0.735 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.150 * * * [progress]: [2/2] Setting up program. 0.163 * [progress]: [Phase 2 of 3] Improving. 0.169 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.170 * * [simplify]: iteration 0: 6 enodes 0.178 * * [simplify]: iteration 1: 13 enodes 0.213 * * [simplify]: iteration 2: 16 enodes 0.220 * * [simplify]: iteration 3: 20 enodes 0.228 * * [simplify]: iteration 4: 24 enodes 0.237 * * [simplify]: iteration 5: 29 enodes 0.245 * * [simplify]: iteration 6: 31 enodes 0.252 * * [simplify]: iteration complete: 31 enodes 0.253 * * [simplify]: Extracting #0: cost 1 inf + 0 0.253 * * [simplify]: Extracting #1: cost 9 inf + 0 0.253 * * [simplify]: Extracting #2: cost 14 inf + 0 0.254 * * [simplify]: Extracting #3: cost 11 inf + 43 0.254 * * [simplify]: Extracting #4: cost 2 inf + 860 0.255 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.255 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.258 * * [progress]: iteration 1 / 4 0.258 * * * [progress]: picking best candidate 0.354 * * * * [pick]: Picked # 0.354 * * * [progress]: localizing error 0.379 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.517 * * * [progress]: generating series expansions 0.517 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.525 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.526 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.527 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.527 * [taylor]: Taking taylor expansion of -1 in n 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.527 * [taylor]: Taking taylor expansion of (+ n f) in n 0.527 * [taylor]: Taking taylor expansion of n in n 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of f in n 0.527 * [backup-simplify]: Simplify f into f 0.527 * [taylor]: Taking taylor expansion of (- f n) in n 0.527 * [taylor]: Taking taylor expansion of f in n 0.528 * [backup-simplify]: Simplify f into f 0.528 * [taylor]: Taking taylor expansion of n in n 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (+ 0 f) into f 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify (+ f 0) into f 0.529 * [backup-simplify]: Simplify (/ f f) into 1 0.529 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.529 * [taylor]: Taking taylor expansion of -1 in f 0.529 * [backup-simplify]: Simplify -1 into -1 0.529 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.529 * [taylor]: Taking taylor expansion of (+ n f) in f 0.529 * [taylor]: Taking taylor expansion of n in f 0.529 * [backup-simplify]: Simplify n into n 0.529 * [taylor]: Taking taylor expansion of f in f 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [taylor]: Taking taylor expansion of (- f n) in f 0.529 * [taylor]: Taking taylor expansion of f in f 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [taylor]: Taking taylor expansion of n in f 0.529 * [backup-simplify]: Simplify n into n 0.529 * [backup-simplify]: Simplify (+ n 0) into n 0.530 * [backup-simplify]: Simplify (- n) into (- n) 0.530 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.530 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.530 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.530 * [taylor]: Taking taylor expansion of -1 in f 0.530 * [backup-simplify]: Simplify -1 into -1 0.530 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.530 * [taylor]: Taking taylor expansion of (+ n f) in f 0.530 * [taylor]: Taking taylor expansion of n in f 0.530 * [backup-simplify]: Simplify n into n 0.530 * [taylor]: Taking taylor expansion of f in f 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of (- f n) in f 0.530 * [taylor]: Taking taylor expansion of f in f 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of n in f 0.530 * [backup-simplify]: Simplify n into n 0.530 * [backup-simplify]: Simplify (+ n 0) into n 0.530 * [backup-simplify]: Simplify (- n) into (- n) 0.530 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.530 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.532 * [backup-simplify]: Simplify (* -1 -1) into 1 0.532 * [taylor]: Taking taylor expansion of 1 in n 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (+ 0 1) into 1 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 1 0) into 1 0.535 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.536 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.536 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.536 * [taylor]: Taking taylor expansion of 2 in n 0.536 * [backup-simplify]: Simplify 2 into 2 0.536 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.536 * [taylor]: Taking taylor expansion of n in n 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.543 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.543 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.543 * [taylor]: Taking taylor expansion of 2 in n 0.543 * [backup-simplify]: Simplify 2 into 2 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.543 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [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)))) 0.554 * [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))) 0.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.554 * [taylor]: Taking taylor expansion of 2 in n 0.554 * [backup-simplify]: Simplify 2 into 2 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.554 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.573 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.573 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.573 * [taylor]: Taking taylor expansion of -1 in n 0.573 * [backup-simplify]: Simplify -1 into -1 0.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.573 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.573 * [taylor]: Taking taylor expansion of f in n 0.573 * [backup-simplify]: Simplify f into f 0.573 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.573 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.573 * [taylor]: Taking taylor expansion of n in n 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.574 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.574 * [taylor]: Taking taylor expansion of f in n 0.574 * [backup-simplify]: Simplify f into f 0.574 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.574 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [backup-simplify]: Simplify (+ 0 1) into 1 0.575 * [backup-simplify]: Simplify (- 1) into -1 0.575 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.576 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.576 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.576 * [taylor]: Taking taylor expansion of -1 in f 0.576 * [backup-simplify]: Simplify -1 into -1 0.576 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.576 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.576 * [taylor]: Taking taylor expansion of f in f 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.577 * [taylor]: Taking taylor expansion of n in f 0.577 * [backup-simplify]: Simplify n into n 0.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.577 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.577 * [taylor]: Taking taylor expansion of f in f 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.577 * [taylor]: Taking taylor expansion of n in f 0.577 * [backup-simplify]: Simplify n into n 0.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.578 * [backup-simplify]: Simplify (+ 1 0) into 1 0.578 * [backup-simplify]: Simplify (+ 1 0) into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.579 * [taylor]: Taking taylor expansion of -1 in f 0.579 * [backup-simplify]: Simplify -1 into -1 0.579 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.579 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.579 * [taylor]: Taking taylor expansion of f in f 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.580 * [taylor]: Taking taylor expansion of n in f 0.580 * [backup-simplify]: Simplify n into n 0.580 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.580 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.580 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.580 * [taylor]: Taking taylor expansion of f in f 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.581 * [taylor]: Taking taylor expansion of n in f 0.581 * [backup-simplify]: Simplify n into n 0.581 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.581 * [backup-simplify]: Simplify (+ 1 0) into 1 0.582 * [backup-simplify]: Simplify (+ 1 0) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [backup-simplify]: Simplify (* -1 1) into -1 0.583 * [taylor]: Taking taylor expansion of -1 in n 0.583 * [backup-simplify]: Simplify -1 into -1 0.583 * [backup-simplify]: Simplify -1 into -1 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.585 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.585 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.585 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.586 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.586 * [taylor]: Taking taylor expansion of 2 in n 0.586 * [backup-simplify]: Simplify 2 into 2 0.586 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.593 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.593 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.594 * [taylor]: Taking taylor expansion of 2 in n 0.594 * [backup-simplify]: Simplify 2 into 2 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.594 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [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))) 0.611 * [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)))) 0.611 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.611 * [taylor]: Taking taylor expansion of 2 in n 0.611 * [backup-simplify]: Simplify 2 into 2 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.611 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify -1 into -1 0.624 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.624 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.624 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.624 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.624 * [taylor]: Taking taylor expansion of f in n 0.624 * [backup-simplify]: Simplify f into f 0.624 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.625 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.625 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.626 * [taylor]: Taking taylor expansion of f in n 0.626 * [backup-simplify]: Simplify f into f 0.626 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.626 * [backup-simplify]: Simplify (+ 0 1) into 1 0.627 * [backup-simplify]: Simplify (+ 1 0) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.627 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.627 * [taylor]: Taking taylor expansion of f in f 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.628 * [taylor]: Taking taylor expansion of n in f 0.628 * [backup-simplify]: Simplify n into n 0.628 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.628 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.628 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.628 * [taylor]: Taking taylor expansion of n in f 0.628 * [backup-simplify]: Simplify n into n 0.628 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.628 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.628 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 0.630 * [backup-simplify]: Simplify (- 1) into -1 0.630 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.631 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.631 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.631 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.631 * [taylor]: Taking taylor expansion of f in f 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.632 * [taylor]: Taking taylor expansion of n in f 0.632 * [backup-simplify]: Simplify n into n 0.632 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.632 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.632 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.632 * [taylor]: Taking taylor expansion of n in f 0.632 * [backup-simplify]: Simplify n into n 0.632 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.632 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.632 * [taylor]: Taking taylor expansion of f in f 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (- 1) into -1 0.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.634 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.634 * [taylor]: Taking taylor expansion of -1 in n 0.634 * [backup-simplify]: Simplify -1 into -1 0.635 * [backup-simplify]: Simplify -1 into -1 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.637 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.637 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.637 * [taylor]: Taking taylor expansion of 2 in n 0.637 * [backup-simplify]: Simplify 2 into 2 0.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- 0) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.645 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.645 * [taylor]: Taking taylor expansion of 2 in n 0.645 * [backup-simplify]: Simplify 2 into 2 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.645 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (- 0) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [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)))) 0.659 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.660 * [taylor]: Taking taylor expansion of 2 in n 0.660 * [backup-simplify]: Simplify 2 into 2 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.660 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.661 * [backup-simplify]: Simplify (* 1 1) into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.663 * [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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify -1 into -1 0.671 * * * [progress]: simplifying candidates 0.674 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.678 * * [simplify]: iteration 0: 135 enodes 0.717 * * [simplify]: iteration 1: 316 enodes 0.826 * * [simplify]: iteration 2: 708 enodes 1.248 * * [simplify]: iteration 3: 2249 enodes 2.547 * * [simplify]: iteration complete: 5005 enodes 2.548 * * [simplify]: Extracting #0: cost 88 inf + 0 2.550 * * [simplify]: Extracting #1: cost 479 inf + 3 2.565 * * [simplify]: Extracting #2: cost 829 inf + 8175 2.585 * * [simplify]: Extracting #3: cost 779 inf + 76041 2.636 * * [simplify]: Extracting #4: cost 260 inf + 196234 2.702 * * [simplify]: Extracting #5: cost 91 inf + 238474 2.763 * * [simplify]: Extracting #6: cost 8 inf + 251008 2.843 * * [simplify]: Extracting #7: cost 0 inf + 253031 2.926 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (/ (- (sqrt (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (cbrt (+ n f)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ n f)))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (/ (+ n f) (cbrt (- f n)))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (- (/ 1 (- f n))) (* (- f n) (fma n n (* f (- f n)))) (* (- f n) (- f n)) 1 -1 -1 2.932 * * * [progress]: adding candidates to table 3.343 * * [progress]: iteration 2 / 4 3.343 * * * [progress]: picking best candidate 3.365 * * * * [pick]: Picked # 3.365 * * * [progress]: localizing error 3.392 * * * [progress]: generating rewritten candidates 3.392 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 3.428 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.522 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.599 * * * [progress]: generating series expansions 3.599 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 3.599 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.599 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.599 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.599 * [taylor]: Taking taylor expansion of -1 in n 3.599 * [backup-simplify]: Simplify -1 into -1 3.599 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.599 * [taylor]: Taking taylor expansion of (+ n f) in n 3.599 * [taylor]: Taking taylor expansion of n in n 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of f in n 3.599 * [backup-simplify]: Simplify f into f 3.599 * [taylor]: Taking taylor expansion of (- f n) in n 3.599 * [taylor]: Taking taylor expansion of f in n 3.599 * [backup-simplify]: Simplify f into f 3.599 * [taylor]: Taking taylor expansion of n in n 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (+ 0 f) into f 3.600 * [backup-simplify]: Simplify (- 0) into 0 3.600 * [backup-simplify]: Simplify (+ f 0) into f 3.600 * [backup-simplify]: Simplify (/ f f) into 1 3.600 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.600 * [taylor]: Taking taylor expansion of -1 in f 3.600 * [backup-simplify]: Simplify -1 into -1 3.600 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.600 * [taylor]: Taking taylor expansion of (+ n f) in f 3.600 * [taylor]: Taking taylor expansion of n in f 3.600 * [backup-simplify]: Simplify n into n 3.600 * [taylor]: Taking taylor expansion of f in f 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [taylor]: Taking taylor expansion of (- f n) in f 3.600 * [taylor]: Taking taylor expansion of f in f 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [taylor]: Taking taylor expansion of n in f 3.600 * [backup-simplify]: Simplify n into n 3.600 * [backup-simplify]: Simplify (+ n 0) into n 3.600 * [backup-simplify]: Simplify (- n) into (- n) 3.600 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.600 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.600 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.600 * [taylor]: Taking taylor expansion of -1 in f 3.600 * [backup-simplify]: Simplify -1 into -1 3.600 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.601 * [taylor]: Taking taylor expansion of (+ n f) in f 3.601 * [taylor]: Taking taylor expansion of n in f 3.601 * [backup-simplify]: Simplify n into n 3.601 * [taylor]: Taking taylor expansion of f in f 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of (- f n) in f 3.601 * [taylor]: Taking taylor expansion of f in f 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of n in f 3.601 * [backup-simplify]: Simplify n into n 3.601 * [backup-simplify]: Simplify (+ n 0) into n 3.601 * [backup-simplify]: Simplify (- n) into (- n) 3.601 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.601 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.601 * [backup-simplify]: Simplify (* -1 -1) into 1 3.601 * [taylor]: Taking taylor expansion of 1 in n 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (+ 0 1) into 1 3.602 * [backup-simplify]: Simplify (- 0) into 0 3.602 * [backup-simplify]: Simplify (+ 1 0) into 1 3.602 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.602 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.602 * [taylor]: Taking taylor expansion of 2 in n 3.602 * [backup-simplify]: Simplify 2 into 2 3.602 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.602 * [taylor]: Taking taylor expansion of n in n 3.602 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (/ 1 1) into 1 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.604 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (- 0) into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.605 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.605 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.605 * [taylor]: Taking taylor expansion of 2 in n 3.605 * [backup-simplify]: Simplify 2 into 2 3.605 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.605 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.605 * [taylor]: Taking taylor expansion of n in n 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.608 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (- 0) into 0 3.610 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [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)))) 3.611 * [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))) 3.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.611 * [taylor]: Taking taylor expansion of 2 in n 3.611 * [backup-simplify]: Simplify 2 into 2 3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.611 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.611 * [taylor]: Taking taylor expansion of n in n 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (* 1 1) into 1 3.612 * [backup-simplify]: Simplify (* 1 1) into 1 3.612 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 1 into 1 3.617 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.617 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.617 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.617 * [taylor]: Taking taylor expansion of -1 in n 3.617 * [backup-simplify]: Simplify -1 into -1 3.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.617 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.617 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.617 * [taylor]: Taking taylor expansion of f in n 3.618 * [backup-simplify]: Simplify f into f 3.618 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.618 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.618 * [taylor]: Taking taylor expansion of n in n 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.618 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.618 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.618 * [taylor]: Taking taylor expansion of f in n 3.618 * [backup-simplify]: Simplify f into f 3.618 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.618 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.618 * [taylor]: Taking taylor expansion of n in n 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [backup-simplify]: Simplify (+ 0 1) into 1 3.619 * [backup-simplify]: Simplify (- 1) into -1 3.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.619 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.620 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.620 * [taylor]: Taking taylor expansion of -1 in f 3.620 * [backup-simplify]: Simplify -1 into -1 3.620 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.620 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.620 * [taylor]: Taking taylor expansion of f in f 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (/ 1 1) into 1 3.620 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.620 * [taylor]: Taking taylor expansion of n in f 3.620 * [backup-simplify]: Simplify n into n 3.620 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.620 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.620 * [taylor]: Taking taylor expansion of f in f 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.621 * [taylor]: Taking taylor expansion of n in f 3.621 * [backup-simplify]: Simplify n into n 3.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.621 * [backup-simplify]: Simplify (+ 1 0) into 1 3.622 * [backup-simplify]: Simplify (+ 1 0) into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.622 * [taylor]: Taking taylor expansion of -1 in f 3.622 * [backup-simplify]: Simplify -1 into -1 3.622 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.622 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.622 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.622 * [taylor]: Taking taylor expansion of f in f 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (/ 1 1) into 1 3.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.623 * [taylor]: Taking taylor expansion of n in f 3.623 * [backup-simplify]: Simplify n into n 3.