0.003 * [progress]: [Phase 1 of 3] Setting up. 0.036 * * * [progress]: [1/2] Preparing points 0.201 * * * [progress]: [2/2] Setting up program. 0.208 * [progress]: [Phase 2 of 3] Improving. 0.209 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.211 * [simplify]: Simplifying (/ (- (+ f n)) (- f n)) 0.213 * * [simplify]: iteration 1: (6 enodes) 0.221 * * [simplify]: iteration 2: (25 enodes) 0.229 * * [simplify]: iteration 3: (34 enodes) 0.239 * * [simplify]: iteration 4: (37 enodes) 0.249 * * [simplify]: iteration 5: (45 enodes) 0.261 * * [simplify]: iteration 6: (53 enodes) 0.275 * * [simplify]: iteration 7: (58 enodes) 0.292 * * [simplify]: Extracting #0: cost 1 inf + 0 0.292 * * [simplify]: Extracting #1: cost 10 inf + 0 0.292 * * [simplify]: Extracting #2: cost 23 inf + 0 0.293 * * [simplify]: Extracting #3: cost 23 inf + 43 0.293 * * [simplify]: Extracting #4: cost 10 inf + 1026 0.294 * * [simplify]: Extracting #5: cost 3 inf + 1840 0.295 * * [simplify]: Extracting #6: cost 0 inf + 2206 0.296 * [simplify]: Simplified to (/ (- (+ n f)) (- f n)) 0.303 * * [progress]: iteration 1 / 4 0.303 * * * [progress]: picking best candidate 0.330 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.358 * * * [progress]: generating rewritten candidates 0.358 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.495 * * * [progress]: generating series expansions 0.496 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.505 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.505 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.508 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.508 * [taylor]: Taking taylor expansion of -1 in n 0.509 * [backup-simplify]: Simplify -1 into -1 0.509 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.509 * [taylor]: Taking taylor expansion of (+ n f) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of f in n 0.509 * [backup-simplify]: Simplify f into f 0.509 * [taylor]: Taking taylor expansion of (- f n) in n 0.509 * [taylor]: Taking taylor expansion of f in n 0.509 * [backup-simplify]: Simplify f into f 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (+ 0 f) into f 0.511 * [backup-simplify]: Simplify (- 0) into 0 0.511 * [backup-simplify]: Simplify (+ f 0) into f 0.511 * [backup-simplify]: Simplify (/ f f) into 1 0.511 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.511 * [taylor]: Taking taylor expansion of -1 in f 0.511 * [backup-simplify]: Simplify -1 into -1 0.511 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.511 * [taylor]: Taking taylor expansion of (+ n f) in f 0.511 * [taylor]: Taking taylor expansion of n in f 0.511 * [backup-simplify]: Simplify n into n 0.511 * [taylor]: Taking taylor expansion of f in f 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of (- f n) in f 0.511 * [taylor]: Taking taylor expansion of f in f 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of n in f 0.512 * [backup-simplify]: Simplify n into n 0.512 * [backup-simplify]: Simplify (+ n 0) into n 0.512 * [backup-simplify]: Simplify (- n) into (- n) 0.512 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.512 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.512 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.512 * [taylor]: Taking taylor expansion of -1 in f 0.512 * [backup-simplify]: Simplify -1 into -1 0.512 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.512 * [taylor]: Taking taylor expansion of (+ n f) in f 0.512 * [taylor]: Taking taylor expansion of n in f 0.512 * [backup-simplify]: Simplify n into n 0.512 * [taylor]: Taking taylor expansion of f in f 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of (- f n) in f 0.512 * [taylor]: Taking taylor expansion of f in f 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of n in f 0.512 * [backup-simplify]: Simplify n into n 0.512 * [backup-simplify]: Simplify (+ n 0) into n 0.512 * [backup-simplify]: Simplify (- n) into (- n) 0.513 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.513 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.514 * [backup-simplify]: Simplify (* -1 -1) into 1 0.514 * [taylor]: Taking taylor expansion of 1 in n 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (+ 0 1) into 1 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.519 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.519 * [taylor]: Taking taylor expansion of 2 in n 0.519 * [backup-simplify]: Simplify 2 into 2 0.519 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.560 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.560 * [taylor]: Taking taylor expansion of 2 in n 0.560 * [backup-simplify]: Simplify 2 into 2 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.560 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.561 * [taylor]: Taking taylor expansion of n in n 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [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)))) 0.578 * [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))) 0.578 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.578 * [taylor]: Taking taylor expansion of 2 in n 0.578 * [backup-simplify]: Simplify 2 into 2 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.578 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.591 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.591 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.591 * [taylor]: Taking taylor expansion of -1 in n 0.591 * [backup-simplify]: Simplify -1 into -1 0.591 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.591 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.591 * [taylor]: Taking taylor expansion of f in n 0.591 * [backup-simplify]: Simplify f into f 0.591 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.592 * [taylor]: Taking taylor expansion of n in n 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.593 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.593 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.593 * [taylor]: Taking taylor expansion of f in n 0.593 * [backup-simplify]: Simplify f into f 0.594 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.594 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [backup-simplify]: Simplify (+ 0 1) into 1 0.595 * [backup-simplify]: Simplify (- 1) into -1 0.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.596 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.597 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.597 * [taylor]: Taking taylor expansion of -1 in f 0.597 * [backup-simplify]: Simplify -1 into -1 0.597 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.597 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.597 * [taylor]: Taking taylor expansion of f in f 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.597 * [taylor]: Taking taylor expansion of n in f 0.597 * [backup-simplify]: Simplify n into n 0.597 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.597 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.597 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.597 * [taylor]: Taking taylor expansion of f in f 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.598 * [taylor]: Taking taylor expansion of n in f 0.598 * [backup-simplify]: Simplify n into n 0.598 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.599 * [backup-simplify]: Simplify (+ 1 0) into 1 0.599 * [backup-simplify]: Simplify (+ 1 0) into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.600 * [taylor]: Taking taylor expansion of -1 in f 0.600 * [backup-simplify]: Simplify -1 into -1 0.600 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.600 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.600 * [taylor]: Taking taylor expansion of f in f 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.600 * [taylor]: Taking taylor expansion of n in f 0.600 * [backup-simplify]: Simplify n into n 0.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.600 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.600 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.600 * [taylor]: Taking taylor expansion of f in f 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.601 * [taylor]: Taking taylor expansion of n in f 0.601 * [backup-simplify]: Simplify n into n 0.601 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.602 * [backup-simplify]: Simplify (+ 1 0) into 1 0.602 * [backup-simplify]: Simplify (+ 1 0) into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [backup-simplify]: Simplify (* -1 1) into -1 0.603 * [taylor]: Taking taylor expansion of -1 in n 0.603 * [backup-simplify]: Simplify -1 into -1 0.603 * [backup-simplify]: Simplify -1 into -1 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.618 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.618 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.619 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.619 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.619 * [taylor]: Taking taylor expansion of 2 in n 0.619 * [backup-simplify]: Simplify 2 into 2 0.619 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.628 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.628 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.628 * [taylor]: Taking taylor expansion of 2 in n 0.628 * [backup-simplify]: Simplify 2 into 2 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.628 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.640 * [backup-simplify]: Simplify (- 0) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [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))) 0.642 * [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)))) 0.642 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.642 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.642 * [taylor]: Taking taylor expansion of 2 in n 0.642 * [backup-simplify]: Simplify 2 into 2 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.642 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.642 * [taylor]: Taking taylor expansion of n in n 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (* 1 1) into 1 0.643 * [backup-simplify]: Simplify (* 1 1) into 1 0.643 * [backup-simplify]: Simplify (/ 1 1) into 1 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify -1 into -1 0.650 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.650 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.650 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.650 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.650 * [taylor]: Taking taylor expansion of f in n 0.650 * [backup-simplify]: Simplify f into f 0.650 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.650 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.650 * [taylor]: Taking taylor expansion of n in n 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.650 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.650 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.651 * [taylor]: Taking taylor expansion of n in n 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.651 * [taylor]: Taking taylor expansion of f in n 0.651 * [backup-simplify]: Simplify f into f 0.651 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.652 * [backup-simplify]: Simplify (+ 1 0) into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.652 * [taylor]: Taking taylor expansion of f in f 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.652 * [taylor]: Taking taylor expansion of n in f 0.652 * [backup-simplify]: Simplify n into n 0.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.652 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.652 * [taylor]: Taking taylor expansion of n in f 0.652 * [backup-simplify]: Simplify n into n 0.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.652 * [taylor]: Taking taylor expansion of f in f 0.652 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (+ 1 0) into 1 0.653 * [backup-simplify]: Simplify (- 1) into -1 0.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.654 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.654 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.654 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.654 * [taylor]: Taking taylor expansion of f in f 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.654 * [taylor]: Taking taylor expansion of n in f 0.654 * [backup-simplify]: Simplify n into n 0.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.655 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.655 * [taylor]: Taking taylor expansion of n in f 0.655 * [backup-simplify]: Simplify n into n 0.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.655 * [taylor]: Taking taylor expansion of f in f 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (+ 1 0) into 1 0.655 * [backup-simplify]: Simplify (- 1) into -1 0.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.656 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.656 * [taylor]: Taking taylor expansion of -1 in n 0.656 * [backup-simplify]: Simplify -1 into -1 0.656 * [backup-simplify]: Simplify -1 into -1 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.658 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.658 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.658 * [taylor]: Taking taylor expansion of 2 in n 0.658 * [backup-simplify]: Simplify 2 into 2 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.658 * [taylor]: Taking taylor expansion of n in n 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.659 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.663 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.663 * [taylor]: Taking taylor expansion of 2 in n 0.663 * [backup-simplify]: Simplify 2 into 2 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.663 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [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)))) 0.674 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.674 * [taylor]: Taking taylor expansion of 2 in n 0.674 * [backup-simplify]: Simplify 2 into 2 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.674 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify -1 into -1 0.685 * * * [progress]: simplifying candidates 0.685 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 0.685 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 0.685 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 0.685 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 0.685 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 0.686 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 0.687 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 0.688 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 0.689 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 0.690 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 0.691 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 98 / 101 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.692 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 0.692 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 0.694 * [simplify]: Simplifying (expm1 (/ (- (+ f n)) (- f n))), (log1p (/ (- (+ f n)) (- f n))), (- (log (- (+ f n))) (log (- f n))), (log (/ (- (+ f n)) (- f n))), (exp (/ (- (+ f n)) (- f n))), (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))), (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))), (cbrt (/ (- (+ f n)) (- f n))), (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))), (sqrt (/ (- (+ f n)) (- f n))), (sqrt (/ (- (+ f n)) (- f n))), (- (- (+ f n))), (- (- f n)), (/ 0 (- f n)), (/ (+ f n) (- f n)), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (cbrt (- (+ f n))) (cbrt (- f n))), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))), (/ (cbrt (- (+ f n))) (sqrt (- f n))), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1), (/ (cbrt (- (+ f n))) (- f n)), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))), (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1), (/ (cbrt (- (+ f n))) (- f n)), (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (sqrt (- (+ f n))) (cbrt (- f n))), (/ (sqrt (- (+ f n))) (sqrt (- f n))), (/ (sqrt (- (+ f n))) (sqrt (- f n))), (/ (sqrt (- (+ f n))) 1), (/ (sqrt (- (+ f n))) (- f n)), (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))), (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))), (/ (sqrt (- (+ f n))) 1), (/ (sqrt (- (+ f n))) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (+ f n)) (sqrt (- f n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) (- (sqrt f) (sqrt n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (+ f n) (cbrt (- f n))), (/ -1 (sqrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ -1 1), (/ (+ f n) (- f n)), (/ -1 (+ (sqrt f) (sqrt n))), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ -1 1), (/ (+ f n) (- f n)), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (cbrt (+ f n)) (cbrt (- f n))), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))), (/ (cbrt (+ f n)) (sqrt (- f n))), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1), (/ (cbrt (+ f n)) (- f n)), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))), (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1), (/ (cbrt (+ f n)) (- f n)), (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (sqrt (+ f n)) (cbrt (- f n))), (/ (- (sqrt (+ f n))) (sqrt (- f n))), (/ (sqrt (+ f n)) (sqrt (- f n))), (/ (- (sqrt (+ f n))) 1), (/ (sqrt (+ f n)) (- f n)), (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))), (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))), (/ (- (sqrt (+ f n))) 1), (/ (sqrt (+ f n)) (- f n)), (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (+ f n) (cbrt (- f n))), (/ (- 1) (sqrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (- 1) (+ (sqrt f) (sqrt n))), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (+ f n) (cbrt (- f n))), (/ (- 1) (sqrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (- 1) (+ (sqrt f) (sqrt n))), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (cbrt (+ f n))) (cbrt (- f n))), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))), (/ (- (cbrt (+ f n))) (sqrt (- f n))), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1), (/ (- (cbrt (+ f n))) (- f n)), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))), (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1), (/ (- (cbrt (+ f n))) (- f n)), (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (sqrt (+ f n))) (cbrt (- f n))), (/ (sqrt (+ f n)) (sqrt (- f n))), (/ (- (sqrt (+ f n))) (sqrt (- f n))), (/ (sqrt (+ f n)) 1), (/ (- (sqrt (+ f n))) (- f n)), (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))), (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))), (/ (sqrt (+ f n)) 1), (/ (- (sqrt (+ f n))) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (+ f n)) (sqrt (- f n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) (- (sqrt f) (sqrt n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (+ f n)) (sqrt (- f n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) (- (sqrt f) (sqrt n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (- f n)), (/ (- f n) (- (+ f n))), (/ (+ f n) (- f n)), (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (sqrt (- f n))), (/ (- (+ f n)) 1), (/ (- (+ f n)) (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) 1), (/ (- f n) (cbrt (- (+ f n)))), (/ (- f n) (sqrt (- (+ f n)))), (/ (- f n) (- (+ f n))), (/ (- f n) (+ f n)), (/ (- f n) (cbrt (+ f n))), (/ (- f n) (sqrt (+ f n))), (/ (- f n) (+ f n)), (/ (- f n) (+ f n)), (/ (- f n) (- (cbrt (+ f n)))), (/ (- f n) (- (sqrt (+ f n)))), (/ (- f n) (- (+ f n))), (/ (- f n) (- (+ f n))), (/ (- (+ f n)) (- (pow f 3) (pow n 3))), (/ (- (+ f n)) (- (* f f) (* n n))), (* (- f n) (+ (* f f) (- (* n n) (* f n)))), (* (- f n) (- f n)), (real->posit16 (/ (- (+ f n)) (- f n))), 1, -1, -1 0.697 * * [simplify]: iteration 1: (136 enodes) 0.789 * * [simplify]: iteration 2: (560 enodes) 0.972 * * [simplify]: iteration 3: (1067 enodes) 1.801 * * [simplify]: Extracting #0: cost 89 inf + 0 1.802 * * [simplify]: Extracting #1: cost 340 inf + 3 1.807 * * [simplify]: Extracting #2: cost 529 inf + 2689 1.828 * * [simplify]: Extracting #3: cost 377 inf + 44183 1.854 * * [simplify]: Extracting #4: cost 106 inf + 106619 1.883 * * [simplify]: Extracting #5: cost 7 inf + 130853 1.922 * * [simplify]: Extracting #6: cost 0 inf + 132798 1.957 * [simplify]: Simplified to (expm1 (/ (- (- f) n) (- f n))), (log1p (/ (- (- f) n) (- f n))), (log (/ (- (- f) n) (- f n))), (log (/ (- (- f) n) (- f n))), (exp (/ (- (- f) n) (- f n))), (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))), (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n)))), (cbrt (/ (- (- f) n) (- f n))), (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))), (sqrt (/ (- (- f) n) (- f n))), (sqrt (/ (- (- f) n) (- f n))), (+ n f), (- n f), 0, (/ (+ n f) (- f n)), (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))), (/ (cbrt (- (- f) n)) (cbrt (- f n))), (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (sqrt (- f n))), (/ (cbrt (- (- f) n)) (sqrt (- f n))), (* (cbrt (- (- f) n)) (cbrt (- (- f) n))), (/ (cbrt (- (- f) n)) (- f n)), (/ (cbrt (- (- f) n)) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (- f) n)))), (/ (cbrt (- (- f) n)) (- (sqrt f) (sqrt n))), (* (cbrt (- (- f) n)) (cbrt (- (- f) n))), (/ (cbrt (- (- f) n)) (- f n)), (/ (/ (sqrt (- (- f) n)) (cbrt (- f n))) (cbrt (- f n))), (/ (sqrt (- (- f) n)) (cbrt (- f n))), (/ (sqrt (- (- f) n)) (sqrt (- f n))), (/ (sqrt (- (- f) n)) (sqrt (- f n))), (sqrt (- (- f) n)), (/ (sqrt (- (- f) n)) (- f n)), (/ (sqrt (- (- f) n)) (+ (sqrt n) (sqrt f))), (/ (sqrt (- (- f) n)) (- (sqrt f) (sqrt n))), (sqrt (- (- f) n)), (/ (sqrt (- (- f) n)) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (- f) n) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (- f) n) (sqrt (- f n))), 1, (/ (- (- f) n) (- f n)), (/ 1 (+ (sqrt n) (sqrt f))), (/ (- (- f) n) (- (sqrt f) (sqrt n))), 1, (/ (- (- f) n) (- f n)), (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))), (/ (+ 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)))), (/ (- (- f) n) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (- f) n) (sqrt (- f n))), 1, (/ (- (- f) n) (- f n)), (/ 1 (+ (sqrt n) (sqrt f))), (/ (- (- f) n) (- (sqrt f) (sqrt n))), 1, (/ (- (- f) n) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (- f) n) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (- f) n) (sqrt (- f n))), 1, (/ (- (- f) n) (- f n)), (/ 1 (+ (sqrt n) (sqrt f))), (/ (- (- f) n) (- (sqrt f) (sqrt n))), 1, (/ (- (- f) n) (- f n)), (/ 1 (- f n)), (/ (- f n) (- (- f) n)), (/ (+ n f) (- f n)), (/ (/ (- (- f) n) (cbrt (- f n))) (cbrt (- f n))), (/ (- (- f) n) (sqrt (- f n))), (- (- f) n), (/ (- (- f) n) (+ (sqrt n) (sqrt f))), (- (- f) n), (/ (- f n) (cbrt (- (- f) n))), (/ (- f n) (sqrt (- (- f) n))), (/ (- f n) (- (- f) n)), (/ (- f n) (+ n f)), (/ (- f n) (cbrt (+ n f))), (/ (- f n) (sqrt (+ n f))), (/ (- f n) (+ n f)), (/ (- f n) (+ n f)), (/ (- f n) (- (cbrt (+ n f)))), (/ (- f n) (- (sqrt (+ n f)))), (/ (- f n) (- (- f) n)), (/ (- f n) (- (- f) n)), (- (/ (+ n f) (- (* f (* f f)) (* (* n n) n)))), (- (/ 1 (- f n))), (* (- f n) (fma f f (* (- n f) n))), (* (- f n) (- f n)), (real->posit16 (/ (- (- f) n) (- f n))), 1, -1, -1 1.962 * * * [progress]: adding candidates to table 2.850 * * [progress]: iteration 2 / 4 2.850 * * * [progress]: picking best candidate 2.868 * * * * [pick]: Picked # 2.868 * * * [progress]: localizing error 2.890 * * * [progress]: generating rewritten candidates 2.890 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.923 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.957 * * * [progress]: generating series expansions 2.957 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.958 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 2.958 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 2.958 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 2.958 * [taylor]: Taking taylor expansion of (- f n) in n 2.958 * [taylor]: Taking taylor expansion of f in n 2.958 * [backup-simplify]: Simplify f into f 2.958 * [taylor]: Taking taylor expansion of n in n 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [taylor]: Taking taylor expansion of (+ n f) in n 2.958 * [taylor]: Taking taylor expansion of n in n 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [taylor]: Taking taylor expansion of f in n 2.958 * [backup-simplify]: Simplify f into f 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify (+ f 0) into f 2.959 * [backup-simplify]: Simplify (+ 0 f) into f 2.959 * [backup-simplify]: Simplify (/ f f) into 1 2.959 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.959 * [taylor]: Taking taylor expansion of (- f n) in f 2.959 * [taylor]: Taking taylor expansion of f in f 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [taylor]: Taking taylor expansion of n in f 2.959 * [backup-simplify]: Simplify n into n 2.959 * [taylor]: Taking taylor expansion of (+ n f) in f 2.959 * [taylor]: Taking taylor expansion of n in f 2.959 * [backup-simplify]: Simplify n into n 2.959 * [taylor]: Taking taylor expansion of f in f 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (- n) into (- n) 2.959 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.959 * [backup-simplify]: Simplify (+ n 0) into n 2.959 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.959 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.959 * [taylor]: Taking taylor expansion of (- f n) in f 2.959 * [taylor]: Taking taylor expansion of f in f 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [taylor]: Taking taylor expansion of n in f 2.959 * [backup-simplify]: Simplify n into n 2.959 * [taylor]: Taking taylor expansion of (+ n f) in f 2.960 * [taylor]: Taking taylor expansion of n in f 2.960 * [backup-simplify]: Simplify n into n 2.960 * [taylor]: Taking taylor expansion of f in f 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (- n) into (- n) 2.960 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.960 * [backup-simplify]: Simplify (+ n 0) into n 2.960 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.960 * [taylor]: Taking taylor expansion of -1 in n 2.960 * [backup-simplify]: Simplify -1 into -1 2.960 * [backup-simplify]: Simplify -1 into -1 2.960 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify (+ 1 0) into 1 2.961 * [backup-simplify]: Simplify (+ 0 1) into 1 2.961 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 2.961 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.961 * [taylor]: Taking taylor expansion of 2 in n 2.962 * [backup-simplify]: Simplify 2 into 2 2.962 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.962 * [taylor]: Taking taylor expansion of n in n 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 2.965 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.965 * [taylor]: Taking taylor expansion of 2 in n 2.965 * [backup-simplify]: Simplify 2 into 2 2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.965 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.965 * [taylor]: Taking taylor expansion of n in n 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.978 * [backup-simplify]: Simplify (- 0) into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.980 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify (- 0) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 2.