [simplify]: iteration 2: 896 enodes 3.997 * * [simplify]: iteration 3: 3201 enodes 4.733 * * [simplify]: iteration complete: 5000 enodes 4.733 * * [simplify]: Extracting #0: cost 95 inf + 0 4.736 * * [simplify]: Extracting #1: cost 677 inf + 205 4.743 * * [simplify]: Extracting #2: cost 1275 inf + 819 4.768 * * [simplify]: Extracting #3: cost 1153 inf + 80177 4.856 * * [simplify]: Extracting #4: cost 494 inf + 270539 4.988 * * [simplify]: Extracting #5: cost 27 inf + 366881 5.083 * * [simplify]: Extracting #6: cost 1 inf + 375761 5.179 * * [simplify]: Extracting #7: cost 0 inf + 375973 5.286 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (- (+ n f)) (- f n) (cbrt (* (+ n f) (/ (- (+ n f)) (/ (- f n) (+ n f))))) (cbrt (* (- f n) (- f n))) (cbrt (* (+ n f) (/ (- (+ n f)) (/ (- f n) (+ n f))))) (cbrt (* (- f n) (- f 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(/ -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)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* f (* f f)) (* n (* n n)))) (- (/ 1 (- f n))) (* (+ (* n (- (- f n))) (* f f)) (- f n)) (* (- f n) (- f n)) (real->posit16 (/ (- (+ n f)) (- f n))) (- (cbrt -1)) (cbrt -1) -1 1 -1 -1 1 -1 -1 1 -1 -1 5.327 * * * [progress]: adding candidates to table 6.687 * * [progress]: iteration 3 / 4 6.687 * * * [progress]: picking best candidate 6.696 * * * * [pick]: Picked # 6.696 * * * [progress]: localizing error 6.742 * * * [progress]: generating rewritten candidates 6.742 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 6.781 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 6.811 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 6.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.862 * * * [progress]: generating series expansions 6.863 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 6.863 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.863 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.863 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.863 * [taylor]: Taking taylor expansion of -1 in n 6.863 * [backup-simplify]: Simplify -1 into -1 6.863 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.863 * [taylor]: Taking taylor expansion of (+ n f) in n 6.863 * [taylor]: Taking taylor expansion of n in n 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.863 * [taylor]: Taking taylor expansion of f in n 6.863 * [backup-simplify]: Simplify f into f 6.863 * [taylor]: Taking taylor expansion of (- f n) in n 6.863 * [taylor]: Taking taylor expansion of f in n 6.863 * [backup-simplify]: Simplify f into f 6.863 * [taylor]: Taking taylor expansion of n in n 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (+ 0 f) into f 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify (+ f 0) into f 6.864 * [backup-simplify]: Simplify (/ f f) into 1 6.864 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.864 * [taylor]: Taking taylor expansion of -1 in f 6.864 * [backup-simplify]: Simplify -1 into -1 6.864 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.864 * [taylor]: Taking taylor expansion of (+ n f) in f 6.864 * [taylor]: Taking taylor expansion of n in f 6.864 * [backup-simplify]: Simplify n into n 6.864 * [taylor]: Taking taylor expansion of f in f 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of (- f n) in f 6.865 * [taylor]: Taking taylor expansion of f in f 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of n in f 6.865 * [backup-simplify]: Simplify n into n 6.865 * [backup-simplify]: Simplify (+ n 0) into n 6.865 * [backup-simplify]: Simplify (- n) into (- n) 6.865 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.865 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.865 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.865 * [taylor]: Taking taylor expansion of -1 in f 6.865 * [backup-simplify]: Simplify -1 into -1 6.865 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.865 * [taylor]: Taking taylor expansion of (+ n f) in f 6.865 * [taylor]: Taking taylor expansion of n in f 6.865 * [backup-simplify]: Simplify n into n 6.865 * [taylor]: Taking taylor expansion of f in f 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of (- f n) in f 6.865 * [taylor]: Taking taylor expansion of f in f 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of n in f 6.865 * [backup-simplify]: Simplify n into n 6.865 * [backup-simplify]: Simplify (+ n 0) into n 6.865 * [backup-simplify]: Simplify (- n) into (- n) 6.865 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.866 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.866 * [backup-simplify]: Simplify (* -1 -1) into 1 6.866 * [taylor]: Taking taylor expansion of 1 in n 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (+ 0 1) into 1 6.867 * [backup-simplify]: Simplify (- 0) into 0 6.868 * [backup-simplify]: Simplify (+ 1 0) into 1 6.868 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.868 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.868 * [taylor]: Taking taylor expansion of 2 in n 6.868 * [backup-simplify]: Simplify 2 into 2 6.868 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.868 * [taylor]: Taking taylor expansion of n in n 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.869 * [backup-simplify]: Simplify (/ 1 1) into 1 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (+ 0 0) into 0 6.871 * [backup-simplify]: Simplify (- 0) into 0 6.872 * [backup-simplify]: Simplify (+ 0 0) into 0 6.872 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.873 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.873 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.873 * [taylor]: Taking taylor expansion of 2 in n 6.873 * [backup-simplify]: Simplify 2 into 2 6.873 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.873 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.873 * [taylor]: Taking taylor expansion of n in n 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.874 * [backup-simplify]: Simplify (* 1 1) into 1 6.874 * [backup-simplify]: Simplify (/ 1 1) into 1 6.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.878 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.880 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify (+ 0 0) into 0 6.881 * [backup-simplify]: Simplify (- 0) into 0 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.882 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.883 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.883 * [taylor]: Taking taylor expansion of 2 in n 6.883 * [backup-simplify]: Simplify 2 into 2 6.883 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.883 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.883 * [taylor]: Taking taylor expansion of n in n 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.884 * [backup-simplify]: Simplify (* 1 1) into 1 6.884 * [backup-simplify]: Simplify (* 1 1) into 1 6.885 * [backup-simplify]: Simplify (/ 1 1) into 1 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.895 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.895 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.895 * [taylor]: Taking taylor expansion of -1 in n 6.895 * [backup-simplify]: Simplify -1 into -1 6.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.895 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.895 * [taylor]: Taking taylor expansion of f in n 6.895 * [backup-simplify]: Simplify f into f 6.895 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.895 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.895 * [taylor]: Taking taylor expansion of n in n 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (/ 1 1) into 1 6.896 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.896 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.896 * [taylor]: Taking taylor expansion of f in n 6.896 * [backup-simplify]: Simplify f into f 6.896 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.896 * [taylor]: Taking taylor expansion of n in n 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (/ 1 1) into 1 6.897 * [backup-simplify]: Simplify (+ 0 1) into 1 6.897 * [backup-simplify]: Simplify (- 1) into -1 6.897 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.898 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.898 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.898 * [taylor]: Taking taylor expansion of -1 in f 6.898 * [backup-simplify]: Simplify -1 into -1 6.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.898 * [taylor]: Taking taylor expansion of f in f 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.899 * [backup-simplify]: Simplify (/ 1 1) into 1 6.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.899 * [taylor]: Taking taylor expansion of n in f 6.899 * [backup-simplify]: Simplify n into n 6.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.899 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.899 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.899 * [taylor]: Taking taylor expansion of f in f 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [backup-simplify]: Simplify (/ 1 1) into 1 6.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.899 * [taylor]: Taking taylor expansion of n in f 6.899 * [backup-simplify]: Simplify n into n 6.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.900 * [backup-simplify]: Simplify (+ 1 0) into 1 6.900 * [backup-simplify]: Simplify (+ 1 0) into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.901 * [taylor]: Taking taylor expansion of -1 in f 6.901 * [backup-simplify]: Simplify -1 into -1 6.901 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.901 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.901 * [taylor]: Taking taylor expansion of f in f 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.901 * [taylor]: Taking taylor expansion of n in f 6.901 * [backup-simplify]: Simplify n into n 6.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.902 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.902 * [taylor]: Taking taylor expansion of f in f 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (/ 1 1) into 1 6.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.902 * [taylor]: Taking taylor expansion of n in f 6.902 * [backup-simplify]: Simplify n into n 6.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.903 * [backup-simplify]: Simplify (+ 1 0) into 1 6.903 * [backup-simplify]: Simplify (+ 1 0) into 1 6.904 * [backup-simplify]: Simplify (/ 1 1) into 1 6.904 * [backup-simplify]: Simplify (* -1 1) into -1 6.904 * [taylor]: Taking taylor expansion of -1 in n 6.904 * [backup-simplify]: Simplify -1 into -1 6.904 * [backup-simplify]: Simplify -1 into -1 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.906 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.906 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.907 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.907 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.907 * [taylor]: Taking taylor expansion of 2 in n 6.907 * [backup-simplify]: Simplify 2 into 2 6.907 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.907 * [taylor]: Taking taylor expansion of n in n 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (/ 1 1) into 1 6.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.916 * [backup-simplify]: Simplify (- 0) into 0 6.916 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.919 * [backup-simplify]: Simplify (- 0) into 0 6.920 * [backup-simplify]: Simplify (+ 0 0) into 0 6.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.921 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.921 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.921 * [taylor]: Taking taylor expansion of 2 in n 6.921 * [backup-simplify]: Simplify 2 into 2 6.921 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.921 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.921 * [taylor]: Taking taylor expansion of n in n 6.921 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [backup-simplify]: Simplify (* 1 1) into 1 6.922 * [backup-simplify]: Simplify (/ 1 1) into 1 6.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.927 * [backup-simplify]: Simplify (- 0) into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.930 * [backup-simplify]: Simplify (- 0) into 0 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.931 * [backup-simplify]: Simplify (+ 0 0) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.933 * [backup-simplify]: Simplify (- 0) into 0 6.933 * [backup-simplify]: Simplify (+ 0 0) into 0 6.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.936 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.936 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.936 * [taylor]: Taking taylor expansion of 2 in n 6.936 * [backup-simplify]: Simplify 2 into 2 6.936 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.936 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.936 * [taylor]: Taking taylor expansion of n in n 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (* 1 1) into 1 6.937 * [backup-simplify]: Simplify (* 1 1) into 1 6.937 * [backup-simplify]: Simplify (/ 1 1) into 1 6.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.947 * [backup-simplify]: Simplify (- 0) into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify -1 into -1 6.947 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.947 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.947 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.947 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.947 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.947 * [taylor]: Taking taylor expansion of f in n 6.948 * [backup-simplify]: Simplify f into f 6.948 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.948 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.948 * [taylor]: Taking taylor expansion of n in n 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify 1 into 1 6.948 * [backup-simplify]: Simplify (/ 1 1) into 1 6.948 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.948 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.948 * [taylor]: Taking taylor expansion of n in n 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify 1 into 1 6.949 * [backup-simplify]: Simplify (/ 1 1) into 1 6.949 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.949 * [taylor]: Taking taylor expansion of f in n 6.949 * [backup-simplify]: Simplify f into f 6.949 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.949 * [backup-simplify]: Simplify (+ 0 1) into 1 6.950 * [backup-simplify]: Simplify (+ 1 0) into 1 6.950 * [backup-simplify]: Simplify (/ 1 1) into 1 6.950 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.950 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.950 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.950 * [taylor]: Taking taylor expansion of f in f 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (/ 1 1) into 1 6.951 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.951 * [taylor]: Taking taylor expansion of n in f 6.951 * [backup-simplify]: Simplify n into n 6.951 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.951 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.951 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.951 * [taylor]: Taking taylor expansion of n in f 6.951 * [backup-simplify]: Simplify n into n 6.951 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.951 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.951 * [taylor]: Taking taylor expansion of f in f 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (/ 1 1) into 1 6.952 * [backup-simplify]: Simplify (+ 1 0) into 1 6.952 * [backup-simplify]: Simplify (- 1) into -1 6.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.952 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.952 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.952 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.952 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.952 * [taylor]: Taking taylor expansion of f in f 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.953 * [taylor]: Taking taylor expansion of n in f 6.953 * [backup-simplify]: Simplify n into n 6.953 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.953 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.953 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.953 * [taylor]: Taking taylor expansion of n in f 6.953 * [backup-simplify]: Simplify n into n 6.953 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.953 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.953 * [taylor]: Taking taylor expansion of f in f 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [backup-simplify]: Simplify (+ 1 0) into 1 6.954 * [backup-simplify]: Simplify (- 1) into -1 6.