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.623 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.623 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.623 * [taylor]: Taking taylor expansion of f in f 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (/ 1 1) into 1 3.624 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.624 * [taylor]: Taking taylor expansion of n in f 3.624 * [backup-simplify]: Simplify n into n 3.624 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.624 * [backup-simplify]: Simplify (+ 1 0) into 1 3.624 * [backup-simplify]: Simplify (+ 1 0) into 1 3.625 * [backup-simplify]: Simplify (/ 1 1) into 1 3.625 * [backup-simplify]: Simplify (* -1 1) into -1 3.625 * [taylor]: Taking taylor expansion of -1 in n 3.625 * [backup-simplify]: Simplify -1 into -1 3.625 * [backup-simplify]: Simplify -1 into -1 3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.627 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.628 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.628 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.628 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.628 * [taylor]: Taking taylor expansion of 2 in n 3.628 * [backup-simplify]: Simplify 2 into 2 3.628 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.628 * [taylor]: Taking taylor expansion of n in n 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify (/ 1 1) into 1 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.631 * [backup-simplify]: Simplify (- 0) into 0 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.634 * [backup-simplify]: Simplify (- 0) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.637 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.637 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.637 * [taylor]: Taking taylor expansion of 2 in n 3.637 * [backup-simplify]: Simplify 2 into 2 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.637 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.637 * [taylor]: Taking taylor expansion of n in n 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.638 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.642 * [backup-simplify]: Simplify (- 0) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.652 * [backup-simplify]: Simplify (- 0) into 0 3.653 * [backup-simplify]: Simplify (+ 0 0) into 0 3.655 * [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))) 3.656 * [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)))) 3.656 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.656 * [taylor]: Taking taylor expansion of 2 in n 3.656 * [backup-simplify]: Simplify 2 into 2 3.656 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.656 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.656 * [taylor]: Taking taylor expansion of n in n 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (* 1 1) into 1 3.657 * [backup-simplify]: Simplify (* 1 1) into 1 3.657 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify -1 into -1 3.668 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.668 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.668 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.669 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.669 * [taylor]: Taking taylor expansion of f in n 3.669 * [backup-simplify]: Simplify f into f 3.669 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.669 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.669 * [taylor]: Taking taylor expansion of n in n 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (/ 1 1) into 1 3.669 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.669 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.669 * [taylor]: Taking taylor expansion of n in n 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.670 * [taylor]: Taking taylor expansion of f in n 3.670 * [backup-simplify]: Simplify f into f 3.670 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.670 * [backup-simplify]: Simplify (+ 0 1) into 1 3.671 * [backup-simplify]: Simplify (+ 1 0) into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.671 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.671 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.671 * [taylor]: Taking taylor expansion of f in f 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.672 * [taylor]: Taking taylor expansion of n in f 3.672 * [backup-simplify]: Simplify n into n 3.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.672 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.672 * [taylor]: Taking taylor expansion of n in f 3.672 * [backup-simplify]: Simplify n into n 3.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.672 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.672 * [taylor]: Taking taylor expansion of f in f 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [backup-simplify]: Simplify (+ 1 0) into 1 3.673 * [backup-simplify]: Simplify (- 1) into -1 3.673 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.673 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.673 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.673 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.673 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.673 * [taylor]: Taking taylor expansion of f in f 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.674 * [taylor]: Taking taylor expansion of n in f 3.674 * [backup-simplify]: Simplify n into n 3.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.674 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.674 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.674 * [taylor]: Taking taylor expansion of n in f 3.674 * [backup-simplify]: Simplify n into n 3.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.674 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.674 * [taylor]: Taking taylor expansion of f in f 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.674 * [backup-simplify]: Simplify (+ 1 0) into 1 3.674 * [backup-simplify]: Simplify (- 1) into -1 3.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.675 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.675 * [taylor]: Taking taylor expansion of -1 in n 3.675 * [backup-simplify]: Simplify -1 into -1 3.675 * [backup-simplify]: Simplify -1 into -1 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (- 0) into 0 3.676 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.677 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.677 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.677 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.677 * [taylor]: Taking taylor expansion of 2 in n 3.677 * [backup-simplify]: Simplify 2 into 2 3.677 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.677 * [taylor]: Taking taylor expansion of n in n 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.678 * [backup-simplify]: Simplify (- 0) into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.679 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (- 0) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.681 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.681 * [taylor]: Taking taylor expansion of 2 in n 3.681 * [backup-simplify]: Simplify 2 into 2 3.681 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.681 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.681 * [taylor]: Taking taylor expansion of n in n 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* 1 1) into 1 3.681 * [backup-simplify]: Simplify (/ 1 1) into 1 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.684 * [backup-simplify]: Simplify (- 0) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.685 * [backup-simplify]: Simplify (- 0) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.686 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.687 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [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)))) 3.689 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.689 * [taylor]: Taking taylor expansion of 2 in n 3.689 * [backup-simplify]: Simplify 2 into 2 3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.689 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.689 * [taylor]: Taking taylor expansion of n in n 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (* 1 1) into 1 3.690 * [backup-simplify]: Simplify (* 1 1) into 1 3.690 * [backup-simplify]: Simplify (/ 1 1) into 1 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.695 * [backup-simplify]: Simplify (- 0) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify -1 into -1 3.695 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.696 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 3.696 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 3.696 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 3.696 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.696 * [taylor]: Taking taylor expansion of -1 in n 3.696 * [backup-simplify]: Simplify -1 into -1 3.696 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.696 * [taylor]: Taking taylor expansion of (+ n f) in n 3.696 * [taylor]: Taking taylor expansion of n in n 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [taylor]: Taking taylor expansion of f in n 3.696 * [backup-simplify]: Simplify f into f 3.696 * [taylor]: Taking taylor expansion of (- f n) in n 3.696 * [taylor]: Taking taylor expansion of f in n 3.696 * [backup-simplify]: Simplify f into f 3.696 * [taylor]: Taking taylor expansion of n in n 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (+ 0 f) into f 3.696 * [backup-simplify]: Simplify (- 0) into 0 3.696 * [backup-simplify]: Simplify (+ f 0) into f 3.696 * [backup-simplify]: Simplify (/ f f) into 1 3.697 * [backup-simplify]: Simplify (* -1 1) into -1 3.697 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.697 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.697 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.697 * [taylor]: Taking taylor expansion of -1 in f 3.697 * [backup-simplify]: Simplify -1 into -1 3.697 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.697 * [taylor]: Taking taylor expansion of (+ n f) in f 3.697 * [taylor]: Taking taylor expansion of n in f 3.697 * [backup-simplify]: Simplify n into n 3.697 * [taylor]: Taking taylor expansion of f in f 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [taylor]: Taking taylor expansion of (- f n) in f 3.697 * [taylor]: Taking taylor expansion of f in f 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [taylor]: Taking taylor expansion of n in f 3.697 * [backup-simplify]: Simplify n into n 3.697 * [backup-simplify]: Simplify (+ n 0) into n 3.697 * [backup-simplify]: Simplify (- n) into (- n) 3.697 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.697 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.698 * [backup-simplify]: Simplify (* -1 -1) into 1 3.698 * [backup-simplify]: Simplify (exp 1) into E 3.698 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.698 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.698 * [taylor]: Taking taylor expansion of -1 in f 3.698 * [backup-simplify]: Simplify -1 into -1 3.698 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.698 * [taylor]: Taking taylor expansion of (+ n f) in f 3.698 * [taylor]: Taking taylor expansion of n in f 3.698 * [backup-simplify]: Simplify n into n 3.698 * [taylor]: Taking taylor expansion of f in f 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of (- f n) in f 3.698 * [taylor]: Taking taylor expansion of f in f 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of n in f 3.698 * [backup-simplify]: Simplify n into n 3.698 * [backup-simplify]: Simplify (+ n 0) into n 3.698 * [backup-simplify]: Simplify (- n) into (- n) 3.698 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.698 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.698 * [backup-simplify]: Simplify (* -1 -1) into 1 3.698 * [backup-simplify]: Simplify (exp 1) into E 3.698 * [taylor]: Taking taylor expansion of E in n 3.698 * [backup-simplify]: Simplify E into E 3.698 * [backup-simplify]: Simplify E into E 3.699 * [backup-simplify]: Simplify (+ 0 1) into 1 3.699 * [backup-simplify]: Simplify (- 0) into 0 3.700 * [backup-simplify]: Simplify (+ 1 0) into 1 3.700 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.701 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.701 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.701 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 3.701 * [taylor]: Taking taylor expansion of 2 in n 3.701 * [backup-simplify]: Simplify 2 into 2 3.701 * [taylor]: Taking taylor expansion of (/ E n) in n 3.701 * [taylor]: Taking taylor expansion of E in n 3.701 * [backup-simplify]: Simplify E into E 3.701 * [taylor]: Taking taylor expansion of n in n 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (/ E 1) into E 3.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (- 0) into 0 3.705 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.706 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.707 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.707 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 3.707 * [taylor]: Taking taylor expansion of 4 in n 3.707 * [backup-simplify]: Simplify 4 into 4 3.707 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 3.707 * [taylor]: Taking taylor expansion of E in n 3.707 * [backup-simplify]: Simplify E into E 3.707 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.707 * [taylor]: Taking taylor expansion of n in n 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (* 1 1) into 1 3.708 * [backup-simplify]: Simplify (/ E 1) into E 3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (- 0) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [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)))) 3.718 * [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))) 3.719 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.719 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 3.719 * [taylor]: Taking taylor expansion of 22/3 in n 3.719 * [backup-simplify]: Simplify 22/3 into 22/3 3.719 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 3.719 * [taylor]: Taking taylor expansion of E in n 3.719 * [backup-simplify]: Simplify E into E 3.719 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.719 * [taylor]: Taking taylor expansion of n in n 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (* 1 1) into 1 3.720 * [backup-simplify]: Simplify (* 1 1) into 1 3.721 * [backup-simplify]: Simplify (/ E 1) into E 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify E into E 3.732 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 3.732 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 3.732 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.732 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.732 * [taylor]: Taking taylor expansion of -1 in n 3.732 * [backup-simplify]: Simplify -1 into -1 3.732 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.732 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.732 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.732 * [taylor]: Taking taylor expansion of f in n 3.732 * [backup-simplify]: Simplify f into f 3.732 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.732 * [taylor]: Taking taylor expansion of n in n 3.732 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (/ 1 1) into 1 3.733 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.733 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.733 * [taylor]: Taking taylor expansion of f in n 3.733 * [backup-simplify]: Simplify f into f 3.733 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.733 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.733 * [taylor]: Taking taylor expansion of n in n 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (/ 1 1) into 1 3.734 * [backup-simplify]: Simplify (+ 0 1) into 1 3.735 * [backup-simplify]: Simplify (- 1) into -1 3.735 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.735 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.736 * [backup-simplify]: Simplify (* -1 -1) into 1 3.736 * [backup-simplify]: Simplify (exp 1) into E 3.736 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.736 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.736 * [taylor]: Taking taylor expansion of -1 in f 3.736 * [backup-simplify]: Simplify -1 into -1 3.736 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.736 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.736 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.736 * [taylor]: Taking taylor expansion of f in f 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (/ 1 1) into 1 3.737 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.737 * [taylor]: Taking taylor expansion of n in f 3.737 * [backup-simplify]: Simplify n into n 3.737 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.737 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.737 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.737 * [taylor]: Taking taylor expansion of f in f 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (/ 1 1) into 1 3.737 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.737 * [taylor]: Taking taylor expansion of n in f 3.737 * [backup-simplify]: Simplify n into n 3.737 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.738 * [backup-simplify]: Simplify (+ 1 0) into 1 3.738 * [backup-simplify]: Simplify (+ 1 0) into 1 3.739 * [backup-simplify]: Simplify (/ 1 1) into 1 3.739 * [backup-simplify]: Simplify (* -1 1) into -1 3.740 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.740 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.740 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.740 * [taylor]: Taking taylor expansion of -1 in f 3.740 * [backup-simplify]: Simplify -1 into -1 3.740 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.740 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.740 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.740 * [taylor]: Taking taylor expansion of f in f 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ 1 1) into 1 3.740 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.740 * [taylor]: Taking taylor expansion of n in f 3.740 * [backup-simplify]: Simplify n into n 3.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.740 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.740 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.741 * [taylor]: Taking taylor expansion of f in f 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.741 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.741 * [taylor]: Taking taylor expansion of n in f 3.741 * [backup-simplify]: Simplify n into n 3.741 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.742 * [backup-simplify]: Simplify (+ 1 0) into 1 3.742 * [backup-simplify]: Simplify (+ 1 0) into 1 3.742 * [backup-simplify]: Simplify (/ 1 1) into 1 3.743 * [backup-simplify]: Simplify (* -1 1) into -1 3.743 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.743 * [taylor]: Taking taylor expansion of (exp -1) in n 3.743 * [taylor]: Taking taylor expansion of -1 in n 3.743 * [backup-simplify]: Simplify -1 into -1 3.744 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.744 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.746 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.746 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.747 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.747 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.747 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 3.747 * [taylor]: Taking taylor expansion of -2 in n 3.747 * [backup-simplify]: Simplify -2 into -2 3.747 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.747 * [taylor]: Taking taylor expansion of (exp -1) in n 3.747 * [taylor]: Taking taylor expansion of -1 in n 3.747 * [backup-simplify]: Simplify -1 into -1 3.748 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.748 * [taylor]: Taking taylor expansion of n in n 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.749 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.752 * [backup-simplify]: Simplify (+ 0 0) into 0 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.753 * [backup-simplify]: Simplify (- 0) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.754 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.755 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.755 * [taylor]: Taking taylor expansion of 0 in n 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 0 into 0 3.756 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.760 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [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))) 3.762 * [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)))) 3.763 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.763 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.763 * [taylor]: Taking taylor expansion of 2/3 in n 3.763 * [backup-simplify]: Simplify 2/3 into 2/3 3.763 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.763 * [taylor]: Taking taylor expansion of (exp -1) in n 3.763 * [taylor]: Taking taylor expansion of -1 in n 3.763 * [backup-simplify]: Simplify -1 into -1 3.763 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.763 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.763 * [taylor]: Taking taylor expansion of n in n 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (* 1 1) into 1 3.764 * [backup-simplify]: Simplify (* 1 1) into 1 3.764 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.765 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.772 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.775 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 3.775 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 3.775 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.775 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.775 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.775 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.775 * [taylor]: Taking taylor expansion of f in n 3.775 * [backup-simplify]: Simplify f into f 3.775 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.775 * [taylor]: Taking taylor expansion of n in n 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (/ 1 1) into 1 3.776 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.776 * [taylor]: Taking taylor expansion of n in n 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (/ 1 1) into 1 3.776 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.776 * [taylor]: Taking taylor expansion of f in n 3.776 * [backup-simplify]: Simplify f into f 3.776 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.777 * [backup-simplify]: Simplify (+ 0 1) into 1 3.777 * [backup-simplify]: Simplify (+ 1 0) into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [backup-simplify]: Simplify (exp 1) into E 3.778 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.778 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.778 * [taylor]: Taking taylor expansion of f in f 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.778 * [taylor]: Taking taylor expansion of n in f 3.778 * [backup-simplify]: Simplify n into n 3.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.778 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.778 * [taylor]: Taking taylor expansion of n in f 3.778 * [backup-simplify]: Simplify n into n 3.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.779 * [taylor]: Taking taylor expansion of f in f 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [backup-simplify]: Simplify (+ 1 0) into 1 3.780 * [backup-simplify]: Simplify (- 1) into -1 3.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.781 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.781 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.781 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.781 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.781 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.781 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.781 * [taylor]: Taking taylor expansion of f in f 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.782 * [taylor]: Taking taylor expansion of n in f 3.782 * [backup-simplify]: Simplify n into n 3.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.782 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.782 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.782 * [taylor]: Taking taylor expansion of n in f 3.782 * [backup-simplify]: Simplify n into n 3.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.782 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.782 * [taylor]: Taking taylor expansion of f in f 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify (/ 1 1) into 1 3.783 * [backup-simplify]: Simplify (+ 1 0) into 1 3.783 * [backup-simplify]: Simplify (- 1) into -1 3.