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.982 * [taylor]: Taking taylor expansion of 2 in n 2.982 * [backup-simplify]: Simplify 2 into 2 2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.982 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.982 * [taylor]: Taking taylor expansion of n in n 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify -1 into -1 2.994 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 2.994 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.994 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 2.994 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.994 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.994 * [taylor]: Taking taylor expansion of f in n 2.994 * [backup-simplify]: Simplify f into f 2.994 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.994 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.994 * [taylor]: Taking taylor expansion of n in n 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (/ 1 1) into 1 2.995 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.995 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.995 * [taylor]: Taking taylor expansion of f in n 2.995 * [backup-simplify]: Simplify f into f 2.995 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.995 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.995 * [taylor]: Taking taylor expansion of n in n 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [backup-simplify]: Simplify (- 1) into -1 2.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.997 * [backup-simplify]: Simplify (+ 0 1) into 1 2.997 * [backup-simplify]: Simplify (/ -1 1) into -1 2.997 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.997 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.997 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.997 * [taylor]: Taking taylor expansion of f in f 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (/ 1 1) into 1 2.998 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.998 * [taylor]: Taking taylor expansion of n in f 2.998 * [backup-simplify]: Simplify n into n 2.998 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.998 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.998 * [taylor]: Taking taylor expansion of f in f 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (/ 1 1) into 1 2.998 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.999 * [taylor]: Taking taylor expansion of n in f 2.999 * [backup-simplify]: Simplify n into n 2.999 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.999 * [backup-simplify]: Simplify (+ 1 0) into 1 2.999 * [backup-simplify]: Simplify (+ 1 0) into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.000 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.000 * [taylor]: Taking taylor expansion of f in f 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.000 * [taylor]: Taking taylor expansion of n in f 3.001 * [backup-simplify]: Simplify n into n 3.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.001 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.001 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.001 * [taylor]: Taking taylor expansion of f in f 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.001 * [taylor]: Taking taylor expansion of n in f 3.001 * [backup-simplify]: Simplify n into n 3.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.002 * [backup-simplify]: Simplify (+ 1 0) into 1 3.002 * [backup-simplify]: Simplify (+ 1 0) into 1 3.003 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [taylor]: Taking taylor expansion of 1 in n 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.004 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.005 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.005 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.005 * [taylor]: Taking taylor expansion of 2 in n 3.005 * [backup-simplify]: Simplify 2 into 2 3.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.005 * [taylor]: Taking taylor expansion of n in n 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.007 * [backup-simplify]: Simplify (- 0) into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.012 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.012 * [taylor]: Taking taylor expansion of 2 in n 3.012 * [backup-simplify]: Simplify 2 into 2 3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.012 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.012 * [taylor]: Taking taylor expansion of n in n 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (* 1 1) into 1 3.013 * [backup-simplify]: Simplify (/ 1 1) into 1 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.020 * [backup-simplify]: Simplify (- 0) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.025 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.026 * [taylor]: Taking taylor expansion of 2 in n 3.026 * [backup-simplify]: Simplify 2 into 2 3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.026 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.026 * [taylor]: Taking taylor expansion of n in n 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (* 1 1) into 1 3.026 * [backup-simplify]: Simplify (* 1 1) into 1 3.027 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (- 0) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.033 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.033 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.033 * [taylor]: Taking taylor expansion of -1 in n 3.033 * [backup-simplify]: Simplify -1 into -1 3.033 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.033 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.033 * [taylor]: Taking taylor expansion of n in n 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.034 * [taylor]: Taking taylor expansion of f in n 3.034 * [backup-simplify]: Simplify f into f 3.034 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.034 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.034 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.034 * [taylor]: Taking taylor expansion of f in n 3.034 * [backup-simplify]: Simplify f into f 3.034 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.034 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.034 * [taylor]: Taking taylor expansion of n in n 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [backup-simplify]: Simplify (+ 1 0) into 1 3.035 * [backup-simplify]: Simplify (+ 0 1) into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.035 * [taylor]: Taking taylor expansion of -1 in f 3.035 * [backup-simplify]: Simplify -1 into -1 3.035 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.035 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.035 * [taylor]: Taking taylor expansion of n in f 3.035 * [backup-simplify]: Simplify n into n 3.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.035 * [taylor]: Taking taylor expansion of f in f 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.035 * [taylor]: Taking taylor expansion of f in f 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify (/ 1 1) into 1 3.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.036 * [taylor]: Taking taylor expansion of n in f 3.036 * [backup-simplify]: Simplify n into n 3.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.036 * [backup-simplify]: Simplify (- 1) into -1 3.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.037 * [backup-simplify]: Simplify (+ 1 0) into 1 3.037 * [backup-simplify]: Simplify (/ -1 1) into -1 3.037 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.037 * [taylor]: Taking taylor expansion of -1 in f 3.037 * [backup-simplify]: Simplify -1 into -1 3.037 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.037 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.037 * [taylor]: Taking taylor expansion of n in f 3.037 * [backup-simplify]: Simplify n into n 3.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.037 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.037 * [taylor]: Taking taylor expansion of f in f 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 3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.037 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.037 * [taylor]: Taking taylor expansion of f in f 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.038 * [taylor]: Taking taylor expansion of n in f 3.038 * [backup-simplify]: Simplify n into n 3.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.038 * [backup-simplify]: Simplify (- 1) into -1 3.038 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.039 * [backup-simplify]: Simplify (+ 1 0) into 1 3.039 * [backup-simplify]: Simplify (/ -1 1) into -1 3.039 * [backup-simplify]: Simplify (* -1 -1) into 1 3.039 * [taylor]: Taking taylor expansion of 1 in n 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- 0) into 0 3.040 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.041 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.041 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.041 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.041 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.041 * [taylor]: Taking taylor expansion of 2 in n 3.041 * [backup-simplify]: Simplify 2 into 2 3.041 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.041 * [taylor]: Taking taylor expansion of n in n 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 1)))) into 0 3.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (- 0) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (- 0) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.045 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.046 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.046 * [taylor]: Taking taylor expansion of 2 in n 3.046 * [backup-simplify]: Simplify 2 into 2 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.046 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.046 * [taylor]: Taking taylor expansion of n in n 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (* 1 1) into 1 3.047 * [backup-simplify]: Simplify (/ 1 1) into 1 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.050 * [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 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (- 0) into 0 3.052 * [backup-simplify]: Simplify (+ 0 0) into 0 3.052 * [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 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [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))) 3.054 * [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)))) 3.054 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.054 * [taylor]: Taking taylor expansion of 2 in n 3.054 * [backup-simplify]: Simplify 2 into 2 3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.054 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.054 * [taylor]: Taking taylor expansion of n in n 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (* 1 1) into 1 3.055 * [backup-simplify]: Simplify (* 1 1) into 1 3.055 * [backup-simplify]: Simplify (/ 1 1) into 1 3.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (- 0) into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.061 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.061 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.061 * [taylor]: Taking taylor expansion of -1 in n 3.061 * [backup-simplify]: Simplify -1 into -1 3.061 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.061 * [taylor]: Taking taylor expansion of (+ n f) in n 3.061 * [taylor]: Taking taylor expansion of n in n 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [taylor]: Taking taylor expansion of f in n 3.061 * [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 3.062 * [backup-simplify]: Simplify (- 0) into 0 3.062 * [backup-simplify]: Simplify (+ f 0) into f 3.062 * [backup-simplify]: Simplify (/ f f) into 1 3.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.062 * [taylor]: Taking taylor expansion of -1 in f 3.062 * [backup-simplify]: Simplify -1 into -1 3.062 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.062 * [taylor]: Taking taylor expansion of (+ n f) in f 3.062 * [taylor]: Taking taylor expansion of n in f 3.062 * [backup-simplify]: Simplify n into n 3.062 * [taylor]: Taking taylor expansion of f in f 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [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 3.065 * [backup-simplify]: Simplify (- 0) into 0 3.065 * [backup-simplify]: Simplify (+ 1 0) into 1 3.066 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.066 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.066 * [taylor]: Taking taylor expansion of 2 in n 3.066 * [backup-simplify]: Simplify 2 into 2 3.066 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.066 * [taylor]: Taking taylor expansion of n in n 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (/ 1 1) into 1 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (- 0) into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.070 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.071 * [taylor]: Taking taylor expansion of 2 in n 3.071 * [backup-simplify]: Simplify 2 into 2 3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.071 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.071 * [taylor]: Taking taylor expansion of n in n 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.071 * [backup-simplify]: Simplify (/ 1 1) into 1 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (- 0) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.080 * [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)))) 3.080 * [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))) 3.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.081 * [taylor]: Taking taylor expansion of 2 in n 3.081 * [backup-simplify]: Simplify 2 into 2 3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.081 * [taylor]: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.090 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.090 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.090 * [taylor]: Taking taylor expansion of -1 in n 3.090 * [backup-simplify]: Simplify -1 into -1 3.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.090 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.090 * [taylor]: Taking taylor expansion of f in n 3.090 * [backup-simplify]: Simplify f into f 3.090 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 3.091 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.091 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.091 * [taylor]: Taking taylor expansion of f in n 3.091 * [backup-simplify]: Simplify f into f 3.091 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.091 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.091 * [taylor]: Taking taylor expansion of n in n 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.091 * [backup-simplify]: Simplify (+ 0 1) into 1 3.092 * [backup-simplify]: Simplify (- 1) into -1 3.092 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.092 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.092 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.092 * [taylor]: Taking taylor expansion of -1 in f 3.092 * [backup-simplify]: Simplify -1 into -1 3.092 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.092 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.092 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.092 * [taylor]: Taking taylor expansion of f in f 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (/ 1 1) into 1 3.093 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.093 * [taylor]: Taking taylor expansion of n in f 3.093 * [backup-simplify]: Simplify n into n 3.093 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.093 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.093 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.093 * [taylor]: Taking taylor expansion of f in f 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (/ 1 1) into 1 3.093 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.093 * [taylor]: Taking taylor expansion of n in f 3.093 * [backup-simplify]: Simplify n into n 3.093 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.093 * [backup-simplify]: Simplify (+ 1 0) into 1 3.094 * [backup-simplify]: Simplify (+ 1 0) into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.094 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.094 * [taylor]: Taking taylor expansion of -1 in f 3.094 * [backup-simplify]: Simplify -1 into -1 3.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.094 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.094 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.094 * [taylor]: Taking taylor expansion of f in f 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.094 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.094 * [taylor]: Taking taylor expansion of n in f 3.094 * [backup-simplify]: Simplify n into n 3.094 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.094 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.094 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.094 * [taylor]: Taking taylor expansion of f in f 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.095 * [taylor]: Taking taylor expansion of n in f 3.095 * [backup-simplify]: Simplify n into n 3.095 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.101 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [backup-simplify]: Simplify (* -1 1) into -1 3.101 * [taylor]: Taking taylor expansion of -1 in n 3.101 * [backup-simplify]: Simplify -1 into -1 3.101 * [backup-simplify]: Simplify -1 into -1 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.102 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.102 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.103 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.103 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.103 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.103 * [taylor]: Taking taylor expansion of 2 in n 3.103 * [backup-simplify]: Simplify 2 into 2 3.103 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.103 * [taylor]: Taking taylor expansion of n in n 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.104 * [backup-simplify]: Simplify (- 0) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.105 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.107 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.108 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.108 * [taylor]: Taking taylor expansion of 2 in n 3.108 * [backup-simplify]: Simplify 2 into 2 3.108 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.108 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.108 * [taylor]: Taking taylor expansion of n in n 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (* 1 1) into 1 3.108 * [backup-simplify]: Simplify (/ 1 1) into 1 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.111 * [backup-simplify]: Simplify (- 0) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.112 * [backup-simplify]: Simplify (- 0) into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.114 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.116 * [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)))) 3.116 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.116 * [taylor]: Taking taylor expansion of 2 in n 3.116 * [backup-simplify]: Simplify 2 into 2 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.116 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.116 * [taylor]: Taking taylor expansion of n in n 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (- 0) into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify -1 into -1 3.125 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.125 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.125 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.125 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.125 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.125 * [taylor]: Taking taylor expansion of f in n 3.125 * [backup-simplify]: Simplify f into f 3.125 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.125 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.125 * [taylor]: Taking taylor expansion of n in n 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.126 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.126 * [taylor]: Taking taylor expansion of n in n 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 f) in n 3.126 * [taylor]: Taking taylor expansion of f in n 3.126 * [backup-simplify]: Simplify f into f 3.126 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.127 * [backup-simplify]: Simplify (+ 0 1) into 1 3.127 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.128 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.128 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.128 * [taylor]: Taking taylor expansion of f in f 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.128 * [taylor]: Taking taylor expansion of n in f 3.128 * [backup-simplify]: Simplify n into n 3.128 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.128 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.128 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.128 * [taylor]: Taking taylor expansion of n in f 3.128 * [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 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [backup-simplify]: Simplify (+ 1 0) into 1 3.130 * [backup-simplify]: Simplify (- 1) into -1 3.130 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.131 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.131 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.131 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.131 * [taylor]: Taking taylor expansion of f in f 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (/ 1 1) into 1 3.131 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.131 * [taylor]: Taking taylor expansion of n in f 3.131 * [backup-simplify]: Simplify n into n 3.131 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.131 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.131 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.131 * [taylor]: Taking taylor expansion of n in f 3.131 * [backup-simplify]: Simplify n into n 3.132 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.132 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.132 * [taylor]: Taking taylor expansion of f in f 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (/ 1 1) into 1 3.132 * [backup-simplify]: Simplify (+ 1 0) into 1 3.133 * [backup-simplify]: Simplify (- 1) into -1 3.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.134 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.134 * [taylor]: Taking taylor expansion of -1 in n 3.134 * [backup-simplify]: Simplify -1 into -1 3.134 * [backup-simplify]: Simplify -1 into -1 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (- 0) into 0 3.136 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.136 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.136 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.136 * [taylor]: Taking taylor expansion of 2 in n 3.136 * [backup-simplify]: Simplify 2 into 2 3.