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.954 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.954 * [taylor]: Taking taylor expansion of -1 in n 6.954 * [backup-simplify]: Simplify -1 into -1 6.954 * [backup-simplify]: Simplify -1 into -1 6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.955 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.956 * [backup-simplify]: Simplify (- 0) into 0 6.956 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.956 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.956 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.956 * [taylor]: Taking taylor expansion of 2 in n 6.956 * [backup-simplify]: Simplify 2 into 2 6.956 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.956 * [taylor]: Taking taylor expansion of n in n 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [backup-simplify]: Simplify (/ 1 1) into 1 6.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.958 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (- 0) into 0 6.959 * [backup-simplify]: Simplify (+ 0 0) into 0 6.960 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.960 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.960 * [taylor]: Taking taylor expansion of 2 in n 6.960 * [backup-simplify]: Simplify 2 into 2 6.960 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.960 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.960 * [taylor]: Taking taylor expansion of n in n 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [backup-simplify]: Simplify (* 1 1) into 1 6.961 * [backup-simplify]: Simplify (/ 1 1) into 1 6.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.963 * [backup-simplify]: Simplify (- 0) into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.965 * [backup-simplify]: Simplify (- 0) into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (- 0) into 0 6.967 * [backup-simplify]: Simplify (+ 0 0) into 0 6.968 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.968 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.968 * [taylor]: Taking taylor expansion of 2 in n 6.968 * [backup-simplify]: Simplify 2 into 2 6.968 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.968 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.968 * [taylor]: Taking taylor expansion of n in n 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify (* 1 1) into 1 6.969 * [backup-simplify]: Simplify (* 1 1) into 1 6.969 * [backup-simplify]: Simplify (/ 1 1) into 1 6.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.975 * [backup-simplify]: Simplify (- 0) into 0 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify -1 into -1 6.975 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 6.975 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.975 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.975 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.975 * [taylor]: Taking taylor expansion of -1 in n 6.975 * [backup-simplify]: Simplify -1 into -1 6.975 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.975 * [taylor]: Taking taylor expansion of (+ n f) in n 6.975 * [taylor]: Taking taylor expansion of n in n 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [taylor]: Taking taylor expansion of f in n 6.975 * [backup-simplify]: Simplify f into f 6.975 * [taylor]: Taking taylor expansion of (- f n) in n 6.975 * [taylor]: Taking taylor expansion of f in n 6.975 * [backup-simplify]: Simplify f into f 6.975 * [taylor]: Taking taylor expansion of n in n 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (+ 0 f) into f 6.976 * [backup-simplify]: Simplify (- 0) into 0 6.976 * [backup-simplify]: Simplify (+ f 0) into f 6.976 * [backup-simplify]: Simplify (/ f f) into 1 6.976 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.976 * [taylor]: Taking taylor expansion of -1 in f 6.976 * [backup-simplify]: Simplify -1 into -1 6.976 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.976 * [taylor]: Taking taylor expansion of (+ n f) in f 6.976 * [taylor]: Taking taylor expansion of n in f 6.976 * [backup-simplify]: Simplify n into n 6.976 * [taylor]: Taking taylor expansion of f in f 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.976 * [taylor]: Taking taylor expansion of (- f n) in f 6.976 * [taylor]: Taking taylor expansion of f in f 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.976 * [taylor]: Taking taylor expansion of n in f 6.976 * [backup-simplify]: Simplify n into n 6.976 * [backup-simplify]: Simplify (+ n 0) into n 6.976 * [backup-simplify]: Simplify (- n) into (- n) 6.976 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.976 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.976 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.976 * [taylor]: Taking taylor expansion of -1 in f 6.976 * [backup-simplify]: Simplify -1 into -1 6.976 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.976 * [taylor]: Taking taylor expansion of (+ n f) in f 6.976 * [taylor]: Taking taylor expansion of n in f 6.976 * [backup-simplify]: Simplify n into n 6.976 * [taylor]: Taking taylor expansion of f in f 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.976 * [taylor]: Taking taylor expansion of (- f n) in f 6.976 * [taylor]: Taking taylor expansion of f in f 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.976 * [taylor]: Taking taylor expansion of n in f 6.976 * [backup-simplify]: Simplify n into n 6.976 * [backup-simplify]: Simplify (+ n 0) into n 6.976 * [backup-simplify]: Simplify (- n) into (- n) 6.976 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.976 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.977 * [backup-simplify]: Simplify (* -1 -1) into 1 6.977 * [taylor]: Taking taylor expansion of 1 in n 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (+ 0 1) into 1 6.977 * [backup-simplify]: Simplify (- 0) into 0 6.978 * [backup-simplify]: Simplify (+ 1 0) into 1 6.978 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.978 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.978 * [taylor]: Taking taylor expansion of 2 in n 6.978 * [backup-simplify]: Simplify 2 into 2 6.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.978 * [taylor]: Taking taylor expansion of n in n 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (/ 1 1) into 1 6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.979 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify (+ 0 0) into 0 6.980 * [backup-simplify]: Simplify (- 0) into 0 6.980 * [backup-simplify]: Simplify (+ 0 0) into 0 6.980 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.981 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.981 * [taylor]: Taking taylor expansion of 2 in n 6.981 * [backup-simplify]: Simplify 2 into 2 6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.981 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.981 * [taylor]: Taking taylor expansion of n in n 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 1 into 1 6.981 * [backup-simplify]: Simplify (* 1 1) into 1 6.981 * [backup-simplify]: Simplify (/ 1 1) into 1 6.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.984 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify (+ 0 0) into 0 6.987 * [backup-simplify]: Simplify (- 0) into 0 6.988 * [backup-simplify]: Simplify (+ 0 0) into 0 6.988 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.989 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.989 * [taylor]: Taking taylor expansion of 2 in n 6.989 * [backup-simplify]: Simplify 2 into 2 6.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.989 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.989 * [taylor]: Taking taylor expansion of n in n 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.990 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (/ 1 1) into 1 6.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.000 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.000 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.000 * [taylor]: Taking taylor expansion of -1 in n 7.000 * [backup-simplify]: Simplify -1 into -1 7.000 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.000 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.000 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.000 * [taylor]: Taking taylor expansion of f in n 7.000 * [backup-simplify]: Simplify f into f 7.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.001 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.001 * [taylor]: Taking taylor expansion of n in n 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (/ 1 1) into 1 7.001 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.001 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.001 * [taylor]: Taking taylor expansion of f in n 7.001 * [backup-simplify]: Simplify f into f 7.001 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.001 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.001 * [taylor]: Taking taylor expansion of n in n 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.002 * [backup-simplify]: Simplify (/ 1 1) into 1 7.002 * [backup-simplify]: Simplify (+ 0 1) into 1 7.003 * [backup-simplify]: Simplify (- 1) into -1 7.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.004 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.004 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.004 * [taylor]: Taking taylor expansion of -1 in f 7.004 * [backup-simplify]: Simplify -1 into -1 7.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.004 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.004 * [taylor]: Taking taylor expansion of f in f 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (/ 1 1) into 1 7.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.004 * [taylor]: Taking taylor expansion of n in f 7.004 * [backup-simplify]: Simplify n into n 7.004 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.004 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.004 * [taylor]: Taking taylor expansion of f in f 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.005 * [taylor]: Taking taylor expansion of n in f 7.005 * [backup-simplify]: Simplify n into n 7.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.006 * [backup-simplify]: Simplify (+ 1 0) into 1 7.006 * [backup-simplify]: Simplify (+ 1 0) into 1 7.006 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.006 * [taylor]: Taking taylor expansion of -1 in f 7.007 * [backup-simplify]: Simplify -1 into -1 7.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.007 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.007 * [taylor]: Taking taylor expansion of f in f 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify 1 into 1 7.007 * [backup-simplify]: Simplify (/ 1 1) into 1 7.007 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.007 * [taylor]: Taking taylor expansion of n in f 7.007 * [backup-simplify]: Simplify n into n 7.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.007 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.007 * [taylor]: Taking taylor expansion of f in f 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify 1 into 1 7.008 * [backup-simplify]: Simplify (/ 1 1) into 1 7.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.008 * [taylor]: Taking taylor expansion of n in f 7.008 * [backup-simplify]: Simplify n into n 7.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.008 * [backup-simplify]: Simplify (+ 1 0) into 1 7.009 * [backup-simplify]: Simplify (+ 1 0) into 1 7.009 * [backup-simplify]: Simplify (/ 1 1) into 1 7.010 * [backup-simplify]: Simplify (* -1 1) into -1 7.010 * [taylor]: Taking taylor expansion of -1 in n 7.010 * [backup-simplify]: Simplify -1 into -1 7.010 * [backup-simplify]: Simplify -1 into -1 7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.012 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.012 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.013 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.013 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.013 * [taylor]: Taking taylor expansion of 2 in n 7.013 * [backup-simplify]: Simplify 2 into 2 7.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.013 * [taylor]: Taking taylor expansion of n in n 7.013 * [backup-simplify]: Simplify 0 into 0 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [backup-simplify]: Simplify (/ 1 1) into 1 7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.015 * [backup-simplify]: Simplify (- 0) into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.019 * [backup-simplify]: Simplify (- 0) into 0 7.019 * [backup-simplify]: Simplify (+ 0 0) into 0 7.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.021 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.021 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.021 * [taylor]: Taking taylor expansion of 2 in n 7.021 * [backup-simplify]: Simplify 2 into 2 7.021 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.021 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.021 * [taylor]: Taking taylor expansion of n in n 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (* 1 1) into 1 7.022 * [backup-simplify]: Simplify (/ 1 1) into 1 7.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.027 * [backup-simplify]: Simplify (- 0) into 0 7.027 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.029 * [backup-simplify]: Simplify (- 0) into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.031 * [backup-simplify]: Simplify (+ 0 0) into 0 7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.032 * [backup-simplify]: Simplify (- 0) into 0 7.032 * [backup-simplify]: Simplify (+ 0 0) into 0 7.033 * [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))) 7.033 * [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)))) 7.033 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.033 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.033 * [taylor]: Taking taylor expansion of 2 in n 7.033 * [backup-simplify]: Simplify 2 into 2 7.033 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.033 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.033 * [taylor]: Taking taylor expansion of n in n 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.034 * [backup-simplify]: Simplify (* 1 1) into 1 7.034 * [backup-simplify]: Simplify (* 1 1) into 1 7.034 * [backup-simplify]: Simplify (/ 1 1) into 1 7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (- 0) into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify -1 into -1 7.043 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.043 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.043 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.043 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.043 * [taylor]: Taking taylor expansion of f in n 7.043 * [backup-simplify]: Simplify f into f 7.043 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.043 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.043 * [taylor]: Taking taylor expansion of n in n 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify (/ 1 1) into 1 7.044 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.044 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.044 * [taylor]: Taking taylor expansion of n in n 7.044 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (/ 1 1) into 1 7.044 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.044 * [taylor]: Taking taylor expansion of f in n 7.044 * [backup-simplify]: Simplify f into f 7.044 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.044 * [backup-simplify]: Simplify (+ 0 1) into 1 7.044 * [backup-simplify]: Simplify (+ 1 0) into 1 7.045 * [backup-simplify]: Simplify (/ 1 1) into 1 7.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.045 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.045 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.045 * [taylor]: Taking taylor expansion of f in f 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [backup-simplify]: Simplify (/ 1 1) into 1 7.045 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.045 * [taylor]: Taking taylor expansion of n in f 7.045 * [backup-simplify]: Simplify n into n 7.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.045 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.045 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.045 * [taylor]: Taking taylor expansion of n in f 7.045 * [backup-simplify]: Simplify n into n 7.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.045 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.045 * [taylor]: Taking taylor expansion of f in f 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.046 * [backup-simplify]: Simplify (/ 1 1) into 1 7.046 * [backup-simplify]: Simplify (+ 1 0) into 1 7.046 * [backup-simplify]: Simplify (- 1) into -1 7.