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.784 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.785 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.785 * [taylor]: Taking taylor expansion of (exp -1) in n 3.785 * [taylor]: Taking taylor expansion of -1 in n 3.785 * [backup-simplify]: Simplify -1 into -1 3.785 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.786 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (- 0) into 0 3.788 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.788 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.789 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.789 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 3.789 * [taylor]: Taking taylor expansion of -2 in n 3.789 * [backup-simplify]: Simplify -2 into -2 3.789 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.789 * [taylor]: Taking taylor expansion of (exp -1) in n 3.789 * [taylor]: Taking taylor expansion of -1 in n 3.789 * [backup-simplify]: Simplify -1 into -1 3.789 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.789 * [taylor]: Taking taylor expansion of n in n 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.791 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (- 0) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.799 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.799 * [taylor]: Taking taylor expansion of 0 in n 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.807 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (- 0) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [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)))) 3.810 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.810 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.810 * [taylor]: Taking taylor expansion of 2/3 in n 3.810 * [backup-simplify]: Simplify 2/3 into 2/3 3.810 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.810 * [taylor]: Taking taylor expansion of (exp -1) in n 3.810 * [taylor]: Taking taylor expansion of -1 in n 3.810 * [backup-simplify]: Simplify -1 into -1 3.810 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.811 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.811 * [taylor]: Taking taylor expansion of n in n 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (* 1 1) into 1 3.811 * [backup-simplify]: Simplify (* 1 1) into 1 3.812 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.813 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.819 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.821 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.821 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 3.821 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.821 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.821 * [taylor]: Taking taylor expansion of -1 in n 3.821 * [backup-simplify]: Simplify -1 into -1 3.821 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.821 * [taylor]: Taking taylor expansion of (+ n f) in n 3.821 * [taylor]: Taking taylor expansion of n in n 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of f in n 3.821 * [backup-simplify]: Simplify f into f 3.821 * [taylor]: Taking taylor expansion of (- f n) in n 3.821 * [taylor]: Taking taylor expansion of f in n 3.821 * [backup-simplify]: Simplify f into f 3.821 * [taylor]: Taking taylor expansion of n in n 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.822 * [backup-simplify]: Simplify (+ 0 f) into f 3.822 * [backup-simplify]: Simplify (- 0) into 0 3.822 * [backup-simplify]: Simplify (+ f 0) into f 3.822 * [backup-simplify]: Simplify (/ f f) into 1 3.822 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.822 * [taylor]: Taking taylor expansion of -1 in f 3.822 * [backup-simplify]: Simplify -1 into -1 3.822 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.822 * [taylor]: Taking taylor expansion of (+ n f) in f 3.822 * [taylor]: Taking taylor expansion of n in f 3.822 * [backup-simplify]: Simplify n into n 3.822 * [taylor]: Taking taylor expansion of f in f 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of (- f n) in f 3.822 * [taylor]: Taking taylor expansion of f in f 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of n in f 3.822 * [backup-simplify]: Simplify n into n 3.822 * [backup-simplify]: Simplify (+ n 0) into n 3.822 * [backup-simplify]: Simplify (- n) into (- n) 3.822 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.822 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.822 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.822 * [taylor]: Taking taylor expansion of -1 in f 3.822 * [backup-simplify]: Simplify -1 into -1 3.822 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.822 * [taylor]: Taking taylor expansion of (+ n f) in f 3.822 * [taylor]: Taking taylor expansion of n in f 3.822 * [backup-simplify]: Simplify n into n 3.822 * [taylor]: Taking taylor expansion of f in f 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of (- f n) in f 3.822 * [taylor]: Taking taylor expansion of f in f 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of n in f 3.822 * [backup-simplify]: Simplify n into n 3.823 * [backup-simplify]: Simplify (+ n 0) into n 3.823 * [backup-simplify]: Simplify (- n) into (- n) 3.823 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.823 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.823 * [backup-simplify]: Simplify (* -1 -1) into 1 3.823 * [taylor]: Taking taylor expansion of 1 in n 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (+ 0 1) into 1 3.823 * [backup-simplify]: Simplify (- 0) into 0 3.824 * [backup-simplify]: Simplify (+ 1 0) into 1 3.824 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.824 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.824 * [taylor]: Taking taylor expansion of 2 in n 3.824 * [backup-simplify]: Simplify 2 into 2 3.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.824 * [taylor]: Taking taylor expansion of n in n 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.825 * [backup-simplify]: Simplify (/ 1 1) into 1 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (- 0) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.827 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.827 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.827 * [taylor]: Taking taylor expansion of 2 in n 3.827 * [backup-simplify]: Simplify 2 into 2 3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.827 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.827 * [taylor]: Taking taylor expansion of n in n 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.827 * [backup-simplify]: Simplify (* 1 1) into 1 3.827 * [backup-simplify]: Simplify (/ 1 1) into 1 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.832 * [backup-simplify]: Simplify (- 0) into 0 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.832 * [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)))) 3.833 * [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))) 3.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.833 * [taylor]: Taking taylor expansion of 2 in n 3.833 * [backup-simplify]: Simplify 2 into 2 3.833 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.833 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.833 * [taylor]: Taking taylor expansion of n in n 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (* 1 1) into 1 3.833 * [backup-simplify]: Simplify (* 1 1) into 1 3.834 * [backup-simplify]: Simplify (/ 1 1) into 1 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.841 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.842 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.842 * [taylor]: Taking taylor expansion of -1 in n 3.842 * [backup-simplify]: Simplify -1 into -1 3.842 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.842 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.842 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.842 * [taylor]: Taking taylor expansion of f in n 3.842 * [backup-simplify]: Simplify f into f 3.842 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.842 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.842 * [taylor]: Taking taylor expansion of n in n 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.843 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.843 * [taylor]: Taking taylor expansion of f in n 3.843 * [backup-simplify]: Simplify f into f 3.843 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.843 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.843 * [taylor]: Taking taylor expansion of n in n 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (/ 1 1) into 1 3.843 * [backup-simplify]: Simplify (+ 0 1) into 1 3.844 * [backup-simplify]: Simplify (- 1) into -1 3.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.845 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.845 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.845 * [taylor]: Taking taylor expansion of -1 in f 3.845 * [backup-simplify]: Simplify -1 into -1 3.845 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.845 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.845 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.845 * [taylor]: Taking taylor expansion of f in f 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (/ 1 1) into 1 3.845 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.845 * [taylor]: Taking taylor expansion of n in f 3.845 * [backup-simplify]: Simplify n into n 3.845 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.845 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.845 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.845 * [taylor]: Taking taylor expansion of f in f 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (/ 1 1) into 1 3.846 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.846 * [taylor]: Taking taylor expansion of n in f 3.846 * [backup-simplify]: Simplify n into n 3.846 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.846 * [backup-simplify]: Simplify (+ 1 0) into 1 3.847 * [backup-simplify]: Simplify (+ 1 0) into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.847 * [taylor]: Taking taylor expansion of -1 in f 3.847 * [backup-simplify]: Simplify -1 into -1 3.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.847 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.847 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.848 * [taylor]: Taking taylor expansion of f in f 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.848 * [taylor]: Taking taylor expansion of n in f 3.848 * [backup-simplify]: Simplify n into n 3.848 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.848 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.848 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.848 * [taylor]: Taking taylor expansion of f in f 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.849 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.849 * [taylor]: Taking taylor expansion of n in f 3.849 * [backup-simplify]: Simplify n into n 3.849 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.849 * [backup-simplify]: Simplify (+ 1 0) into 1 3.849 * [backup-simplify]: Simplify (+ 1 0) into 1 3.850 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [backup-simplify]: Simplify (* -1 1) into -1 3.850 * [taylor]: Taking taylor expansion of -1 in n 3.850 * [backup-simplify]: Simplify -1 into -1 3.850 * [backup-simplify]: Simplify -1 into -1 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.852 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.852 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.852 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.852 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.852 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.852 * [taylor]: Taking taylor expansion of 2 in n 3.852 * [backup-simplify]: Simplify 2 into 2 3.852 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.852 * [taylor]: Taking taylor expansion of n in n 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.854 * [backup-simplify]: Simplify (- 0) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.856 * [backup-simplify]: Simplify (+ 0 0) into 0 3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.857 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.857 * [taylor]: Taking taylor expansion of 2 in n 3.857 * [backup-simplify]: Simplify 2 into 2 3.857 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.857 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.857 * [taylor]: Taking taylor expansion of n in n 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (* 1 1) into 1 3.857 * [backup-simplify]: Simplify (/ 1 1) into 1 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.860 * [backup-simplify]: Simplify (- 0) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.863 * [backup-simplify]: Simplify (+ 0 0) into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.864 * [backup-simplify]: Simplify (- 0) into 0 3.864 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [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))) 3.865 * [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)))) 3.865 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.866 * [taylor]: Taking taylor expansion of 2 in n 3.866 * [backup-simplify]: Simplify 2 into 2 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.866 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.866 * [taylor]: Taking taylor expansion of n in n 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (- 0) into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify -1 into -1 3.872 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.872 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.872 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.872 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.872 * [taylor]: Taking taylor expansion of f in n 3.872 * [backup-simplify]: Simplify f into f 3.872 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.872 * [taylor]: Taking taylor expansion of n in n 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.873 * [taylor]: Taking taylor expansion of n in n 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.873 * [taylor]: Taking taylor expansion of f in n 3.873 * [backup-simplify]: Simplify f into f 3.873 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.873 * [backup-simplify]: Simplify (+ 0 1) into 1 3.873 * [backup-simplify]: Simplify (+ 1 0) into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.874 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.874 * [taylor]: Taking taylor expansion of f in f 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.874 * [taylor]: Taking taylor expansion of n in f 3.874 * [backup-simplify]: Simplify n into n 3.874 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.874 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.874 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.874 * [taylor]: Taking taylor expansion of n in f 3.874 * [backup-simplify]: Simplify n into n 3.874 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.874 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.874 * [taylor]: Taking taylor expansion of f in f 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [backup-simplify]: Simplify (+ 1 0) into 1 3.875 * [backup-simplify]: Simplify (- 1) into -1 3.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.876 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.876 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.876 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.876 * [taylor]: Taking taylor expansion of f in f 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (/ 1 1) into 1 3.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.877 * [taylor]: Taking taylor expansion of n in f 3.877 * [backup-simplify]: Simplify n into n 3.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.877 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.877 * [taylor]: Taking taylor expansion of n in f 3.877 * [backup-simplify]: Simplify n into n 3.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.877 * [taylor]: Taking taylor expansion of f in f 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [backup-simplify]: Simplify (+ 1 0) into 1 3.878 * [backup-simplify]: Simplify (- 1) into -1 3.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.879 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.879 * [taylor]: Taking taylor expansion of -1 in n 3.879 * [backup-simplify]: Simplify -1 into -1 3.879 * [backup-simplify]: Simplify -1 into -1 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.881 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.881 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.881 * [taylor]: Taking taylor expansion of 2 in n 3.881 * [backup-simplify]: Simplify 2 into 2 3.881 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.881 * [taylor]: Taking taylor expansion of n in n 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.883 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (- 0) into 0 3.887 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.888 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.888 * [taylor]: Taking taylor expansion of 2 in n 3.888 * [backup-simplify]: Simplify 2 into 2 3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.888 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.888 * [taylor]: Taking taylor expansion of n in n 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (* 1 1) into 1 3.889 * [backup-simplify]: Simplify (/ 1 1) into 1 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.894 * [backup-simplify]: Simplify (- 0) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.896 * [backup-simplify]: Simplify (- 0) into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (- 0) into 0 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [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)))) 3.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.899 * [taylor]: Taking taylor expansion of 2 in n 3.899 * [backup-simplify]: Simplify 2 into 2 3.899 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.899 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.899 * [taylor]: Taking taylor expansion of n in n 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (* 1 1) into 1 3.899 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (/ 1 1) into 1 3.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (- 0) into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify -1 into -1 3.905 * * * [progress]: simplifying candidates 3.909 * [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 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1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 3.912 * * [simplify]: iteration 0: 247 enodes 3.983 * * [simplify]: iteration 1: 448 enodes 4.105 * * [simplify]: iteration 2: 936 enodes 4.521 * * [simplify]: iteration 3: 2834 enodes 5.600 * * [simplify]: iteration complete: 5000 enodes 5.601 * * [simplify]: Extracting #0: cost 136 inf + 0 5.604 * * [simplify]: Extracting #1: cost 670 inf + 75 5.611 * * [simplify]: Extracting #2: cost 1054 inf + 947 5.629 * * [simplify]: Extracting #3: cost 1055 inf + 30812 5.697 * * [simplify]: Extracting #4: cost 411 inf + 172445 5.794 * * [simplify]: Extracting #5: cost 97 inf + 263013 5.850 * * [simplify]: Extracting #6: cost 13 inf + 282361 5.946 * * [simplify]: Extracting #7: cost 0 inf + 286806 6.032 * [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)))) (* (- (/ (+ f n) (- f n))) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (cbrt (- (/ (+ f n) (- f n)))) (* (- (/ (+ f n) (- f n))) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (+ f n) (- (- f n)) 0 (/ (+ f n) (- f n)) (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (* (/ (cbrt (- (+ f n))) (sqrt (- f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) 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n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (sqrt (+ f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 1 (- (+ f n)) (/ (- (+ f n)) (- (* f (* f f)) (* (* n n) n))) (- (/ 1 (- f n))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ 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)))) 1 -1 -1 E (/ 1 E) (/ 1 E) 1 -1 -1 6.054 * * * [progress]: adding candidates to table 7.196 * * [progress]: iteration 3 / 4 7.196 * * * [progress]: picking best candidate 7.207 * * * * [pick]: Picked # 7.207 * * * [progress]: localizing error 7.240 * * * [progress]: generating rewritten candidates 7.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 7.532 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 7.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 7.676 * * * [progress]: generating series expansions 7.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.677 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) into (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) 7.677 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in (f n) around 0 7.677 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in n 7.677 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.677 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.677 * [taylor]: Taking taylor expansion of -1 in n 7.677 * [backup-simplify]: Simplify -1 into -1 7.678 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.679 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.679 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 7.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 7.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 7.679 * [taylor]: Taking taylor expansion of 1/3 in n 7.679 * [backup-simplify]: Simplify 1/3 into 1/3 7.679 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 7.679 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 7.679 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.679 * [taylor]: Taking taylor expansion of (+ n f) in n 7.679 * [taylor]: Taking taylor expansion of n in n 7.679 * [backup-simplify]: Simplify 0 into 0 7.679 * [backup-simplify]: Simplify 1 into 1 7.679 * [taylor]: Taking taylor expansion of f in n 7.680 * [backup-simplify]: Simplify f into f 7.680 * [backup-simplify]: Simplify (+ 0 f) into f 7.680 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 7.680 * [taylor]: Taking taylor expansion of (- f n) in n 7.680 * [taylor]: Taking taylor expansion of f in n 7.680 * [backup-simplify]: Simplify f into f 7.680 * [taylor]: Taking taylor expansion of n in n 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 1 into 1 7.680 * [backup-simplify]: Simplify (- 0) into 0 7.680 * [backup-simplify]: Simplify (+ f 0) into f 7.680 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.681 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.681 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 7.681 * [backup-simplify]: Simplify (log 1) into 0 7.682 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.683 * [backup-simplify]: Simplify (+ 1 0) into 1 7.683 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 7.684 * [backup-simplify]: Simplify (- 1) into -1 7.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.684 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 7.685 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 7.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.686 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.686 * [backup-simplify]: Simplify (exp 0) into 1 7.686 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 7.686 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 7.686 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.686 * [taylor]: Taking taylor expansion of -1 in f 7.686 * [backup-simplify]: Simplify -1 into -1 7.687 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.687 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.687 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 7.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 7.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 7.687 * [taylor]: Taking taylor expansion of 1/3 in f 7.688 * [backup-simplify]: Simplify 1/3 into 1/3 7.688 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 7.688 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.688 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.688 * [taylor]: Taking taylor expansion of (+ n f) in f 7.688 * [taylor]: Taking taylor expansion of n in f 7.688 * [backup-simplify]: Simplify n into n 7.688 * [taylor]: Taking taylor expansion of f in f 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (+ n 0) into n 7.688 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.688 * [taylor]: Taking taylor expansion of (- f n) in f 7.688 * [taylor]: Taking taylor expansion of f in f 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [taylor]: Taking taylor expansion of n in f 7.688 * [backup-simplify]: Simplify n into n 7.688 * [backup-simplify]: Simplify (- n) into (- n) 7.688 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.688 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.688 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.689 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.689 * [backup-simplify]: Simplify (log 1) into 0 7.689 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.690 * [backup-simplify]: Simplify (+ 0 1) into 1 7.690 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.690 * [backup-simplify]: Simplify (- 0) into 0 7.691 * [backup-simplify]: Simplify (+ 1 0) into 1 7.691 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.691 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.693 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.693 * [backup-simplify]: Simplify (exp 0) into 1 7.693 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 7.693 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 7.693 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.693 * [taylor]: Taking taylor expansion of -1 in f 7.693 * [backup-simplify]: Simplify -1 into -1 7.693 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.694 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.694 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 7.