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.136 * [taylor]: Taking taylor expansion of n in n 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.138 * [backup-simplify]: Simplify (- 0) into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (- 0) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.141 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.141 * [taylor]: Taking taylor expansion of 2 in n 3.141 * [backup-simplify]: Simplify 2 into 2 3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.141 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.141 * [taylor]: Taking taylor expansion of n in n 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (* 1 1) into 1 3.141 * [backup-simplify]: Simplify (/ 1 1) into 1 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [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]: simplifying candidates 3.155 * * * * [progress]: [ 1 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 2 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 3 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 4 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 5 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 6 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 7 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 8 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 9 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 10 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 11 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 12 / 180 ] simplifiying candidate # 3.155 * * * * [progress]: [ 13 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 14 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 15 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 16 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 17 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 18 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 19 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 20 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 21 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 22 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 23 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 24 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 25 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 26 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 27 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 28 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 29 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 30 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 31 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 32 / 180 ] simplifiying candidate # 3.156 * * * * [progress]: [ 33 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 34 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 35 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 36 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 37 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 38 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 39 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 40 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 41 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 42 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 43 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 44 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 45 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 46 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 47 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 48 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 49 / 180 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))> 3.157 * * * * [progress]: [ 50 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 51 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 52 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 53 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 54 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 55 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 56 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 57 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 58 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 59 / 180 ] simplifiying candidate # 3.157 * * * * [progress]: [ 60 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 61 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 62 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 63 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 64 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 65 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 66 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 67 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 68 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 69 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 70 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 71 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 72 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 73 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 74 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 75 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 76 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 77 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 78 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 79 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 80 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 81 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 82 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 83 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 84 / 180 ] simplifiying candidate # 3.158 * * * * [progress]: [ 85 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 86 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 87 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 88 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 89 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 90 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 91 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 92 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 93 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 94 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 95 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 96 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 97 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 98 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 99 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 100 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 101 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 102 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 103 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 104 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 105 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 106 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 107 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 108 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 109 / 180 ] simplifiying candidate # 3.159 * * * * [progress]: [ 110 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 111 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 112 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 113 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 114 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 115 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 116 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 117 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 118 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 119 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 120 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 121 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 122 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 123 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 124 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 125 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 126 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 127 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 128 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 129 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 130 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 131 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 132 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 133 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 134 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 135 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 136 / 180 ] simplifiying candidate # 3.160 * * * * [progress]: [ 137 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 138 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 139 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 140 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 141 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: 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simplifiying candidate # 3.161 * * * * [progress]: [ 158 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 159 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 160 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 161 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 162 / 180 ] simplifiying candidate # 3.161 * * * * [progress]: [ 163 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 164 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 165 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 166 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 167 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 168 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 169 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 170 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 171 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 172 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 173 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 174 / 180 ] simplifiying candidate #real (real->posit16 (/ -1 (/ (- f n) (+ f n))))))> 3.162 * * * * [progress]: [ 175 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 176 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 177 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 178 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 179 / 180 ] simplifiying candidate # 3.162 * * * * [progress]: [ 180 / 180 ] simplifiying candidate # 3.164 * [simplify]: Simplifying (expm1 (/ (- f n) (+ f n))), (log1p (/ (- f n) (+ f n))), (- (log (- f n)) (log (+ f n))), (log (/ (- f n) (+ f n))), (exp (/ (- f n) (+ f n))), (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))), (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))), (cbrt (/ (- f n) (+ f n))), (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))), (sqrt (/ (- f n) (+ f n))), (sqrt (/ (- f n) (+ f n))), (- (- f n)), (- (+ f n)), (/ f (+ f n)), (/ n (+ f n)), (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (cbrt (- f n)) (cbrt (+ f n))), (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))), (/ (cbrt (- f n)) (sqrt (+ f n))), (/ (* (cbrt (- f n)) (cbrt (- f n))) 1), (/ (cbrt (- f n)) (+ f n)), (/ (* (cbrt (- f n)) (cbrt (- f n))) 1), (/ (cbrt (- f n)) (+ f n)), (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (sqrt (- f n)) (cbrt (+ f n))), (/ (sqrt (- f n)) (sqrt (+ f n))), (/ (sqrt (- f n)) (sqrt (+ f n))), (/ (sqrt (- f n)) 1), (/ (sqrt (- f n)) (+ f n)), (/ (sqrt (- f n)) 1), (/ (sqrt (- f n)) (+ f n)), (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- f n) (cbrt (+ f n))), (/ 1 (sqrt (+ f n))), (/ (- f n) (sqrt (+ f n))), (/ 1 1), (/ (- f n) (+ f n)), (/ 1 1), (/ (- f n) (+ f n)), (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))), (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))), (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))), (/ (+ (sqrt f) (sqrt n)) 1), (/ (- (sqrt f) (sqrt n)) (+ f n)), (/ (+ (sqrt f) (sqrt n)) 1), (/ (- (sqrt f) (sqrt n)) (+ f n)), (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- f n) (cbrt (+ f n))), (/ 1 (sqrt (+ f n))), (/ (- f n) (sqrt (+ f n))), (/ 1 1), (/ (- f n) (+ f n)), (/ 1 1), (/ (- f n) (+ f n)), (/ 1 (+ f n)), (/ (+ f n) (- f n)), (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- f n) (sqrt (+ f n))), (/ (- f n) 1), (/ (- f n) 1), (/ (+ f n) (cbrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ (+ f n) (- f n)), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ (+ f n) (- f n)), (/ (- f n) (+ (pow f 3) (pow n 3))), (/ (- f n) (- (* f f) (* n n))), (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))), (* (+ f n) (+ f n)), (real->posit16 (/ (- f n) (+ f n))), (expm1 (/ -1 (/ (- f n) (+ f n)))), (log1p (/ -1 (/ (- f n) (+ f n)))), (- (log -1) (- (log (- f n)) (log (+ f n)))), (- (log -1) (log (/ (- f n) (+ f n)))), (log (/ -1 (/ (- f n) (+ f n)))), (exp (/ -1 (/ (- f n) (+ f n)))), (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))), (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))), (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))), (cbrt (/ -1 (/ (- f n) (+ f n)))), (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))), (sqrt (/ -1 (/ (- f n) (+ f n)))), (sqrt (/ -1 (/ (- f n) (+ f n)))), (- -1), (- (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))), (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))), (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))), (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)), (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)), (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))), (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))), (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) 1), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (- f n)), (/ (cbrt -1) (/ 1 (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))), (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))), (/ (cbrt -1) (- f n)), (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))), (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))), (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))), (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))), (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))), (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (sqrt (- f n)) 1)), (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (sqrt -1) (/ (sqrt (- f n)) 1)), (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))), (/ (sqrt -1) (/ 1 (sqrt (+ f n)))), (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))), (/ (sqrt -1) (/ 1 1)), (/ (sqrt -1) (/ (- f n) (+ f n))), (/ (sqrt -1) (/ 1 1)), (/ (sqrt -1) (/ (- f n) (+ f n))), (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))), (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)), (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))), (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)), (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))), (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (- f n) (cbrt (+ f 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n) (cbrt (+ f n)))), (/ 1 (/ 1 (sqrt (+ f n)))), (/ -1 (/ (- f n) (sqrt (+ f n)))), (/ 1 (/ 1 1)), (/ -1 (/ (- f n) (+ f n))), (/ 1 (/ 1 1)), (/ -1 (/ (- f n) (+ f n))), (/ 1 1), (/ -1 (/ (- f n) (+ f n))), (/ 1 (- f n)), (/ -1 (/ 1 (+ f n))), (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))), (/ -1 (+ (* f f) (- (* n n) (* f n)))), (/ 1 (/ (- f n) (- (* f f) (* n n)))), (/ -1 (- f n)), (/ 1 (/ (- f n) (+ f n))), (/ (/ (- f n) (+ f n)) -1), (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))), (/ -1 (sqrt (/ (- f n) (+ f n)))), (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))), (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ -1 (/ (sqrt (- f n)) 1)), (/ -1 (/ (sqrt (- f n)) 1)), (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ -1 (/ 1 (sqrt (+ f n)))), (/ -1 (/ 1 1)), (/ -1 (/ 1 1)), (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)), (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)), (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ -1 (/ 1 (sqrt (+ f n)))), (/ -1 (/ 1 1)), (/ -1 (/ 1 1)), (/ -1 1), (/ -1 (- f n)), (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))), (/ -1 (/ (- f n) (- (* f f) (* n n)))), (/ (/ (- f n) (+ f n)) (cbrt -1)), (/ (/ (- f n) (+ f n)) (sqrt -1)), (/ (/ (- f n) (+ f n)) -1), (/ -1 (- f n)), (real->posit16 (/ -1 (/ (- f n) (+ f n)))), -1, 1, 1, 1, -1, -1 3.169 * * [simplify]: iteration 1: (225 enodes) 3.323 * * [simplify]: iteration 2: (997 enodes) 3.679 * * [simplify]: Extracting #0: cost 175 inf + 0 3.681 * * [simplify]: Extracting #1: cost 834 inf + 2 3.684 * * [simplify]: Extracting #2: cost 1033 inf + 2409 3.698 * * [simplify]: Extracting #3: cost 853 inf + 30938 3.741 * * [simplify]: Extracting #4: cost 318 inf + 146078 3.814 * * [simplify]: Extracting #5: cost 18 inf + 223358 3.890 * * [simplify]: Extracting #6: cost 0 inf + 227847 3.967 * [simplify]: Simplified to (expm1 (/ (- f n) (+ n f))), (log1p (/ (- f n) (+ n f))), (log (/ (- f n) (+ n f))), (log (/ (- f n) (+ n f))), (exp (/ (- f n) (+ n f))), (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))), (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))), (cbrt (/ (- f n) (+ n f))), (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))), (sqrt (/ (- f n) (+ n f))), (sqrt (/ (- f n) (+ n f))), (- (- f n)), (- (+ n f)), (/ f (+ n f)), (/ n (+ n f)), (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))), (/ (cbrt (- f n)) (cbrt (+ n f))), (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))), (/ (cbrt (- f n)) (sqrt (+ n f))), (* (cbrt (- f n)) (cbrt (- f n))), (/ (cbrt (- f n)) (+ n f)), (* (cbrt (- f n)) (cbrt (- f n))), (/ (cbrt (- f n)) (+ n f)), (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt 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n) (sqrt f))), (/ -1 (+ (sqrt n) (sqrt f))), (- (* (cbrt (+ n f)) (cbrt (+ n f)))), (- (sqrt (+ n f))), -1, -1, -1, (/ -1 (- f n)), (/ (* -1 (fma (* n n) n (* (* f f) f))) (- f n)), (* (* (/ -1 (- f n)) (+ n f)) (- f n)), (/ (- f n) (* (+ n f) (cbrt -1))), (/ (/ (- f n) (sqrt -1)) (+ n f)), (/ (- f n) (- (+ n f))), (/ -1 (- f n)), (real->posit16 (/ (- (+ n f)) (- f n))), -1, 1, 1, 1, -1, -1 3.983 * * * [progress]: adding candidates to table 5.511 * * [progress]: iteration 3 / 4 5.511 * * * [progress]: picking best candidate 5.518 * * * * [pick]: Picked # 5.518 * * * [progress]: localizing error 5.542 * * * [progress]: generating rewritten candidates 5.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.611 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.695 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.704 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.726 * * * [progress]: generating series expansions 5.726 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.727 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 5.727 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 5.727 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 5.727 * [taylor]: Taking taylor expansion of -1 in n 5.727 * [backup-simplify]: Simplify -1 into -1 5.727 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 5.727 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.727 * [taylor]: Taking taylor expansion of f in n 5.727 * [backup-simplify]: Simplify f into f 5.727 * [taylor]: Taking taylor expansion of (+ n f) in n 5.727 * [taylor]: Taking taylor expansion of n in n 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 1 into 1 5.727 * [taylor]: Taking taylor expansion of f in n 5.727 * [backup-simplify]: Simplify f into f 5.727 * [backup-simplify]: Simplify (+ 0 f) into f 5.727 * [backup-simplify]: Simplify (/ f f) into 1 5.727 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.727 * [taylor]: Taking taylor expansion of n in n 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 1 into 1 5.727 * [taylor]: Taking taylor expansion of (+ n f) in n 5.727 * [taylor]: Taking taylor expansion of n in n 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 1 into 1 5.727 * [taylor]: Taking taylor expansion of f in n 5.727 * [backup-simplify]: Simplify f into f 5.727 * [backup-simplify]: Simplify (+ 0 f) into f 5.727 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.728 * [backup-simplify]: Simplify (+ 1 0) into 1 5.728 * [backup-simplify]: Simplify (/ -1 1) into -1 5.728 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.728 * [taylor]: Taking taylor expansion of -1 in f 5.728 * [backup-simplify]: Simplify -1 into -1 5.728 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.728 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.728 * [taylor]: Taking taylor expansion of f in f 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [taylor]: Taking taylor expansion of (+ n f) in f 5.728 * [taylor]: Taking taylor expansion of n in f 5.728 * [backup-simplify]: Simplify n into n 5.728 * [taylor]: Taking taylor expansion of f in f 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [backup-simplify]: Simplify (+ n 0) into n 5.728 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.728 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.728 * [taylor]: Taking taylor expansion of n in f 5.728 * [backup-simplify]: Simplify n into n 5.728 * [taylor]: Taking taylor expansion of (+ n f) in f 5.728 * [taylor]: Taking taylor expansion of n in f 5.728 * [backup-simplify]: Simplify n into n 5.728 * [taylor]: Taking taylor expansion of f in f 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [backup-simplify]: Simplify (+ n 0) into n 5.728 * [backup-simplify]: Simplify (/ n n) into 1 5.729 * [backup-simplify]: Simplify (- 1) into -1 5.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.729 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.729 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.729 * [taylor]: Taking taylor expansion of -1 in f 5.729 * [backup-simplify]: Simplify -1 into -1 5.729 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.729 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.729 * [taylor]: Taking taylor expansion of f in f 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [taylor]: Taking taylor expansion of (+ n f) in f 5.729 * [taylor]: Taking taylor expansion of n in f 5.729 * [backup-simplify]: Simplify n into n 5.729 * [taylor]: Taking taylor expansion of f in f 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (+ n 0) into n 5.730 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.730 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.730 * [taylor]: Taking taylor expansion of n in f 5.730 * [backup-simplify]: Simplify n into n 5.730 * [taylor]: Taking taylor expansion of (+ n f) in f 5.730 * [taylor]: Taking taylor expansion of n in f 5.730 * [backup-simplify]: Simplify n into n 5.730 * [taylor]: Taking taylor expansion of f in f 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (+ n 0) into n 5.730 * [backup-simplify]: Simplify (/ n n) into 1 5.730 * [backup-simplify]: Simplify (- 1) into -1 5.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.731 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.731 * [taylor]: Taking taylor expansion of 1 in n 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify (+ 0 1) into 1 5.731 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 5.731 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 5.731 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 5.732 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 5.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.732 * [taylor]: Taking taylor expansion of 2 in n 5.732 * [backup-simplify]: Simplify 2 into 2 5.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.732 * [taylor]: Taking taylor expansion of n in n 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [backup-simplify]: Simplify (/ 1 1) into 1 5.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify (+ 0 1) into 1 5.733 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.734 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 5.734 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 5.734 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 5.734 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 5.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.734 * [taylor]: Taking taylor expansion of 2 in n 5.734 * [backup-simplify]: Simplify 2 into 2 5.734 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.734 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.734 * [taylor]: Taking taylor expansion of n in n 5.735 * [backup-simplify]: Simplify 0 into 0 5.735 * [backup-simplify]: Simplify 1 into 1 5.735 * [backup-simplify]: Simplify (* 1 1) into 1 5.735 * [backup-simplify]: Simplify (/ 1 1) into 1 5.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.737 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify (+ 0 0) into 0 5.739 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.739 * [backup-simplify]: Simplify (+ 0 0) into 0 5.740 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 5.740 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 5.740 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 5.740 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 5.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.740 * [taylor]: Taking taylor expansion of 2 in n 5.740 * [backup-simplify]: Simplify 2 into 2 5.740 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.740 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.740 * [taylor]: Taking taylor expansion of n in n 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.741 * [backup-simplify]: Simplify (* 1 1) into 1 5.741 * [backup-simplify]: Simplify (* 1 1) into 1 5.741 * [backup-simplify]: Simplify (/ 1 1) into 1 5.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 1 into 1 5.752 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.752 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.752 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.752 * [taylor]: Taking taylor expansion of -1 in n 5.752 * [backup-simplify]: Simplify -1 into -1 5.753 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.753 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.753 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.753 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.753 * [taylor]: Taking taylor expansion of f in n 5.753 * [backup-simplify]: Simplify f into f 5.753 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.753 * [taylor]: Taking taylor expansion of n in n 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [backup-simplify]: Simplify (/ 1 1) into 1 5.753 * [taylor]: Taking taylor expansion of f in n 5.753 * [backup-simplify]: Simplify f into f 5.753 * [backup-simplify]: Simplify (+ 0 1) into 1 5.753 * [backup-simplify]: Simplify (* 1 f) into f 5.754 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.754 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.754 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.754 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.754 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.754 * [taylor]: Taking taylor expansion of f in n 5.754 * [backup-simplify]: Simplify f into f 5.754 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.754 * [taylor]: Taking taylor expansion of n in n 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (/ 1 1) into 1 5.754 * [taylor]: Taking taylor expansion of n in n 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (+ 0 1) into 1 5.755 * [backup-simplify]: Simplify (* 1 0) into 0 5.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.755 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.755 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.756 * [backup-simplify]: Simplify (/ 1 1) into 1 5.756 * [backup-simplify]: Simplify (- 1) into -1 5.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.756 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.756 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.757 * [taylor]: Taking taylor expansion of -1 in f 5.757 * [backup-simplify]: Simplify -1 into -1 5.757 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.757 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.757 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.757 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.757 * [taylor]: Taking taylor expansion of f in f 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (/ 1 1) into 1 5.757 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.757 * [taylor]: Taking taylor expansion of n in f 5.757 * [backup-simplify]: Simplify n into n 5.757 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.757 * [taylor]: Taking taylor expansion of f in f 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (+ 1 0) into 1 5.758 * [backup-simplify]: Simplify (* 1 0) into 0 5.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.758 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.759 * [backup-simplify]: Simplify (/ 1 1) into 1 5.759 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.759 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.759 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.759 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.759 * [taylor]: Taking taylor expansion of f in f 5.759 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (/ 1 1) into 1 5.759 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.759 * [taylor]: Taking taylor expansion of n in f 5.759 * [backup-simplify]: Simplify n into n 5.759 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.759 * [taylor]: Taking taylor expansion of n in f 5.759 * [backup-simplify]: Simplify n into n 5.759 * [backup-simplify]: Simplify (+ 1 0) into 1 5.759 * [backup-simplify]: Simplify (* 1 n) into n 5.760 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.760 * [backup-simplify]: Simplify (+ 1 0) into 1 5.760 * [backup-simplify]: Simplify (/ -1 1) into -1 5.760 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.760 * [taylor]: Taking taylor expansion of -1 in f 5.760 * [backup-simplify]: Simplify -1 into -1 5.760 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.760 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.760 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.760 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.760 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.760 * [taylor]: Taking taylor expansion of f in f 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.761 * [taylor]: Taking taylor expansion of n in f 5.761 * [backup-simplify]: Simplify n into n 5.761 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.761 * [taylor]: Taking taylor expansion of f in f 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (+ 1 0) into 1 5.761 * [backup-simplify]: Simplify (* 1 0) into 0 5.