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.047 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.047 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.047 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.047 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.047 * [taylor]: Taking taylor expansion of f in f 7.047 * [backup-simplify]: Simplify 0 into 0 7.047 * [backup-simplify]: Simplify 1 into 1 7.047 * [backup-simplify]: Simplify (/ 1 1) into 1 7.047 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.047 * [taylor]: Taking taylor expansion of n in f 7.047 * [backup-simplify]: Simplify n into n 7.047 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.047 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.047 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.047 * [taylor]: Taking taylor expansion of n in f 7.047 * [backup-simplify]: Simplify n into n 7.047 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.047 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.047 * [taylor]: Taking taylor expansion of f in f 7.047 * [backup-simplify]: Simplify 0 into 0 7.047 * [backup-simplify]: Simplify 1 into 1 7.047 * [backup-simplify]: Simplify (/ 1 1) into 1 7.048 * [backup-simplify]: Simplify (+ 1 0) into 1 7.048 * [backup-simplify]: Simplify (- 1) into -1 7.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.048 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.048 * [taylor]: Taking taylor expansion of -1 in n 7.049 * [backup-simplify]: Simplify -1 into -1 7.049 * [backup-simplify]: Simplify -1 into -1 7.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.049 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (- 0) into 0 7.050 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.050 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.050 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.050 * [taylor]: Taking taylor expansion of 2 in n 7.050 * [backup-simplify]: Simplify 2 into 2 7.050 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.050 * [taylor]: Taking taylor expansion of n in n 7.050 * [backup-simplify]: Simplify 0 into 0 7.050 * [backup-simplify]: Simplify 1 into 1 7.050 * [backup-simplify]: Simplify (/ 1 1) into 1 7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.051 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.052 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.053 * [backup-simplify]: Simplify (- 0) into 0 7.053 * [backup-simplify]: Simplify (+ 0 0) into 0 7.054 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.054 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.054 * [taylor]: Taking taylor expansion of 2 in n 7.054 * [backup-simplify]: Simplify 2 into 2 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.054 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.054 * [taylor]: Taking taylor expansion of n in n 7.054 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [backup-simplify]: Simplify (* 1 1) into 1 7.055 * [backup-simplify]: Simplify (/ 1 1) into 1 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.058 * [backup-simplify]: Simplify (- 0) into 0 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.059 * [backup-simplify]: Simplify (- 0) into 0 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.061 * [backup-simplify]: Simplify (+ 0 0) into 0 7.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.062 * [backup-simplify]: Simplify (- 0) into 0 7.063 * [backup-simplify]: Simplify (+ 0 0) into 0 7.064 * [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)))) 7.064 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.064 * [taylor]: Taking taylor expansion of 2 in n 7.064 * [backup-simplify]: Simplify 2 into 2 7.064 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.064 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.064 * [taylor]: Taking taylor expansion of n in n 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (* 1 1) into 1 7.065 * [backup-simplify]: Simplify (* 1 1) into 1 7.066 * [backup-simplify]: Simplify (/ 1 1) into 1 7.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.075 * [backup-simplify]: Simplify (- 0) into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify -1 into -1 7.076 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 7.076 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.076 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.076 * [taylor]: Taking taylor expansion of -1 in n 7.076 * [backup-simplify]: Simplify -1 into -1 7.076 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.076 * [taylor]: Taking taylor expansion of (+ n f) in n 7.076 * [taylor]: Taking taylor expansion of n in n 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [taylor]: Taking taylor expansion of f in n 7.076 * [backup-simplify]: Simplify f into f 7.076 * [taylor]: Taking taylor expansion of (- f n) in n 7.076 * [taylor]: Taking taylor expansion of f in n 7.076 * [backup-simplify]: Simplify f into f 7.076 * [taylor]: Taking taylor expansion of n in n 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (+ 0 f) into f 7.077 * [backup-simplify]: Simplify (- 0) into 0 7.077 * [backup-simplify]: Simplify (+ f 0) into f 7.077 * [backup-simplify]: Simplify (/ f f) into 1 7.077 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.077 * [taylor]: Taking taylor expansion of -1 in f 7.077 * [backup-simplify]: Simplify -1 into -1 7.077 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.077 * [taylor]: Taking taylor expansion of (+ n f) in f 7.077 * [taylor]: Taking taylor expansion of n in f 7.077 * [backup-simplify]: Simplify n into n 7.077 * [taylor]: Taking taylor expansion of f in f 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [taylor]: Taking taylor expansion of (- f n) in f 7.077 * [taylor]: Taking taylor expansion of f in f 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [taylor]: Taking taylor expansion of n in f 7.077 * [backup-simplify]: Simplify n into n 7.077 * [backup-simplify]: Simplify (+ n 0) into n 7.077 * [backup-simplify]: Simplify (- n) into (- n) 7.077 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.077 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.077 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.077 * [taylor]: Taking taylor expansion of -1 in f 7.077 * [backup-simplify]: Simplify -1 into -1 7.077 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.077 * [taylor]: Taking taylor expansion of (+ n f) in f 7.077 * [taylor]: Taking taylor expansion of n in f 7.077 * [backup-simplify]: Simplify n into n 7.077 * [taylor]: Taking taylor expansion of f in f 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [taylor]: Taking taylor expansion of (- f n) in f 7.077 * [taylor]: Taking taylor expansion of f in f 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [taylor]: Taking taylor expansion of n in f 7.078 * [backup-simplify]: Simplify n into n 7.078 * [backup-simplify]: Simplify (+ n 0) into n 7.078 * [backup-simplify]: Simplify (- n) into (- n) 7.078 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.078 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.078 * [backup-simplify]: Simplify (* -1 -1) into 1 7.078 * [taylor]: Taking taylor expansion of 1 in n 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify 1 into 1 7.079 * [backup-simplify]: Simplify (+ 0 1) into 1 7.079 * [backup-simplify]: Simplify (- 0) into 0 7.080 * [backup-simplify]: Simplify (+ 1 0) into 1 7.080 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.080 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.081 * [taylor]: Taking taylor expansion of 2 in n 7.081 * [backup-simplify]: Simplify 2 into 2 7.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.081 * [taylor]: Taking taylor expansion of n in n 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 1 into 1 7.081 * [backup-simplify]: Simplify (/ 1 1) into 1 7.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify (+ 0 0) into 0 7.083 * [backup-simplify]: Simplify (- 0) into 0 7.084 * [backup-simplify]: Simplify (+ 0 0) into 0 7.084 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.085 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.085 * [taylor]: Taking taylor expansion of 2 in n 7.085 * [backup-simplify]: Simplify 2 into 2 7.085 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.085 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.085 * [taylor]: Taking taylor expansion of n in n 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (* 1 1) into 1 7.086 * [backup-simplify]: Simplify (/ 1 1) into 1 7.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.090 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify (+ 0 0) into 0 7.093 * [backup-simplify]: Simplify (- 0) into 0 7.093 * [backup-simplify]: Simplify (+ 0 0) into 0 7.094 * [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)))) 7.095 * [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))) 7.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.095 * [taylor]: Taking taylor expansion of 2 in n 7.095 * [backup-simplify]: Simplify 2 into 2 7.095 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.095 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.095 * [taylor]: Taking taylor expansion of n in n 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [backup-simplify]: Simplify (* 1 1) into 1 7.096 * [backup-simplify]: Simplify (* 1 1) into 1 7.096 * [backup-simplify]: Simplify (/ 1 1) into 1 7.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.105 * [backup-simplify]: Simplify 0 into 0 7.105 * [backup-simplify]: Simplify 1 into 1 7.105 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.105 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.105 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.105 * [taylor]: Taking taylor expansion of -1 in n 7.105 * [backup-simplify]: Simplify -1 into -1 7.105 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.105 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.105 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.106 * [taylor]: Taking taylor expansion of f in n 7.106 * [backup-simplify]: Simplify f into f 7.106 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.106 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.106 * [taylor]: Taking taylor expansion of n in n 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify 1 into 1 7.106 * [backup-simplify]: Simplify (/ 1 1) into 1 7.106 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.106 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.106 * [taylor]: Taking taylor expansion of f in n 7.106 * [backup-simplify]: Simplify f into f 7.106 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.106 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.106 * [taylor]: Taking taylor expansion of n in n 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify 1 into 1 7.107 * [backup-simplify]: Simplify (/ 1 1) into 1 7.107 * [backup-simplify]: Simplify (+ 0 1) into 1 7.107 * [backup-simplify]: Simplify (- 1) into -1 7.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.108 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.108 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.108 * [taylor]: Taking taylor expansion of -1 in f 7.108 * [backup-simplify]: Simplify -1 into -1 7.108 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.108 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.108 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.108 * [taylor]: Taking taylor expansion of f in f 7.108 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (/ 1 1) into 1 7.109 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.109 * [taylor]: Taking taylor expansion of n in f 7.109 * [backup-simplify]: Simplify n into n 7.109 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.109 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.109 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.109 * [taylor]: Taking taylor expansion of f in f 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (/ 1 1) into 1 7.110 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.110 * [taylor]: Taking taylor expansion of n in f 7.110 * [backup-simplify]: Simplify n into n 7.110 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.110 * [backup-simplify]: Simplify (+ 1 0) into 1 7.110 * [backup-simplify]: Simplify (+ 1 0) into 1 7.111 * [backup-simplify]: Simplify (/ 1 1) into 1 7.111 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.111 * [taylor]: Taking taylor expansion of -1 in f 7.111 * [backup-simplify]: Simplify -1 into -1 7.111 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.111 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.111 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.111 * [taylor]: Taking taylor expansion of f in f 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [backup-simplify]: Simplify (/ 1 1) into 1 7.111 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.111 * [taylor]: Taking taylor expansion of n in f 7.111 * [backup-simplify]: Simplify n into n 7.112 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.112 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.112 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.112 * [taylor]: Taking taylor expansion of f in f 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ 1 1) into 1 7.112 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.112 * [taylor]: Taking taylor expansion of n in f 7.112 * [backup-simplify]: Simplify n into n 7.112 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.113 * [backup-simplify]: Simplify (+ 1 0) into 1 7.113 * [backup-simplify]: Simplify (+ 1 0) into 1 7.113 * [backup-simplify]: Simplify (/ 1 1) into 1 7.114 * [backup-simplify]: Simplify (* -1 1) into -1 7.114 * [taylor]: Taking taylor expansion of -1 in n 7.114 * [backup-simplify]: Simplify -1 into -1 7.114 * [backup-simplify]: Simplify -1 into -1 7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.115 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.116 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.116 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.116 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.116 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.117 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.117 * [taylor]: Taking taylor expansion of 2 in n 7.117 * [backup-simplify]: Simplify 2 into 2 7.117 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.117 * [taylor]: Taking taylor expansion of n in n 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [backup-simplify]: Simplify (/ 1 1) into 1 7.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.119 * [backup-simplify]: Simplify (- 0) into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.120 * [backup-simplify]: Simplify (+ 0 0) into 0 7.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.122 * [backup-simplify]: Simplify (- 0) into 0 7.122 * [backup-simplify]: Simplify (+ 0 0) into 0 7.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.123 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.123 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.123 * [taylor]: Taking taylor expansion of 2 in n 7.124 * [backup-simplify]: Simplify 2 into 2 7.124 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.124 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.124 * [taylor]: Taking taylor expansion of n in n 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [backup-simplify]: Simplify (* 1 1) into 1 7.124 * [backup-simplify]: Simplify (/ 1 1) into 1 7.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.127 * [backup-simplify]: Simplify (- 0) into 0 7.127 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.128 * [backup-simplify]: Simplify (- 0) into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.129 * [backup-simplify]: Simplify (+ 0 0) into 0 7.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.130 * [backup-simplify]: Simplify (- 0) into 0 7.130 * [backup-simplify]: Simplify (+ 0 0) into 0 7.131 * [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))) 7.132 * [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)))) 7.132 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.132 * [taylor]: Taking taylor expansion of 2 in n 7.132 * [backup-simplify]: Simplify 2 into 2 7.132 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.132 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.132 * [taylor]: Taking taylor expansion of n in n 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (* 1 1) into 1 7.132 * [backup-simplify]: Simplify (* 1 1) into 1 7.133 * [backup-simplify]: Simplify (/ 1 1) into 1 7.