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 7.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 7.694 * [taylor]: Taking taylor expansion of 1/3 in f 7.694 * [backup-simplify]: Simplify 1/3 into 1/3 7.694 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 7.694 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.694 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.694 * [taylor]: Taking taylor expansion of (+ n f) in f 7.694 * [taylor]: Taking taylor expansion of n in f 7.694 * [backup-simplify]: Simplify n into n 7.694 * [taylor]: Taking taylor expansion of f in f 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [backup-simplify]: Simplify (+ n 0) into n 7.694 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.694 * [taylor]: Taking taylor expansion of (- f n) in f 7.695 * [taylor]: Taking taylor expansion of f in f 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [taylor]: Taking taylor expansion of n in f 7.695 * [backup-simplify]: Simplify n into n 7.695 * [backup-simplify]: Simplify (- n) into (- n) 7.695 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.695 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.695 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.695 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.696 * [backup-simplify]: Simplify (log 1) into 0 7.696 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.696 * [backup-simplify]: Simplify (+ 0 1) into 1 7.697 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.697 * [backup-simplify]: Simplify (- 0) into 0 7.697 * [backup-simplify]: Simplify (+ 1 0) into 1 7.697 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.698 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.699 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.699 * [backup-simplify]: Simplify (exp 0) into 1 7.700 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.702 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.702 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.702 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.702 * [taylor]: Taking taylor expansion of -1 in n 7.702 * [backup-simplify]: Simplify -1 into -1 7.703 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.704 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.705 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.706 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 7.706 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.707 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.709 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 4/3 n)) (* 0 1)) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 7.709 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 7.709 * [taylor]: Taking taylor expansion of 4/3 in n 7.709 * [backup-simplify]: Simplify 4/3 into 4/3 7.709 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 7.709 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.709 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.709 * [taylor]: Taking taylor expansion of -1 in n 7.709 * [backup-simplify]: Simplify -1 into -1 7.710 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.710 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.711 * [taylor]: Taking taylor expansion of n in n 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.712 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.714 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.715 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 7.718 * [backup-simplify]: Simplify (- 0) into 0 7.718 * [backup-simplify]: Simplify (+ 0 0) into 0 7.719 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 7.719 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 7.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 7.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 7.721 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 7.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.723 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.724 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 7.724 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 7.724 * [taylor]: Taking taylor expansion of 8/9 in n 7.724 * [backup-simplify]: Simplify 8/9 into 8/9 7.724 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 7.724 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.724 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.724 * [taylor]: Taking taylor expansion of -1 in n 7.724 * [backup-simplify]: Simplify -1 into -1 7.724 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.725 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.725 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.725 * [taylor]: Taking taylor expansion of n in n 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.726 * [backup-simplify]: Simplify (* 1 1) into 1 7.727 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.729 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.730 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 7.732 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.734 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 7.735 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.737 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify (+ 0 0) into 0 7.738 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 7.738 * [backup-simplify]: Simplify (- 0) into 0 7.738 * [backup-simplify]: Simplify (+ 0 0) into 0 7.739 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 7.739 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 7.742 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 7.742 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 7.743 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 7.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.745 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.746 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 68/81 (pow n 3))) (+ (* 0 (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1)))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 7.746 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 7.746 * [taylor]: Taking taylor expansion of 68/81 in n 7.746 * [backup-simplify]: Simplify 68/81 into 68/81 7.746 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 7.746 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.746 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.746 * [taylor]: Taking taylor expansion of -1 in n 7.746 * [backup-simplify]: Simplify -1 into -1 7.747 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.747 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.747 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.747 * [taylor]: Taking taylor expansion of n in n 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.748 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.753 * [backup-simplify]: Simplify (* 1 1) into 1 7.753 * [backup-simplify]: Simplify (* 1 1) into 1 7.755 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.757 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.760 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.762 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 7.768 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) 7.768 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in (f n) around 0 7.768 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in n 7.768 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 7.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 7.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 7.768 * [taylor]: Taking taylor expansion of 1/3 in n 7.768 * [backup-simplify]: Simplify 1/3 into 1/3 7.768 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 7.768 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 7.768 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.768 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.769 * [taylor]: Taking taylor expansion of f in n 7.769 * [backup-simplify]: Simplify f into f 7.769 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.769 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.769 * [taylor]: Taking taylor expansion of n in n 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [backup-simplify]: Simplify (/ 1 1) into 1 7.770 * [backup-simplify]: Simplify (+ 0 1) into 1 7.770 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 7.770 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.770 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.770 * [taylor]: Taking taylor expansion of f in n 7.770 * [backup-simplify]: Simplify f into f 7.770 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.770 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.770 * [taylor]: Taking taylor expansion of n in n 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [backup-simplify]: Simplify (- 1) into -1 7.771 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.772 * [backup-simplify]: Simplify (* 1 1) into 1 7.772 * [backup-simplify]: Simplify (* -1 -1) into 1 7.773 * [backup-simplify]: Simplify (/ 1 1) into 1 7.773 * [backup-simplify]: Simplify (log 1) into 0 7.773 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.774 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.774 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 7.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.776 * [backup-simplify]: Simplify (- 0) into 0 7.776 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.776 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 7.776 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 7.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.777 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.777 * [backup-simplify]: Simplify (exp 0) into 1 7.777 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.777 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.778 * [taylor]: Taking taylor expansion of -1 in n 7.778 * [backup-simplify]: Simplify -1 into -1 7.778 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.779 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.779 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 7.779 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 7.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 7.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 7.779 * [taylor]: Taking taylor expansion of 1/3 in f 7.779 * [backup-simplify]: Simplify 1/3 into 1/3 7.779 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 7.779 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.779 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.779 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.779 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.779 * [taylor]: Taking taylor expansion of f in f 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1 1) into 1 7.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.780 * [taylor]: Taking taylor expansion of n in f 7.780 * [backup-simplify]: Simplify n into n 7.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.780 * [backup-simplify]: Simplify (+ 1 0) into 1 7.780 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.780 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.780 * [taylor]: Taking taylor expansion of f in f 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.781 * [backup-simplify]: Simplify (/ 1 1) into 1 7.781 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.781 * [taylor]: Taking taylor expansion of n in f 7.781 * [backup-simplify]: Simplify n into n 7.781 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.781 * [backup-simplify]: Simplify (+ 1 0) into 1 7.782 * [backup-simplify]: Simplify (* 1 1) into 1 7.782 * [backup-simplify]: Simplify (* 1 1) into 1 7.783 * [backup-simplify]: Simplify (/ 1 1) into 1 7.783 * [backup-simplify]: Simplify (log 1) into 0 7.783 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.784 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.785 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.786 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.786 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.787 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.787 * [backup-simplify]: Simplify (exp 0) into 1 7.787 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 7.787 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.787 * [taylor]: Taking taylor expansion of -1 in f 7.787 * [backup-simplify]: Simplify -1 into -1 7.788 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.788 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.788 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 7.789 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 7.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 7.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 7.789 * [taylor]: Taking taylor expansion of 1/3 in f 7.789 * [backup-simplify]: Simplify 1/3 into 1/3 7.789 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 7.789 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.789 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.789 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.789 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.789 * [taylor]: Taking taylor expansion of f in f 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 1 into 1 7.789 * [backup-simplify]: Simplify (/ 1 1) into 1 7.789 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.789 * [taylor]: Taking taylor expansion of n in f 7.789 * [backup-simplify]: Simplify n into n 7.789 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.790 * [backup-simplify]: Simplify (+ 1 0) into 1 7.790 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.790 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.790 * [taylor]: Taking taylor expansion of f in f 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [backup-simplify]: Simplify (/ 1 1) into 1 7.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.790 * [taylor]: Taking taylor expansion of n in f 7.791 * [backup-simplify]: Simplify n into n 7.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.791 * [backup-simplify]: Simplify (+ 1 0) into 1 7.791 * [backup-simplify]: Simplify (* 1 1) into 1 7.792 * [backup-simplify]: Simplify (* 1 1) into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.793 * [backup-simplify]: Simplify (log 1) into 0 7.793 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.794 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.794 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.795 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.796 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.796 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.797 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.797 * [backup-simplify]: Simplify (exp 0) into 1 7.797 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 7.797 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.797 * [taylor]: Taking taylor expansion of -1 in f 7.797 * [backup-simplify]: Simplify -1 into -1 7.798 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.799 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.800 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.802 * [backup-simplify]: Simplify (* 1 (pow (cbrt -1) 2)) into (pow (cbrt -1) 2) 7.802 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.802 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.802 * [taylor]: Taking taylor expansion of -1 in n 7.802 * [backup-simplify]: Simplify -1 into -1 7.802 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.803 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.804 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.805 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 7.805 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.805 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.806 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 4/3 n) (pow (cbrt -1) 2))) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 7.806 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 7.806 * [taylor]: Taking taylor expansion of 4/3 in n 7.807 * [backup-simplify]: Simplify 4/3 into 4/3 7.807 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 7.807 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.807 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.807 * [taylor]: Taking taylor expansion of -1 in n 7.807 * [backup-simplify]: Simplify -1 into -1 7.807 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.807 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.807 * [taylor]: Taking taylor expansion of n in n 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.809 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.810 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.812 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.813 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.814 * [backup-simplify]: Simplify (+ 0 0) into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.816 * [backup-simplify]: Simplify (- 0) into 0 7.816 * [backup-simplify]: Simplify (+ 0 0) into 0 7.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 7.817 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 7.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 7.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 7.819 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 7.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (* (/ 8/9 (pow n 2)) (pow (cbrt -1) 2)))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 7.820 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 7.820 * [taylor]: Taking taylor expansion of 8/9 in n 7.820 * [backup-simplify]: Simplify 8/9 into 8/9 7.820 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 7.820 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.820 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.820 * [taylor]: Taking taylor expansion of -1 in n 7.820 * [backup-simplify]: Simplify -1 into -1 7.820 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.821 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.821 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.821 * [taylor]: Taking taylor expansion of n in n 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.822 * [backup-simplify]: Simplify (* 1 1) into 1 7.823 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.825 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.826 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.830 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.833 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.834 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.835 * [backup-simplify]: Simplify (+ 0 0) into 0 7.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.837 * [backup-simplify]: Simplify (- 0) into 0 7.837 * [backup-simplify]: Simplify (+ 0 0) into 0 7.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 7.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 7.841 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 7.842 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 7.843 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 7.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (+ (* (/ 8/9 (pow n 2)) 0) (* (/ 68/81 (pow n 3)) (pow (cbrt -1) 2))))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 7.845 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 7.846 * [taylor]: Taking taylor expansion of 68/81 in n 7.846 * [backup-simplify]: Simplify 68/81 into 68/81 7.846 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 7.846 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 7.846 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.846 * [taylor]: Taking taylor expansion of -1 in n 7.846 * [backup-simplify]: Simplify -1 into -1 7.846 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.847 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.847 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.847 * [taylor]: Taking taylor expansion of n in n 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 1 into 1 7.849 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.849 * [backup-simplify]: Simplify (* 1 1) into 1 7.849 * [backup-simplify]: Simplify (* 1 1) into 1 7.851 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.856 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 7.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.864 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.870 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 7.871 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 7.871 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 7.871 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 7.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 7.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 7.871 * [taylor]: Taking taylor expansion of 1/3 in n 7.871 * [backup-simplify]: Simplify 1/3 into 1/3 7.871 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 7.871 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 7.871 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.871 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.871 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.871 * [taylor]: Taking taylor expansion of f in n 7.871 * [backup-simplify]: Simplify f into f 7.871 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.871 * [taylor]: Taking taylor expansion of n in n 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 1 into 1 7.872 * [backup-simplify]: Simplify (/ 1 1) into 1 7.872 * [backup-simplify]: Simplify (+ 0 1) into 1 7.872 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 7.872 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.872 * [taylor]: Taking taylor expansion of n in n 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [backup-simplify]: Simplify (/ 1 1) into 1 7.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.872 * [taylor]: Taking taylor expansion of f in n 7.872 * [backup-simplify]: Simplify f into f 7.872 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.873 * [backup-simplify]: Simplify (+ 1 0) into 1 7.873 * [backup-simplify]: Simplify (* 1 1) into 1 7.873 * [backup-simplify]: Simplify (* 1 1) into 1 7.873 * [backup-simplify]: Simplify (/ 1 1) into 1 7.874 * [backup-simplify]: Simplify (log 1) into 0 7.874 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.874 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.874 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 7.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.875 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.875 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.875 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 7.875 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 7.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.876 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.876 * [backup-simplify]: Simplify (exp 0) into 1 7.876 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 7.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 7.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 7.876 * [taylor]: Taking taylor expansion of 1/3 in f 7.876 * [backup-simplify]: Simplify 1/3 into 1/3 7.876 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 7.876 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.876 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.876 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.876 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.876 * [taylor]: Taking taylor expansion of f in f 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 1 into 1 7.877 * [backup-simplify]: Simplify (/ 1 1) into 1 7.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.877 * [taylor]: Taking taylor expansion of n in f 7.877 * [backup-simplify]: Simplify n into n 7.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.877 * [backup-simplify]: Simplify (+ 1 0) into 1 7.877 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.877 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.877 * [taylor]: Taking taylor expansion of n in f 7.877 * [backup-simplify]: Simplify n into n 7.