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.762 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.762 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.762 * [backup-simplify]: Simplify (/ 1 1) into 1 5.762 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.762 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.762 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.762 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.762 * [taylor]: Taking taylor expansion of f in f 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.763 * [taylor]: Taking taylor expansion of n in f 5.763 * [backup-simplify]: Simplify n into n 5.763 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.763 * [taylor]: Taking taylor expansion of n in f 5.763 * [backup-simplify]: Simplify n into n 5.763 * [backup-simplify]: Simplify (+ 1 0) into 1 5.763 * [backup-simplify]: Simplify (* 1 n) into n 5.763 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.763 * [backup-simplify]: Simplify (+ 1 0) into 1 5.764 * [backup-simplify]: Simplify (/ -1 1) into -1 5.764 * [taylor]: Taking taylor expansion of -1 in n 5.764 * [backup-simplify]: Simplify -1 into -1 5.764 * [backup-simplify]: Simplify -1 into -1 5.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.765 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.765 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.766 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.766 * [taylor]: Taking taylor expansion of 2 in n 5.766 * [backup-simplify]: Simplify 2 into 2 5.766 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.766 * [taylor]: Taking taylor expansion of n in n 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (/ 1 1) into 1 5.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.767 * [backup-simplify]: Simplify (- 0) into 0 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.768 * [backup-simplify]: Simplify (+ 0 0) into 0 5.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.770 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.771 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.771 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.771 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.771 * [taylor]: Taking taylor expansion of 2 in n 5.771 * [backup-simplify]: Simplify 2 into 2 5.771 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.771 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.771 * [taylor]: Taking taylor expansion of n in n 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (* 1 1) into 1 5.772 * [backup-simplify]: Simplify (/ 1 1) into 1 5.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.775 * [backup-simplify]: Simplify (- 0) into 0 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.776 * [backup-simplify]: Simplify (- 0) into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.777 * [backup-simplify]: Simplify (+ 0 0) into 0 5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.780 * [backup-simplify]: Simplify (+ 0 0) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.780 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.780 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.781 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.781 * [taylor]: Taking taylor expansion of 2 in n 5.781 * [backup-simplify]: Simplify 2 into 2 5.781 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.781 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.781 * [taylor]: Taking taylor expansion of n in n 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 1 into 1 5.781 * [backup-simplify]: Simplify (* 1 1) into 1 5.782 * [backup-simplify]: Simplify (* 1 1) into 1 5.782 * [backup-simplify]: Simplify (/ 1 1) into 1 5.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.787 * [backup-simplify]: Simplify (- 0) into 0 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify -1 into -1 5.788 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.788 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.788 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.788 * [taylor]: Taking taylor expansion of -1 in n 5.788 * [backup-simplify]: Simplify -1 into -1 5.788 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.788 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.788 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.788 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.788 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.788 * [taylor]: Taking taylor expansion of f in n 5.788 * [backup-simplify]: Simplify f into f 5.788 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.788 * [taylor]: Taking taylor expansion of n in n 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 1 into 1 5.788 * [backup-simplify]: Simplify (/ 1 1) into 1 5.788 * [taylor]: Taking taylor expansion of f in n 5.788 * [backup-simplify]: Simplify f into f 5.789 * [backup-simplify]: Simplify (+ 0 1) into 1 5.789 * [backup-simplify]: Simplify (* 1 f) into f 5.789 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.789 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.789 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.789 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.789 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.789 * [taylor]: Taking taylor expansion of f in n 5.789 * [backup-simplify]: Simplify f into f 5.789 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.789 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.789 * [taylor]: Taking taylor expansion of n in n 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.789 * [backup-simplify]: Simplify (/ 1 1) into 1 5.789 * [taylor]: Taking taylor expansion of n in n 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (+ 0 1) into 1 5.790 * [backup-simplify]: Simplify (* 1 0) into 0 5.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.790 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.791 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.791 * [backup-simplify]: Simplify (/ 1 1) into 1 5.791 * [backup-simplify]: Simplify (- 1) into -1 5.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.792 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.792 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.792 * [taylor]: Taking taylor expansion of -1 in f 5.792 * [backup-simplify]: Simplify -1 into -1 5.792 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.792 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.792 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.792 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.792 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.792 * [taylor]: Taking taylor expansion of f in f 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (/ 1 1) into 1 5.792 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.792 * [taylor]: Taking taylor expansion of n in f 5.792 * [backup-simplify]: Simplify n into n 5.792 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.792 * [taylor]: Taking taylor expansion of f in f 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (+ 1 0) into 1 5.793 * [backup-simplify]: Simplify (* 1 0) into 0 5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.794 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.794 * [backup-simplify]: Simplify (/ 1 1) into 1 5.794 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.794 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.794 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.794 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.794 * [taylor]: Taking taylor expansion of f in f 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify 1 into 1 5.794 * [backup-simplify]: Simplify (/ 1 1) into 1 5.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.794 * [taylor]: Taking taylor expansion of n in f 5.794 * [backup-simplify]: Simplify n into n 5.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.794 * [taylor]: Taking taylor expansion of n in f 5.794 * [backup-simplify]: Simplify n into n 5.795 * [backup-simplify]: Simplify (+ 1 0) into 1 5.795 * [backup-simplify]: Simplify (* 1 n) into n 5.795 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.795 * [backup-simplify]: Simplify (+ 1 0) into 1 5.795 * [backup-simplify]: Simplify (/ -1 1) into -1 5.795 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.795 * [taylor]: Taking taylor expansion of -1 in f 5.795 * [backup-simplify]: Simplify -1 into -1 5.795 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.795 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.795 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.795 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.795 * [taylor]: Taking taylor expansion of f in f 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (/ 1 1) into 1 5.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.796 * [taylor]: Taking taylor expansion of n in f 5.796 * [backup-simplify]: Simplify n into n 5.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.796 * [taylor]: Taking taylor expansion of f in f 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (+ 1 0) into 1 5.796 * [backup-simplify]: Simplify (* 1 0) into 0 5.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.797 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.798 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.798 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.798 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.798 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.798 * [taylor]: Taking taylor expansion of f in f 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.799 * [taylor]: Taking taylor expansion of n in f 5.799 * [backup-simplify]: Simplify n into n 5.799 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.799 * [taylor]: Taking taylor expansion of n in f 5.799 * [backup-simplify]: Simplify n into n 5.799 * [backup-simplify]: Simplify (+ 1 0) into 1 5.799 * [backup-simplify]: Simplify (* 1 n) into n 5.799 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.800 * [backup-simplify]: Simplify (+ 1 0) into 1 5.800 * [backup-simplify]: Simplify (/ -1 1) into -1 5.800 * [taylor]: Taking taylor expansion of -1 in n 5.800 * [backup-simplify]: Simplify -1 into -1 5.800 * [backup-simplify]: Simplify -1 into -1 5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.802 * [backup-simplify]: Simplify (+ 0 0) into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.803 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.803 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.804 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.804 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.804 * [taylor]: Taking taylor expansion of 2 in n 5.804 * [backup-simplify]: Simplify 2 into 2 5.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.804 * [taylor]: Taking taylor expansion of n in n 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 1 into 1 5.805 * [backup-simplify]: Simplify (/ 1 1) into 1 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.806 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.807 * [backup-simplify]: Simplify (- 0) into 0 5.807 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.809 * [backup-simplify]: Simplify (+ 0 0) into 0 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.811 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.811 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.811 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.811 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.812 * [taylor]: Taking taylor expansion of 2 in n 5.812 * [backup-simplify]: Simplify 2 into 2 5.812 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.812 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.812 * [taylor]: Taking taylor expansion of n in n 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 1 into 1 5.812 * [backup-simplify]: Simplify (* 1 1) into 1 5.812 * [backup-simplify]: Simplify (/ 1 1) into 1 5.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.815 * [backup-simplify]: Simplify (- 0) into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.816 * [backup-simplify]: Simplify (- 0) into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.817 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.820 * [backup-simplify]: Simplify (+ 0 0) into 0 5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.820 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.820 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.821 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.821 * [taylor]: Taking taylor expansion of 2 in n 5.821 * [backup-simplify]: Simplify 2 into 2 5.821 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.821 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.821 * [taylor]: Taking taylor expansion of n in n 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (* 1 1) into 1 5.821 * [backup-simplify]: Simplify (* 1 1) into 1 5.822 * [backup-simplify]: Simplify (/ 1 1) into 1 5.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.827 * [backup-simplify]: Simplify (- 0) into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify -1 into -1 5.827 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.827 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 5.827 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 5.827 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 5.828 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.828 * [taylor]: Taking taylor expansion of f in n 5.828 * [backup-simplify]: Simplify f into f 5.828 * [taylor]: Taking taylor expansion of (+ n f) in n 5.828 * [taylor]: Taking taylor expansion of n in n 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [taylor]: Taking taylor expansion of f in n 5.828 * [backup-simplify]: Simplify f into f 5.828 * [backup-simplify]: Simplify (+ 0 f) into f 5.828 * [backup-simplify]: Simplify (/ f f) into 1 5.828 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.828 * [taylor]: Taking taylor expansion of n in n 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [taylor]: Taking taylor expansion of (+ n f) in n 5.828 * [taylor]: Taking taylor expansion of n in n 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [taylor]: Taking taylor expansion of f in n 5.828 * [backup-simplify]: Simplify f into f 5.828 * [backup-simplify]: Simplify (+ 0 f) into f 5.828 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.828 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.828 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.828 * [taylor]: Taking taylor expansion of f in f 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [taylor]: Taking taylor expansion of (+ n f) in f 5.828 * [taylor]: Taking taylor expansion of n in f 5.828 * [backup-simplify]: Simplify n into n 5.828 * [taylor]: Taking taylor expansion of f in f 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [backup-simplify]: Simplify (+ n 0) into n 5.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.828 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.828 * [taylor]: Taking taylor expansion of n in f 5.828 * [backup-simplify]: Simplify n into n 5.828 * [taylor]: Taking taylor expansion of (+ n f) in f 5.828 * [taylor]: Taking taylor expansion of n in f 5.828 * [backup-simplify]: Simplify n into n 5.828 * [taylor]: Taking taylor expansion of f in f 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [backup-simplify]: Simplify (+ n 0) into n 5.828 * [backup-simplify]: Simplify (/ n n) into 1 5.828 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.828 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.828 * [taylor]: Taking taylor expansion of f in f 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [taylor]: Taking taylor expansion of (+ n f) in f 5.828 * [taylor]: Taking taylor expansion of n in f 5.828 * [backup-simplify]: Simplify n into n 5.828 * [taylor]: Taking taylor expansion of f in f 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (+ n 0) into n 5.829 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.829 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.829 * [taylor]: Taking taylor expansion of n in f 5.829 * [backup-simplify]: Simplify n into n 5.829 * [taylor]: Taking taylor expansion of (+ n f) in f 5.829 * [taylor]: Taking taylor expansion of n in f 5.829 * [backup-simplify]: Simplify n into n 5.829 * [taylor]: Taking taylor expansion of f in f 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (+ n 0) into n 5.829 * [backup-simplify]: Simplify (/ n n) into 1 5.829 * [backup-simplify]: Simplify (- 1) into -1 5.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.829 * [taylor]: Taking taylor expansion of -1 in n 5.829 * [backup-simplify]: Simplify -1 into -1 5.829 * [backup-simplify]: Simplify -1 into -1 5.830 * [backup-simplify]: Simplify (+ 0 1) into 1 5.830 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 5.830 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 5.830 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 5.830 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.830 * [taylor]: Taking taylor expansion of 2 in n 5.830 * [backup-simplify]: Simplify 2 into 2 5.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.830 * [taylor]: Taking taylor expansion of n in n 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.830 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.831 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify (+ 0 1) into 1 5.832 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.832 * [backup-simplify]: Simplify (+ 0 0) into 0 5.832 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 5.832 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 5.832 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 5.832 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.832 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.832 * [taylor]: Taking taylor expansion of 2 in n 5.832 * [backup-simplify]: Simplify 2 into 2 5.832 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.832 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.832 * [taylor]: Taking taylor expansion of n in n 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (* 1 1) into 1 5.833 * [backup-simplify]: Simplify (/ 1 1) into 1 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.836 * [backup-simplify]: Simplify (- 0) into 0 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (+ 0 0) into 0 5.838 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.838 * [backup-simplify]: Simplify (+ 0 0) into 0 5.838 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 5.838 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 5.838 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 5.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.838 * [taylor]: Taking taylor expansion of 2 in n 5.838 * [backup-simplify]: Simplify 2 into 2 5.838 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.838 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.838 * [taylor]: Taking taylor expansion of n in n 5.838 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify 1 into 1 5.839 * [backup-simplify]: Simplify (* 1 1) into 1 5.840 * [backup-simplify]: Simplify (* 1 1) into 1 5.840 * [backup-simplify]: Simplify (/ 1 1) into 1 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify -1 into -1 5.851 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 5.851 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 5.852 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.852 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.852 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.852 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.852 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.852 * [taylor]: Taking taylor expansion of f in n 5.852 * [backup-simplify]: Simplify f into f 5.852 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.852 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.852 * [taylor]: Taking taylor expansion of n in n 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify 1 into 1 5.852 * [backup-simplify]: Simplify (/ 1 1) into 1 5.852 * [taylor]: Taking taylor expansion of f in n 5.852 * [backup-simplify]: Simplify f into f 5.853 * [backup-simplify]: Simplify (+ 0 1) into 1 5.853 * [backup-simplify]: Simplify (* 1 f) into f 5.853 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.853 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.853 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.853 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.853 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.853 * [taylor]: Taking taylor expansion of f in n 5.853 * [backup-simplify]: Simplify f into f 5.853 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.853 * [taylor]: Taking taylor expansion of n in n 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.853 * [backup-simplify]: Simplify (/ 1 1) into 1 5.853 * [taylor]: Taking taylor expansion of n in n 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.854 * [backup-simplify]: Simplify (+ 0 1) into 1 5.854 * [backup-simplify]: Simplify (* 1 0) into 0 5.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.854 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.855 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.855 * [backup-simplify]: Simplify (/ 1 1) into 1 5.855 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.855 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.855 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.855 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.855 * [taylor]: Taking taylor expansion of f in f 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [backup-simplify]: Simplify (/ 1 1) into 1 5.855 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.855 * [taylor]: Taking taylor expansion of n in f 5.855 * [backup-simplify]: Simplify n into n 5.855 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.855 * [taylor]: Taking taylor expansion of f in f 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (+ 1 0) into 1 5.856 * [backup-simplify]: Simplify (* 1 0) into 0 5.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.857 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.857 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.857 * [backup-simplify]: Simplify (/ 1 1) into 1 5.857 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.857 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.857 * [taylor]: Taking taylor expansion of f in f 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.858 * [backup-simplify]: Simplify (/ 1 1) into 1 5.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.858 * [taylor]: Taking taylor expansion of n in f 5.858 * [backup-simplify]: Simplify n into n 5.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.858 * [taylor]: Taking taylor expansion of n in f 5.858 * [backup-simplify]: Simplify n into n 5.858 * [backup-simplify]: Simplify (+ 1 0) into 1 5.858 * [backup-simplify]: Simplify (* 1 n) into n 5.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.858 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.858 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.858 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.858 * [taylor]: Taking taylor expansion of f in f 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [backup-simplify]: Simplify (/ 1 1) into 1 5.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.858 * [taylor]: Taking taylor expansion of n in f 5.858 * [backup-simplify]: Simplify n into n 5.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.858 * [taylor]: Taking taylor expansion of f in f 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.859 * [backup-simplify]: Simplify (+ 1 0) into 1 5.859 * [backup-simplify]: Simplify (* 1 0) into 0 5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.860 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.860 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.860 * [backup-simplify]: Simplify (/ 1 1) into 1 5.860 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.860 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.860 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.860 * [taylor]: Taking taylor expansion of f in f 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (/ 1 1) into 1 5.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.860 * [taylor]: Taking taylor expansion of n in f 5.861 * [backup-simplify]: Simplify n into n 5.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.861 * [taylor]: Taking taylor expansion of n in f 5.861 * [backup-simplify]: Simplify n into n 5.861 * [backup-simplify]: Simplify (+ 1 0) into 1 5.861 * [backup-simplify]: Simplify (* 1 n) into n 5.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.862 * [backup-simplify]: Simplify (+ 1 0) into 1 5.862 * [taylor]: Taking taylor expansion of 1 in n 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.862 * [backup-simplify]: Simplify (+ 0 0) into 0 5.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.863 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.863 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.863 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.863 * [taylor]: Taking taylor expansion of 2 in n 5.863 * [backup-simplify]: Simplify 2 into 2 5.863 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.863 * [taylor]: Taking taylor expansion of n in n 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.864 * [backup-simplify]: Simplify (/ 1 1) into 1 5.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.865 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.865 * [backup-simplify]: Simplify (- 0) into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.866 * [backup-simplify]: Simplify (+ 0 0) into 0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.868 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.868 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.868 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.868 * [taylor]: Taking taylor expansion of 2 in n 5.868 * [backup-simplify]: Simplify 2 into 2 5.868 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.868 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.868 * [taylor]: Taking taylor expansion of n in n 5.868 * [backup-simplify]: Simplify 0 into 0 5.868 * [backup-simplify]: Simplify 1 into 1 5.868 * [backup-simplify]: Simplify (* 1 1) into 1 5.869 * [backup-simplify]: Simplify (/ 1 1) into 1 5.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.871 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.873 * [backup-simplify]: Simplify (- 0) into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.874 * [backup-simplify]: Simplify (+ 0 0) into 0 5.