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.138 * [backup-simplify]: Simplify (- 0) into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify -1 into -1 7.138 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.138 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.138 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.138 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.138 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.138 * [taylor]: Taking taylor expansion of f in n 7.139 * [backup-simplify]: Simplify f into f 7.139 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.139 * [taylor]: Taking taylor expansion of n in n 7.139 * [backup-simplify]: Simplify 0 into 0 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [backup-simplify]: Simplify (/ 1 1) into 1 7.139 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.139 * [taylor]: Taking taylor expansion of n in n 7.139 * [backup-simplify]: Simplify 0 into 0 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [backup-simplify]: Simplify (/ 1 1) into 1 7.139 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.139 * [taylor]: Taking taylor expansion of f in n 7.139 * [backup-simplify]: Simplify f into f 7.139 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.140 * [backup-simplify]: Simplify (+ 0 1) into 1 7.140 * [backup-simplify]: Simplify (+ 1 0) into 1 7.140 * [backup-simplify]: Simplify (/ 1 1) into 1 7.140 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.140 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.140 * [taylor]: Taking taylor expansion of f in f 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify (/ 1 1) into 1 7.140 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.140 * [taylor]: Taking taylor expansion of n in f 7.140 * [backup-simplify]: Simplify n into n 7.141 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.141 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.141 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.141 * [taylor]: Taking taylor expansion of n in f 7.141 * [backup-simplify]: Simplify n into n 7.141 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.141 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.141 * [taylor]: Taking taylor expansion of f in f 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.141 * [backup-simplify]: Simplify (+ 1 0) into 1 7.141 * [backup-simplify]: Simplify (- 1) into -1 7.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.142 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.142 * [taylor]: Taking taylor expansion of f in f 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (/ 1 1) into 1 7.142 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.142 * [taylor]: Taking taylor expansion of n in f 7.142 * [backup-simplify]: Simplify n into n 7.142 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.142 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.142 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.142 * [taylor]: Taking taylor expansion of n in f 7.142 * [backup-simplify]: Simplify n into n 7.143 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.143 * [taylor]: Taking taylor expansion of f in f 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (/ 1 1) into 1 7.143 * [backup-simplify]: Simplify (+ 1 0) into 1 7.143 * [backup-simplify]: Simplify (- 1) into -1 7.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.144 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.144 * [taylor]: Taking taylor expansion of -1 in n 7.144 * [backup-simplify]: Simplify -1 into -1 7.144 * [backup-simplify]: Simplify -1 into -1 7.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify (- 0) into 0 7.145 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.145 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.145 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.145 * [taylor]: Taking taylor expansion of 2 in n 7.145 * [backup-simplify]: Simplify 2 into 2 7.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.145 * [taylor]: Taking taylor expansion of n in n 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 1 into 1 7.146 * [backup-simplify]: Simplify (/ 1 1) into 1 7.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.147 * [backup-simplify]: Simplify (- 0) into 0 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.148 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.149 * [backup-simplify]: Simplify (- 0) into 0 7.149 * [backup-simplify]: Simplify (+ 0 0) into 0 7.150 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.150 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.150 * [taylor]: Taking taylor expansion of 2 in n 7.150 * [backup-simplify]: Simplify 2 into 2 7.150 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.150 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.150 * [taylor]: Taking taylor expansion of n in n 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 1 into 1 7.150 * [backup-simplify]: Simplify (* 1 1) into 1 7.155 * [backup-simplify]: Simplify (/ 1 1) into 1 7.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.159 * [backup-simplify]: Simplify (- 0) into 0 7.159 * [backup-simplify]: Simplify 0 into 0 7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.160 * [backup-simplify]: Simplify (- 0) into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.161 * [backup-simplify]: Simplify (+ 0 0) into 0 7.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.162 * [backup-simplify]: Simplify (- 0) into 0 7.162 * [backup-simplify]: Simplify (+ 0 0) into 0 7.163 * [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)))) 7.163 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.163 * [taylor]: Taking taylor expansion of 2 in n 7.163 * [backup-simplify]: Simplify 2 into 2 7.163 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.163 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.163 * [taylor]: Taking taylor expansion of n in n 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (* 1 1) into 1 7.164 * [backup-simplify]: Simplify (* 1 1) into 1 7.164 * [backup-simplify]: Simplify (/ 1 1) into 1 7.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (- 0) into 0 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify -1 into -1 7.169 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.170 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) 7.170 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0 7.170 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n 7.170 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 7.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 7.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 7.170 * [taylor]: Taking taylor expansion of 1/3 in n 7.170 * [backup-simplify]: Simplify 1/3 into 1/3 7.170 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 7.170 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.170 * [taylor]: Taking taylor expansion of (+ n f) in n 7.170 * [taylor]: Taking taylor expansion of n in n 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [taylor]: Taking taylor expansion of f in n 7.170 * [backup-simplify]: Simplify f into f 7.170 * [taylor]: Taking taylor expansion of (- f n) in n 7.170 * [taylor]: Taking taylor expansion of f in n 7.170 * [backup-simplify]: Simplify f into f 7.170 * [taylor]: Taking taylor expansion of n in n 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [backup-simplify]: Simplify (+ 0 f) into f 7.170 * [backup-simplify]: Simplify (- 0) into 0 7.170 * [backup-simplify]: Simplify (+ f 0) into f 7.171 * [backup-simplify]: Simplify (/ f f) into 1 7.171 * [backup-simplify]: Simplify (log 1) into 0 7.171 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.172 * [backup-simplify]: Simplify (+ 1 0) into 1 7.172 * [backup-simplify]: Simplify (- 1) into -1 7.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.172 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 7.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 7.173 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 7.173 * [backup-simplify]: Simplify (exp 0) into 1 7.173 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.173 * [taylor]: Taking taylor expansion of -1 in n 7.173 * [backup-simplify]: Simplify -1 into -1 7.173 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.174 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.174 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 7.174 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 7.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 7.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 7.174 * [taylor]: Taking taylor expansion of 1/3 in f 7.174 * [backup-simplify]: Simplify 1/3 into 1/3 7.174 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 7.174 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.174 * [taylor]: Taking taylor expansion of (+ n f) in f 7.174 * [taylor]: Taking taylor expansion of n in f 7.174 * [backup-simplify]: Simplify n into n 7.174 * [taylor]: Taking taylor expansion of f in f 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.174 * [taylor]: Taking taylor expansion of (- f n) in f 7.174 * [taylor]: Taking taylor expansion of f in f 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.174 * [taylor]: Taking taylor expansion of n in f 7.174 * [backup-simplify]: Simplify n into n 7.174 * [backup-simplify]: Simplify (+ n 0) into n 7.174 * [backup-simplify]: Simplify (- n) into (- n) 7.174 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.174 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.174 * [backup-simplify]: Simplify (log -1) into (log -1) 7.175 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.176 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.176 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.176 * [taylor]: Taking taylor expansion of -1 in f 7.176 * [backup-simplify]: Simplify -1 into -1 7.176 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.177 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.177 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 7.177 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 7.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 7.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 7.177 * [taylor]: Taking taylor expansion of 1/3 in f 7.177 * [backup-simplify]: Simplify 1/3 into 1/3 7.177 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 7.177 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.177 * [taylor]: Taking taylor expansion of (+ n f) in f 7.177 * [taylor]: Taking taylor expansion of n in f 7.177 * [backup-simplify]: Simplify n into n 7.177 * [taylor]: Taking taylor expansion of f in f 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [taylor]: Taking taylor expansion of (- f n) in f 7.177 * [taylor]: Taking taylor expansion of f in f 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [taylor]: Taking taylor expansion of n in f 7.177 * [backup-simplify]: Simplify n into n 7.177 * [backup-simplify]: Simplify (+ n 0) into n 7.177 * [backup-simplify]: Simplify (- n) into (- n) 7.177 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.177 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.177 * [backup-simplify]: Simplify (log -1) into (log -1) 7.178 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.179 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.179 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.179 * [taylor]: Taking taylor expansion of -1 in f 7.179 * [backup-simplify]: Simplify -1 into -1 7.179 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.180 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.181 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 7.181 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n 7.181 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.181 * [taylor]: Taking taylor expansion of -1 in n 7.181 * [backup-simplify]: Simplify -1 into -1 7.181 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.182 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.182 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.182 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.182 * [taylor]: Taking taylor expansion of 1/3 in n 7.182 * [backup-simplify]: Simplify 1/3 into 1/3 7.182 * [taylor]: Taking taylor expansion of (log -1) in n 7.182 * [taylor]: Taking taylor expansion of -1 in n 7.182 * [backup-simplify]: Simplify -1 into -1 7.182 * [backup-simplify]: Simplify (log -1) into (log -1) 7.183 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.184 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.184 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.185 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.186 * [backup-simplify]: Simplify (+ 0 1) into 1 7.186 * [backup-simplify]: Simplify (- 0) into 0 7.187 * [backup-simplify]: Simplify (+ 1 0) into 1 7.187 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 7.187 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 7.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 7.190 * [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))) 7.190 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n 7.190 * [taylor]: Taking taylor expansion of 2/3 in n 7.190 * [backup-simplify]: Simplify 2/3 into 2/3 7.190 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n 7.190 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 7.190 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.190 * [taylor]: Taking taylor expansion of -1 in n 7.190 * [backup-simplify]: Simplify -1 into -1 7.190 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.190 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.190 * [taylor]: Taking taylor expansion of n in n 7.190 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify 1 into 1 7.191 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.191 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.191 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.191 * [taylor]: Taking taylor expansion of 1/3 in n 7.191 * [backup-simplify]: Simplify 1/3 into 1/3 7.191 * [taylor]: Taking taylor expansion of (log -1) in n 7.191 * [taylor]: Taking taylor expansion of -1 in n 7.191 * [backup-simplify]: Simplify -1 into -1 7.191 * [backup-simplify]: Simplify (log -1) into (log -1) 7.192 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.193 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.194 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.195 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.197 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.198 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0 7.198 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.200 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.201 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.202 * [backup-simplify]: Simplify (- 0) into 0 7.203 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.204 * [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 7.204 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 7.206 * [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))) 7.207 * [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))) 7.207 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n 7.208 * [taylor]: Taking taylor expansion of 2/9 in n 7.208 * [backup-simplify]: Simplify 2/9 into 2/9 7.208 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n 7.208 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 7.208 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.208 * [taylor]: Taking taylor expansion of -1 in n 7.208 * [backup-simplify]: Simplify -1 into -1 7.208 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.209 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.209 * [taylor]: Taking taylor expansion of n in n 7.209 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify 1 into 1 7.209 * [backup-simplify]: Simplify (* 1 1) into 1 7.210 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.210 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.210 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.211 * [taylor]: Taking taylor expansion of 1/3 in n 7.211 * [backup-simplify]: Simplify 1/3 into 1/3 7.211 * [taylor]: Taking taylor expansion of (log -1) in n 7.211 * [taylor]: Taking taylor expansion of -1 in n 7.211 * [backup-simplify]: Simplify -1 into -1 7.211 * [backup-simplify]: Simplify (log -1) into (log -1) 7.212 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.213 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.216 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.222 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.228 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.229 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.230 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 7.230 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.233 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.235 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.236 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.239 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.240 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.241 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.242 * [backup-simplify]: Simplify (+ 0 0) into 0 7.243 * [backup-simplify]: Simplify (- 0) into 0 7.243 * [backup-simplify]: Simplify (+ 0 0) into 0 7.243 * [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)))) 7.245 * [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)) 7.245 * [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))) 7.251 * [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))) 7.255 * [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))) 7.255 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n 7.255 * [taylor]: Taking taylor expansion of 22/81 in n 7.255 * [backup-simplify]: Simplify 22/81 into 22/81 7.255 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n 7.255 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 7.255 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.255 * [taylor]: Taking taylor expansion of -1 in n 7.255 * [backup-simplify]: Simplify -1 into -1 7.255 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.256 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.256 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.256 * [taylor]: Taking taylor expansion of n in n 7.256 * [backup-simplify]: Simplify 0 into 0 7.256 * [backup-simplify]: Simplify 1 into 1 7.257 * [backup-simplify]: Simplify (* 1 1) into 1 7.257 * [backup-simplify]: Simplify (* 1 1) into 1 7.258 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.258 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.258 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.258 * [taylor]: Taking taylor expansion of 1/3 in n 7.258 * [backup-simplify]: Simplify 1/3 into 1/3 7.258 * [taylor]: Taking taylor expansion of (log -1) in n 7.258 * [taylor]: Taking taylor expansion of -1 in n 7.258 * [backup-simplify]: Simplify -1 into -1 7.258 * [backup-simplify]: Simplify (log -1) into (log -1) 7.259 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.261 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.269 * [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 7.