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.877 * [taylor]: Taking taylor expansion of f in f 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [backup-simplify]: Simplify (/ 1 1) into 1 7.878 * [backup-simplify]: Simplify (- 1) into -1 7.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.878 * [backup-simplify]: Simplify (* 1 1) into 1 7.878 * [backup-simplify]: Simplify (* -1 -1) into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.879 * [backup-simplify]: Simplify (log 1) into 0 7.879 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.880 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.880 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.880 * [backup-simplify]: Simplify (- 0) into 0 7.880 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.881 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 7.881 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.881 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.881 * [backup-simplify]: Simplify (exp 0) into 1 7.881 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 7.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 7.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 7.882 * [taylor]: Taking taylor expansion of 1/3 in f 7.882 * [backup-simplify]: Simplify 1/3 into 1/3 7.882 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 7.882 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.882 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.882 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.882 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.882 * [taylor]: Taking taylor expansion of f in f 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (/ 1 1) into 1 7.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.882 * [taylor]: Taking taylor expansion of n in f 7.882 * [backup-simplify]: Simplify n into n 7.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.882 * [backup-simplify]: Simplify (+ 1 0) into 1 7.882 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.882 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.882 * [taylor]: Taking taylor expansion of n in f 7.882 * [backup-simplify]: Simplify n into n 7.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.882 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.882 * [taylor]: Taking taylor expansion of f in f 7.882 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.883 * [backup-simplify]: Simplify (/ 1 1) into 1 7.883 * [backup-simplify]: Simplify (- 1) into -1 7.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.884 * [backup-simplify]: Simplify (* 1 1) into 1 7.884 * [backup-simplify]: Simplify (* -1 -1) into 1 7.884 * [backup-simplify]: Simplify (/ 1 1) into 1 7.884 * [backup-simplify]: Simplify (log 1) into 0 7.884 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.885 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (- 0) into 0 7.886 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.886 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 7.886 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.887 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.887 * [backup-simplify]: Simplify (exp 0) into 1 7.887 * [taylor]: Taking taylor expansion of 1 in n 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify 1 into 1 7.888 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.888 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 7.888 * [taylor]: Taking taylor expansion of 4/3 in n 7.888 * [backup-simplify]: Simplify 4/3 into 4/3 7.888 * [taylor]: Taking taylor expansion of n in n 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 1 into 1 7.888 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 7.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.889 * [backup-simplify]: Simplify (+ 0 0) into 0 7.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.891 * [backup-simplify]: Simplify (- 0) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 7.892 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 7.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 7.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 7.894 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 7.894 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 7.894 * [taylor]: Taking taylor expansion of 8/9 in n 7.895 * [backup-simplify]: Simplify 8/9 into 8/9 7.895 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.895 * [taylor]: Taking taylor expansion of n in n 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (* 1 1) into 1 7.895 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.899 * [backup-simplify]: Simplify (+ 0 0) into 0 7.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (- 0) into 0 7.900 * [backup-simplify]: Simplify (+ 0 0) into 0 7.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 7.904 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 7.904 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 7.905 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 7.905 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 7.905 * [taylor]: Taking taylor expansion of 68/81 in n 7.905 * [backup-simplify]: Simplify 68/81 into 68/81 7.905 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.905 * [taylor]: Taking taylor expansion of n in n 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (* 1 1) into 1 7.906 * [backup-simplify]: Simplify (* 1 1) into 1 7.906 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 7.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 7.911 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.911 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.911 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.911 * [taylor]: Taking taylor expansion of -1 in n 7.911 * [backup-simplify]: Simplify -1 into -1 7.911 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.911 * [taylor]: Taking taylor expansion of (+ n f) in n 7.911 * [taylor]: Taking taylor expansion of n in n 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [taylor]: Taking taylor expansion of f in n 7.911 * [backup-simplify]: Simplify f into f 7.911 * [taylor]: Taking taylor expansion of (- f n) in n 7.911 * [taylor]: Taking taylor expansion of f in n 7.911 * [backup-simplify]: Simplify f into f 7.912 * [taylor]: Taking taylor expansion of n in n 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (+ 0 f) into f 7.912 * [backup-simplify]: Simplify (- 0) into 0 7.912 * [backup-simplify]: Simplify (+ f 0) into f 7.912 * [backup-simplify]: Simplify (/ f f) into 1 7.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.912 * [taylor]: Taking taylor expansion of -1 in f 7.912 * [backup-simplify]: Simplify -1 into -1 7.912 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.912 * [taylor]: Taking taylor expansion of (+ n f) in f 7.912 * [taylor]: Taking taylor expansion of n in f 7.912 * [backup-simplify]: Simplify n into n 7.912 * [taylor]: Taking taylor expansion of f in f 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [taylor]: Taking taylor expansion of (- f n) in f 7.912 * [taylor]: Taking taylor expansion of f in f 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [taylor]: Taking taylor expansion of n in f 7.912 * [backup-simplify]: Simplify n into n 7.912 * [backup-simplify]: Simplify (+ n 0) into n 7.912 * [backup-simplify]: Simplify (- n) into (- n) 7.912 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.912 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.912 * [taylor]: Taking taylor expansion of -1 in f 7.912 * [backup-simplify]: Simplify -1 into -1 7.912 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.912 * [taylor]: Taking taylor expansion of (+ n f) in f 7.912 * [taylor]: Taking taylor expansion of n in f 7.912 * [backup-simplify]: Simplify n into n 7.912 * [taylor]: Taking taylor expansion of f in f 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [taylor]: Taking taylor expansion of (- f n) in f 7.912 * [taylor]: Taking taylor expansion of f in f 7.912 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [taylor]: Taking taylor expansion of n in f 7.913 * [backup-simplify]: Simplify n into n 7.913 * [backup-simplify]: Simplify (+ n 0) into n 7.913 * [backup-simplify]: Simplify (- n) into (- n) 7.913 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.913 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.913 * [backup-simplify]: Simplify (* -1 -1) into 1 7.913 * [taylor]: Taking taylor expansion of 1 in n 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify (+ 0 1) into 1 7.914 * [backup-simplify]: Simplify (- 0) into 0 7.914 * [backup-simplify]: Simplify (+ 1 0) into 1 7.914 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.914 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.914 * [taylor]: Taking taylor expansion of 2 in n 7.914 * [backup-simplify]: Simplify 2 into 2 7.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.914 * [taylor]: Taking taylor expansion of n in n 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 1 into 1 7.915 * [backup-simplify]: Simplify (/ 1 1) into 1 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify (+ 0 0) into 0 7.916 * [backup-simplify]: Simplify (- 0) into 0 7.916 * [backup-simplify]: Simplify (+ 0 0) into 0 7.916 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.917 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.917 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.917 * [taylor]: Taking taylor expansion of 2 in n 7.917 * [backup-simplify]: Simplify 2 into 2 7.917 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.917 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.917 * [taylor]: Taking taylor expansion of n in n 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.917 * [backup-simplify]: Simplify (* 1 1) into 1 7.918 * [backup-simplify]: Simplify (/ 1 1) into 1 7.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [backup-simplify]: Simplify (- 0) into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.923 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.923 * [taylor]: Taking taylor expansion of 2 in n 7.923 * [backup-simplify]: Simplify 2 into 2 7.923 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.923 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.923 * [taylor]: Taking taylor expansion of n in n 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 1 into 1 7.923 * [backup-simplify]: Simplify (* 1 1) into 1 7.924 * [backup-simplify]: Simplify (* 1 1) into 1 7.924 * [backup-simplify]: Simplify (/ 1 1) into 1 7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.929 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.929 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.929 * [taylor]: Taking taylor expansion of -1 in n 7.929 * [backup-simplify]: Simplify -1 into -1 7.929 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.929 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.929 * [taylor]: Taking taylor expansion of f in n 7.929 * [backup-simplify]: Simplify f into f 7.929 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.929 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.929 * [taylor]: Taking taylor expansion of n in n 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (/ 1 1) into 1 7.930 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.930 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.930 * [taylor]: Taking taylor expansion of f in n 7.930 * [backup-simplify]: Simplify f into f 7.930 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.930 * [taylor]: Taking taylor expansion of n in n 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (/ 1 1) into 1 7.930 * [backup-simplify]: Simplify (+ 0 1) into 1 7.931 * [backup-simplify]: Simplify (- 1) into -1 7.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.931 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.931 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.931 * [taylor]: Taking taylor expansion of -1 in f 7.931 * [backup-simplify]: Simplify -1 into -1 7.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.931 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.931 * [taylor]: Taking taylor expansion of f in f 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (/ 1 1) into 1 7.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.932 * [taylor]: Taking taylor expansion of n in f 7.932 * [backup-simplify]: Simplify n into n 7.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.932 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.932 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.932 * [taylor]: Taking taylor expansion of f in f 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (/ 1 1) into 1 7.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.932 * [taylor]: Taking taylor expansion of n in f 7.932 * [backup-simplify]: Simplify n into n 7.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.932 * [backup-simplify]: Simplify (+ 1 0) into 1 7.933 * [backup-simplify]: Simplify (+ 1 0) into 1 7.933 * [backup-simplify]: Simplify (/ 1 1) into 1 7.933 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.933 * [taylor]: Taking taylor expansion of -1 in f 7.933 * [backup-simplify]: Simplify -1 into -1 7.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.933 * [taylor]: Taking taylor expansion of f in f 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.933 * [backup-simplify]: Simplify (/ 1 1) into 1 7.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.933 * [taylor]: Taking taylor expansion of n in f 7.933 * [backup-simplify]: Simplify n into n 7.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.933 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.933 * [taylor]: Taking taylor expansion of f in f 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.934 * [backup-simplify]: Simplify (/ 1 1) into 1 7.934 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.934 * [taylor]: Taking taylor expansion of n in f 7.934 * [backup-simplify]: Simplify n into n 7.934 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.934 * [backup-simplify]: Simplify (+ 1 0) into 1 7.934 * [backup-simplify]: Simplify (+ 1 0) into 1 7.934 * [backup-simplify]: Simplify (/ 1 1) into 1 7.935 * [backup-simplify]: Simplify (* -1 1) into -1 7.935 * [taylor]: Taking taylor expansion of -1 in n 7.935 * [backup-simplify]: Simplify -1 into -1 7.935 * [backup-simplify]: Simplify -1 into -1 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.936 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.936 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.937 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.937 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.937 * [taylor]: Taking taylor expansion of 2 in n 7.937 * [backup-simplify]: Simplify 2 into 2 7.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.937 * [taylor]: Taking taylor expansion of n in n 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (/ 1 1) into 1 7.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.938 * [backup-simplify]: Simplify (- 0) into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.939 * [backup-simplify]: Simplify (+ 0 0) into 0 7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.940 * [backup-simplify]: Simplify (- 0) into 0 7.940 * [backup-simplify]: Simplify (+ 0 0) into 0 7.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.942 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.942 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.942 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.942 * [taylor]: Taking taylor expansion of 2 in n 7.942 * [backup-simplify]: Simplify 2 into 2 7.942 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.942 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.942 * [taylor]: Taking taylor expansion of n in n 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (* 1 1) into 1 7.942 * [backup-simplify]: Simplify (/ 1 1) into 1 7.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.945 * [backup-simplify]: Simplify (- 0) into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.946 * [backup-simplify]: Simplify (- 0) into 0 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.947 * [backup-simplify]: Simplify (+ 0 0) into 0 7.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.948 * [backup-simplify]: Simplify (- 0) into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.950 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.950 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.950 * [taylor]: Taking taylor expansion of 2 in n 7.950 * [backup-simplify]: Simplify 2 into 2 7.950 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.950 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.950 * [taylor]: Taking taylor expansion of n in n 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (* 1 1) into 1 7.951 * [backup-simplify]: Simplify (* 1 1) into 1 7.951 * [backup-simplify]: Simplify (/ 1 1) into 1 7.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.957 * [backup-simplify]: Simplify (- 0) into 0 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify -1 into -1 7.957 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.957 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.957 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.957 * [taylor]: Taking taylor expansion of f in n 7.957 * [backup-simplify]: Simplify f into f 7.957 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.957 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.957 * [taylor]: Taking taylor expansion of n in n 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 1 into 1 7.957 * [backup-simplify]: Simplify (/ 1 1) into 1 7.957 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.957 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.957 * [taylor]: Taking taylor expansion of n in n 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 1 into 1 7.958 * [backup-simplify]: Simplify (/ 1 1) into 1 7.958 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.958 * [taylor]: Taking taylor expansion of f in n 7.958 * [backup-simplify]: Simplify f into f 7.958 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.960 * [backup-simplify]: Simplify (+ 0 1) into 1 7.960 * [backup-simplify]: Simplify (+ 1 0) into 1 7.960 * [backup-simplify]: Simplify (/ 1 1) into 1 7.960 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.960 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.960 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.960 * [taylor]: Taking taylor expansion of f in f 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (/ 1 1) into 1 7.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.961 * [taylor]: Taking taylor expansion of n in f 7.961 * [backup-simplify]: Simplify n into n 7.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.961 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.961 * [taylor]: Taking taylor expansion of n in f 7.961 * [backup-simplify]: Simplify n into n 7.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.961 * [taylor]: Taking taylor expansion of f in f 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (/ 1 1) into 1 7.962 * [backup-simplify]: Simplify (+ 1 0) into 1 7.962 * [backup-simplify]: Simplify (- 1) into -1 7.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.962 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.962 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.962 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.962 * [taylor]: Taking taylor expansion of f in f 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.963 * [backup-simplify]: Simplify (/ 1 1) into 1 7.963 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.963 * [taylor]: Taking taylor expansion of n in f 7.963 * [backup-simplify]: Simplify n into n 7.963 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.963 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.963 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.963 * [taylor]: Taking taylor expansion of n in f 7.963 * [backup-simplify]: Simplify n into n 7.963 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.963 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.963 * [taylor]: Taking taylor expansion of f in f 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 1 into 1 7.963 * [backup-simplify]: Simplify (/ 1 1) into 1 7.964 * [backup-simplify]: Simplify (+ 1 0) into 1 7.964 * [backup-simplify]: Simplify (- 1) into -1 7.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.964 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.964 * [taylor]: Taking taylor expansion of -1 in n 7.964 * [backup-simplify]: Simplify -1 into -1 7.964 * [backup-simplify]: Simplify -1 into -1 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify (- 0) into 0 7.966 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.966 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.966 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.966 * [taylor]: Taking taylor expansion of 2 in n 7.966 * [backup-simplify]: Simplify 2 into 2 7.966 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.966 * [taylor]: Taking taylor expansion of n in n 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.967 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.967 * [backup-simplify]: Simplify (- 0) into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.968 * [backup-simplify]: Simplify (+ 0 0) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (- 0) into 0 7.969 * [backup-simplify]: Simplify (+ 0 0) into 0 7.970 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.970 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.970 * [taylor]: Taking taylor expansion of 2 in n 7.970 * [backup-simplify]: Simplify 2 into 2 7.970 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.970 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.970 * [taylor]: Taking taylor expansion of n in n 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 1 into 1 7.970 * [backup-simplify]: Simplify (* 1 1) into 1 7.971 * [backup-simplify]: Simplify (/ 1 1) into 1 7.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.973 * [backup-simplify]: Simplify (- 0) into 0 7.973 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.975 * [backup-simplify]: Simplify (- 0) into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.976 * [backup-simplify]: Simplify (+ 0 0) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (- 0) into 0 7.977 * [backup-simplify]: Simplify (+ 0 0) into 0 7.978 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.978 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.978 * [taylor]: Taking taylor expansion of 2 in n 7.978 * [backup-simplify]: Simplify 2 into 2 7.978 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.978 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.978 * [taylor]: Taking taylor expansion of n in n 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (* 1 1) into 1 7.979 * [backup-simplify]: Simplify (* 1 1) into 1 7.979 * [backup-simplify]: Simplify (/ 1 1) into 1 7.