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.876 * [backup-simplify]: Simplify (+ 0 0) into 0 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.876 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.877 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.877 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.877 * [taylor]: Taking taylor expansion of 2 in n 5.877 * [backup-simplify]: Simplify 2 into 2 5.877 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.877 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.877 * [taylor]: Taking taylor expansion of n in n 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (/ 1 1) into 1 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (- 0) into 0 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 5.883 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 5.883 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.883 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.883 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.883 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.883 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.883 * [taylor]: Taking taylor expansion of f in n 5.883 * [backup-simplify]: Simplify f into f 5.883 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.884 * [taylor]: Taking taylor expansion of n in n 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.884 * [taylor]: Taking taylor expansion of f in n 5.884 * [backup-simplify]: Simplify f into f 5.884 * [backup-simplify]: Simplify (+ 0 1) into 1 5.884 * [backup-simplify]: Simplify (* 1 f) into f 5.884 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.884 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.884 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.884 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.884 * [taylor]: Taking taylor expansion of f in n 5.884 * [backup-simplify]: Simplify f into f 5.884 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.884 * [taylor]: Taking taylor expansion of n in n 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.885 * [backup-simplify]: Simplify (/ 1 1) into 1 5.885 * [taylor]: Taking taylor expansion of n in n 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 1 into 1 5.885 * [backup-simplify]: Simplify (+ 0 1) into 1 5.885 * [backup-simplify]: Simplify (* 1 0) into 0 5.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.886 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.886 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.886 * [backup-simplify]: Simplify (/ 1 1) into 1 5.886 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.886 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.886 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.886 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.886 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.886 * [taylor]: Taking taylor expansion of f in f 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (/ 1 1) into 1 5.887 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.887 * [taylor]: Taking taylor expansion of n in f 5.887 * [backup-simplify]: Simplify n into n 5.887 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.887 * [taylor]: Taking taylor expansion of f in f 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (+ 1 0) into 1 5.887 * [backup-simplify]: Simplify (* 1 0) into 0 5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.888 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.888 * [backup-simplify]: Simplify (/ 1 1) into 1 5.888 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.888 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.888 * [taylor]: Taking taylor expansion of f in f 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.889 * [backup-simplify]: Simplify (/ 1 1) into 1 5.889 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.889 * [taylor]: Taking taylor expansion of n in f 5.889 * [backup-simplify]: Simplify n into n 5.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.889 * [taylor]: Taking taylor expansion of n in f 5.889 * [backup-simplify]: Simplify n into n 5.889 * [backup-simplify]: Simplify (+ 1 0) into 1 5.889 * [backup-simplify]: Simplify (* 1 n) into n 5.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.889 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.889 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.889 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.889 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.889 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.889 * [taylor]: Taking taylor expansion of f in f 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (/ 1 1) into 1 5.890 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.890 * [taylor]: Taking taylor expansion of n in f 5.890 * [backup-simplify]: Simplify n into n 5.890 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.890 * [taylor]: Taking taylor expansion of f in f 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (+ 1 0) into 1 5.890 * [backup-simplify]: Simplify (* 1 0) into 0 5.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.891 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.891 * [backup-simplify]: Simplify (/ 1 1) into 1 5.891 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.891 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.891 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.891 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.891 * [taylor]: Taking taylor expansion of f in f 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 1 into 1 5.892 * [backup-simplify]: Simplify (/ 1 1) into 1 5.892 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.892 * [taylor]: Taking taylor expansion of n in f 5.892 * [backup-simplify]: Simplify n into n 5.892 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.892 * [taylor]: Taking taylor expansion of n in f 5.892 * [backup-simplify]: Simplify n into n 5.892 * [backup-simplify]: Simplify (+ 1 0) into 1 5.892 * [backup-simplify]: Simplify (* 1 n) into n 5.892 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.893 * [backup-simplify]: Simplify (+ 1 0) into 1 5.893 * [taylor]: Taking taylor expansion of 1 in n 5.893 * [backup-simplify]: Simplify 1 into 1 5.893 * [backup-simplify]: Simplify 1 into 1 5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.894 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.894 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.894 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.894 * [taylor]: Taking taylor expansion of 2 in n 5.894 * [backup-simplify]: Simplify 2 into 2 5.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.894 * [taylor]: Taking taylor expansion of n in n 5.895 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify 1 into 1 5.895 * [backup-simplify]: Simplify (/ 1 1) into 1 5.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.896 * [backup-simplify]: Simplify (- 0) into 0 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.897 * [backup-simplify]: Simplify (+ 0 0) into 0 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.899 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.899 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.899 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.899 * [taylor]: Taking taylor expansion of 2 in n 5.899 * [backup-simplify]: Simplify 2 into 2 5.899 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.899 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.899 * [taylor]: Taking taylor expansion of n in n 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (* 1 1) into 1 5.900 * [backup-simplify]: Simplify (/ 1 1) into 1 5.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.902 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.904 * [backup-simplify]: Simplify (- 0) into 0 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.905 * [backup-simplify]: Simplify (+ 0 0) into 0 5.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.907 * [backup-simplify]: Simplify (+ 0 0) into 0 5.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.908 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.908 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.908 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.908 * [taylor]: Taking taylor expansion of 2 in n 5.908 * [backup-simplify]: Simplify 2 into 2 5.908 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.908 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.908 * [taylor]: Taking taylor expansion of n in n 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 1 into 1 5.908 * [backup-simplify]: Simplify (* 1 1) into 1 5.909 * [backup-simplify]: Simplify (* 1 1) into 1 5.909 * [backup-simplify]: Simplify (/ 1 1) into 1 5.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.915 * [backup-simplify]: Simplify (- 0) into 0 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 5.915 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 5.915 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 5.915 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.915 * [taylor]: Taking taylor expansion of n in f 5.915 * [backup-simplify]: Simplify n into n 5.915 * [taylor]: Taking taylor expansion of (+ n f) in f 5.915 * [taylor]: Taking taylor expansion of n in f 5.915 * [backup-simplify]: Simplify n into n 5.915 * [taylor]: Taking taylor expansion of f in f 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [backup-simplify]: Simplify (+ n 0) into n 5.915 * [backup-simplify]: Simplify (/ n n) into 1 5.915 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.915 * [taylor]: Taking taylor expansion of n in n 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [taylor]: Taking taylor expansion of (+ n f) in n 5.915 * [taylor]: Taking taylor expansion of n in n 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [taylor]: Taking taylor expansion of f in n 5.915 * [backup-simplify]: Simplify f into f 5.915 * [backup-simplify]: Simplify (+ 0 f) into f 5.915 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.915 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.915 * [taylor]: Taking taylor expansion of n in n 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [taylor]: Taking taylor expansion of (+ n f) in n 5.915 * [taylor]: Taking taylor expansion of n in n 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [taylor]: Taking taylor expansion of f in n 5.915 * [backup-simplify]: Simplify f into f 5.915 * [backup-simplify]: Simplify (+ 0 f) into f 5.916 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.916 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.916 * [taylor]: Taking taylor expansion of f in f 5.916 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify 1 into 1 5.916 * [backup-simplify]: Simplify (/ 1 1) into 1 5.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.916 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify (+ 1 0) into 1 5.917 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 5.917 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 5.917 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.917 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.917 * [taylor]: Taking taylor expansion of f in f 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 1 into 1 5.917 * [backup-simplify]: Simplify (* 1 1) into 1 5.917 * [backup-simplify]: Simplify (/ 1 1) into 1 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.920 * [backup-simplify]: Simplify (- 0) into 0 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify (+ 0 0) into 0 5.921 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 5.921 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 5.921 * [taylor]: Taking taylor expansion of (pow f 3) in f 5.921 * [taylor]: Taking taylor expansion of f in f 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (* 1 1) into 1 5.921 * [backup-simplify]: Simplify (* 1 1) into 1 5.922 * [backup-simplify]: Simplify (/ 1 1) into 1 5.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.926 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.927 * [backup-simplify]: Simplify (- 0) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 5.928 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 5.928 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.928 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.928 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.928 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.928 * [taylor]: Taking taylor expansion of f in f 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify 1 into 1 5.929 * [backup-simplify]: Simplify (/ 1 1) into 1 5.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.929 * [taylor]: Taking taylor expansion of n in f 5.929 * [backup-simplify]: Simplify n into n 5.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.929 * [taylor]: Taking taylor expansion of n in f 5.929 * [backup-simplify]: Simplify n into n 5.929 * [backup-simplify]: Simplify (+ 1 0) into 1 5.929 * [backup-simplify]: Simplify (* 1 n) into n 5.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.929 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.930 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.930 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.930 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.930 * [taylor]: Taking taylor expansion of f in n 5.930 * [backup-simplify]: Simplify f into f 5.930 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.930 * [taylor]: Taking taylor expansion of n in n 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 1 into 1 5.930 * [backup-simplify]: Simplify (/ 1 1) into 1 5.930 * [taylor]: Taking taylor expansion of n in n 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (+ 0 1) into 1 5.931 * [backup-simplify]: Simplify (* 1 0) into 0 5.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.932 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.932 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.933 * [backup-simplify]: Simplify (/ 1 1) into 1 5.933 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.933 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.933 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.933 * [taylor]: Taking taylor expansion of f in n 5.933 * [backup-simplify]: Simplify f into f 5.933 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.933 * [taylor]: Taking taylor expansion of n in n 5.933 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify 1 into 1 5.934 * [backup-simplify]: Simplify (/ 1 1) into 1 5.934 * [taylor]: Taking taylor expansion of n in n 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [backup-simplify]: Simplify (+ 0 1) into 1 5.935 * [backup-simplify]: Simplify (* 1 0) into 0 5.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.936 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.936 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.936 * [backup-simplify]: Simplify (/ 1 1) into 1 5.937 * [taylor]: Taking taylor expansion of 1 in f 5.937 * [backup-simplify]: Simplify 1 into 1 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.938 * [backup-simplify]: Simplify (+ 0 0) into 0 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.939 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.939 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.939 * [taylor]: Taking taylor expansion of f in f 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.940 * [backup-simplify]: Simplify (/ 1 1) into 1 5.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.946 * [backup-simplify]: Simplify (- 0) into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.948 * [backup-simplify]: Simplify (+ 0 0) into 0 5.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.950 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.950 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.950 * [taylor]: Taking taylor expansion of f in f 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (* 1 1) into 1 5.951 * [backup-simplify]: Simplify (/ 1 1) into 1 5.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.957 * [backup-simplify]: Simplify (- 0) into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 5.957 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 5.958 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.958 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.958 * [taylor]: Taking taylor expansion of f in f 5.958 * [backup-simplify]: Simplify 0 into 0 5.958 * [backup-simplify]: Simplify 1 into 1 5.958 * [backup-simplify]: Simplify (/ 1 1) into 1 5.958 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.958 * [taylor]: Taking taylor expansion of n in f 5.958 * [backup-simplify]: Simplify n into n 5.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.958 * [taylor]: Taking taylor expansion of n in f 5.958 * [backup-simplify]: Simplify n into n 5.959 * [backup-simplify]: Simplify (+ 1 0) into 1 5.959 * [backup-simplify]: Simplify (* 1 n) into n 5.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.959 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.959 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.959 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.959 * [taylor]: Taking taylor expansion of f in n 5.959 * [backup-simplify]: Simplify f into f 5.959 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.959 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.959 * [taylor]: Taking taylor expansion of n in n 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 1 into 1 5.959 * [backup-simplify]: Simplify (/ 1 1) into 1 5.959 * [taylor]: Taking taylor expansion of n in n 5.959 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 1 into 1 5.960 * [backup-simplify]: Simplify (+ 0 1) into 1 5.960 * [backup-simplify]: Simplify (* 1 0) into 0 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.961 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.962 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.962 * [backup-simplify]: Simplify (/ 1 1) into 1 5.962 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.962 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.962 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.962 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.962 * [taylor]: Taking taylor expansion of f in n 5.963 * [backup-simplify]: Simplify f into f 5.963 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.963 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.963 * [taylor]: Taking taylor expansion of n in n 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (/ 1 1) into 1 5.963 * [taylor]: Taking taylor expansion of n in n 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (+ 0 1) into 1 5.964 * [backup-simplify]: Simplify (* 1 0) into 0 5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.965 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.966 * [backup-simplify]: Simplify (/ 1 1) into 1 5.966 * [taylor]: Taking taylor expansion of 1 in f 5.966 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.967 * [backup-simplify]: Simplify (+ 0 0) into 0 5.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.968 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.968 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.968 * [taylor]: Taking taylor expansion of f in f 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.969 * [backup-simplify]: Simplify (/ 1 1) into 1 5.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (- 0) into 0 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (+ 0 0) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.972 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.972 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.972 * [taylor]: Taking taylor expansion of f in f 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [backup-simplify]: Simplify (* 1 1) into 1 5.972 * [backup-simplify]: Simplify (/ 1 1) into 1 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (- 0) into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.977 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 5.977 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 5.977 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.977 * [taylor]: Taking taylor expansion of f in n 5.977 * [backup-simplify]: Simplify f into f 5.977 * [taylor]: Taking taylor expansion of (+ n f) in n 5.977 * [taylor]: Taking taylor expansion of n in n 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [taylor]: Taking taylor expansion of f in n 5.977 * [backup-simplify]: Simplify f into f 5.977 * [backup-simplify]: Simplify (+ 0 f) into f 5.977 * [backup-simplify]: Simplify (/ f f) into 1 5.977 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.977 * [taylor]: Taking taylor expansion of f in f 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [taylor]: Taking taylor expansion of (+ n f) in f 5.977 * [taylor]: Taking taylor expansion of n in f 5.977 * [backup-simplify]: Simplify n into n 5.977 * [taylor]: Taking taylor expansion of f in f 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (+ n 0) into n 5.977 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.977 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.977 * [taylor]: Taking taylor expansion of f in f 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [taylor]: Taking taylor expansion of (+ n f) in f 5.977 * [taylor]: Taking taylor expansion of n in f 5.977 * [backup-simplify]: Simplify n into n 5.977 * [taylor]: Taking taylor expansion of f in f 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (+ n 0) into n 5.977 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.977 * [taylor]: Taking taylor expansion of n in n 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (/ 1 1) into 1 5.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify (+ 0 1) into 1 5.978 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.978 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.979 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.979 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.979 * [taylor]: Taking taylor expansion of n in n 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.979 * [backup-simplify]: Simplify (/ 1 1) into 1 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (- 0) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (+ 0 0) into 0 5.982 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.982 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.982 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.982 * [taylor]: Taking taylor expansion of n in n 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify 1 into 1 5.983 * [backup-simplify]: Simplify (* 1 1) into 1 5.983 * [backup-simplify]: Simplify (* 1 1) into 1 5.983 * [backup-simplify]: Simplify (/ 1 1) into 1 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 5.990 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 5.990 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.990 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.990 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.990 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.990 * [taylor]: Taking taylor expansion of f in n 5.990 * [backup-simplify]: Simplify f into f 5.990 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.990 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.990 * [taylor]: Taking taylor expansion of n in n 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.991 * [backup-simplify]: Simplify (/ 1 1) into 1 5.991 * [taylor]: Taking taylor expansion of f in n 5.991 * [backup-simplify]: Simplify f into f 5.991 * [backup-simplify]: Simplify (+ 0 1) into 1 5.991 * [backup-simplify]: Simplify (* 1 f) into f 5.991 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.991 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.991 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.991 * [taylor]: Taking taylor expansion of f in f 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify 1 into 1 5.991 * [backup-simplify]: Simplify (/ 1 1) into 1 5.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.991 * [taylor]: Taking taylor expansion of n in f 5.992 * [backup-simplify]: Simplify n into n 5.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.992 * [taylor]: Taking taylor expansion of f in f 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.992 * [backup-simplify]: Simplify (+ 1 0) into 1 5.992 * [backup-simplify]: Simplify (* 1 0) into 0 5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.993 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.993 * [backup-simplify]: Simplify (/ 1 1) into 1 5.993 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.993 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.993 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.993 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.993 * [taylor]: Taking taylor expansion of f in f 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.994 * [backup-simplify]: Simplify (/ 1 1) into 1 5.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.994 * [taylor]: Taking taylor expansion of n in f 5.994 * [backup-simplify]: Simplify n into n 5.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.994 * [taylor]: Taking taylor expansion of f in f 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.994 * [backup-simplify]: Simplify (+ 1 0) into 1 5.994 * [backup-simplify]: Simplify (* 1 0) into 0 5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.995 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.995 * [backup-simplify]: Simplify (/ 1 1) into 1 5.995 * [taylor]: Taking taylor expansion of 1 in n 5.995 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.996 * [backup-simplify]: Simplify (+ 0 0) into 0 5.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.997 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.997 * [taylor]: Taking taylor expansion of n in n 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (/ 1 1) into 1 5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (- 0) into 0 5.998 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.001 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.001 * [taylor]: Taking taylor expansion of n in n 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (* 1 1) into 1 6.001 * [backup-simplify]: Simplify (/ 1 1) into 1 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.004 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (- 0) into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 6.005 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 6.005 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.005 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.005 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.005 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.005 * [taylor]: Taking taylor expansion of f in n 6.005 * [backup-simplify]: Simplify f into f 6.005 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.005 * [taylor]: Taking taylor expansion of n in n 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 1 into 1 6.006 * [backup-simplify]: Simplify (/ 1 1) into 1 6.006 * [taylor]: Taking taylor expansion of f in n 6.006 * [backup-simplify]: Simplify f into f 6.006 * [backup-simplify]: Simplify (+ 0 1) into 1 6.006 * [backup-simplify]: Simplify (* 1 f) into f 6.006 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.006 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.006 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.006 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.006 * [taylor]: Taking taylor expansion of f in f 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify 1 into 1 6.006 * [backup-simplify]: Simplify (/ 1 1) into 1 6.