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 7.272 * [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 7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.281 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 7.282 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.282 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.283 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.284 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0 7.284 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.286 * [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)) 7.286 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0 7.286 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n 7.286 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 7.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 7.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.286 * [taylor]: Taking taylor expansion of 1/3 in n 7.286 * [backup-simplify]: Simplify 1/3 into 1/3 7.286 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.286 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.286 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.286 * [taylor]: Taking taylor expansion of f in n 7.286 * [backup-simplify]: Simplify f into f 7.286 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.286 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.286 * [taylor]: Taking taylor expansion of n in n 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (/ 1 1) into 1 7.286 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.286 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.286 * [taylor]: Taking taylor expansion of f in n 7.286 * [backup-simplify]: Simplify f into f 7.286 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.286 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.286 * [taylor]: Taking taylor expansion of n in n 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.287 * [backup-simplify]: Simplify (/ 1 1) into 1 7.287 * [backup-simplify]: Simplify (+ 0 1) into 1 7.287 * [backup-simplify]: Simplify (- 1) into -1 7.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.288 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.288 * [backup-simplify]: Simplify (log -1) into (log -1) 7.288 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.289 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.289 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.289 * [taylor]: Taking taylor expansion of -1 in n 7.289 * [backup-simplify]: Simplify -1 into -1 7.290 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.290 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.290 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 7.290 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 7.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.290 * [taylor]: Taking taylor expansion of 1/3 in f 7.290 * [backup-simplify]: Simplify 1/3 into 1/3 7.290 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.290 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.290 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.290 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.290 * [taylor]: Taking taylor expansion of f in f 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.291 * [backup-simplify]: Simplify (/ 1 1) into 1 7.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.291 * [taylor]: Taking taylor expansion of n in f 7.291 * [backup-simplify]: Simplify n into n 7.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.291 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.291 * [taylor]: Taking taylor expansion of f in f 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 1 into 1 7.291 * [backup-simplify]: Simplify (/ 1 1) into 1 7.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.291 * [taylor]: Taking taylor expansion of n in f 7.291 * [backup-simplify]: Simplify n into n 7.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.291 * [backup-simplify]: Simplify (+ 1 0) into 1 7.292 * [backup-simplify]: Simplify (+ 1 0) into 1 7.292 * [backup-simplify]: Simplify (/ 1 1) into 1 7.292 * [backup-simplify]: Simplify (log 1) into 0 7.292 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.293 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.293 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.294 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.294 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 7.294 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 7.294 * [backup-simplify]: Simplify (exp 0) into 1 7.294 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.294 * [taylor]: Taking taylor expansion of -1 in f 7.294 * [backup-simplify]: Simplify -1 into -1 7.295 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.295 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.295 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 7.295 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 7.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.295 * [taylor]: Taking taylor expansion of 1/3 in f 7.295 * [backup-simplify]: Simplify 1/3 into 1/3 7.295 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.295 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.295 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.295 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.295 * [taylor]: Taking taylor expansion of f in f 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.296 * [backup-simplify]: Simplify (/ 1 1) into 1 7.296 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.296 * [taylor]: Taking taylor expansion of n in f 7.296 * [backup-simplify]: Simplify n into n 7.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.296 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.296 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.296 * [taylor]: Taking taylor expansion of f in f 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 1 into 1 7.296 * [backup-simplify]: Simplify (/ 1 1) into 1 7.296 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.296 * [taylor]: Taking taylor expansion of n in f 7.296 * [backup-simplify]: Simplify n into n 7.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.296 * [backup-simplify]: Simplify (+ 1 0) into 1 7.297 * [backup-simplify]: Simplify (+ 1 0) into 1 7.297 * [backup-simplify]: Simplify (/ 1 1) into 1 7.297 * [backup-simplify]: Simplify (log 1) into 0 7.297 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.298 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.298 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 7.299 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 7.300 * [backup-simplify]: Simplify (exp 0) into 1 7.300 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.300 * [taylor]: Taking taylor expansion of -1 in f 7.300 * [backup-simplify]: Simplify -1 into -1 7.300 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.301 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.302 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 7.302 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.302 * [taylor]: Taking taylor expansion of -1 in n 7.302 * [backup-simplify]: Simplify -1 into -1 7.303 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.303 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.304 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.304 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 7.305 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n)) 7.305 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 7.305 * [taylor]: Taking taylor expansion of 2/3 in n 7.305 * [backup-simplify]: Simplify 2/3 into 2/3 7.305 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 7.305 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.305 * [taylor]: Taking taylor expansion of -1 in n 7.305 * [backup-simplify]: Simplify -1 into -1 7.306 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.306 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.306 * [taylor]: Taking taylor expansion of n in n 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify 1 into 1 7.307 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.309 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.312 * [backup-simplify]: Simplify (+ 0 0) into 0 7.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.312 * [backup-simplify]: Simplify (- 0) into 0 7.313 * [backup-simplify]: Simplify (+ 0 0) into 0 7.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.314 * [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 7.315 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 7.315 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 7.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 7.316 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 7.316 * [taylor]: Taking taylor expansion of 2/9 in n 7.316 * [backup-simplify]: Simplify 2/9 into 2/9 7.316 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 7.316 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.316 * [taylor]: Taking taylor expansion of -1 in n 7.316 * [backup-simplify]: Simplify -1 into -1 7.316 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.317 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.317 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.317 * [taylor]: Taking taylor expansion of n in n 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (* 1 1) into 1 7.318 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.321 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.323 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.326 * [backup-simplify]: Simplify (+ 0 0) into 0 7.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.327 * [backup-simplify]: Simplify (- 0) into 0 7.327 * [backup-simplify]: Simplify (+ 0 0) into 0 7.328 * [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))) 7.329 * [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)) 7.330 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 7.330 * [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)) 7.331 * [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))) 7.331 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 7.331 * [taylor]: Taking taylor expansion of 22/81 in n 7.331 * [backup-simplify]: Simplify 22/81 into 22/81 7.331 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 7.331 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.331 * [taylor]: Taking taylor expansion of -1 in n 7.331 * [backup-simplify]: Simplify -1 into -1 7.332 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.332 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.332 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.332 * [taylor]: Taking taylor expansion of n in n 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (* 1 1) into 1 7.333 * [backup-simplify]: Simplify (* 1 1) into 1 7.333 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.342 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.343 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 7.343 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 7.343 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 7.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 7.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 7.343 * [taylor]: Taking taylor expansion of 1/3 in n 7.343 * [backup-simplify]: Simplify 1/3 into 1/3 7.343 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.343 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.343 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.343 * [taylor]: Taking taylor expansion of f in n 7.343 * [backup-simplify]: Simplify f into f 7.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.343 * [taylor]: Taking taylor expansion of n in n 7.343 * [backup-simplify]: Simplify 0 into 0 7.343 * [backup-simplify]: Simplify 1 into 1 7.344 * [backup-simplify]: Simplify (/ 1 1) into 1 7.344 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.344 * [taylor]: Taking taylor expansion of n in n 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 1 into 1 7.344 * [backup-simplify]: Simplify (/ 1 1) into 1 7.344 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.344 * [taylor]: Taking taylor expansion of f in n 7.344 * [backup-simplify]: Simplify f into f 7.344 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.352 * [backup-simplify]: Simplify (+ 0 1) into 1 7.353 * [backup-simplify]: Simplify (+ 1 0) into 1 7.354 * [backup-simplify]: Simplify (/ 1 1) into 1 7.354 * [backup-simplify]: Simplify (log 1) into 0 7.354 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.355 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.356 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.356 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.356 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 7.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 7.357 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 7.357 * [backup-simplify]: Simplify (exp 0) into 1 7.357 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 7.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 7.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.358 * [taylor]: Taking taylor expansion of 1/3 in f 7.358 * [backup-simplify]: Simplify 1/3 into 1/3 7.358 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.358 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.358 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.358 * [taylor]: Taking taylor expansion of f in f 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [backup-simplify]: Simplify (/ 1 1) into 1 7.358 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.358 * [taylor]: Taking taylor expansion of n in f 7.358 * [backup-simplify]: Simplify n into n 7.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.358 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.358 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.358 * [taylor]: Taking taylor expansion of n in f 7.358 * [backup-simplify]: Simplify n into n 7.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.358 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.358 * [taylor]: Taking taylor expansion of f in f 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.359 * [backup-simplify]: Simplify (/ 1 1) into 1 7.359 * [backup-simplify]: Simplify (+ 1 0) into 1 7.360 * [backup-simplify]: Simplify (- 1) into -1 7.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.360 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.361 * [backup-simplify]: Simplify (log -1) into (log -1) 7.362 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.363 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.363 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 7.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 7.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.363 * [taylor]: Taking taylor expansion of 1/3 in f 7.363 * [backup-simplify]: Simplify 1/3 into 1/3 7.363 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.364 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.364 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.364 * [taylor]: Taking taylor expansion of f in f 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 1 into 1 7.364 * [backup-simplify]: Simplify (/ 1 1) into 1 7.364 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.364 * [taylor]: Taking taylor expansion of n in f 7.364 * [backup-simplify]: Simplify n into n 7.364 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.364 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.364 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.364 * [taylor]: Taking taylor expansion of n in f 7.364 * [backup-simplify]: Simplify n into n 7.364 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.364 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.364 * [taylor]: Taking taylor expansion of f in f 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 1 into 1 7.365 * [backup-simplify]: Simplify (/ 1 1) into 1 7.365 * [backup-simplify]: Simplify (+ 1 0) into 1 7.366 * [backup-simplify]: Simplify (- 1) into -1 7.