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.985 * [backup-simplify]: Simplify (- 0) into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify -1 into -1 7.985 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 7.985 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.985 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.985 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.985 * [taylor]: Taking taylor expansion of -1 in n 7.985 * [backup-simplify]: Simplify -1 into -1 7.985 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.985 * [taylor]: Taking taylor expansion of (+ n f) in n 7.985 * [taylor]: Taking taylor expansion of n in n 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [taylor]: Taking taylor expansion of f in n 7.985 * [backup-simplify]: Simplify f into f 7.985 * [taylor]: Taking taylor expansion of (- f n) in n 7.985 * [taylor]: Taking taylor expansion of f in n 7.985 * [backup-simplify]: Simplify f into f 7.985 * [taylor]: Taking taylor expansion of n in n 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (+ 0 f) into f 7.986 * [backup-simplify]: Simplify (- 0) into 0 7.986 * [backup-simplify]: Simplify (+ f 0) into f 7.986 * [backup-simplify]: Simplify (/ f f) into 1 7.986 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.986 * [taylor]: Taking taylor expansion of -1 in f 7.986 * [backup-simplify]: Simplify -1 into -1 7.986 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.986 * [taylor]: Taking taylor expansion of (+ n f) in f 7.986 * [taylor]: Taking taylor expansion of n in f 7.986 * [backup-simplify]: Simplify n into n 7.986 * [taylor]: Taking taylor expansion of f in f 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.986 * [taylor]: Taking taylor expansion of (- f n) in f 7.986 * [taylor]: Taking taylor expansion of f in f 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.986 * [taylor]: Taking taylor expansion of n in f 7.986 * [backup-simplify]: Simplify n into n 7.986 * [backup-simplify]: Simplify (+ n 0) into n 7.986 * [backup-simplify]: Simplify (- n) into (- n) 7.986 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.986 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.986 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.986 * [taylor]: Taking taylor expansion of -1 in f 7.986 * [backup-simplify]: Simplify -1 into -1 7.986 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.986 * [taylor]: Taking taylor expansion of (+ n f) in f 7.986 * [taylor]: Taking taylor expansion of n in f 7.986 * [backup-simplify]: Simplify n into n 7.986 * [taylor]: Taking taylor expansion of f in f 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.986 * [taylor]: Taking taylor expansion of (- f n) in f 7.986 * [taylor]: Taking taylor expansion of f in f 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.986 * [taylor]: Taking taylor expansion of n in f 7.986 * [backup-simplify]: Simplify n into n 7.986 * [backup-simplify]: Simplify (+ n 0) into n 7.986 * [backup-simplify]: Simplify (- n) into (- n) 7.986 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.986 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.987 * [backup-simplify]: Simplify (* -1 -1) into 1 7.987 * [taylor]: Taking taylor expansion of 1 in n 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [backup-simplify]: Simplify (+ 0 1) into 1 7.988 * [backup-simplify]: Simplify (- 0) into 0 7.988 * [backup-simplify]: Simplify (+ 1 0) into 1 7.988 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.989 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.989 * [taylor]: Taking taylor expansion of 2 in n 7.989 * [backup-simplify]: Simplify 2 into 2 7.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.989 * [taylor]: Taking taylor expansion of n in n 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify (/ 1 1) into 1 7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.993 * [backup-simplify]: Simplify (+ 0 0) into 0 7.993 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.994 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.994 * [taylor]: Taking taylor expansion of 2 in n 7.994 * [backup-simplify]: Simplify 2 into 2 7.994 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.994 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.994 * [taylor]: Taking taylor expansion of n in n 7.994 * [backup-simplify]: Simplify 0 into 0 7.994 * [backup-simplify]: Simplify 1 into 1 7.995 * [backup-simplify]: Simplify (* 1 1) into 1 7.995 * [backup-simplify]: Simplify (/ 1 1) into 1 7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.000 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.002 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify (+ 0 0) into 0 8.003 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ 0 0) into 0 8.004 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 8.005 * [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))) 8.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.005 * [taylor]: Taking taylor expansion of 2 in n 8.005 * [backup-simplify]: Simplify 2 into 2 8.005 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.005 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.005 * [taylor]: Taking taylor expansion of n in n 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (* 1 1) into 1 8.006 * [backup-simplify]: Simplify (* 1 1) into 1 8.007 * [backup-simplify]: Simplify (/ 1 1) into 1 8.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.016 * [backup-simplify]: Simplify 0 into 0 8.016 * [backup-simplify]: Simplify 1 into 1 8.016 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.016 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.017 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.017 * [taylor]: Taking taylor expansion of -1 in n 8.017 * [backup-simplify]: Simplify -1 into -1 8.017 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.017 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.017 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.017 * [taylor]: Taking taylor expansion of f in n 8.017 * [backup-simplify]: Simplify f into f 8.017 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.017 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.017 * [taylor]: Taking taylor expansion of n in n 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 1 into 1 8.017 * [backup-simplify]: Simplify (/ 1 1) into 1 8.017 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.017 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.017 * [taylor]: Taking taylor expansion of f in n 8.017 * [backup-simplify]: Simplify f into f 8.018 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.018 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.018 * [taylor]: Taking taylor expansion of n in n 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 1 into 1 8.018 * [backup-simplify]: Simplify (/ 1 1) into 1 8.018 * [backup-simplify]: Simplify (+ 0 1) into 1 8.019 * [backup-simplify]: Simplify (- 1) into -1 8.019 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.020 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.020 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.020 * [taylor]: Taking taylor expansion of -1 in f 8.020 * [backup-simplify]: Simplify -1 into -1 8.020 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.020 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.020 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.020 * [taylor]: Taking taylor expansion of f in f 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 1 into 1 8.020 * [backup-simplify]: Simplify (/ 1 1) into 1 8.021 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.021 * [taylor]: Taking taylor expansion of n in f 8.021 * [backup-simplify]: Simplify n into n 8.021 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.021 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.021 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.021 * [taylor]: Taking taylor expansion of f in f 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 1 into 1 8.021 * [backup-simplify]: Simplify (/ 1 1) into 1 8.021 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.021 * [taylor]: Taking taylor expansion of n in f 8.021 * [backup-simplify]: Simplify n into n 8.021 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.022 * [backup-simplify]: Simplify (+ 1 0) into 1 8.022 * [backup-simplify]: Simplify (+ 1 0) into 1 8.023 * [backup-simplify]: Simplify (/ 1 1) into 1 8.023 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.023 * [taylor]: Taking taylor expansion of -1 in f 8.023 * [backup-simplify]: Simplify -1 into -1 8.023 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.023 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.023 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.023 * [taylor]: Taking taylor expansion of f in f 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [backup-simplify]: Simplify (/ 1 1) into 1 8.023 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.023 * [taylor]: Taking taylor expansion of n in f 8.023 * [backup-simplify]: Simplify n into n 8.023 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.024 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.024 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.024 * [taylor]: Taking taylor expansion of f in f 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.024 * [backup-simplify]: Simplify (/ 1 1) into 1 8.024 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.024 * [taylor]: Taking taylor expansion of n in f 8.024 * [backup-simplify]: Simplify n into n 8.024 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.025 * [backup-simplify]: Simplify (+ 1 0) into 1 8.025 * [backup-simplify]: Simplify (+ 1 0) into 1 8.025 * [backup-simplify]: Simplify (/ 1 1) into 1 8.026 * [backup-simplify]: Simplify (* -1 1) into -1 8.026 * [taylor]: Taking taylor expansion of -1 in n 8.026 * [backup-simplify]: Simplify -1 into -1 8.026 * [backup-simplify]: Simplify -1 into -1 8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.028 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.028 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.028 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.029 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.029 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.029 * [taylor]: Taking taylor expansion of 2 in n 8.029 * [backup-simplify]: Simplify 2 into 2 8.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.029 * [taylor]: Taking taylor expansion of n in n 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 1 into 1 8.029 * [backup-simplify]: Simplify (/ 1 1) into 1 8.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.031 * [backup-simplify]: Simplify (- 0) into 0 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.033 * [backup-simplify]: Simplify (+ 0 0) into 0 8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.034 * [backup-simplify]: Simplify (- 0) into 0 8.035 * [backup-simplify]: Simplify (+ 0 0) into 0 8.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.037 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.037 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.037 * [taylor]: Taking taylor expansion of 2 in n 8.037 * [backup-simplify]: Simplify 2 into 2 8.037 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.037 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.037 * [taylor]: Taking taylor expansion of n in n 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (* 1 1) into 1 8.038 * [backup-simplify]: Simplify (/ 1 1) into 1 8.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.042 * [backup-simplify]: Simplify (- 0) into 0 8.042 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.045 * [backup-simplify]: Simplify (- 0) into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.046 * [backup-simplify]: Simplify (+ 0 0) into 0 8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.048 * [backup-simplify]: Simplify (- 0) into 0 8.048 * [backup-simplify]: Simplify (+ 0 0) into 0 8.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 8.049 * [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)))) 8.050 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.050 * [taylor]: Taking taylor expansion of 2 in n 8.050 * [backup-simplify]: Simplify 2 into 2 8.050 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.050 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.050 * [taylor]: Taking taylor expansion of n in n 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (* 1 1) into 1 8.050 * [backup-simplify]: Simplify (* 1 1) into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (- 0) into 0 8.056 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify -1 into -1 8.056 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.056 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.056 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.056 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.056 * [taylor]: Taking taylor expansion of f in n 8.056 * [backup-simplify]: Simplify f into f 8.056 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.056 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.056 * [taylor]: Taking taylor expansion of n in n 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify 1 into 1 8.057 * [backup-simplify]: Simplify (/ 1 1) into 1 8.057 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.057 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.057 * [taylor]: Taking taylor expansion of n in n 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify 1 into 1 8.057 * [backup-simplify]: Simplify (/ 1 1) into 1 8.057 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.057 * [taylor]: Taking taylor expansion of f in n 8.057 * [backup-simplify]: Simplify f into f 8.057 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.057 * [backup-simplify]: Simplify (+ 0 1) into 1 8.058 * [backup-simplify]: Simplify (+ 1 0) into 1 8.058 * [backup-simplify]: Simplify (/ 1 1) into 1 8.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.058 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.058 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.058 * [taylor]: Taking taylor expansion of f in f 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify (/ 1 1) into 1 8.058 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.058 * [taylor]: Taking taylor expansion of n in f 8.058 * [backup-simplify]: Simplify n into n 8.058 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.058 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.059 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.059 * [taylor]: Taking taylor expansion of n in f 8.059 * [backup-simplify]: Simplify n into n 8.059 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.059 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.059 * [taylor]: Taking taylor expansion of f in f 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 1 into 1 8.059 * [backup-simplify]: Simplify (/ 1 1) into 1 8.059 * [backup-simplify]: Simplify (+ 1 0) into 1 8.059 * [backup-simplify]: Simplify (- 1) into -1 8.060 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.060 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.060 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.060 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.060 * [taylor]: Taking taylor expansion of f in f 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 1 into 1 8.060 * [backup-simplify]: Simplify (/ 1 1) into 1 8.060 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.060 * [taylor]: Taking taylor expansion of n in f 8.060 * [backup-simplify]: Simplify n into n 8.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.060 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.060 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.061 * [taylor]: Taking taylor expansion of n in f 8.061 * [backup-simplify]: Simplify n into n 8.061 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.061 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.061 * [taylor]: Taking taylor expansion of f in f 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify 1 into 1 8.061 * [backup-simplify]: Simplify (/ 1 1) into 1 8.061 * [backup-simplify]: Simplify (+ 1 0) into 1 8.061 * [backup-simplify]: Simplify (- 1) into -1 8.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.062 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.062 * [taylor]: Taking taylor expansion of -1 in n 8.062 * [backup-simplify]: Simplify -1 into -1 8.062 * [backup-simplify]: Simplify -1 into -1 8.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (- 0) into 0 8.063 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.063 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.063 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.063 * [taylor]: Taking taylor expansion of 2 in n 8.064 * [backup-simplify]: Simplify 2 into 2 8.064 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.064 * [taylor]: Taking taylor expansion of n in n 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [backup-simplify]: Simplify (/ 1 1) into 1 8.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.065 * [backup-simplify]: Simplify (- 0) into 0 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.066 * [backup-simplify]: Simplify (+ 0 0) into 0 8.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.067 * [backup-simplify]: Simplify (- 0) into 0 8.067 * [backup-simplify]: Simplify (+ 0 0) into 0 8.068 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.068 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.068 * [taylor]: Taking taylor expansion of 2 in n 8.068 * [backup-simplify]: Simplify 2 into 2 8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.068 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.068 * [taylor]: Taking taylor expansion of n in n 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (* 1 1) into 1 8.069 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.071 * [backup-simplify]: Simplify (- 0) into 0 8.071 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.073 * [backup-simplify]: Simplify (- 0) into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.074 * [backup-simplify]: Simplify (+ 0 0) into 0 8.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (- 0) into 0 8.077 * [backup-simplify]: Simplify (+ 0 0) into 0 8.078 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 8.078 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.078 * [taylor]: Taking taylor expansion of 2 in n 8.078 * [backup-simplify]: Simplify 2 into 2 8.078 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.078 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.078 * [taylor]: Taking taylor expansion of n in n 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 1 into 1 8.078 * [backup-simplify]: Simplify (* 1 1) into 1 8.079 * [backup-simplify]: Simplify (* 1 1) into 1 8.079 * [backup-simplify]: Simplify (/ 1 1) into 1 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.084 * [backup-simplify]: Simplify (- 0) into 0 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify -1 into -1 8.085 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 8.085 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 8.085 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.085 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.085 * [taylor]: Taking taylor expansion of -1 in n 8.085 * [backup-simplify]: Simplify -1 into -1 8.085 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.085 * [taylor]: Taking taylor expansion of (+ n f) in n 8.085 * [taylor]: Taking taylor expansion of n in n 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [taylor]: Taking taylor expansion of f in n 8.085 * [backup-simplify]: Simplify f into f 8.085 * [taylor]: Taking taylor expansion of (- f n) in n 8.085 * [taylor]: Taking taylor expansion of f in n 8.085 * [backup-simplify]: Simplify f into f 8.085 * [taylor]: Taking taylor expansion of n in n 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [backup-simplify]: Simplify (+ 0 f) into f 8.085 * [backup-simplify]: Simplify (- 0) into 0 8.085 * [backup-simplify]: Simplify (+ f 0) into f 8.085 * [backup-simplify]: Simplify (/ f f) into 1 8.085 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.085 * [taylor]: Taking taylor expansion of -1 in f 8.085 * [backup-simplify]: Simplify -1 into -1 8.085 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.085 * [taylor]: Taking taylor expansion of (+ n f) in f 8.085 * [taylor]: Taking taylor expansion of n in f 8.085 * [backup-simplify]: Simplify n into n 8.085 * [taylor]: Taking taylor expansion of f in f 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [taylor]: Taking taylor expansion of (- f n) in f 8.085 * [taylor]: Taking taylor expansion of f in f 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [taylor]: Taking taylor expansion of n in f 8.086 * [backup-simplify]: Simplify n into n 8.086 * [backup-simplify]: Simplify (+ n 0) into n 8.086 * [backup-simplify]: Simplify (- n) into (- n) 8.086 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.086 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.086 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.086 * [taylor]: Taking taylor expansion of -1 in f 8.086 * [backup-simplify]: Simplify -1 into -1 8.086 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.086 * [taylor]: Taking taylor expansion of (+ n f) in f 8.086 * [taylor]: Taking taylor expansion of n in f 8.086 * [backup-simplify]: Simplify n into n 8.086 * [taylor]: Taking taylor expansion of f in f 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [taylor]: Taking taylor expansion of (- f n) in f 8.086 * [taylor]: Taking taylor expansion of f in f 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [taylor]: Taking taylor expansion of n in f 8.086 * [backup-simplify]: Simplify n into n 8.086 * [backup-simplify]: Simplify (+ n 0) into n 8.086 * [backup-simplify]: Simplify (- n) into (- n) 8.086 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.086 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.086 * [backup-simplify]: Simplify (* -1 -1) into 1 8.086 * [taylor]: Taking taylor expansion of 1 in n 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [backup-simplify]: Simplify 1 into 1 8.087 * [backup-simplify]: Simplify (+ 0 1) into 1 8.087 * [backup-simplify]: Simplify (- 0) into 0 8.087 * [backup-simplify]: Simplify (+ 1 0) into 1 8.087 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.088 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.088 * [taylor]: Taking taylor expansion of 2 in n 8.088 * [backup-simplify]: Simplify 2 into 2 8.088 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.088 * [taylor]: Taking taylor expansion of n in n 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 1 into 1 8.088 * [backup-simplify]: Simplify (/ 1 1) into 1 8.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify (+ 0 0) into 0 8.090 * [backup-simplify]: Simplify (- 0) into 0 8.090 * [backup-simplify]: Simplify (+ 0 0) into 0 8.090 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.091 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.091 * [taylor]: Taking taylor expansion of 2 in n 8.091 * [backup-simplify]: Simplify 2 into 2 8.091 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.091 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.091 * [taylor]: Taking taylor expansion of n in n 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (* 1 1) into 1 8.091 * [backup-simplify]: Simplify (/ 1 1) into 1 8.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.094 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.096 * [backup-simplify]: Simplify (- 0) into 0 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.097 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 8.097 * [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))) 8.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.097 * [taylor]: Taking taylor expansion of 2 in n 8.097 * [backup-simplify]: Simplify 2 into 2 8.097 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.097 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.097 * [taylor]: Taking taylor expansion of n in n 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 1 into 1 8.098 * [backup-simplify]: Simplify (* 1 1) into 1 8.098 * [backup-simplify]: Simplify (* 1 1) into 1 8.098 * [backup-simplify]: Simplify (/ 1 1) into 1 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.104 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.104 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.104 * [taylor]: Taking taylor expansion of -1 in n 8.104 * [backup-simplify]: Simplify -1 into -1 8.104 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.104 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.104 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.104 * [taylor]: Taking taylor expansion of f in n 8.104 * [backup-simplify]: Simplify f into f 8.104 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.104 * [taylor]: Taking taylor expansion of n in n 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (/ 1 1) into 1 8.104 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.104 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.104 * [taylor]: Taking taylor expansion of f in n 8.104 * [backup-simplify]: Simplify f into f 8.104 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.104 * [taylor]: Taking taylor expansion of n in n 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (/ 1 1) into 1 8.105 * [backup-simplify]: Simplify (+ 0 1) into 1 8.105 * [backup-simplify]: Simplify (- 1) into -1 8.