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.006 * [taylor]: Taking taylor expansion of n in f 6.006 * [backup-simplify]: Simplify n into n 6.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.006 * [taylor]: Taking taylor expansion of f in f 6.006 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 1 into 1 6.007 * [backup-simplify]: Simplify (+ 1 0) into 1 6.007 * [backup-simplify]: Simplify (* 1 0) into 0 6.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.008 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.008 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.008 * [backup-simplify]: Simplify (/ 1 1) into 1 6.008 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.008 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.008 * [taylor]: Taking taylor expansion of f in f 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (/ 1 1) into 1 6.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.008 * [taylor]: Taking taylor expansion of n in f 6.008 * [backup-simplify]: Simplify n into n 6.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.009 * [taylor]: Taking taylor expansion of f in f 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (+ 1 0) into 1 6.009 * [backup-simplify]: Simplify (* 1 0) into 0 6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.010 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.010 * [backup-simplify]: Simplify (/ 1 1) into 1 6.010 * [taylor]: Taking taylor expansion of 1 in n 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.011 * [backup-simplify]: Simplify (+ 0 0) into 0 6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.012 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.012 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.012 * [taylor]: Taking taylor expansion of n in n 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.012 * [backup-simplify]: Simplify (/ 1 1) into 1 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (- 0) into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.014 * [backup-simplify]: Simplify (+ 0 0) into 0 6.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.015 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.015 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.015 * [taylor]: Taking taylor expansion of n in n 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 1 into 1 6.016 * [backup-simplify]: Simplify (* 1 1) into 1 6.016 * [backup-simplify]: Simplify (/ 1 1) into 1 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.019 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.020 * [backup-simplify]: Simplify (- 0) into 0 6.020 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify 0 into 0 6.020 * * * [progress]: simplifying candidates 6.020 * * * * [progress]: [ 1 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 2 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 3 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 4 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 5 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 6 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 7 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 8 / 547 ] simplifiying candidate # 6.020 * * * * [progress]: [ 9 / 547 ] simplifiying candidate # 6.021 * * * * 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6.024 * * * * [progress]: [ 57 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 58 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 59 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 60 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 61 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 62 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 63 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 64 / 547 ] simplifiying candidate # 6.024 * * * * [progress]: [ 65 / 547 ] simplifiying candidate # 6.025 * * * * [progress]: [ 66 / 547 ] simplifiying candidate # 6.025 * * * * [progress]: [ 67 / 547 ] simplifiying candidate # 6.025 * * * * [progress]: [ 68 / 547 ] simplifiying candidate # 6.025 * * * * [progress]: [ 69 / 547 ] simplifiying candidate # 6.025 * * * * [progress]: [ 70 / 547 ] simplifiying candidate # 6.025 * * * * [progress]: [ 71 / 547 ] simplifiying candidate # 6.025 * * * * [progress]: [ 72 / 547 ] 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[progress]: [ 88 / 547 ] simplifiying candidate # 6.026 * * * * [progress]: [ 89 / 547 ] simplifiying candidate # 6.026 * * * * [progress]: [ 90 / 547 ] simplifiying candidate #real (real->posit16 (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))))))> 6.026 * * * * [progress]: [ 91 / 547 ] simplifiying candidate # 6.026 * * * * [progress]: [ 92 / 547 ] simplifiying candidate # 6.026 * * * * [progress]: [ 93 / 547 ] simplifiying candidate # 6.026 * * * * [progress]: [ 94 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 95 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 96 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 97 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 98 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 99 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 100 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 101 / 547 ] simplifiying candidate # 6.027 * * * * [progress]: [ 102 / 547 ] simplifiying 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6.060 * * * * [progress]: [ 531 / 547 ] simplifiying candidate # 6.060 * * * * [progress]: [ 532 / 547 ] simplifiying candidate # 6.060 * * * * [progress]: [ 533 / 547 ] simplifiying candidate # 6.060 * * * * [progress]: [ 534 / 547 ] simplifiying candidate # 6.060 * * * * [progress]: [ 535 / 547 ] simplifiying candidate #real (real->posit16 (/ f (+ f n)))) (/ n (+ f n)))))> 6.060 * * * * [progress]: [ 536 / 547 ] simplifiying candidate # 6.060 * * * * [progress]: [ 537 / 547 ] simplifiying candidate # 6.060 * * * * [progress]: [ 538 / 547 ] simplifiying candidate # 6.060 * * * * [progress]: [ 539 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 540 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 541 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 542 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 543 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 544 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 545 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 546 / 547 ] simplifiying candidate # 6.061 * * * * [progress]: [ 547 / 547 ] simplifiying candidate # 6.082 * [simplify]: Simplifying (expm1 (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (log1p (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (- (log -1) (log (- (/ f (+ f n)) (/ n (+ f n))))), (log (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (/ (* (* -1 -1) -1) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))))), (* (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))))), (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (* (* (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (- -1), (- (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (* (cbrt 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* * * [progress]: adding candidates to table 13.633 * * [progress]: iteration 4 / 4 13.633 * * * [progress]: picking best candidate 13.642 * * * * [pick]: Picked # 13.642 * * * [progress]: localizing error 13.715 * * * [progress]: generating rewritten candidates 13.715 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 13.754 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 13.798 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 13.829 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2) 13.907 * * * [progress]: generating series expansions 13.907 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 13.907 * [backup-simplify]: Simplify (* (/ f (+ f n)) (/ f (+ f n))) into (/ (pow f 2) (pow (+ n f) 2)) 13.907 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 13.907 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 13.907 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.907 * [taylor]: Taking taylor expansion of f in n 13.907 * [backup-simplify]: Simplify f into f 13.907 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 13.907 * [taylor]: Taking taylor expansion of (+ n f) in n 13.907 * [taylor]: Taking taylor expansion of n in n 13.907 * [backup-simplify]: Simplify 0 into 0 13.907 * [backup-simplify]: Simplify 1 into 1 13.907 * [taylor]: Taking taylor expansion of f in n 13.907 * [backup-simplify]: Simplify f into f 13.907 * [backup-simplify]: Simplify (+ 0 f) into f 13.907 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.907 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.908 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 13.908 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 13.908 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.908 * [taylor]: Taking taylor expansion of f in f 13.908 * [backup-simplify]: Simplify 0 into 0 13.908 * [backup-simplify]: Simplify 1 into 1 13.908 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 13.908 * [taylor]: Taking taylor expansion of (+ n f) in f 13.908 * [taylor]: Taking taylor expansion of n in f 13.908 * [backup-simplify]: Simplify n into n 13.908 * [taylor]: Taking taylor expansion of f in f 13.908 * [backup-simplify]: Simplify 0 into 0 13.908 * [backup-simplify]: Simplify 1 into 1 13.908 * [backup-simplify]: Simplify (+ n 0) into n 13.909 * [backup-simplify]: Simplify (* 1 1) into 1 13.909 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.909 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.909 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 13.909 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.909 * [taylor]: Taking taylor expansion of f in f 13.909 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify 1 into 1 13.909 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 13.909 * [taylor]: Taking taylor expansion of (+ n f) in f 13.909 * [taylor]: Taking taylor expansion of n in f 13.909 * [backup-simplify]: Simplify n into n 13.909 * [taylor]: Taking taylor expansion of f in f 13.909 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify 1 into 1 13.909 * [backup-simplify]: Simplify (+ n 0) into n 13.910 * [backup-simplify]: Simplify (* 1 1) into 1 13.910 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.910 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 13.910 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.910 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.910 * [taylor]: Taking taylor expansion of n in n 13.910 * [backup-simplify]: Simplify 0 into 0 13.910 * [backup-simplify]: Simplify 1 into 1 13.910 * [backup-simplify]: Simplify (* 1 1) into 1 13.911 * [backup-simplify]: Simplify (/ 1 1) into 1 13.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.915 * [backup-simplify]: Simplify 0 into 0 13.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.916 * [backup-simplify]: Simplify (+ 0 1) into 1 13.916 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 13.916 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 13.916 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 13.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 13.916 * [taylor]: Taking taylor expansion of 2 in n 13.916 * [backup-simplify]: Simplify 2 into 2 13.916 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 13.916 * [taylor]: Taking taylor expansion of (pow n 3) in n 13.916 * [taylor]: Taking taylor expansion of n in n 13.916 * [backup-simplify]: Simplify 0 into 0 13.917 * [backup-simplify]: Simplify 1 into 1 13.917 * [backup-simplify]: Simplify (* 1 1) into 1 13.917 * [backup-simplify]: Simplify (* 1 1) into 1 13.918 * [backup-simplify]: Simplify (/ 1 1) into 1 13.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.927 * [backup-simplify]: Simplify (- 0) into 0 13.927 * [backup-simplify]: Simplify 0 into 0 13.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.929 * [backup-simplify]: Simplify 0 into 0 13.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.931 * [backup-simplify]: Simplify (+ 0 0) into 0 13.931 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 13.931 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 13.932 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 13.932 * [taylor]: Taking taylor expansion of 3 in n 13.932 * [backup-simplify]: Simplify 3 into 3 13.932 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 13.932 * [taylor]: Taking taylor expansion of (pow n 4) in n 13.932 * [taylor]: Taking taylor expansion of n in n 13.932 * [backup-simplify]: Simplify 0 into 0 13.932 * [backup-simplify]: Simplify 1 into 1 13.932 * [backup-simplify]: Simplify (* 1 1) into 1 13.932 * [backup-simplify]: Simplify (* 1 1) into 1 13.933 * [backup-simplify]: Simplify (/ 1 1) into 1 13.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.945 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.945 * [backup-simplify]: Simplify 0 into 0 13.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.950 * [backup-simplify]: Simplify (- 0) into 0 13.951 * [backup-simplify]: Simplify 0 into 0 13.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.953 * [backup-simplify]: Simplify 0 into 0 13.953 * [backup-simplify]: Simplify 0 into 0 13.953 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 f) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 13.953 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 13.953 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 13.953 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 13.953 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 13.953 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.953 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.953 * [taylor]: Taking taylor expansion of f in n 13.953 * [backup-simplify]: Simplify f into f 13.953 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.953 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.954 * [taylor]: Taking taylor expansion of n in n 13.954 * [backup-simplify]: Simplify 0 into 0 13.954 * [backup-simplify]: Simplify 1 into 1 13.954 * [backup-simplify]: Simplify (/ 1 1) into 1 13.954 * [backup-simplify]: Simplify (+ 0 1) into 1 13.954 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.954 * [taylor]: Taking taylor expansion of f in n 13.954 * [backup-simplify]: Simplify f into f 13.955 * [backup-simplify]: Simplify (* 1 1) into 1 13.955 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.955 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 13.955 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 13.955 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 13.955 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 13.955 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.955 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.955 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.955 * [taylor]: Taking taylor expansion of f in f 13.955 * [backup-simplify]: Simplify 0 into 0 13.955 * [backup-simplify]: Simplify 1 into 1 13.956 * [backup-simplify]: Simplify (/ 1 1) into 1 13.956 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.956 * [taylor]: Taking taylor expansion of n in f 13.956 * [backup-simplify]: Simplify n into n 13.956 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.956 * [backup-simplify]: Simplify (+ 1 0) into 1 13.956 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.956 * [taylor]: Taking taylor expansion of f in f 13.956 * [backup-simplify]: Simplify 0 into 0 13.956 * [backup-simplify]: Simplify 1 into 1 13.957 * [backup-simplify]: Simplify (* 1 1) into 1 13.957 * [backup-simplify]: Simplify (* 1 1) into 1 13.958 * [backup-simplify]: Simplify (* 1 1) into 1 13.958 * [backup-simplify]: Simplify (/ 1 1) into 1 13.958 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 13.958 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 13.958 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.958 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.958 * [taylor]: Taking taylor expansion of f in f 13.958 * [backup-simplify]: Simplify 0 into 0 13.958 * [backup-simplify]: Simplify 1 into 1 13.959 * [backup-simplify]: Simplify (/ 1 1) into 1 13.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.959 * [taylor]: Taking taylor expansion of n in f 13.959 * [backup-simplify]: Simplify n into n 13.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.959 * [backup-simplify]: Simplify (+ 1 0) into 1 13.959 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.959 * [taylor]: Taking taylor expansion of f in f 13.959 * [backup-simplify]: Simplify 0 into 0 13.959 * [backup-simplify]: Simplify 1 into 1 13.960 * [backup-simplify]: Simplify (* 1 1) into 1 13.960 * [backup-simplify]: Simplify (* 1 1) into 1 13.960 * [backup-simplify]: Simplify (* 1 1) into 1 13.961 * [backup-simplify]: Simplify (/ 1 1) into 1 13.961 * [taylor]: Taking taylor expansion of 1 in n 13.961 * [backup-simplify]: Simplify 1 into 1 13.961 * [backup-simplify]: Simplify 0 into 0 13.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.962 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.963 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 13.963 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 13.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 13.963 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.963 * [taylor]: Taking taylor expansion of 2 in n 13.963 * [backup-simplify]: Simplify 2 into 2 13.963 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.963 * [taylor]: Taking taylor expansion of n in n 13.963 * [backup-simplify]: Simplify 0 into 0 13.963 * [backup-simplify]: Simplify 1 into 1 13.964 * [backup-simplify]: Simplify (/ 1 1) into 1 13.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.967 * [backup-simplify]: Simplify (- 0) into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.968 * [backup-simplify]: Simplify (+ 0 0) into 0 13.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 13.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 13.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 13.969 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 13.969 * [taylor]: Taking taylor expansion of 3 in n 13.969 * [backup-simplify]: Simplify 3 into 3 13.969 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.969 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.969 * [taylor]: Taking taylor expansion of n in n 13.969 * [backup-simplify]: Simplify 0 into 0 13.969 * [backup-simplify]: Simplify 1 into 1 13.970 * [backup-simplify]: Simplify (* 1 1) into 1 13.970 * [backup-simplify]: Simplify (/ 1 1) into 1 13.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.975 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.975 * [backup-simplify]: Simplify 0 into 0 13.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.977 * [backup-simplify]: Simplify (- 0) into 0 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 13.977 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 13.977 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 13.977 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 13.977 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 13.977 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 13.977 * [taylor]: Taking taylor expansion of (/ 1 f) in n 13.977 * [taylor]: Taking taylor expansion of f in n 13.977 * [backup-simplify]: Simplify f into f 13.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 13.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.977 * [taylor]: Taking taylor expansion of n in n 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [backup-simplify]: Simplify 1 into 1 13.978 * [backup-simplify]: Simplify (/ 1 1) into 1 13.978 * [backup-simplify]: Simplify (+ 0 1) into 1 13.978 * [taylor]: Taking taylor expansion of (pow f 2) in n 13.978 * [taylor]: Taking taylor expansion of f in n 13.978 * [backup-simplify]: Simplify f into f 13.978 * [backup-simplify]: Simplify (* 1 1) into 1 13.978 * [backup-simplify]: Simplify (* f f) into (pow f 2) 13.978 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 13.978 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 13.978 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 13.978 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 13.978 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.978 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.978 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.978 * [taylor]: Taking taylor expansion of f in f 13.978 * [backup-simplify]: Simplify 0 into 0 13.979 * [backup-simplify]: Simplify 1 into 1 13.979 * [backup-simplify]: Simplify (/ 1 1) into 1 13.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.979 * [taylor]: Taking taylor expansion of n in f 13.979 * [backup-simplify]: Simplify n into n 13.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.979 * [backup-simplify]: Simplify (+ 1 0) into 1 13.979 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.979 * [taylor]: Taking taylor expansion of f in f 13.979 * [backup-simplify]: Simplify 0 into 0 13.979 * [backup-simplify]: Simplify 1 into 1 13.979 * [backup-simplify]: Simplify (* 1 1) into 1 13.980 * [backup-simplify]: Simplify (* 1 1) into 1 13.980 * [backup-simplify]: Simplify (* 1 1) into 1 13.980 * [backup-simplify]: Simplify (/ 1 1) into 1 13.980 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 13.980 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 13.980 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 13.980 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 13.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 13.980 * [taylor]: Taking taylor expansion of f in f 13.980 * [backup-simplify]: Simplify 0 into 0 13.980 * [backup-simplify]: Simplify 1 into 1 13.981 * [backup-simplify]: Simplify (/ 1 1) into 1 13.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 13.981 * [taylor]: Taking taylor expansion of n in f 13.981 * [backup-simplify]: Simplify n into n 13.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.981 * [backup-simplify]: Simplify (+ 1 0) into 1 13.981 * [taylor]: Taking taylor expansion of (pow f 2) in f 13.981 * [taylor]: Taking taylor expansion of f in f 13.981 * [backup-simplify]: Simplify 0 into 0 13.981 * [backup-simplify]: Simplify 1 into 1 13.981 * [backup-simplify]: Simplify (* 1 1) into 1 13.981 * [backup-simplify]: Simplify (* 1 1) into 1 13.982 * [backup-simplify]: Simplify (* 1 1) into 1 13.982 * [backup-simplify]: Simplify (/ 1 1) into 1 13.982 * [taylor]: Taking taylor expansion of 1 in n 13.982 * [backup-simplify]: Simplify 1 into 1 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.983 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.983 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 13.983 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 13.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 13.984 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 13.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 13.984 * [taylor]: Taking taylor expansion of 2 in n 13.984 * [backup-simplify]: Simplify 2 into 2 13.984 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.984 * [taylor]: Taking taylor expansion of n in n 13.984 * [backup-simplify]: Simplify 0 into 0 13.984 * [backup-simplify]: Simplify 1 into 1 13.984 * [backup-simplify]: Simplify (/ 1 1) into 1 13.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.986 * [backup-simplify]: Simplify (- 0) into 0 13.986 * [backup-simplify]: Simplify 0 into 0 13.987 * [backup-simplify]: Simplify 0 into 0 13.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.988 * [backup-simplify]: Simplify (+ 0 0) into 0 13.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 13.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 13.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 13.989 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 13.989 * [taylor]: Taking taylor expansion of 3 in n 13.989 * [backup-simplify]: Simplify 3 into 3 13.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.989 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.989 * [taylor]: Taking taylor expansion of n in n 13.989 * [backup-simplify]: Simplify 0 into 0 13.989 * [backup-simplify]: Simplify 1 into 1 13.990 * [backup-simplify]: Simplify (* 1 1) into 1 13.997 * [backup-simplify]: Simplify (/ 1 1) into 1 13.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.003 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.003 * [backup-simplify]: Simplify 0 into 0 14.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.005 * [backup-simplify]: Simplify (- 0) into 0 14.005 * [backup-simplify]: Simplify 0 into 0 14.005 * [backup-simplify]: Simplify 0 into 0 14.005 * [backup-simplify]: Simplify 0 into 0 14.