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.366 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.367 * [backup-simplify]: Simplify (log -1) into (log -1) 7.368 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.369 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.369 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.369 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.369 * [taylor]: Taking taylor expansion of 1/3 in n 7.369 * [backup-simplify]: Simplify 1/3 into 1/3 7.369 * [taylor]: Taking taylor expansion of (log -1) in n 7.369 * [taylor]: Taking taylor expansion of -1 in n 7.369 * [backup-simplify]: Simplify -1 into -1 7.370 * [backup-simplify]: Simplify (log -1) into (log -1) 7.371 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.372 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.373 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 7.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.374 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.375 * [backup-simplify]: Simplify (- 0) into 0 7.375 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.375 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 7.376 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 7.378 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 7.378 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n 7.378 * [taylor]: Taking taylor expansion of 2/3 in n 7.378 * [backup-simplify]: Simplify 2/3 into 2/3 7.378 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n 7.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.378 * [taylor]: Taking taylor expansion of n in n 7.378 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify 1 into 1 7.379 * [backup-simplify]: Simplify (/ 1 1) into 1 7.379 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.379 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.379 * [taylor]: Taking taylor expansion of 1/3 in n 7.379 * [backup-simplify]: Simplify 1/3 into 1/3 7.379 * [taylor]: Taking taylor expansion of (log -1) in n 7.379 * [taylor]: Taking taylor expansion of -1 in n 7.379 * [backup-simplify]: Simplify -1 into -1 7.379 * [backup-simplify]: Simplify (log -1) into (log -1) 7.380 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.382 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.386 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 7.388 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 7.389 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 7.389 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.393 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (- 0) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.399 * [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 7.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 7.401 * [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))) 7.401 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n 7.401 * [taylor]: Taking taylor expansion of 2/9 in n 7.401 * [backup-simplify]: Simplify 2/9 into 2/9 7.401 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n 7.401 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.401 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.401 * [taylor]: Taking taylor expansion of n in n 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (* 1 1) into 1 7.401 * [backup-simplify]: Simplify (/ 1 1) into 1 7.401 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.401 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.402 * [taylor]: Taking taylor expansion of 1/3 in n 7.402 * [backup-simplify]: Simplify 1/3 into 1/3 7.402 * [taylor]: Taking taylor expansion of (log -1) in n 7.402 * [taylor]: Taking taylor expansion of -1 in n 7.402 * [backup-simplify]: Simplify -1 into -1 7.402 * [backup-simplify]: Simplify (log -1) into (log -1) 7.402 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.403 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.408 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 7.412 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 7.413 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.418 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.421 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.422 * [backup-simplify]: Simplify (+ 0 0) into 0 7.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.423 * [backup-simplify]: Simplify (- 0) into 0 7.423 * [backup-simplify]: Simplify (+ 0 0) into 0 7.424 * [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)))) 7.426 * [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)) 7.426 * [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))) 7.428 * [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))) 7.428 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n 7.428 * [taylor]: Taking taylor expansion of 22/81 in n 7.428 * [backup-simplify]: Simplify 22/81 into 22/81 7.428 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n 7.428 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.428 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.428 * [taylor]: Taking taylor expansion of n in n 7.428 * [backup-simplify]: Simplify 0 into 0 7.428 * [backup-simplify]: Simplify 1 into 1 7.428 * [backup-simplify]: Simplify (* 1 1) into 1 7.428 * [backup-simplify]: Simplify (* 1 1) into 1 7.429 * [backup-simplify]: Simplify (/ 1 1) into 1 7.429 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.429 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.429 * [taylor]: Taking taylor expansion of 1/3 in n 7.429 * [backup-simplify]: Simplify 1/3 into 1/3 7.429 * [taylor]: Taking taylor expansion of (log -1) in n 7.429 * [taylor]: Taking taylor expansion of -1 in n 7.429 * [backup-simplify]: Simplify -1 into -1 7.429 * [backup-simplify]: Simplify (log -1) into (log -1) 7.430 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.430 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.443 * [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 7.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 7.447 * [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 7.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.449 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 7.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 7.456 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 7.457 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 7.457 * * * [progress]: simplifying candidates 7.457 * * * * [progress]: [ 1 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 2 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 3 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 4 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 5 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 6 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 7 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 8 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 9 / 376 ] simplifiying candidate # 7.457 * * * * [progress]: [ 10 / 376 ] simplifiying candidate # 7.458 * * * * [progress]: [ 11 / 376 ] simplifiying candidate # 7.458 * * * * [progress]: [ 12 / 376 ] simplifiying candidate # 7.458 * * * * [progress]: [ 13 / 376 ] simplifiying candidate # 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simplifiying candidate # 7.467 * * * * [progress]: [ 244 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 245 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 246 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 247 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 248 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 249 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 250 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 251 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 252 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 253 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 254 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 255 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 256 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 257 / 376 ] simplifiying candidate # 7.472 * * * * [progress]: [ 258 / 376 ] simplifiying candidate # 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(+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))> 7.474 * * * * [progress]: [ 289 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 290 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 291 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 292 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 293 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 294 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 295 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 296 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 297 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 298 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 299 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 300 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 301 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 302 / 376 ] simplifiying candidate # 7.474 * * * * [progress]: [ 303 / 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#real (real->posit16 (cbrt (/ (- (+ f n)) (- f n)))))))> 7.478 * * * * [progress]: [ 365 / 376 ] simplifiying candidate # 7.478 * * * * [progress]: [ 366 / 376 ] simplifiying candidate # 7.478 * * * * [progress]: [ 367 / 376 ] simplifiying candidate # 7.478 * * * * [progress]: [ 368 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 369 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 370 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 371 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 372 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 373 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 374 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 375 / 376 ] simplifiying candidate # 7.479 * * * * [progress]: [ 376 / 376 ] simplifiying candidate # 7.487 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ 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))) 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(* (cbrt -1) (pow -1 1/3)) (cbrt -1) (pow -1 1/3) 7.497 * * [simplify]: iteration 0: 218 enodes 7.584 * * [simplify]: iteration 1: 407 enodes 7.704 * * [simplify]: iteration 2: 830 enodes 7.995 * * [simplify]: iteration 3: 2515 enodes 9.348 * * [simplify]: iteration complete: 5001 enodes 9.349 * * [simplify]: Extracting #0: cost 162 inf + 0 9.351 * * [simplify]: Extracting #1: cost 603 inf + 3 9.361 * * [simplify]: Extracting #2: cost 1059 inf + 20243 9.406 * * [simplify]: Extracting #3: cost 874 inf + 135151 9.469 * * [simplify]: Extracting #4: cost 333 inf + 270600 9.535 * * [simplify]: Extracting #5: cost 63 inf + 335731 9.643 * * [simplify]: Extracting #6: cost 41 inf + 342089 9.708 * * [simplify]: Extracting #7: cost 12 inf + 345543 9.793 * * [simplify]: Extracting #8: cost 0 inf + 348576 9.867 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f 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f)) (cbrt (- f n))))) (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (cbrt (/ (- (cbrt (+ n f))) (sqrt (- f n)))) (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (- (/ (cbrt (+ n f)) (- f n)))) (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f)))) (cbrt (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))))) (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (- (/ (cbrt (+ n f)) (- f n)))) (cbrt (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (- (/ (sqrt (+ n f)) (cbrt (- f n))))) (cbrt (/ (sqrt (+ n f)) (sqrt (- f n)))) (cbrt (- (/ (sqrt (+ n f)) (sqrt (- f n))))) (cbrt (sqrt (+ n f))) (cbrt (/ (- (sqrt (+ n f))) (- f n))) (cbrt (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (cbrt (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n)))) (cbrt (sqrt (+ n f))) (cbrt (/ (- (sqrt (+ n f))) (- f n))) (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (- (+ n f)) (cbrt (- f n)))) (cbrt (/ 1 (sqrt (- f n)))) (cbrt (- (/ (+ n f) (sqrt (- f n))))) 1 (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ 1 (+ (sqrt n) (sqrt f)))) (cbrt (- (/ (+ n f) (- (sqrt f) (sqrt n))))) 1 (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (- (+ n f)) (cbrt (- f n)))) (cbrt (/ 1 (sqrt (- f n)))) (cbrt (- (/ (+ n f) (sqrt (- f n))))) 1 (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ 1 (+ (sqrt n) (sqrt f)))) (cbrt (- (/ (+ n f) (- (sqrt f) (sqrt n))))) 1 (cbrt (/ (- (+ n f)) (- f n))) 1 (cbrt (/ (- (+ n f)) (- f n))) (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))) (cbrt (- (/ (+ n f) (- (* f (* f f)) (* n (* n n)))))) (cbrt (+ (* (+ n f) n) (* f f))) (cbrt (- (/ 1 (- f n)))) (cbrt (+ n f)) (cbrt (- (+ n f))) (cbrt (- f n)) (* (cbrt (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (cbrt (/ (- (+ n f)) (- f n))))) (cbrt (cbrt (/ (- (+ n f)) (- f n)))) (/ (- (+ n f)) (- f n)) (sqrt (cbrt (/ (- (+ n f)) (- f n)))) (sqrt (cbrt (/ (- (+ n f)) (- f n)))) (real->posit16 (cbrt (/ (- (+ n f)) (- f n)))) 1 -1 -1 1 -1 -1 1 -1 -1 (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) 9.919 * * * [progress]: adding candidates to table 11.554 * * [progress]: iteration 4 / 4 11.554 * * * [progress]: picking best candidate 11.556 * * * * [pick]: Picked # 11.556 * * * [progress]: localizing error 11.569 * * * [progress]: generating rewritten candidates 11.569 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 11.622 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 11.644 * * * [progress]: generating series expansions 11.644 * * * * [progress]: [ 1 / 2 ] generating series at (2) 11.644 * [backup-simplify]: Simplify (* (/ -1 (- f n)) (+ f n)) into (* -1 (/ (+ n f) (- f n))) 11.644 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 11.644 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 11.644 * [taylor]: Taking taylor expansion of -1 in n 11.644 * [backup-simplify]: Simplify -1 into -1 11.644 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 11.644 * [taylor]: Taking taylor expansion of (+ n f) in n 11.644 * [taylor]: Taking taylor expansion of n in n 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [taylor]: Taking taylor expansion of f in n 11.644 * [backup-simplify]: Simplify f into f 11.644 * [taylor]: Taking taylor expansion of (- f n) in n 11.644 * [taylor]: Taking taylor expansion of f in n 11.644 * [backup-simplify]: Simplify f into f 11.644 * [taylor]: Taking taylor expansion of n in n 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [backup-simplify]: Simplify (+ 0 f) into f 11.645 * [backup-simplify]: Simplify (- 0) into 0 11.645 * [backup-simplify]: Simplify (+ f 0) into f 11.645 * [backup-simplify]: Simplify (/ f f) into 1 11.645 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 11.645 * [taylor]: Taking taylor expansion of -1 in f 11.645 * [backup-simplify]: Simplify -1 into -1 11.645 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 11.645 * [taylor]: Taking taylor expansion of (+ n f) in f 11.645 * [taylor]: Taking taylor expansion of n in f 11.645 * [backup-simplify]: Simplify n into n 11.645 * [taylor]: Taking taylor expansion of f in f 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of (- f n) in f 11.646 * [taylor]: Taking taylor expansion of f in f 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of n in f 11.646 * [backup-simplify]: Simplify n into n 11.646 * [backup-simplify]: Simplify (+ n 0) into n 11.646 * [backup-simplify]: Simplify (- n) into (- n) 11.646 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.646 * [backup-simplify]: Simplify (/ n (- n)) into -1 11.646 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 11.646 * [taylor]: Taking taylor expansion of -1 in f 11.646 * [backup-simplify]: Simplify -1 into -1 11.646 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 11.646 * [taylor]: Taking taylor expansion of (+ n f) in f 11.646 * [taylor]: Taking taylor expansion of n in f 11.646 * [backup-simplify]: Simplify n into n 11.646 * [taylor]: Taking taylor expansion of f in f 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of (- f n) in f 11.646 * [taylor]: Taking taylor expansion of f in f 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of n in f 11.646 * [backup-simplify]: Simplify n into n 11.646 * [backup-simplify]: Simplify (+ n 0) into n 11.646 * [backup-simplify]: Simplify (- n) into (- n) 11.646 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.646 * [backup-simplify]: Simplify (/ n (- n)) into -1 11.647 * [backup-simplify]: Simplify (* -1 -1) into 1 11.647 * [taylor]: Taking taylor expansion of 1 in n 11.647 * [backup-simplify]: Simplify 1 into 1 11.647 * [backup-simplify]: Simplify 1 into 1 11.647 * [backup-simplify]: Simplify (+ 0 1) into 1 11.648 * [backup-simplify]: Simplify (- 0) into 0 11.648 * [backup-simplify]: Simplify (+ 1 0) into 1 11.648 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 11.649 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 11.