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.106 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.106 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.106 * [taylor]: Taking taylor expansion of -1 in f 8.106 * [backup-simplify]: Simplify -1 into -1 8.106 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.106 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.106 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.106 * [taylor]: Taking taylor expansion of f in f 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify 1 into 1 8.106 * [backup-simplify]: Simplify (/ 1 1) into 1 8.106 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.106 * [taylor]: Taking taylor expansion of n in f 8.106 * [backup-simplify]: Simplify n into n 8.106 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.106 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.106 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.106 * [taylor]: Taking taylor expansion of f in f 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify 1 into 1 8.106 * [backup-simplify]: Simplify (/ 1 1) into 1 8.106 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.106 * [taylor]: Taking taylor expansion of n in f 8.106 * [backup-simplify]: Simplify n into n 8.106 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.107 * [backup-simplify]: Simplify (+ 1 0) into 1 8.107 * [backup-simplify]: Simplify (+ 1 0) into 1 8.107 * [backup-simplify]: Simplify (/ 1 1) into 1 8.107 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.107 * [taylor]: Taking taylor expansion of -1 in f 8.108 * [backup-simplify]: Simplify -1 into -1 8.108 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.108 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.108 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.108 * [taylor]: Taking taylor expansion of f in f 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.108 * [backup-simplify]: Simplify (/ 1 1) into 1 8.108 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.108 * [taylor]: Taking taylor expansion of n in f 8.108 * [backup-simplify]: Simplify n into n 8.108 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.108 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.108 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.108 * [taylor]: Taking taylor expansion of f in f 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.109 * [backup-simplify]: Simplify (/ 1 1) into 1 8.109 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.109 * [taylor]: Taking taylor expansion of n in f 8.109 * [backup-simplify]: Simplify n into n 8.109 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.109 * [backup-simplify]: Simplify (+ 1 0) into 1 8.110 * [backup-simplify]: Simplify (+ 1 0) into 1 8.110 * [backup-simplify]: Simplify (/ 1 1) into 1 8.111 * [backup-simplify]: Simplify (* -1 1) into -1 8.111 * [taylor]: Taking taylor expansion of -1 in n 8.111 * [backup-simplify]: Simplify -1 into -1 8.111 * [backup-simplify]: Simplify -1 into -1 8.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.112 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.112 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.112 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.113 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.113 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.113 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.113 * [taylor]: Taking taylor expansion of 2 in n 8.113 * [backup-simplify]: Simplify 2 into 2 8.113 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.113 * [taylor]: Taking taylor expansion of n in n 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 1 into 1 8.114 * [backup-simplify]: Simplify (/ 1 1) into 1 8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.116 * [backup-simplify]: Simplify (- 0) into 0 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.118 * [backup-simplify]: Simplify (+ 0 0) into 0 8.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.119 * [backup-simplify]: Simplify (- 0) into 0 8.119 * [backup-simplify]: Simplify (+ 0 0) into 0 8.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.121 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.121 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.122 * [taylor]: Taking taylor expansion of 2 in n 8.122 * [backup-simplify]: Simplify 2 into 2 8.122 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.122 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.122 * [taylor]: Taking taylor expansion of n in n 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 1 into 1 8.122 * [backup-simplify]: Simplify (* 1 1) into 1 8.122 * [backup-simplify]: Simplify (/ 1 1) into 1 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.127 * [backup-simplify]: Simplify (- 0) into 0 8.127 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.129 * [backup-simplify]: Simplify (- 0) into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.133 * [backup-simplify]: Simplify (- 0) into 0 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 8.136 * [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)))) 8.136 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.136 * [taylor]: Taking taylor expansion of 2 in n 8.136 * [backup-simplify]: Simplify 2 into 2 8.136 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.136 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.136 * [taylor]: Taking taylor expansion of n in n 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 1 into 1 8.136 * [backup-simplify]: Simplify (* 1 1) into 1 8.137 * [backup-simplify]: Simplify (* 1 1) into 1 8.137 * [backup-simplify]: Simplify (/ 1 1) into 1 8.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.146 * [backup-simplify]: Simplify (- 0) into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify -1 into -1 8.147 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.147 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.147 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.147 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.147 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.147 * [taylor]: Taking taylor expansion of f in n 8.147 * [backup-simplify]: Simplify f into f 8.147 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.147 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.147 * [taylor]: Taking taylor expansion of n in n 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.148 * [backup-simplify]: Simplify (/ 1 1) into 1 8.148 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.148 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.148 * [taylor]: Taking taylor expansion of n in n 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 1 into 1 8.148 * [backup-simplify]: Simplify (/ 1 1) into 1 8.148 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.148 * [taylor]: Taking taylor expansion of f in n 8.148 * [backup-simplify]: Simplify f into f 8.148 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.149 * [backup-simplify]: Simplify (+ 0 1) into 1 8.149 * [backup-simplify]: Simplify (+ 1 0) into 1 8.150 * [backup-simplify]: Simplify (/ 1 1) into 1 8.150 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.150 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.150 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.150 * [taylor]: Taking taylor expansion of f in f 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (/ 1 1) into 1 8.150 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.150 * [taylor]: Taking taylor expansion of n in f 8.150 * [backup-simplify]: Simplify n into n 8.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.150 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.150 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.150 * [taylor]: Taking taylor expansion of n in f 8.150 * [backup-simplify]: Simplify n into n 8.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.150 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.150 * [taylor]: Taking taylor expansion of f in f 8.150 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify (/ 1 1) into 1 8.151 * [backup-simplify]: Simplify (+ 1 0) into 1 8.152 * [backup-simplify]: Simplify (- 1) into -1 8.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.153 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.153 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.153 * [taylor]: Taking taylor expansion of f in f 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [backup-simplify]: Simplify (/ 1 1) into 1 8.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.153 * [taylor]: Taking taylor expansion of n in f 8.153 * [backup-simplify]: Simplify n into n 8.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.153 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.153 * [taylor]: Taking taylor expansion of n in f 8.153 * [backup-simplify]: Simplify n into n 8.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.153 * [taylor]: Taking taylor expansion of f in f 8.153 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [backup-simplify]: Simplify (/ 1 1) into 1 8.154 * [backup-simplify]: Simplify (+ 1 0) into 1 8.155 * [backup-simplify]: Simplify (- 1) into -1 8.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.156 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.156 * [taylor]: Taking taylor expansion of -1 in n 8.156 * [backup-simplify]: Simplify -1 into -1 8.156 * [backup-simplify]: Simplify -1 into -1 8.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.158 * [backup-simplify]: Simplify (- 0) into 0 8.158 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.158 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.158 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.158 * [taylor]: Taking taylor expansion of 2 in n 8.158 * [backup-simplify]: Simplify 2 into 2 8.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.158 * [taylor]: Taking taylor expansion of n in n 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 1 into 1 8.159 * [backup-simplify]: Simplify (/ 1 1) into 1 8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.161 * [backup-simplify]: Simplify (- 0) into 0 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.162 * [backup-simplify]: Simplify (+ 0 0) into 0 8.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.164 * [backup-simplify]: Simplify (- 0) into 0 8.164 * [backup-simplify]: Simplify (+ 0 0) into 0 8.165 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.165 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.165 * [taylor]: Taking taylor expansion of 2 in n 8.165 * [backup-simplify]: Simplify 2 into 2 8.165 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.165 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.165 * [taylor]: Taking taylor expansion of n in n 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (* 1 1) into 1 8.166 * [backup-simplify]: Simplify (/ 1 1) into 1 8.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.171 * [backup-simplify]: Simplify (- 0) into 0 8.171 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.174 * [backup-simplify]: Simplify (- 0) into 0 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.175 * [backup-simplify]: Simplify (+ 0 0) into 0 8.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.179 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 8.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.179 * [taylor]: Taking taylor expansion of 2 in n 8.179 * [backup-simplify]: Simplify 2 into 2 8.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.179 * [taylor]: Taking taylor expansion of n in n 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (* 1 1) into 1 8.180 * [backup-simplify]: Simplify (* 1 1) into 1 8.181 * [backup-simplify]: Simplify (/ 1 1) into 1 8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (- 0) into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify -1 into -1 8.190 * * * [progress]: simplifying candidates 8.210 * [simplify]: Simplifying: (expm1 (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (log1p (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (+ 1/3 1/3) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (+ 1 1) (+ (log (cbrt (/ (- (+ f n)) (- f n)))) (log (cbrt (/ (- (+ f n)) (- f n))))) (log (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt 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(/ (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)) (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 1 -1 -1 1 -1 -1 1 -1 -1 8.220 * * [simplify]: iteration 0: 391 enodes 8.384 * * [simplify]: iteration 1: 693 enodes 8.633 * * [simplify]: iteration 2: 1468 enodes 9.295 * * [simplify]: iteration 3: 3738 enodes 10.321 * * [simplify]: iteration complete: 5031 enodes 10.321 * * [simplify]: Extracting #0: cost 237 inf + 0 10.326 * * [simplify]: Extracting #1: cost 992 inf + 5 10.344 * * [simplify]: Extracting #2: cost 1431 inf + 625 10.366 * * [simplify]: Extracting #3: cost 1256 inf + 44010 10.432 * * [simplify]: Extracting #4: cost 620 inf + 199340 10.533 * * [simplify]: Extracting #5: cost 112 inf + 368602 10.653 * * [simplify]: Extracting #6: cost 8 inf + 415071 10.801 * * [simplify]: Extracting #7: cost 0 inf + 418377 10.957 * [simplify]: Simplified to: (expm1 (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))) (log1p (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))) 2/3 2 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) 2 (log (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))) (log (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))) (exp (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))) (cbrt (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))))) 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(sqrt n))) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (- (/ (+ n f) (+ (sqrt n) (sqrt f)))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* f (* f f)) (* (* n n) n)))) (- (/ 1 (- f n))) (* (- f n) (fma f f (* n (- n f)))) (* (- f n) (- f n)) (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1)) 1 1 -1 -1 1 -1 -1 1 -1 -1 11.069 * * * [progress]: adding candidates to table 13.685 * * [progress]: iteration 4 / 4 13.685 * * * [progress]: picking best candidate 13.693 * * * * [pick]: Picked # 13.694 * * * [progress]: localizing error 13.742 * * * [progress]: generating rewritten candidates 13.742 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 13.956 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 13.989 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 14.036 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 14.117 * * * [progress]: generating series expansions 14.117 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 14.117 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 14.117 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 14.117 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 14.117 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 14.117 * [taylor]: Taking taylor expansion of (+ n f) in n 14.117 * [taylor]: Taking taylor expansion of n in n 14.117 * [backup-simplify]: Simplify 0 into 0 14.117 * [backup-simplify]: Simplify 1 into 1 14.117 * [taylor]: Taking taylor expansion of f in n 14.117 * [backup-simplify]: Simplify f into f 14.117 * [backup-simplify]: Simplify (+ 0 f) into f 14.117 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 14.117 * [taylor]: Taking taylor expansion of (- f n) in n 14.117 * [taylor]: Taking taylor expansion of f in n 14.117 * [backup-simplify]: Simplify f into f 14.117 * [taylor]: Taking taylor expansion of n in n 14.117 * [backup-simplify]: Simplify 0 into 0 14.117 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (- 0) into 0 14.118 * [backup-simplify]: Simplify (+ f 0) into f 14.118 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.118 * [backup-simplify]: Simplify (* f f) into (pow f 2) 14.118 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 14.118 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 14.118 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 14.118 * [taylor]: Taking taylor expansion of (+ n f) in f 14.118 * [taylor]: Taking taylor expansion of n in f 14.118 * [backup-simplify]: Simplify n into n 14.118 * [taylor]: Taking taylor expansion of f in f 14.118 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (+ n 0) into n 14.118 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 14.118 * [taylor]: Taking taylor expansion of (- f n) in f 14.118 * [taylor]: Taking taylor expansion of f in f 14.118 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [taylor]: Taking taylor expansion of n in f 14.118 * [backup-simplify]: Simplify n into n 14.118 * [backup-simplify]: Simplify (- n) into (- n) 14.118 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.118 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.118 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 14.119 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 14.119 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 14.119 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 14.119 * [taylor]: Taking taylor expansion of (+ n f) in f 14.119 * [taylor]: Taking taylor expansion of n in f 14.119 * [backup-simplify]: Simplify n into n 14.119 * [taylor]: Taking taylor expansion of f in f 14.119 * [backup-simplify]: Simplify 0 into 0 14.119 * [backup-simplify]: Simplify 1 into 1 14.119 * [backup-simplify]: Simplify (+ n 0) into n 14.119 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 14.119 * [taylor]: Taking taylor expansion of (- f n) in f 14.119 * [taylor]: Taking taylor expansion of f in f 14.119 * [backup-simplify]: Simplify 0 into 0 14.119 * [backup-simplify]: Simplify 1 into 1 14.119 * [taylor]: Taking taylor expansion of n in f 14.119 * [backup-simplify]: Simplify n into n 14.119 * [backup-simplify]: Simplify (- n) into (- n) 14.119 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.119 * [backup-simplify]: Simplify (* n n) into (pow n 2) 14.119 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 14.119 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 14.119 * [taylor]: Taking taylor expansion of 1 in n 14.119 * [backup-simplify]: Simplify 1 into 1 14.119 * [backup-simplify]: Simplify 1 into 1 14.120 * [backup-simplify]: Simplify (+ 0 1) into 1 14.120 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 14.120 * [backup-simplify]: Simplify (- 0) into 0 14.120 * [backup-simplify]: Simplify (+ 1 0) into 1 14.121 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 14.121 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 14.121 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 14.121 * [taylor]: Taking taylor expansion of 4 in n 14.121 * [backup-simplify]: Simplify 4 into 4 14.121 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.121 * [taylor]: Taking taylor expansion of n in n 14.121 * [backup-simplify]: Simplify 0 into 0 14.121 * [backup-simplify]: Simplify 1 into 1 14.121 * [backup-simplify]: Simplify (/ 1 1) into 1 14.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.122 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 14.122 * [backup-simplify]: Simplify 0 into 0 14.122 * [backup-simplify]: Simplify 0 into 0 14.122 * [backup-simplify]: Simplify (+ 0 0) into 0 14.123 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 14.123 * [backup-simplify]: Simplify (- 0) into 0 14.123 * [backup-simplify]: Simplify (+ 0 0) into 0 14.124 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 14.124 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 14.124 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 14.124 * [taylor]: Taking taylor expansion of 8 in n 14.124 * [backup-simplify]: Simplify 8 into 8 14.124 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.124 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.124 * [taylor]: Taking taylor expansion of n in n 14.124 * [backup-simplify]: Simplify 0 into 0 14.124 * [backup-simplify]: Simplify 1 into 1 14.124 * [backup-simplify]: Simplify (* 1 1) into 1 14.125 * [backup-simplify]: Simplify (/ 1 1) into 1 14.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.128 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 14.128 * [backup-simplify]: Simplify 0 into 0 14.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.130 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 14.130 * [backup-simplify]: Simplify 0 into 0 14.130 * [backup-simplify]: Simplify 0 into 0 14.130 * [backup-simplify]: Simplify (+ 0 0) into 0 14.131 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 14.131 * [backup-simplify]: Simplify (- 0) into 0 14.132 * [backup-simplify]: Simplify (+ 0 0) into 0 14.133 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 14.134 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 14.134 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 14.134 * [taylor]: Taking taylor expansion of 12 in n 14.134 * [backup-simplify]: Simplify 12 into 12 14.134 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.134 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.134 * [taylor]: Taking taylor expansion of n in n 14.134 * [backup-simplify]: Simplify 0 into 0 14.134 * [backup-simplify]: Simplify 1 into 1 14.134 * [backup-simplify]: Simplify (* 1 1) into 1 14.135 * [backup-simplify]: Simplify (* 1 1) into 1 14.135 * [backup-simplify]: Simplify (/ 1 1) into 1 14.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.145 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.145 * [backup-simplify]: Simplify 0 into 0 14.145 * [backup-simplify]: Simplify 1 into 1 14.146 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 14.146 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 14.146 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 14.146 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.146 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.146 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.146 * [taylor]: Taking taylor expansion of f in n 14.146 * [backup-simplify]: Simplify f into f 14.146 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.146 * [taylor]: Taking taylor expansion of n in n 14.146 * [backup-simplify]: Simplify 0 into 0 14.146 * [backup-simplify]: Simplify 1 into 1 14.147 * [backup-simplify]: Simplify (/ 1 1) into 1 14.147 * [backup-simplify]: Simplify (+ 0 1) into 1 14.147 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 14.147 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 14.147 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.147 * [taylor]: Taking taylor expansion of f in n 14.147 * [backup-simplify]: Simplify f into f 14.147 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.147 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.147 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (- 1) into -1 14.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.149 * [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 14.150 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 14.150 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.150 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.150 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.150 * [taylor]: Taking taylor expansion of f in f 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.151 * [backup-simplify]: Simplify (/ 1 1) into 1 14.151 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.151 * [taylor]: Taking taylor expansion of n in f 14.151 * [backup-simplify]: Simplify n into n 14.151 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.151 * [backup-simplify]: Simplify (+ 1 0) into 1 14.151 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 14.151 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.151 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.151 * [taylor]: Taking taylor expansion of f in f 14.151 * [backup-simplify]: Simplify 0 into 0 14.151 * [backup-simplify]: Simplify 1 into 1 14.152 * [backup-simplify]: Simplify (/ 1 1) into 1 14.152 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.152 * [taylor]: Taking taylor expansion of n in f 14.152 * [backup-simplify]: Simplify n into n 14.152 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.152 * [backup-simplify]: Simplify (+ 1 0) into 1 14.153 * [backup-simplify]: Simplify (* 1 1) into 1 14.153 * [backup-simplify]: Simplify (* 1 1) into 1 14.153 * [backup-simplify]: Simplify (/ 1 1) into 1 14.154 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 14.154 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.154 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.154 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.154 * [taylor]: Taking taylor expansion of f in f 14.154 * [backup-simplify]: Simplify 0 into 0 14.154 * [backup-simplify]: Simplify 1 into 1 14.154 * [backup-simplify]: Simplify (/ 1 1) into 1 14.154 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.154 * [taylor]: Taking taylor expansion of n in f 14.154 * [backup-simplify]: Simplify n into n 14.