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 14.006 * [backup-simplify]: Simplify (* (/ f (+ f n)) (/ f (+ f n))) into (/ (pow f 2) (pow (+ n f) 2)) 14.006 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 14.006 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 14.006 * [taylor]: Taking taylor expansion of (pow f 2) in n 14.006 * [taylor]: Taking taylor expansion of f in n 14.006 * [backup-simplify]: Simplify f into f 14.006 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 14.006 * [taylor]: Taking taylor expansion of (+ n f) in n 14.006 * [taylor]: Taking taylor expansion of n in n 14.006 * [backup-simplify]: Simplify 0 into 0 14.006 * [backup-simplify]: Simplify 1 into 1 14.006 * [taylor]: Taking taylor expansion of f in n 14.006 * [backup-simplify]: Simplify f into f 14.006 * [backup-simplify]: Simplify (+ 0 f) into f 14.006 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.006 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.006 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 14.006 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 14.006 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.006 * [taylor]: Taking taylor expansion of f in f 14.006 * [backup-simplify]: Simplify 0 into 0 14.006 * [backup-simplify]: Simplify 1 into 1 14.006 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 14.006 * [taylor]: Taking taylor expansion of (+ n f) in f 14.007 * [taylor]: Taking taylor expansion of n in f 14.007 * [backup-simplify]: Simplify n into n 14.007 * [taylor]: Taking taylor expansion of f in f 14.007 * [backup-simplify]: Simplify 0 into 0 14.007 * [backup-simplify]: Simplify 1 into 1 14.007 * [backup-simplify]: Simplify (+ n 0) into n 14.007 * [backup-simplify]: Simplify (* 1 1) into 1 14.007 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.007 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 14.007 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 14.007 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.007 * [taylor]: Taking taylor expansion of f in f 14.007 * [backup-simplify]: Simplify 0 into 0 14.007 * [backup-simplify]: Simplify 1 into 1 14.007 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 14.007 * [taylor]: Taking taylor expansion of (+ n f) in f 14.007 * [taylor]: Taking taylor expansion of n in f 14.007 * [backup-simplify]: Simplify n into n 14.007 * [taylor]: Taking taylor expansion of f in f 14.007 * [backup-simplify]: Simplify 0 into 0 14.007 * [backup-simplify]: Simplify 1 into 1 14.007 * [backup-simplify]: Simplify (+ n 0) into n 14.008 * [backup-simplify]: Simplify (* 1 1) into 1 14.008 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.008 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 14.008 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.008 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.008 * [taylor]: Taking taylor expansion of n in n 14.008 * [backup-simplify]: Simplify 0 into 0 14.008 * [backup-simplify]: Simplify 1 into 1 14.009 * [backup-simplify]: Simplify (* 1 1) into 1 14.009 * [backup-simplify]: Simplify (/ 1 1) into 1 14.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.012 * [backup-simplify]: Simplify 0 into 0 14.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.013 * [backup-simplify]: Simplify (+ 0 1) into 1 14.013 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 14.013 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 14.013 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 14.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.013 * [taylor]: Taking taylor expansion of 2 in n 14.013 * [backup-simplify]: Simplify 2 into 2 14.014 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.014 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.014 * [taylor]: Taking taylor expansion of n in n 14.014 * [backup-simplify]: Simplify 0 into 0 14.014 * [backup-simplify]: Simplify 1 into 1 14.014 * [backup-simplify]: Simplify (* 1 1) into 1 14.014 * [backup-simplify]: Simplify (* 1 1) into 1 14.015 * [backup-simplify]: Simplify (/ 1 1) into 1 14.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.023 * [backup-simplify]: Simplify (- 0) into 0 14.023 * [backup-simplify]: Simplify 0 into 0 14.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.026 * [backup-simplify]: Simplify 0 into 0 14.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.027 * [backup-simplify]: Simplify (+ 0 0) into 0 14.028 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 14.029 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 14.029 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 14.029 * [taylor]: Taking taylor expansion of 3 in n 14.029 * [backup-simplify]: Simplify 3 into 3 14.029 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 14.029 * [taylor]: Taking taylor expansion of (pow n 4) in n 14.029 * [taylor]: Taking taylor expansion of n in n 14.029 * [backup-simplify]: Simplify 0 into 0 14.029 * [backup-simplify]: Simplify 1 into 1 14.030 * [backup-simplify]: Simplify (* 1 1) into 1 14.030 * [backup-simplify]: Simplify (* 1 1) into 1 14.030 * [backup-simplify]: Simplify (/ 1 1) into 1 14.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.039 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.039 * [backup-simplify]: Simplify 0 into 0 14.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.042 * [backup-simplify]: Simplify (- 0) into 0 14.042 * [backup-simplify]: Simplify 0 into 0 14.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.043 * [backup-simplify]: Simplify 0 into 0 14.043 * [backup-simplify]: Simplify 0 into 0 14.043 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 f) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 14.043 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 14.043 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 14.043 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 14.043 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.043 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.043 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.044 * [taylor]: Taking taylor expansion of f in n 14.044 * [backup-simplify]: Simplify f into f 14.044 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.044 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.044 * [taylor]: Taking taylor expansion of n in n 14.044 * [backup-simplify]: Simplify 0 into 0 14.044 * [backup-simplify]: Simplify 1 into 1 14.044 * [backup-simplify]: Simplify (/ 1 1) into 1 14.044 * [backup-simplify]: Simplify (+ 0 1) into 1 14.044 * [taylor]: Taking taylor expansion of (pow f 2) in n 14.044 * [taylor]: Taking taylor expansion of f in n 14.044 * [backup-simplify]: Simplify f into f 14.044 * [backup-simplify]: Simplify (* 1 1) into 1 14.045 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.045 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 14.045 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 14.045 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 14.045 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 14.045 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.045 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.045 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.045 * [taylor]: Taking taylor expansion of f in f 14.045 * [backup-simplify]: Simplify 0 into 0 14.045 * [backup-simplify]: Simplify 1 into 1 14.045 * [backup-simplify]: Simplify (/ 1 1) into 1 14.045 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.045 * [taylor]: Taking taylor expansion of n in f 14.045 * [backup-simplify]: Simplify n into n 14.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.045 * [backup-simplify]: Simplify (+ 1 0) into 1 14.045 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.045 * [taylor]: Taking taylor expansion of f in f 14.045 * [backup-simplify]: Simplify 0 into 0 14.045 * [backup-simplify]: Simplify 1 into 1 14.046 * [backup-simplify]: Simplify (* 1 1) into 1 14.046 * [backup-simplify]: Simplify (* 1 1) into 1 14.046 * [backup-simplify]: Simplify (* 1 1) into 1 14.046 * [backup-simplify]: Simplify (/ 1 1) into 1 14.046 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 14.046 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 14.046 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.046 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.046 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.046 * [taylor]: Taking taylor expansion of f in f 14.046 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify 1 into 1 14.047 * [backup-simplify]: Simplify (/ 1 1) into 1 14.047 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.047 * [taylor]: Taking taylor expansion of n in f 14.047 * [backup-simplify]: Simplify n into n 14.047 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.047 * [backup-simplify]: Simplify (+ 1 0) into 1 14.047 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.047 * [taylor]: Taking taylor expansion of f in f 14.047 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify 1 into 1 14.047 * [backup-simplify]: Simplify (* 1 1) into 1 14.048 * [backup-simplify]: Simplify (* 1 1) into 1 14.048 * [backup-simplify]: Simplify (* 1 1) into 1 14.048 * [backup-simplify]: Simplify (/ 1 1) into 1 14.048 * [taylor]: Taking taylor expansion of 1 in n 14.048 * [backup-simplify]: Simplify 1 into 1 14.048 * [backup-simplify]: Simplify 0 into 0 14.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.049 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.049 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 14.050 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 14.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 14.050 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.050 * [taylor]: Taking taylor expansion of 2 in n 14.050 * [backup-simplify]: Simplify 2 into 2 14.050 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.050 * [taylor]: Taking taylor expansion of n in n 14.050 * [backup-simplify]: Simplify 0 into 0 14.050 * [backup-simplify]: Simplify 1 into 1 14.050 * [backup-simplify]: Simplify (/ 1 1) into 1 14.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.052 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.053 * [backup-simplify]: Simplify (- 0) into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.054 * [backup-simplify]: Simplify (+ 0 0) into 0 14.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 14.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 14.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 14.055 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 14.055 * [taylor]: Taking taylor expansion of 3 in n 14.055 * [backup-simplify]: Simplify 3 into 3 14.055 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.055 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.055 * [taylor]: Taking taylor expansion of n in n 14.055 * [backup-simplify]: Simplify 0 into 0 14.055 * [backup-simplify]: Simplify 1 into 1 14.056 * [backup-simplify]: Simplify (* 1 1) into 1 14.056 * [backup-simplify]: Simplify (/ 1 1) into 1 14.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.062 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.062 * [backup-simplify]: Simplify 0 into 0 14.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.064 * [backup-simplify]: Simplify (- 0) into 0 14.064 * [backup-simplify]: Simplify 0 into 0 14.064 * [backup-simplify]: Simplify 0 into 0 14.064 * [backup-simplify]: Simplify 0 into 0 14.065 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 14.065 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 14.065 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 14.065 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 14.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.065 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.065 * [taylor]: Taking taylor expansion of f in n 14.065 * [backup-simplify]: Simplify f into f 14.065 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.065 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.065 * [taylor]: Taking taylor expansion of n in n 14.065 * [backup-simplify]: Simplify 0 into 0 14.065 * [backup-simplify]: Simplify 1 into 1 14.066 * [backup-simplify]: Simplify (/ 1 1) into 1 14.066 * [backup-simplify]: Simplify (+ 0 1) into 1 14.066 * [taylor]: Taking taylor expansion of (pow f 2) in n 14.066 * [taylor]: Taking taylor expansion of f in n 14.066 * [backup-simplify]: Simplify f into f 14.066 * [backup-simplify]: Simplify (* 1 1) into 1 14.067 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.067 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 14.067 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 14.067 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 14.067 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 14.067 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.067 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.067 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.067 * [taylor]: Taking taylor expansion of f in f 14.067 * [backup-simplify]: Simplify 0 into 0 14.067 * [backup-simplify]: Simplify 1 into 1 14.067 * [backup-simplify]: Simplify (/ 1 1) into 1 14.067 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.067 * [taylor]: Taking taylor expansion of n in f 14.067 * [backup-simplify]: Simplify n into n 14.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.068 * [backup-simplify]: Simplify (+ 1 0) into 1 14.068 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.068 * [taylor]: Taking taylor expansion of f in f 14.068 * [backup-simplify]: Simplify 0 into 0 14.068 * [backup-simplify]: Simplify 1 into 1 14.068 * [backup-simplify]: Simplify (* 1 1) into 1 14.069 * [backup-simplify]: Simplify (* 1 1) into 1 14.069 * [backup-simplify]: Simplify (* 1 1) into 1 14.070 * [backup-simplify]: Simplify (/ 1 1) into 1 14.070 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 14.070 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 14.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.070 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.070 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.070 * [taylor]: Taking taylor expansion of f in f 14.070 * [backup-simplify]: Simplify 0 into 0 14.070 * [backup-simplify]: Simplify 1 into 1 14.070 * [backup-simplify]: Simplify (/ 1 1) into 1 14.070 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.070 * [taylor]: Taking taylor expansion of n in f 14.070 * [backup-simplify]: Simplify n into n 14.070 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.071 * [backup-simplify]: Simplify (+ 1 0) into 1 14.071 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.071 * [taylor]: Taking taylor expansion of f in f 14.071 * [backup-simplify]: Simplify 0 into 0 14.071 * [backup-simplify]: Simplify 1 into 1 14.071 * [backup-simplify]: Simplify (* 1 1) into 1 14.072 * [backup-simplify]: Simplify (* 1 1) into 1 14.072 * [backup-simplify]: Simplify (* 1 1) into 1 14.072 * [backup-simplify]: Simplify (/ 1 1) into 1 14.072 * [taylor]: Taking taylor expansion of 1 in n 14.072 * [backup-simplify]: Simplify 1 into 1 14.073 * [backup-simplify]: Simplify 0 into 0 14.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.074 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.074 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 14.075 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 14.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 14.075 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.075 * [taylor]: Taking taylor expansion of 2 in n 14.075 * [backup-simplify]: Simplify 2 into 2 14.075 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.075 * [taylor]: Taking taylor expansion of n in n 14.075 * [backup-simplify]: Simplify 0 into 0 14.075 * [backup-simplify]: Simplify 1 into 1 14.076 * [backup-simplify]: Simplify (/ 1 1) into 1 14.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.080 * [backup-simplify]: Simplify (- 0) into 0 14.080 * [backup-simplify]: Simplify 0 into 0 14.080 * [backup-simplify]: Simplify 0 into 0 14.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.082 * [backup-simplify]: Simplify (+ 0 0) into 0 14.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 14.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 14.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 14.085 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 14.085 * [taylor]: Taking taylor expansion of 3 in n 14.085 * [backup-simplify]: Simplify 3 into 3 14.085 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.085 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.085 * [taylor]: Taking taylor expansion of n in n 14.085 * [backup-simplify]: Simplify 0 into 0 14.085 * [backup-simplify]: Simplify 1 into 1 14.085 * [backup-simplify]: Simplify (* 1 1) into 1 14.085 * [backup-simplify]: Simplify (/ 1 1) into 1 14.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.094 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.094 * [backup-simplify]: Simplify 0 into 0 14.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.097 * [backup-simplify]: Simplify (- 0) into 0 14.097 * [backup-simplify]: Simplify 0 into 0 14.097 * [backup-simplify]: Simplify 0 into 0 14.097 * [backup-simplify]: Simplify 0 into 0 14.097 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 14.098 * [backup-simplify]: Simplify (* (/ n (+ f n)) (/ n (+ f n))) into (/ (pow n 2) (pow (+ n f) 2)) 14.098 * [approximate]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in (n f) around 0 14.098 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in f 14.098 * [taylor]: Taking taylor expansion of (pow n 2) in f 14.098 * [taylor]: Taking taylor expansion of n in f 14.098 * [backup-simplify]: Simplify n into n 14.098 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 14.098 * [taylor]: Taking taylor expansion of (+ n f) in f 14.098 * [taylor]: Taking taylor expansion of n in f 14.098 * [backup-simplify]: Simplify n into n 14.098 * [taylor]: Taking taylor expansion of f in f 14.098 * [backup-simplify]: Simplify 0 into 0 14.098 * [backup-simplify]: Simplify 1 into 1 14.098 * [backup-simplify]: Simplify (+ n 0) into n 14.098 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.098 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.098 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 14.098 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 14.098 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.098 * [taylor]: Taking taylor expansion of n in n 14.098 * [backup-simplify]: Simplify 0 into 0 14.098 * [backup-simplify]: Simplify 1 into 1 14.098 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 14.098 * [taylor]: Taking taylor expansion of (+ n f) in n 14.099 * [taylor]: Taking taylor expansion of n in n 14.099 * [backup-simplify]: Simplify 0 into 0 14.099 * [backup-simplify]: Simplify 1 into 1 14.099 * [taylor]: Taking taylor expansion of f in n 14.099 * [backup-simplify]: Simplify f into f 14.099 * [backup-simplify]: Simplify (+ 0 f) into f 14.099 * [backup-simplify]: Simplify (* 1 1) into 1 14.099 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.099 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 14.099 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 14.099 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.099 * [taylor]: Taking taylor expansion of n in n 14.099 * [backup-simplify]: Simplify 0 into 0 14.099 * [backup-simplify]: Simplify 1 into 1 14.099 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 14.099 * [taylor]: Taking taylor expansion of (+ n f) in n 14.099 * [taylor]: Taking taylor expansion of n in n 14.099 * [backup-simplify]: Simplify 0 into 0 14.099 * [backup-simplify]: Simplify 1 into 1 14.100 * [taylor]: Taking taylor expansion of f in n 14.100 * [backup-simplify]: Simplify f into f 14.100 * [backup-simplify]: Simplify (+ 0 f) into f 14.100 * [backup-simplify]: Simplify (* 1 1) into 1 14.100 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.100 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 14.100 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 14.100 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.100 * [taylor]: Taking taylor expansion of f in f 14.100 * [backup-simplify]: Simplify 0 into 0 14.101 * [backup-simplify]: Simplify 1 into 1 14.101 * [backup-simplify]: Simplify (* 1 1) into 1 14.101 * [backup-simplify]: Simplify (/ 1 1) into 1 14.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.105 * [backup-simplify]: Simplify 0 into 0 14.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.106 * [backup-simplify]: Simplify (+ 1 0) into 1 14.106 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 14.106 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ (* 2 f) (pow f 2))))) into (- (* 2 (/ 1 (pow f 3)))) 14.106 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 14.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 14.106 * [taylor]: Taking taylor expansion of 2 in f 14.106 * [backup-simplify]: Simplify 2 into 2 14.106 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 14.106 * [taylor]: Taking taylor expansion of (pow f 3) in f 14.106 * [taylor]: Taking taylor expansion of f in f 14.106 * [backup-simplify]: Simplify 0 into 0 14.106 * [backup-simplify]: Simplify 1 into 1 14.107 * [backup-simplify]: Simplify (* 1 1) into 1 14.107 * [backup-simplify]: Simplify (* 1 1) into 1 14.108 * [backup-simplify]: Simplify (/ 1 1) into 1 14.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.117 * [backup-simplify]: Simplify (- 0) into 0 14.117 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.119 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.120 * [backup-simplify]: Simplify (+ 0 0) into 0 14.121 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 14.121 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ 1 (pow f 2))) (* (- (* 2 (/ 1 (pow f 3)))) (/ (* 2 f) (pow f 2))))) into (* 3 (/ 1 (pow f 4))) 14.121 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 4))) in f 14.122 * [taylor]: Taking taylor expansion of 3 in f 14.122 * [backup-simplify]: Simplify 3 into 3 14.122 * [taylor]: Taking taylor expansion of (/ 1 (pow f 4)) in f 14.122 * [taylor]: Taking taylor expansion of (pow f 4) in f 14.122 * [taylor]: Taking taylor expansion of f in f 14.122 * [backup-simplify]: Simplify 0 into 0 14.122 * [backup-simplify]: Simplify 1 into 1 14.127 * [backup-simplify]: Simplify (* 1 1) into 1 14.128 * [backup-simplify]: Simplify (* 1 1) into 1 14.128 * [backup-simplify]: Simplify (/ 1 1) into 1 14.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.142 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.142 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.146 * [backup-simplify]: Simplify (- 0) into 0 14.146 * [backup-simplify]: Simplify 0 into 0 14.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.147 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify (* (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 14.148 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 14.148 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 14.148 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 14.148 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.148 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.148 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.148 * [taylor]: Taking taylor expansion of f in f 14.148 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify 1 into 1 14.148 * [backup-simplify]: Simplify (/ 1 1) into 1 14.148 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.148 * [taylor]: Taking taylor expansion of n in f 14.148 * [backup-simplify]: Simplify n into n 14.148 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.149 * [backup-simplify]: Simplify (+ 1 0) into 1 14.149 * [taylor]: Taking taylor expansion of (pow n 2) in f 14.149 * [taylor]: Taking taylor expansion of n in f 14.149 * [backup-simplify]: Simplify n into n 14.149 * [backup-simplify]: Simplify (* 1 1) into 1 14.149 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.149 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 14.149 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 14.149 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.149 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.149 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.149 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.149 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.149 * [taylor]: Taking taylor expansion of f in n 14.149 * [backup-simplify]: Simplify f into f 14.149 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.149 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.149 * [taylor]: Taking taylor expansion of n in n 14.149 * [backup-simplify]: Simplify 0 into 0 14.149 * [backup-simplify]: Simplify 1 into 1 14.149 * [backup-simplify]: Simplify (/ 1 1) into 1 14.150 * [backup-simplify]: Simplify (+ 0 1) into 1 14.150 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.150 * [taylor]: Taking taylor expansion of n in n 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.150 * [backup-simplify]: Simplify (* 1 1) into 1 14.150 * [backup-simplify]: Simplify (* 1 1) into 1 14.150 * [backup-simplify]: Simplify (* 1 1) into 1 14.151 * [backup-simplify]: Simplify (/ 1 1) into 1 14.151 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.151 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.151 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.151 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.151 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.151 * [taylor]: Taking taylor expansion of f in n 14.151 * [backup-simplify]: Simplify f into f 14.151 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.151 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.151 * [taylor]: Taking taylor expansion of n in n 14.151 * [backup-simplify]: Simplify 0 into 0 14.151 * [backup-simplify]: Simplify 1 into 1 14.151 * [backup-simplify]: Simplify (/ 1 1) into 1 14.151 * [backup-simplify]: Simplify (+ 0 1) into 1 14.151 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.152 * [taylor]: Taking taylor expansion of n in n 14.152 * [backup-simplify]: Simplify 0 into 0 14.152 * [backup-simplify]: Simplify 1 into 1 14.152 * [backup-simplify]: Simplify (* 1 1) into 1 14.152 * [backup-simplify]: Simplify (* 1 1) into 1 14.152 * [backup-simplify]: Simplify (* 1 1) into 1 14.153 * [backup-simplify]: Simplify (/ 1 1) into 1 14.153 * [taylor]: Taking taylor expansion of 1 in f 14.153 * [backup-simplify]: Simplify 1 into 1 14.153 * [backup-simplify]: Simplify 0 into 0 14.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.154 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 14.154 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 14.154 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 14.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 14.154 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 14.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 14.154 * [taylor]: Taking taylor expansion of 2 in f 14.154 * [backup-simplify]: Simplify 2 into 2 14.155 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.155 * [taylor]: Taking taylor expansion of f in f 14.155 * [backup-simplify]: Simplify 0 into 0 14.155 * [backup-simplify]: Simplify 1 into 1 14.155 * [backup-simplify]: Simplify (/ 1 1) into 1 14.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.157 * [backup-simplify]: Simplify (- 0) into 0 14.158 * [backup-simplify]: Simplify 0 into 0 14.158 * [backup-simplify]: Simplify 0 into 0 14.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 14.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.159 * [backup-simplify]: Simplify (+ 0 0) into 0 14.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 14.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 14.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 14.160 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 14.160 * [taylor]: Taking taylor expansion of 3 in f 14.160 * [backup-simplify]: Simplify 3 into 3 14.160 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 14.160 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.160 * [taylor]: Taking taylor expansion of f in f 14.160 * [backup-simplify]: Simplify 0 into 0 14.160 * [backup-simplify]: Simplify 1 into 1 14.161 * [backup-simplify]: Simplify (* 1 1) into 1 14.161 * [backup-simplify]: Simplify (/ 1 1) into 1 14.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.166 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.166 * [backup-simplify]: Simplify 0 into 0 14.