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.649 * [taylor]: Taking taylor expansion of 2 in n 11.649 * [backup-simplify]: Simplify 2 into 2 11.649 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.649 * [taylor]: Taking taylor expansion of n in n 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 1 into 1 11.650 * [backup-simplify]: Simplify (/ 1 1) into 1 11.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.651 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify (+ 0 0) into 0 11.652 * [backup-simplify]: Simplify (- 0) into 0 11.652 * [backup-simplify]: Simplify (+ 0 0) into 0 11.653 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 11.653 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 11.653 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.653 * [taylor]: Taking taylor expansion of 2 in n 11.653 * [backup-simplify]: Simplify 2 into 2 11.653 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.653 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.653 * [taylor]: Taking taylor expansion of n in n 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify 1 into 1 11.654 * [backup-simplify]: Simplify (* 1 1) into 1 11.654 * [backup-simplify]: Simplify (/ 1 1) into 1 11.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.659 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.661 * [backup-simplify]: Simplify 0 into 0 11.661 * [backup-simplify]: Simplify 0 into 0 11.661 * [backup-simplify]: Simplify (+ 0 0) into 0 11.661 * [backup-simplify]: Simplify (- 0) into 0 11.662 * [backup-simplify]: Simplify (+ 0 0) into 0 11.662 * [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)))) 11.663 * [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))) 11.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.663 * [taylor]: Taking taylor expansion of 2 in n 11.663 * [backup-simplify]: Simplify 2 into 2 11.663 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.663 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.663 * [taylor]: Taking taylor expansion of n in n 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify 1 into 1 11.664 * [backup-simplify]: Simplify (* 1 1) into 1 11.664 * [backup-simplify]: Simplify (* 1 1) into 1 11.664 * [backup-simplify]: Simplify (/ 1 1) into 1 11.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 11.674 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 11.675 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 11.675 * [taylor]: Taking taylor expansion of -1 in n 11.675 * [backup-simplify]: Simplify -1 into -1 11.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 11.675 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.675 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.675 * [taylor]: Taking taylor expansion of f in n 11.675 * [backup-simplify]: Simplify f into f 11.675 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.675 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.675 * [taylor]: Taking taylor expansion of n in n 11.675 * [backup-simplify]: Simplify 0 into 0 11.675 * [backup-simplify]: Simplify 1 into 1 11.675 * [backup-simplify]: Simplify (/ 1 1) into 1 11.675 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.675 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.675 * [taylor]: Taking taylor expansion of f in n 11.676 * [backup-simplify]: Simplify f into f 11.676 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.676 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.676 * [taylor]: Taking taylor expansion of n in n 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [backup-simplify]: Simplify (/ 1 1) into 1 11.677 * [backup-simplify]: Simplify (+ 0 1) into 1 11.677 * [backup-simplify]: Simplify (- 1) into -1 11.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.678 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.678 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 11.678 * [taylor]: Taking taylor expansion of -1 in f 11.678 * [backup-simplify]: Simplify -1 into -1 11.678 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 11.678 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.678 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.678 * [taylor]: Taking taylor expansion of f in f 11.678 * [backup-simplify]: Simplify 0 into 0 11.678 * [backup-simplify]: Simplify 1 into 1 11.679 * [backup-simplify]: Simplify (/ 1 1) into 1 11.679 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.679 * [taylor]: Taking taylor expansion of n in f 11.679 * [backup-simplify]: Simplify n into n 11.679 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.679 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.679 * [taylor]: Taking taylor expansion of f in f 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify 1 into 1 11.679 * [backup-simplify]: Simplify (/ 1 1) into 1 11.680 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.680 * [taylor]: Taking taylor expansion of n in f 11.680 * [backup-simplify]: Simplify n into n 11.680 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.680 * [backup-simplify]: Simplify (+ 1 0) into 1 11.681 * [backup-simplify]: Simplify (+ 1 0) into 1 11.681 * [backup-simplify]: Simplify (/ 1 1) into 1 11.681 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 11.681 * [taylor]: Taking taylor expansion of -1 in f 11.681 * [backup-simplify]: Simplify -1 into -1 11.681 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 11.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.681 * [taylor]: Taking taylor expansion of f in f 11.681 * [backup-simplify]: Simplify 0 into 0 11.681 * [backup-simplify]: Simplify 1 into 1 11.682 * [backup-simplify]: Simplify (/ 1 1) into 1 11.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.682 * [taylor]: Taking taylor expansion of n in f 11.682 * [backup-simplify]: Simplify n into n 11.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.682 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.682 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.682 * [taylor]: Taking taylor expansion of f in f 11.682 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify 1 into 1 11.682 * [backup-simplify]: Simplify (/ 1 1) into 1 11.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.682 * [taylor]: Taking taylor expansion of n in f 11.682 * [backup-simplify]: Simplify n into n 11.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.683 * [backup-simplify]: Simplify (+ 1 0) into 1 11.683 * [backup-simplify]: Simplify (+ 1 0) into 1 11.684 * [backup-simplify]: Simplify (/ 1 1) into 1 11.684 * [backup-simplify]: Simplify (* -1 1) into -1 11.684 * [taylor]: Taking taylor expansion of -1 in n 11.684 * [backup-simplify]: Simplify -1 into -1 11.684 * [backup-simplify]: Simplify -1 into -1 11.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.685 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.686 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.686 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.686 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 11.687 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 11.687 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.687 * [taylor]: Taking taylor expansion of 2 in n 11.687 * [backup-simplify]: Simplify 2 into 2 11.687 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.687 * [taylor]: Taking taylor expansion of n in n 11.687 * [backup-simplify]: Simplify 0 into 0 11.687 * [backup-simplify]: Simplify 1 into 1 11.688 * [backup-simplify]: Simplify (/ 1 1) into 1 11.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.689 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.690 * [backup-simplify]: Simplify (- 0) into 0 11.690 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.692 * [backup-simplify]: Simplify (+ 0 0) into 0 11.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.694 * [backup-simplify]: Simplify (- 0) into 0 11.694 * [backup-simplify]: Simplify (+ 0 0) into 0 11.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 11.696 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 11.696 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.696 * [taylor]: Taking taylor expansion of 2 in n 11.696 * [backup-simplify]: Simplify 2 into 2 11.696 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.696 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.696 * [taylor]: Taking taylor expansion of n in n 11.696 * [backup-simplify]: Simplify 0 into 0 11.696 * [backup-simplify]: Simplify 1 into 1 11.697 * [backup-simplify]: Simplify (* 1 1) into 1 11.697 * [backup-simplify]: Simplify (/ 1 1) into 1 11.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.702 * [backup-simplify]: Simplify (- 0) into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.704 * [backup-simplify]: Simplify (- 0) into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.706 * [backup-simplify]: Simplify (+ 0 0) into 0 11.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.707 * [backup-simplify]: Simplify (- 0) into 0 11.708 * [backup-simplify]: Simplify (+ 0 0) into 0 11.710 * [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))) 11.710 * [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)))) 11.710 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.711 * [taylor]: Taking taylor expansion of 2 in n 11.711 * [backup-simplify]: Simplify 2 into 2 11.711 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.711 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.711 * [taylor]: Taking taylor expansion of n in n 11.711 * [backup-simplify]: Simplify 0 into 0 11.711 * [backup-simplify]: Simplify 1 into 1 11.711 * [backup-simplify]: Simplify (* 1 1) into 1 11.712 * [backup-simplify]: Simplify (* 1 1) into 1 11.712 * [backup-simplify]: Simplify (/ 1 1) into 1 11.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.722 * [backup-simplify]: Simplify (- 0) into 0 11.722 * [backup-simplify]: Simplify 0 into 0 11.722 * [backup-simplify]: Simplify -1 into -1 11.722 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 11.722 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 11.722 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 11.722 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.722 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.722 * [taylor]: Taking taylor expansion of f in n 11.722 * [backup-simplify]: Simplify f into f 11.722 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.722 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.723 * [taylor]: Taking taylor expansion of n in n 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify 1 into 1 11.723 * [backup-simplify]: Simplify (/ 1 1) into 1 11.723 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.723 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.723 * [taylor]: Taking taylor expansion of n in n 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify 1 into 1 11.724 * [backup-simplify]: Simplify (/ 1 1) into 1 11.724 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.724 * [taylor]: Taking taylor expansion of f in n 11.724 * [backup-simplify]: Simplify f into f 11.724 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.724 * [backup-simplify]: Simplify (+ 0 1) into 1 11.725 * [backup-simplify]: Simplify (+ 1 0) into 1 11.725 * [backup-simplify]: Simplify (/ 1 1) into 1 11.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 11.725 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.725 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.725 * [taylor]: Taking taylor expansion of f in f 11.725 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify 1 into 1 11.726 * [backup-simplify]: Simplify (/ 1 1) into 1 11.726 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.726 * [taylor]: Taking taylor expansion of n in f 11.726 * [backup-simplify]: Simplify n into n 11.726 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.726 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.726 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.726 * [taylor]: Taking taylor expansion of n in f 11.726 * [backup-simplify]: Simplify n into n 11.726 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.726 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.726 * [taylor]: Taking taylor expansion of f in f 11.726 * [backup-simplify]: Simplify 0 into 0 11.726 * [backup-simplify]: Simplify 1 into 1 11.727 * [backup-simplify]: Simplify (/ 1 1) into 1 11.727 * [backup-simplify]: Simplify (+ 1 0) into 1 11.728 * [backup-simplify]: Simplify (- 1) into -1 11.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.728 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.729 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 11.729 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.729 * [taylor]: Taking taylor expansion of f in f 11.729 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify 1 into 1 11.729 * [backup-simplify]: Simplify (/ 1 1) into 1 11.729 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.729 * [taylor]: Taking taylor expansion of n in f 11.729 * [backup-simplify]: Simplify n into n 11.729 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.729 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.729 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.729 * [taylor]: Taking taylor expansion of n in f 11.729 * [backup-simplify]: Simplify n into n 11.729 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.729 * [taylor]: Taking taylor expansion of f in f 11.729 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 1 into 1 11.730 * [backup-simplify]: Simplify (/ 1 1) into 1 11.730 * [backup-simplify]: Simplify (+ 1 0) into 1 11.731 * [backup-simplify]: Simplify (- 1) into -1 11.731 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.732 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.732 * [taylor]: Taking taylor expansion of -1 in n 11.732 * [backup-simplify]: Simplify -1 into -1 11.732 * [backup-simplify]: Simplify -1 into -1 11.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.733 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.734 * [backup-simplify]: Simplify (- 0) into 0 11.734 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.734 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 11.734 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.734 * [taylor]: Taking taylor expansion of 2 in n 11.734 * [backup-simplify]: Simplify 2 into 2 11.734 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.734 * [taylor]: Taking taylor expansion of n in n 11.734 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify 1 into 1 11.735 * [backup-simplify]: Simplify (/ 1 1) into 1 11.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.736 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.736 * [backup-simplify]: Simplify (- 0) into 0 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.737 * [backup-simplify]: Simplify (+ 0 0) into 0 11.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.738 * [backup-simplify]: Simplify (- 0) into 0 11.738 * [backup-simplify]: Simplify (+ 0 0) into 0 11.739 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.739 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.739 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.739 * [taylor]: Taking taylor expansion of 2 in n 11.739 * [backup-simplify]: Simplify 2 into 2 11.739 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.739 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.739 * [taylor]: Taking taylor expansion of n in n 11.739 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [backup-simplify]: Simplify (* 1 1) into 1 11.739 * [backup-simplify]: Simplify (/ 1 1) into 1 11.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.742 * [backup-simplify]: Simplify (- 0) into 0 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.743 * [backup-simplify]: Simplify (- 0) into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.744 * [backup-simplify]: Simplify (+ 0 0) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.745 * [backup-simplify]: Simplify (- 0) into 0 11.745 * [backup-simplify]: Simplify (+ 0 0) into 0 11.746 * [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)))) 11.746 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.746 * [taylor]: Taking taylor expansion of 2 in n 11.746 * [backup-simplify]: Simplify 2 into 2 11.746 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.746 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.746 * [taylor]: Taking taylor expansion of n in n 11.746 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify 1 into 1 11.747 * [backup-simplify]: Simplify (* 1 1) into 1 11.747 * [backup-simplify]: Simplify (* 1 1) into 1 11.747 * [backup-simplify]: Simplify (/ 1 1) into 1 11.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.753 * [backup-simplify]: Simplify (- 0) into 0 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify -1 into -1 11.753 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 11.753 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 11.753 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 11.753 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 11.753 * [taylor]: Taking taylor expansion of -1 in n 11.753 * [backup-simplify]: Simplify -1 into -1 11.753 * [taylor]: Taking taylor expansion of (- f n) in n 11.753 * [taylor]: Taking taylor expansion of f in n 11.753 * [backup-simplify]: Simplify f into f 11.753 * [taylor]: Taking taylor expansion of n in n 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify 1 into 1 11.753 * [backup-simplify]: Simplify (- 0) into 0 11.753 * [backup-simplify]: Simplify (+ f 0) into f 11.753 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 11.753 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 11.753 * [taylor]: Taking taylor expansion of -1 in f 11.753 * [backup-simplify]: Simplify -1 into -1 11.753 * [taylor]: Taking taylor expansion of (- f n) in f 11.753 * [taylor]: Taking taylor expansion of f in f 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify 1 into 1 11.753 * [taylor]: Taking taylor expansion of n in f 11.753 * [backup-simplify]: Simplify n into n 11.753 * [backup-simplify]: Simplify (- n) into (- n) 11.753 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.753 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 11.753 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 11.753 * [taylor]: Taking taylor expansion of -1 in f 11.753 * [backup-simplify]: Simplify -1 into -1 11.754 * [taylor]: Taking taylor expansion of (- f n) in f 11.754 * [taylor]: Taking taylor expansion of f in f 11.754 * [backup-simplify]: Simplify 0 into 0 11.754 * [backup-simplify]: Simplify 1 into 1 11.754 * [taylor]: Taking taylor expansion of n in f 11.754 * [backup-simplify]: Simplify n into n 11.754 * [backup-simplify]: Simplify (- n) into (- n) 11.754 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.754 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 11.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.754 * [taylor]: Taking taylor expansion of n in n 11.754 * [backup-simplify]: Simplify 0 into 0 11.754 * [backup-simplify]: Simplify 1 into 1 11.754 * [backup-simplify]: Simplify (/ 1 1) into 1 11.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.754 * [backup-simplify]: Simplify 0 into 0 11.755 * [backup-simplify]: Simplify (- 0) into 0 11.755 * [backup-simplify]: Simplify (+ 1 0) into 1 11.755 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 11.755 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.755 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.755 * [taylor]: Taking taylor expansion of n in n 11.755 * [backup-simplify]: Simplify 0 into 0 11.755 * [backup-simplify]: Simplify 1 into 1 11.755 * [backup-simplify]: Simplify (* 1 1) into 1 11.756 * [backup-simplify]: Simplify (/ 1 1) into 1 11.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.758 * [backup-simplify]: Simplify 0 into 0 11.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.758 * [backup-simplify]: Simplify 0 into 0 11.758 * [backup-simplify]: Simplify (- 0) into 0 11.759 * [backup-simplify]: Simplify (+ 0 0) into 0 11.759 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 11.759 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.759 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.759 * [taylor]: Taking taylor expansion of n in n 11.759 * [backup-simplify]: Simplify 0 into 0 11.759 * [backup-simplify]: Simplify 1 into 1 11.759 * [backup-simplify]: Simplify (* 1 1) into 1 11.762 * [backup-simplify]: Simplify (* 1 1) into 1 11.762 * [backup-simplify]: Simplify (/ 1 1) into 1 11.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.769 * [backup-simplify]: Simplify 0 into 0 11.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.771 * [backup-simplify]: Simplify 0 into 0 11.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.772 * [backup-simplify]: Simplify 0 into 0 11.772 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 11.773 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 11.773 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 11.773 * [taylor]: Taking taylor expansion of -1 in n 11.773 * [backup-simplify]: Simplify -1 into -1 11.773 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.773 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.773 * [taylor]: Taking taylor expansion of f in n 11.773 * [backup-simplify]: Simplify f into f 11.773 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.773 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.773 * [taylor]: Taking taylor expansion of n in n 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 1 into 1 11.773 * [backup-simplify]: Simplify (/ 1 1) into 1 11.774 * [backup-simplify]: Simplify (- 1) into -1 11.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.775 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.775 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 11.775 * [taylor]: Taking taylor expansion of -1 in f 11.775 * [backup-simplify]: Simplify -1 into -1 11.775 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.775 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.775 * [taylor]: Taking taylor expansion of f in f 11.775 * [backup-simplify]: Simplify 0 into 0 11.775 * [backup-simplify]: Simplify 1 into 1 11.775 * [backup-simplify]: Simplify (/ 1 1) into 1 11.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.775 * [taylor]: Taking taylor expansion of n in f 11.776 * [backup-simplify]: Simplify n into n 11.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.776 * [backup-simplify]: Simplify (+ 1 0) into 1 11.777 * [backup-simplify]: Simplify (/ -1 1) into -1 11.777 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 11.777 * [taylor]: Taking taylor expansion of -1 in f 11.777 * [backup-simplify]: Simplify -1 into -1 11.777 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.777 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.777 * [taylor]: Taking taylor expansion of f in f 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.777 * [backup-simplify]: Simplify (/ 1 1) into 1 11.777 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.777 * [taylor]: Taking taylor expansion of n in f 11.777 * [backup-simplify]: Simplify n into n 11.777 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.778 * [backup-simplify]: Simplify (+ 1 0) into 1 11.778 * [backup-simplify]: Simplify (/ -1 1) into -1 11.778 * [taylor]: Taking taylor expansion of -1 in n 11.778 * [backup-simplify]: Simplify -1 into -1 11.778 * [backup-simplify]: Simplify 0 into 0 11.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.779 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.779 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 11.780 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 11.780 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.780 * [taylor]: Taking taylor expansion of n in n 11.780 * [backup-simplify]: Simplify 0 into 0 11.780 * [backup-simplify]: Simplify 1 into 1 11.781 * [backup-simplify]: Simplify (/ 1 1) into 1 11.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.783 * [backup-simplify]: Simplify (- 0) into 0 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.784 * [backup-simplify]: Simplify (- 0) into 0 11.785 * [backup-simplify]: Simplify (+ 0 0) into 0 11.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 11.786 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 11.786 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.786 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.786 * [taylor]: Taking taylor expansion of n in n 11.786 * [backup-simplify]: Simplify 0 into 0 11.786 * [backup-simplify]: Simplify 1 into 1 11.786 * [backup-simplify]: Simplify (* 1 1) into 1 11.787 * [backup-simplify]: Simplify (/ 1 1) into 1 11.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.793 * [backup-simplify]: Simplify (- 0) into 0 11.793 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.794 * [backup-simplify]: Simplify (- 0) into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 11.794 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 11.794 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 11.794 * [taylor]: Taking taylor expansion of -1 in n 11.795 * [backup-simplify]: Simplify -1 into -1 11.795 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.795 * [taylor]: Taking taylor expansion of n in n 11.795 * [backup-simplify]: Simplify 0 into 0 11.795 * [backup-simplify]: Simplify 1 into 1 11.795 * [backup-simplify]: Simplify (/ 1 1) into 1 11.795 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.795 * [taylor]: Taking taylor expansion of f in n 11.795 * [backup-simplify]: Simplify f into f 11.795 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.795 * [backup-simplify]: Simplify (+ 1 0) into 1 11.796 * [backup-simplify]: Simplify (/ -1 1) into -1 11.796 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 11.796 * [taylor]: Taking taylor expansion of -1 in f 11.796 * [backup-simplify]: Simplify -1 into -1 11.796 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.796 * [taylor]: Taking taylor expansion of n in f 11.796 * [backup-simplify]: Simplify n into n 11.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.796 * [taylor]: Taking taylor expansion of f in f 11.796 * [backup-simplify]: Simplify 0 into 0 11.796 * [backup-simplify]: Simplify 1 into 1 11.796 * [backup-simplify]: Simplify (/ 1 1) into 1 11.796 * [backup-simplify]: Simplify (- 1) into -1 11.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.797 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.797 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 11.797 * [taylor]: Taking taylor expansion of -1 in f 11.797 * [backup-simplify]: Simplify -1 into -1 11.797 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.797 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.797 * [taylor]: Taking taylor expansion of n in f 11.797 * [backup-simplify]: Simplify n into n 11.797 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.797 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.797 * [taylor]: Taking taylor expansion of f in f 11.797 * [backup-simplify]: Simplify 0 into 0 11.797 * [backup-simplify]: Simplify 1 into 1 11.797 * [backup-simplify]: Simplify (/ 1 1) into 1 11.797 * [backup-simplify]: Simplify (- 1) into -1 11.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.798 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.798 * [taylor]: Taking taylor expansion of 1 in n 11.798 * [backup-simplify]: Simplify 1 into 1 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.799 * [backup-simplify]: Simplify (- 0) into 0 11.799 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.799 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 11.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.799 * [taylor]: Taking taylor expansion of n in n 11.799 * [backup-simplify]: Simplify 0 into 0 11.799 * [backup-simplify]: Simplify 1 into 1 11.799 * [backup-simplify]: Simplify (/ 1 1) into 1 11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [backup-simplify]: Simplify 0 into 0 11.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify (- 0) into 0 11.802 * [backup-simplify]: Simplify (+ 0 0) into 0 11.802 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 11.802 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.802 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.802 * [taylor]: Taking taylor expansion of n in n 11.802 * [backup-simplify]: Simplify 0 into 0 11.802 * [backup-simplify]: Simplify 1 into 1 11.803 * [backup-simplify]: Simplify (* 1 1) into 1 11.803 * [backup-simplify]: Simplify (/ 1 1) into 1 11.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.806 * [backup-simplify]: Simplify 0 into 0 11.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.806 * [backup-simplify]: Simplify 0 into 0 11.806 * [backup-simplify]: Simplify 0 into 0 11.806 * [backup-simplify]: Simplify 0 into 0 11.807 * * * [progress]: simplifying candidates 11.807 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 11.807 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 47 / 92 ] simplifiying candidate #real (real->posit16 (* (/ -1 (- f n)) (+ f n)))))> 11.808 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 11.808 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 11.809 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 80 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 86 / 92 ] simplifiying candidate #real (real->posit16 (/ -1 (- f n)))) (+ f n)))> 11.810 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 11.810 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 11.811 * [simplify]: Simplifying: (* (/ -1 (- f n)) (+ f n)) (+ (- (log -1) (log (- f n))) (log (+ f n))) (+ (log (/ -1 (- f n))) (log (+ f n))) (log (* (/ -1 (- f n)) (+ f n))) (exp (* (/ -1 (- f n)) (+ f n))) (* (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (* (/ -1 (- f n)) (+ f n))) (cbrt (* (/ -1 (- f n)) (+ f n)))) (cbrt (* (/ -1 (- f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (* -1 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* f (/ -1 (- f n))) (* n (/ -1 (- f n))) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (* (/ -1 (- f n)) 1) (* (/ -1 (- f n)) 1) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ 1 (- f n)) (+ f n)) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (real->posit16 (* (/ -1 (- f n)) (+ f n))) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) (real->posit16 (/ -1 (- f n))) 1 -1 -1 0 0 0 11.812 * * [simplify]: iteration 0: 129 enodes 11.870 * * [simplify]: iteration 1: 450 enodes 12.084 * * [simplify]: iteration 2: 1386 enodes 12.839 * * [simplify]: iteration complete: 5001 enodes 12.846 * * [simplify]: Extracting #0: cost 78 inf + 0 12.848 * * [simplify]: Extracting #1: cost 645 inf + 3 12.858 * * [simplify]: Extracting #2: cost 1472 inf + 5287 12.882 * * [simplify]: Extracting #3: cost 1302 inf + 57561 12.935 * * [simplify]: Extracting #4: cost 626 inf + 193873 12.996 * * [simplify]: Extracting #5: cost 90 inf + 331217 13.065 * * [simplify]: Extracting #6: cost 1 inf + 351967 13.181 * * [simplify]: Extracting #7: cost 0 inf + 352126 13.268 * [simplify]: Simplified to: (- (/ (+ n f) (- f n))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (- (/ (+ n f) (- f n))) (* (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))))) (* (- (/ (+ n f) (- f n))) (* (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (- (/ (+ n f) (- f n))) (* (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (- (+ (* (* f f) f) (* n (* n n)))) (* (+ (* n (- n f)) (* f f)) (- f n)) (- (* (- f n) (+ n f))) (* (- f n) (- f n)) (* (sqrt (+ n f)) (sqrt (/ -1 (- f n)))) (* (sqrt (+ n f)) (sqrt (/ -1 (- f n)))) (/ (* (sqrt (+ n f)) (sqrt -1)) (sqrt (- f n))) (/ (* (sqrt (+ n f)) (sqrt -1)) (sqrt (- f n))) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- f n)) (- (/ (sqrt (+ n f)) (- f n))) (/ -1 (- f n)) (/ -1 (- f n)) (* (cbrt (/ -1 (- f n))) (+ n f)) (* (+ n f) (sqrt (/ -1 (- f n)))) (/ (* (+ n f) (cbrt -1)) (cbrt (- f n))) (/ (* (+ n f) (cbrt -1)) (sqrt (- f n))) (/ (* (cbrt -1) (+ f n)) (- f n)) (/ (* (cbrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (+ f n)) (- f n)) (/ (* (+ n f) (sqrt -1)) (cbrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (- f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (/ (* (sqrt -1) (+ n f)) (- f n)) (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (- (/ (+ n f) (- f n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)) (+ (* f (* (+ n f) (+ n f))) (* (+ n f) (* n n))) (* (+ n f) (+ n f)) (/ (- (+ (* (* f f) f) (* n (* n n)))) (- f n)) (- (/ (* (- f n) (+ n f)) (- f n))) (- (+ f n)) (real->posit16 (- (/ (+ n f) (- f n)))) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (/ -1 (- f n)) (* (- f n) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ (/ -1 (- f n)) (* (- f n) (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (+ (- f) n) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (cbrt -1) (/ (+ (sqrt n) (sqrt f)) (cbrt -1))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (* (* f f) f) (* n (* n n)))) (/ (/ -1 (+ n f)) (- f n)) (real->posit16 (/ -1 (- f n))) 1 -1 -1 0 0 0 13.272 * * * [progress]: adding candidates to table 13.646 * [progress]: [Phase 3 of 3] Extracting. 13.646 * * [regime]: Finding splitpoints for: (# # #) 13.648 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 13.648 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 13.691 * * * * [regimes]: Trying to branch on n from (# # #) 13.740 * * * * [regimes]: Trying to branch on f from (# # #) 13.785 * * * [regime]: Found split indices: #