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.167 * [backup-simplify]: Simplify (- 0) into 0 14.167 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify 0 into 0 14.168 * [backup-simplify]: Simplify (* (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 14.168 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 14.168 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 14.168 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 14.168 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.168 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.168 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.168 * [taylor]: Taking taylor expansion of f in f 14.168 * [backup-simplify]: Simplify 0 into 0 14.168 * [backup-simplify]: Simplify 1 into 1 14.168 * [backup-simplify]: Simplify (/ 1 1) into 1 14.168 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.168 * [taylor]: Taking taylor expansion of n in f 14.168 * [backup-simplify]: Simplify n into n 14.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.169 * [backup-simplify]: Simplify (+ 1 0) into 1 14.169 * [taylor]: Taking taylor expansion of (pow n 2) in f 14.169 * [taylor]: Taking taylor expansion of n in f 14.169 * [backup-simplify]: Simplify n into n 14.169 * [backup-simplify]: Simplify (* 1 1) into 1 14.169 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.169 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 14.169 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 14.169 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.169 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.169 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.169 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.169 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.169 * [taylor]: Taking taylor expansion of f in n 14.169 * [backup-simplify]: Simplify f into f 14.169 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.169 * [taylor]: Taking taylor expansion of n in n 14.169 * [backup-simplify]: Simplify 0 into 0 14.169 * [backup-simplify]: Simplify 1 into 1 14.169 * [backup-simplify]: Simplify (/ 1 1) into 1 14.170 * [backup-simplify]: Simplify (+ 0 1) into 1 14.170 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.170 * [taylor]: Taking taylor expansion of n in n 14.170 * [backup-simplify]: Simplify 0 into 0 14.170 * [backup-simplify]: Simplify 1 into 1 14.170 * [backup-simplify]: Simplify (* 1 1) into 1 14.170 * [backup-simplify]: Simplify (* 1 1) into 1 14.170 * [backup-simplify]: Simplify (* 1 1) into 1 14.171 * [backup-simplify]: Simplify (/ 1 1) into 1 14.171 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.171 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.171 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.171 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.171 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.171 * [taylor]: Taking taylor expansion of f in n 14.171 * [backup-simplify]: Simplify f into f 14.171 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.171 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.171 * [taylor]: Taking taylor expansion of n in n 14.171 * [backup-simplify]: Simplify 0 into 0 14.171 * [backup-simplify]: Simplify 1 into 1 14.171 * [backup-simplify]: Simplify (/ 1 1) into 1 14.171 * [backup-simplify]: Simplify (+ 0 1) into 1 14.171 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.171 * [taylor]: Taking taylor expansion of n in n 14.172 * [backup-simplify]: Simplify 0 into 0 14.172 * [backup-simplify]: Simplify 1 into 1 14.172 * [backup-simplify]: Simplify (* 1 1) into 1 14.172 * [backup-simplify]: Simplify (* 1 1) into 1 14.172 * [backup-simplify]: Simplify (* 1 1) into 1 14.172 * [backup-simplify]: Simplify (/ 1 1) into 1 14.173 * [taylor]: Taking taylor expansion of 1 in f 14.173 * [backup-simplify]: Simplify 1 into 1 14.173 * [backup-simplify]: Simplify 0 into 0 14.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.174 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 14.174 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 14.174 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 14.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 14.174 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 14.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 14.174 * [taylor]: Taking taylor expansion of 2 in f 14.174 * [backup-simplify]: Simplify 2 into 2 14.174 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.174 * [taylor]: Taking taylor expansion of f in f 14.174 * [backup-simplify]: Simplify 0 into 0 14.174 * [backup-simplify]: Simplify 1 into 1 14.174 * [backup-simplify]: Simplify (/ 1 1) into 1 14.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.177 * [backup-simplify]: Simplify (- 0) into 0 14.177 * [backup-simplify]: Simplify 0 into 0 14.177 * [backup-simplify]: Simplify 0 into 0 14.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 14.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.179 * [backup-simplify]: Simplify (+ 0 0) into 0 14.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 14.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 14.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 14.181 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 14.181 * [taylor]: Taking taylor expansion of 3 in f 14.181 * [backup-simplify]: Simplify 3 into 3 14.182 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 14.182 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.182 * [taylor]: Taking taylor expansion of f in f 14.182 * [backup-simplify]: Simplify 0 into 0 14.182 * [backup-simplify]: Simplify 1 into 1 14.182 * [backup-simplify]: Simplify (* 1 1) into 1 14.182 * [backup-simplify]: Simplify (/ 1 1) into 1 14.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.191 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.191 * [backup-simplify]: Simplify 0 into 0 14.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.194 * [backup-simplify]: Simplify (- 0) into 0 14.194 * [backup-simplify]: Simplify 0 into 0 14.194 * [backup-simplify]: Simplify 0 into 0 14.194 * [backup-simplify]: Simplify 0 into 0 14.194 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2) 14.195 * [backup-simplify]: Simplify (* (/ n (+ f n)) (/ n (+ f n))) into (/ (pow n 2) (pow (+ n f) 2)) 14.195 * [approximate]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in (n f) around 0 14.195 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in f 14.195 * [taylor]: Taking taylor expansion of (pow n 2) in f 14.195 * [taylor]: Taking taylor expansion of n in f 14.195 * [backup-simplify]: Simplify n into n 14.195 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 14.195 * [taylor]: Taking taylor expansion of (+ n f) in f 14.195 * [taylor]: Taking taylor expansion of n in f 14.195 * [backup-simplify]: Simplify n into n 14.195 * [taylor]: Taking taylor expansion of f in f 14.195 * [backup-simplify]: Simplify 0 into 0 14.195 * [backup-simplify]: Simplify 1 into 1 14.195 * [backup-simplify]: Simplify (+ n 0) into n 14.195 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.195 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.196 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 14.196 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 14.196 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.196 * [taylor]: Taking taylor expansion of n in n 14.196 * [backup-simplify]: Simplify 0 into 0 14.196 * [backup-simplify]: Simplify 1 into 1 14.196 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 14.196 * [taylor]: Taking taylor expansion of (+ n f) in n 14.196 * [taylor]: Taking taylor expansion of n in n 14.196 * [backup-simplify]: Simplify 0 into 0 14.196 * [backup-simplify]: Simplify 1 into 1 14.196 * [taylor]: Taking taylor expansion of f in n 14.196 * [backup-simplify]: Simplify f into f 14.196 * [backup-simplify]: Simplify (+ 0 f) into f 14.196 * [backup-simplify]: Simplify (* 1 1) into 1 14.196 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.197 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 14.197 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 14.197 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.197 * [taylor]: Taking taylor expansion of n in n 14.197 * [backup-simplify]: Simplify 0 into 0 14.197 * [backup-simplify]: Simplify 1 into 1 14.197 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 14.197 * [taylor]: Taking taylor expansion of (+ n f) in n 14.197 * [taylor]: Taking taylor expansion of n in n 14.197 * [backup-simplify]: Simplify 0 into 0 14.197 * [backup-simplify]: Simplify 1 into 1 14.197 * [taylor]: Taking taylor expansion of f in n 14.197 * [backup-simplify]: Simplify f into f 14.197 * [backup-simplify]: Simplify (+ 0 f) into f 14.197 * [backup-simplify]: Simplify (* 1 1) into 1 14.197 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.197 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 14.198 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 14.198 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.198 * [taylor]: Taking taylor expansion of f in f 14.198 * [backup-simplify]: Simplify 0 into 0 14.198 * [backup-simplify]: Simplify 1 into 1 14.198 * [backup-simplify]: Simplify (* 1 1) into 1 14.198 * [backup-simplify]: Simplify (/ 1 1) into 1 14.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.202 * [backup-simplify]: Simplify 0 into 0 14.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.203 * [backup-simplify]: Simplify (+ 1 0) into 1 14.203 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 14.203 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ (* 2 f) (pow f 2))))) into (- (* 2 (/ 1 (pow f 3)))) 14.204 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 14.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 14.204 * [taylor]: Taking taylor expansion of 2 in f 14.204 * [backup-simplify]: Simplify 2 into 2 14.204 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 14.204 * [taylor]: Taking taylor expansion of (pow f 3) in f 14.204 * [taylor]: Taking taylor expansion of f in f 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify 1 into 1 14.204 * [backup-simplify]: Simplify (* 1 1) into 1 14.205 * [backup-simplify]: Simplify (* 1 1) into 1 14.205 * [backup-simplify]: Simplify (/ 1 1) into 1 14.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.215 * [backup-simplify]: Simplify (- 0) into 0 14.215 * [backup-simplify]: Simplify 0 into 0 14.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.217 * [backup-simplify]: Simplify 0 into 0 14.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.218 * [backup-simplify]: Simplify (+ 0 0) into 0 14.219 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 14.219 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ 1 (pow f 2))) (* (- (* 2 (/ 1 (pow f 3)))) (/ (* 2 f) (pow f 2))))) into (* 3 (/ 1 (pow f 4))) 14.219 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 4))) in f 14.219 * [taylor]: Taking taylor expansion of 3 in f 14.220 * [backup-simplify]: Simplify 3 into 3 14.220 * [taylor]: Taking taylor expansion of (/ 1 (pow f 4)) in f 14.220 * [taylor]: Taking taylor expansion of (pow f 4) in f 14.220 * [taylor]: Taking taylor expansion of f in f 14.220 * [backup-simplify]: Simplify 0 into 0 14.220 * [backup-simplify]: Simplify 1 into 1 14.220 * [backup-simplify]: Simplify (* 1 1) into 1 14.220 * [backup-simplify]: Simplify (* 1 1) into 1 14.221 * [backup-simplify]: Simplify (/ 1 1) into 1 14.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.233 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.233 * [backup-simplify]: Simplify 0 into 0 14.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.239 * [backup-simplify]: Simplify (- 0) into 0 14.239 * [backup-simplify]: Simplify 0 into 0 14.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.241 * [backup-simplify]: Simplify 0 into 0 14.241 * [backup-simplify]: Simplify 0 into 0 14.242 * [backup-simplify]: Simplify (* (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 14.242 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 14.242 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 14.242 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 14.242 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.242 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.242 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.242 * [taylor]: Taking taylor expansion of f in f 14.242 * [backup-simplify]: Simplify 0 into 0 14.242 * [backup-simplify]: Simplify 1 into 1 14.242 * [backup-simplify]: Simplify (/ 1 1) into 1 14.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.243 * [taylor]: Taking taylor expansion of n in f 14.243 * [backup-simplify]: Simplify n into n 14.243 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.243 * [backup-simplify]: Simplify (+ 1 0) into 1 14.243 * [taylor]: Taking taylor expansion of (pow n 2) in f 14.243 * [taylor]: Taking taylor expansion of n in f 14.243 * [backup-simplify]: Simplify n into n 14.244 * [backup-simplify]: Simplify (* 1 1) into 1 14.244 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.244 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 14.244 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 14.244 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.244 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.244 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.244 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.244 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.244 * [taylor]: Taking taylor expansion of f in n 14.244 * [backup-simplify]: Simplify f into f 14.244 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.244 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.244 * [taylor]: Taking taylor expansion of n in n 14.244 * [backup-simplify]: Simplify 0 into 0 14.244 * [backup-simplify]: Simplify 1 into 1 14.245 * [backup-simplify]: Simplify (/ 1 1) into 1 14.245 * [backup-simplify]: Simplify (+ 0 1) into 1 14.245 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.245 * [taylor]: Taking taylor expansion of n in n 14.245 * [backup-simplify]: Simplify 0 into 0 14.245 * [backup-simplify]: Simplify 1 into 1 14.246 * [backup-simplify]: Simplify (* 1 1) into 1 14.246 * [backup-simplify]: Simplify (* 1 1) into 1 14.247 * [backup-simplify]: Simplify (* 1 1) into 1 14.247 * [backup-simplify]: Simplify (/ 1 1) into 1 14.247 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.247 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.247 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.247 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.247 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.247 * [taylor]: Taking taylor expansion of f in n 14.247 * [backup-simplify]: Simplify f into f 14.247 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.247 * [taylor]: Taking taylor expansion of n in n 14.247 * [backup-simplify]: Simplify 0 into 0 14.247 * [backup-simplify]: Simplify 1 into 1 14.248 * [backup-simplify]: Simplify (/ 1 1) into 1 14.248 * [backup-simplify]: Simplify (+ 0 1) into 1 14.248 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.248 * [taylor]: Taking taylor expansion of n in n 14.248 * [backup-simplify]: Simplify 0 into 0 14.248 * [backup-simplify]: Simplify 1 into 1 14.249 * [backup-simplify]: Simplify (* 1 1) into 1 14.249 * [backup-simplify]: Simplify (* 1 1) into 1 14.249 * [backup-simplify]: Simplify (* 1 1) into 1 14.249 * [backup-simplify]: Simplify (/ 1 1) into 1 14.249 * [taylor]: Taking taylor expansion of 1 in f 14.249 * [backup-simplify]: Simplify 1 into 1 14.249 * [backup-simplify]: Simplify 0 into 0 14.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.251 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 14.251 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 14.251 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 14.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 14.251 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 14.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 14.251 * [taylor]: Taking taylor expansion of 2 in f 14.251 * [backup-simplify]: Simplify 2 into 2 14.251 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.251 * [taylor]: Taking taylor expansion of f in f 14.251 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify 1 into 1 14.251 * [backup-simplify]: Simplify (/ 1 1) into 1 14.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.258 * [backup-simplify]: Simplify (- 0) into 0 14.258 * [backup-simplify]: Simplify 0 into 0 14.258 * [backup-simplify]: Simplify 0 into 0 14.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 14.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.260 * [backup-simplify]: Simplify (+ 0 0) into 0 14.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 14.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 14.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 14.261 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 14.261 * [taylor]: Taking taylor expansion of 3 in f 14.261 * [backup-simplify]: Simplify 3 into 3 14.261 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 14.261 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.261 * [taylor]: Taking taylor expansion of f in f 14.261 * [backup-simplify]: Simplify 0 into 0 14.261 * [backup-simplify]: Simplify 1 into 1 14.261 * [backup-simplify]: Simplify (* 1 1) into 1 14.261 * [backup-simplify]: Simplify (/ 1 1) into 1 14.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.267 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.267 * [backup-simplify]: Simplify 0 into 0 14.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.268 * [backup-simplify]: Simplify (- 0) into 0 14.268 * [backup-simplify]: Simplify 0 into 0 14.268 * [backup-simplify]: Simplify 0 into 0 14.268 * [backup-simplify]: Simplify 0 into 0 14.269 * [backup-simplify]: Simplify (* (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 14.269 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 14.269 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 14.269 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 14.269 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.269 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.269 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.269 * [taylor]: Taking taylor expansion of f in f 14.269 * [backup-simplify]: Simplify 0 into 0 14.269 * [backup-simplify]: Simplify 1 into 1 14.269 * [backup-simplify]: Simplify (/ 1 1) into 1 14.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.269 * [taylor]: Taking taylor expansion of n in f 14.269 * [backup-simplify]: Simplify n into n 14.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.269 * [backup-simplify]: Simplify (+ 1 0) into 1 14.269 * [taylor]: Taking taylor expansion of (pow n 2) in f 14.269 * [taylor]: Taking taylor expansion of n in f 14.269 * [backup-simplify]: Simplify n into n 14.270 * [backup-simplify]: Simplify (* 1 1) into 1 14.270 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.270 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 14.270 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 14.270 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.270 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.270 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.270 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.270 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.270 * [taylor]: Taking taylor expansion of f in n 14.270 * [backup-simplify]: Simplify f into f 14.270 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.270 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.270 * [taylor]: Taking taylor expansion of n in n 14.270 * [backup-simplify]: Simplify 0 into 0 14.270 * [backup-simplify]: Simplify 1 into 1 14.270 * [backup-simplify]: Simplify (/ 1 1) into 1 14.271 * [backup-simplify]: Simplify (+ 0 1) into 1 14.271 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.271 * [taylor]: Taking taylor expansion of n in n 14.271 * [backup-simplify]: Simplify 0 into 0 14.271 * [backup-simplify]: Simplify 1 into 1 14.271 * [backup-simplify]: Simplify (* 1 1) into 1 14.271 * [backup-simplify]: Simplify (* 1 1) into 1 14.271 * [backup-simplify]: Simplify (* 1 1) into 1 14.272 * [backup-simplify]: Simplify (/ 1 1) into 1 14.272 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 14.272 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 14.272 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.272 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.272 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.272 * [taylor]: Taking taylor expansion of f in n 14.272 * [backup-simplify]: Simplify f into f 14.272 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.272 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.272 * [taylor]: Taking taylor expansion of n in n 14.272 * [backup-simplify]: Simplify 0 into 0 14.272 * [backup-simplify]: Simplify 1 into 1 14.272 * [backup-simplify]: Simplify (/ 1 1) into 1 14.272 * [backup-simplify]: Simplify (+ 0 1) into 1 14.272 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.272 * [taylor]: Taking taylor expansion of n in n 14.272 * [backup-simplify]: Simplify 0 into 0 14.272 * [backup-simplify]: Simplify 1 into 1 14.273 * [backup-simplify]: Simplify (* 1 1) into 1 14.273 * [backup-simplify]: Simplify (* 1 1) into 1 14.273 * [backup-simplify]: Simplify (* 1 1) into 1 14.273 * [backup-simplify]: Simplify (/ 1 1) into 1 14.273 * [taylor]: Taking taylor expansion of 1 in f 14.273 * [backup-simplify]: Simplify 1 into 1 14.273 * [backup-simplify]: Simplify 0 into 0 14.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.274 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 14.274 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 14.275 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 14.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 14.275 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 14.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 14.275 * [taylor]: Taking taylor expansion of 2 in f 14.275 * [backup-simplify]: Simplify 2 into 2 14.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.275 * [taylor]: Taking taylor expansion of f in f 14.275 * [backup-simplify]: Simplify 0 into 0 14.275 * [backup-simplify]: Simplify 1 into 1 14.275 * [backup-simplify]: Simplify (/ 1 1) into 1 14.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.278 * [backup-simplify]: Simplify (- 0) into 0 14.278 * [backup-simplify]: Simplify 0 into 0 14.278 * [backup-simplify]: Simplify 0 into 0 14.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 14.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.279 * [backup-simplify]: Simplify (+ 0 0) into 0 14.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 14.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 14.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 14.280 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 14.280 * [taylor]: Taking taylor expansion of 3 in f 14.280 * [backup-simplify]: Simplify 3 into 3 14.281 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 14.281 * [taylor]: Taking taylor expansion of (pow f 2) in f 14.281 * [taylor]: Taking taylor expansion of f in f 14.281 * [backup-simplify]: Simplify 0 into 0 14.281 * [backup-simplify]: Simplify 1 into 1 14.281 * [backup-simplify]: Simplify (* 1 1) into 1 14.281 * [backup-simplify]: Simplify (/ 1 1) into 1 14.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.290 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.290 * [backup-simplify]: Simplify 0 into 0 14.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.293 * [backup-simplify]: Simplify (- 0) into 0 14.293 * [backup-simplify]: Simplify 0 into 0 14.293 * [backup-simplify]: Simplify 0 into 0 14.293 * [backup-simplify]: Simplify 0 into 0 14.293 * * * [progress]: simplifying candidates 14.293 * * * * [progress]: [ 1 / 376 ] simplifiying candidate # 14.293 * * * * [progress]: [ 2 / 376 ] simplifiying candidate # 14.293 * * * * [progress]: [ 3 / 376 ] simplifiying candidate # 14.293 * * * * [progress]: [ 4 / 376 ] simplifiying candidate # 14.293 * * * * [progress]: [ 5 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 6 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 7 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 8 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 9 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 10 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 11 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 12 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 13 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 14 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 15 / 376 ] simplifiying candidate # 14.294 * * * * [progress]: [ 16 / 376 ] simplifiying candidate # 14.295 * * * * [progress]: [ 17 / 376 ] simplifiying candidate # 14.295 * * * * [progress]: [ 18 / 376 ] simplifiying candidate # 14.295 * * * * [progress]: [ 19 / 376 ] simplifiying candidate # 14.296 * * * * [progress]: [ 20 / 376 ] simplifiying candidate # 14.296 * * * * [progress]: [ 21 / 376 ] simplifiying candidate # 14.296 * * * * [progress]: [ 22 / 376 ] simplifiying candidate # 14.296 * * * * [progress]: [ 23 / 376 ] simplifiying candidate # 14.296 * * * * [progress]: [ 24 / 376 ] simplifiying candidate # 14.296 * * * * [progress]: [ 25 / 376 ] simplifiying candidate # 14.296 * * * * [progress]: [ 26 / 376 ] simplifiying 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candidate # 14.315 * * * * [progress]: [ 365 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 366 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 367 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 368 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 369 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 370 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 371 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 372 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 373 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 374 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 375 / 376 ] simplifiying candidate # 14.315 * * * * [progress]: [ 376 / 376 ] simplifiying candidate # 14.319 * [simplify]: Simplifying (expm1 (* (/ f (+ f n)) (/ f (+ f n)))), (log1p (* (/ f (+ f n)) (/ f (+ f n)))), (+ 1 1), (* (/ f (+ f n)) (/ f (+ f n))), (+ 1 1), (+ (- (log f) (log (+ f n))) 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[progress]: adding candidates to table 20.274 * [progress]: [Phase 3 of 3] Extracting. 20.275 * * [regime]: Finding splitpoints for: (# # # #) 20.281 * * * [regime-changes]: Trying 3 branch expressions: (n f (/ (- (+ f n)) (- f n))) 20.282 * * * * [regimes]: Trying to branch on n from (# # # #) 20.333 * * * * [regimes]: Trying to branch on f from (# # # #) 20.371 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 20.415 * * * [regime]: Found split indices: #