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.155 * [backup-simplify]: Simplify (+ 1 0) into 1 14.155 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 14.155 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.155 * [taylor]: Taking taylor expansion of n in f 14.155 * [backup-simplify]: Simplify n into n 14.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.156 * [backup-simplify]: Simplify (+ 1 0) into 1 14.156 * [backup-simplify]: Simplify (* 1 1) into 1 14.157 * [backup-simplify]: Simplify (* 1 1) into 1 14.157 * [backup-simplify]: Simplify (/ 1 1) into 1 14.157 * [taylor]: Taking taylor expansion of 1 in n 14.157 * [backup-simplify]: Simplify 1 into 1 14.157 * [backup-simplify]: Simplify 1 into 1 14.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.167 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.167 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 14.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.169 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 14.169 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 14.169 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 14.169 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 14.169 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 14.169 * [taylor]: Taking taylor expansion of 4 in n 14.169 * [backup-simplify]: Simplify 4 into 4 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 14.170 * [backup-simplify]: Simplify (/ 1 1) into 1 14.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.172 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 14.172 * [backup-simplify]: Simplify 0 into 0 14.172 * [backup-simplify]: Simplify 0 into 0 14.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.173 * [backup-simplify]: Simplify (+ 0 0) into 0 14.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 14.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.176 * [backup-simplify]: Simplify (- 0) into 0 14.176 * [backup-simplify]: Simplify (+ 0 0) into 0 14.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 14.178 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 14.178 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 14.178 * [taylor]: Taking taylor expansion of 8 in n 14.178 * [backup-simplify]: Simplify 8 into 8 14.178 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.178 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.178 * [taylor]: Taking taylor expansion of n in n 14.178 * [backup-simplify]: Simplify 0 into 0 14.178 * [backup-simplify]: Simplify 1 into 1 14.179 * [backup-simplify]: Simplify (* 1 1) into 1 14.179 * [backup-simplify]: Simplify (/ 1 1) into 1 14.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.183 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 14.183 * [backup-simplify]: Simplify 0 into 0 14.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.185 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.186 * [backup-simplify]: Simplify (+ 0 0) into 0 14.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 14.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.187 * [backup-simplify]: Simplify (- 0) into 0 14.187 * [backup-simplify]: Simplify (+ 0 0) into 0 14.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 14.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 14.189 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 14.189 * [taylor]: Taking taylor expansion of 12 in n 14.189 * [backup-simplify]: Simplify 12 into 12 14.189 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.189 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.189 * [taylor]: Taking taylor expansion of n in n 14.189 * [backup-simplify]: Simplify 0 into 0 14.189 * [backup-simplify]: Simplify 1 into 1 14.189 * [backup-simplify]: Simplify (* 1 1) into 1 14.190 * [backup-simplify]: Simplify (* 1 1) into 1 14.190 * [backup-simplify]: Simplify (/ 1 1) into 1 14.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.195 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.195 * [backup-simplify]: Simplify 0 into 0 14.195 * [backup-simplify]: Simplify 1 into 1 14.196 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 14.196 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 14.196 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 14.196 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 14.196 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.196 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.196 * [taylor]: Taking taylor expansion of f in n 14.196 * [backup-simplify]: Simplify f into f 14.196 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.196 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 14.196 * [backup-simplify]: Simplify (+ 0 1) into 1 14.196 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 14.196 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 14.196 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 14.197 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.197 * [taylor]: Taking taylor expansion of f in n 14.197 * [backup-simplify]: Simplify f into f 14.197 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.197 * [backup-simplify]: Simplify (+ 1 0) into 1 14.197 * [backup-simplify]: Simplify (* 1 1) into 1 14.198 * [backup-simplify]: Simplify (* 1 1) into 1 14.198 * [backup-simplify]: Simplify (/ 1 1) into 1 14.198 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 14.198 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.198 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.198 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.198 * [taylor]: Taking taylor expansion of n in f 14.198 * [backup-simplify]: Simplify n into n 14.198 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.199 * [backup-simplify]: Simplify (+ 1 0) into 1 14.199 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 14.199 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.199 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.199 * [taylor]: Taking taylor expansion of n in f 14.199 * [backup-simplify]: Simplify n into n 14.199 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.199 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.199 * [taylor]: Taking taylor expansion of f in f 14.199 * [backup-simplify]: Simplify 0 into 0 14.199 * [backup-simplify]: Simplify 1 into 1 14.199 * [backup-simplify]: Simplify (/ 1 1) into 1 14.199 * [backup-simplify]: Simplify (- 1) into -1 14.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.200 * [backup-simplify]: Simplify (* 1 1) into 1 14.200 * [backup-simplify]: Simplify (* -1 -1) into 1 14.200 * [backup-simplify]: Simplify (/ 1 1) into 1 14.200 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 14.200 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 14.200 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.200 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.200 * [taylor]: Taking taylor expansion of f in f 14.200 * [backup-simplify]: Simplify 0 into 0 14.200 * [backup-simplify]: Simplify 1 into 1 14.201 * [backup-simplify]: Simplify (/ 1 1) into 1 14.201 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.201 * [taylor]: Taking taylor expansion of n in f 14.201 * [backup-simplify]: Simplify n into n 14.201 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.201 * [backup-simplify]: Simplify (+ 1 0) into 1 14.201 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 14.201 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.201 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.201 * [taylor]: Taking taylor expansion of n in f 14.201 * [backup-simplify]: Simplify n into n 14.201 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.201 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.201 * [taylor]: Taking taylor expansion of f in f 14.201 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify 1 into 1 14.201 * [backup-simplify]: Simplify (/ 1 1) into 1 14.202 * [backup-simplify]: Simplify (- 1) into -1 14.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.202 * [backup-simplify]: Simplify (* 1 1) into 1 14.202 * [backup-simplify]: Simplify (* -1 -1) into 1 14.203 * [backup-simplify]: Simplify (/ 1 1) into 1 14.203 * [taylor]: Taking taylor expansion of 1 in n 14.203 * [backup-simplify]: Simplify 1 into 1 14.203 * [backup-simplify]: Simplify 1 into 1 14.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.203 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.203 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 14.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.204 * [backup-simplify]: Simplify (- 0) into 0 14.204 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 14.204 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 14.204 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 14.204 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 14.204 * [taylor]: Taking taylor expansion of 4 in n 14.204 * [backup-simplify]: Simplify 4 into 4 14.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.205 * [taylor]: Taking taylor expansion of n in n 14.205 * [backup-simplify]: Simplify 0 into 0 14.205 * [backup-simplify]: Simplify 1 into 1 14.205 * [backup-simplify]: Simplify (/ 1 1) into 1 14.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.206 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.207 * [backup-simplify]: Simplify (+ 0 0) into 0 14.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 14.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.208 * [backup-simplify]: Simplify (- 0) into 0 14.208 * [backup-simplify]: Simplify (+ 0 0) into 0 14.209 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 14.209 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 14.209 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 14.209 * [taylor]: Taking taylor expansion of 8 in n 14.209 * [backup-simplify]: Simplify 8 into 8 14.209 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.209 * [taylor]: Taking taylor expansion of n in n 14.209 * [backup-simplify]: Simplify 0 into 0 14.209 * [backup-simplify]: Simplify 1 into 1 14.210 * [backup-simplify]: Simplify (* 1 1) into 1 14.210 * [backup-simplify]: Simplify (/ 1 1) into 1 14.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.213 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 14.213 * [backup-simplify]: Simplify 0 into 0 14.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.215 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 14.215 * [backup-simplify]: Simplify 0 into 0 14.215 * [backup-simplify]: Simplify 0 into 0 14.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.217 * [backup-simplify]: Simplify (+ 0 0) into 0 14.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 14.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.220 * [backup-simplify]: Simplify (- 0) into 0 14.220 * [backup-simplify]: Simplify (+ 0 0) into 0 14.221 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 14.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 14.223 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 14.223 * [taylor]: Taking taylor expansion of 12 in n 14.223 * [backup-simplify]: Simplify 12 into 12 14.223 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.223 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.223 * [taylor]: Taking taylor expansion of n in n 14.223 * [backup-simplify]: Simplify 0 into 0 14.223 * [backup-simplify]: Simplify 1 into 1 14.223 * [backup-simplify]: Simplify (* 1 1) into 1 14.224 * [backup-simplify]: Simplify (* 1 1) into 1 14.224 * [backup-simplify]: Simplify (/ 1 1) into 1 14.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 1)) into 0 14.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.234 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 1 into 1 14.234 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 14.234 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 14.234 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 14.234 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 14.234 * [taylor]: Taking taylor expansion of -1 in n 14.234 * [backup-simplify]: Simplify -1 into -1 14.234 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 14.234 * [taylor]: Taking taylor expansion of (+ n f) in n 14.234 * [taylor]: Taking taylor expansion of n in n 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 1 into 1 14.234 * [taylor]: Taking taylor expansion of f in n 14.234 * [backup-simplify]: Simplify f into f 14.234 * [taylor]: Taking taylor expansion of (- f n) in n 14.234 * [taylor]: Taking taylor expansion of f in n 14.235 * [backup-simplify]: Simplify f into f 14.235 * [taylor]: Taking taylor expansion of n in n 14.235 * [backup-simplify]: Simplify 0 into 0 14.235 * [backup-simplify]: Simplify 1 into 1 14.235 * [backup-simplify]: Simplify (+ 0 f) into f 14.235 * [backup-simplify]: Simplify (- 0) into 0 14.235 * [backup-simplify]: Simplify (+ f 0) into f 14.235 * [backup-simplify]: Simplify (/ f f) into 1 14.235 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.235 * [taylor]: Taking taylor expansion of -1 in f 14.235 * [backup-simplify]: Simplify -1 into -1 14.235 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.235 * [taylor]: Taking taylor expansion of (+ n f) in f 14.235 * [taylor]: Taking taylor expansion of n in f 14.235 * [backup-simplify]: Simplify n into n 14.235 * [taylor]: Taking taylor expansion of f in f 14.235 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify 1 into 1 14.236 * [taylor]: Taking taylor expansion of (- f n) in f 14.236 * [taylor]: Taking taylor expansion of f in f 14.236 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify 1 into 1 14.236 * [taylor]: Taking taylor expansion of n in f 14.236 * [backup-simplify]: Simplify n into n 14.236 * [backup-simplify]: Simplify (+ n 0) into n 14.236 * [backup-simplify]: Simplify (- n) into (- n) 14.236 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.236 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.236 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.236 * [taylor]: Taking taylor expansion of -1 in f 14.236 * [backup-simplify]: Simplify -1 into -1 14.236 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.236 * [taylor]: Taking taylor expansion of (+ n f) in f 14.236 * [taylor]: Taking taylor expansion of n in f 14.236 * [backup-simplify]: Simplify n into n 14.236 * [taylor]: Taking taylor expansion of f in f 14.236 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify 1 into 1 14.236 * [taylor]: Taking taylor expansion of (- f n) in f 14.236 * [taylor]: Taking taylor expansion of f in f 14.236 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify 1 into 1 14.236 * [taylor]: Taking taylor expansion of n in f 14.236 * [backup-simplify]: Simplify n into n 14.236 * [backup-simplify]: Simplify (+ n 0) into n 14.237 * [backup-simplify]: Simplify (- n) into (- n) 14.237 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.237 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.237 * [backup-simplify]: Simplify (* -1 -1) into 1 14.237 * [taylor]: Taking taylor expansion of 1 in n 14.237 * [backup-simplify]: Simplify 1 into 1 14.237 * [backup-simplify]: Simplify 1 into 1 14.238 * [backup-simplify]: Simplify (+ 0 1) into 1 14.238 * [backup-simplify]: Simplify (- 0) into 0 14.239 * [backup-simplify]: Simplify (+ 1 0) into 1 14.239 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 14.239 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 14.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.240 * [taylor]: Taking taylor expansion of 2 in n 14.240 * [backup-simplify]: Simplify 2 into 2 14.240 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.240 * [taylor]: Taking taylor expansion of n in n 14.240 * [backup-simplify]: Simplify 0 into 0 14.240 * [backup-simplify]: Simplify 1 into 1 14.240 * [backup-simplify]: Simplify (/ 1 1) into 1 14.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.242 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.242 * [backup-simplify]: Simplify 0 into 0 14.242 * [backup-simplify]: Simplify 0 into 0 14.242 * [backup-simplify]: Simplify (+ 0 0) into 0 14.243 * [backup-simplify]: Simplify (- 0) into 0 14.243 * [backup-simplify]: Simplify (+ 0 0) into 0 14.244 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 14.244 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 14.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.245 * [taylor]: Taking taylor expansion of 2 in n 14.245 * [backup-simplify]: Simplify 2 into 2 14.245 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 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 14.245 * [backup-simplify]: Simplify (* 1 1) into 1 14.246 * [backup-simplify]: Simplify (/ 1 1) into 1 14.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.250 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.252 * [backup-simplify]: Simplify 0 into 0 14.252 * [backup-simplify]: Simplify 0 into 0 14.253 * [backup-simplify]: Simplify (+ 0 0) into 0 14.253 * [backup-simplify]: Simplify (- 0) into 0 14.253 * [backup-simplify]: Simplify (+ 0 0) into 0 14.254 * [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)))) 14.255 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 14.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.255 * [taylor]: Taking taylor expansion of 2 in n 14.255 * [backup-simplify]: Simplify 2 into 2 14.255 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.255 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.255 * [taylor]: Taking taylor expansion of n in n 14.255 * [backup-simplify]: Simplify 0 into 0 14.255 * [backup-simplify]: Simplify 1 into 1 14.256 * [backup-simplify]: Simplify (* 1 1) into 1 14.256 * [backup-simplify]: Simplify (* 1 1) into 1 14.257 * [backup-simplify]: Simplify (/ 1 1) into 1 14.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.264 * [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.266 * [backup-simplify]: Simplify 0 into 0 14.266 * [backup-simplify]: Simplify 1 into 1 14.267 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 14.267 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 14.267 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 14.267 * [taylor]: Taking taylor expansion of -1 in n 14.267 * [backup-simplify]: Simplify -1 into -1 14.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 14.267 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.267 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.267 * [taylor]: Taking taylor expansion of f in n 14.267 * [backup-simplify]: Simplify f into f 14.267 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.267 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.267 * [taylor]: Taking taylor expansion of n in n 14.267 * [backup-simplify]: Simplify 0 into 0 14.267 * [backup-simplify]: Simplify 1 into 1 14.268 * [backup-simplify]: Simplify (/ 1 1) into 1 14.268 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 14.268 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.268 * [taylor]: Taking taylor expansion of f in n 14.268 * [backup-simplify]: Simplify f into f 14.268 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.268 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.268 * [taylor]: Taking taylor expansion of n in n 14.268 * [backup-simplify]: Simplify 0 into 0 14.268 * [backup-simplify]: Simplify 1 into 1 14.268 * [backup-simplify]: Simplify (/ 1 1) into 1 14.269 * [backup-simplify]: Simplify (+ 0 1) into 1 14.269 * [backup-simplify]: Simplify (- 1) into -1 14.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.270 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.270 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.270 * [taylor]: Taking taylor expansion of -1 in f 14.270 * [backup-simplify]: Simplify -1 into -1 14.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.270 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.270 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.270 * [taylor]: Taking taylor expansion of f in f 14.270 * [backup-simplify]: Simplify 0 into 0 14.270 * [backup-simplify]: Simplify 1 into 1 14.271 * [backup-simplify]: Simplify (/ 1 1) into 1 14.271 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.271 * [taylor]: Taking taylor expansion of n in f 14.271 * [backup-simplify]: Simplify n into n 14.271 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.271 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.271 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.271 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.271 * [taylor]: Taking taylor expansion of n in f 14.271 * [backup-simplify]: Simplify n into n 14.272 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.272 * [backup-simplify]: Simplify (+ 1 0) into 1 14.272 * [backup-simplify]: Simplify (+ 1 0) into 1 14.273 * [backup-simplify]: Simplify (/ 1 1) into 1 14.273 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.273 * [taylor]: Taking taylor expansion of -1 in f 14.273 * [backup-simplify]: Simplify -1 into -1 14.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.273 * [taylor]: Taking taylor expansion of f in f 14.273 * [backup-simplify]: Simplify 0 into 0 14.273 * [backup-simplify]: Simplify 1 into 1 14.273 * [backup-simplify]: Simplify (/ 1 1) into 1 14.273 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.273 * [taylor]: Taking taylor expansion of n in f 14.274 * [backup-simplify]: Simplify n into n 14.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.274 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.274 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.274 * [taylor]: Taking taylor expansion of f in f 14.274 * [backup-simplify]: Simplify 0 into 0 14.274 * [backup-simplify]: Simplify 1 into 1 14.274 * [backup-simplify]: Simplify (/ 1 1) into 1 14.274 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.274 * [taylor]: Taking taylor expansion of n in f 14.274 * [backup-simplify]: Simplify n into n 14.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.275 * [backup-simplify]: Simplify (+ 1 0) into 1 14.275 * [backup-simplify]: Simplify (+ 1 0) into 1 14.275 * [backup-simplify]: Simplify (/ 1 1) into 1 14.276 * [backup-simplify]: Simplify (* -1 1) into -1 14.276 * [taylor]: Taking taylor expansion of -1 in n 14.276 * [backup-simplify]: Simplify -1 into -1 14.276 * [backup-simplify]: Simplify -1 into -1 14.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.276 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.277 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 14.277 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 14.277 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 14.277 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 14.277 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.278 * [taylor]: Taking taylor expansion of 2 in n 14.278 * [backup-simplify]: Simplify 2 into 2 14.278 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.278 * [taylor]: Taking taylor expansion of n in n 14.278 * [backup-simplify]: Simplify 0 into 0 14.278 * [backup-simplify]: Simplify 1 into 1 14.278 * [backup-simplify]: Simplify (/ 1 1) into 1 14.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.279 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.279 * [backup-simplify]: Simplify (- 0) into 0 14.279 * [backup-simplify]: Simplify 0 into 0 14.279 * [backup-simplify]: Simplify 0 into 0 14.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.280 * [backup-simplify]: Simplify (+ 0 0) into 0 14.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.281 * [backup-simplify]: Simplify (- 0) into 0 14.281 * [backup-simplify]: Simplify (+ 0 0) into 0 14.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 14.282 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 14.282 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 14.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.282 * [taylor]: Taking taylor expansion of 2 in n 14.282 * [backup-simplify]: Simplify 2 into 2 14.282 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.282 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.282 * [taylor]: Taking taylor expansion of n in n 14.282 * [backup-simplify]: Simplify 0 into 0 14.282 * [backup-simplify]: Simplify 1 into 1 14.283 * [backup-simplify]: Simplify (* 1 1) into 1 14.283 * [backup-simplify]: Simplify (/ 1 1) into 1 14.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.286 * [backup-simplify]: Simplify (- 0) into 0 14.286 * [backup-simplify]: Simplify 0 into 0 14.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.288 * [backup-simplify]: Simplify (- 0) into 0 14.288 * [backup-simplify]: Simplify 0 into 0 14.288 * [backup-simplify]: Simplify 0 into 0 14.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.289 * [backup-simplify]: Simplify (+ 0 0) into 0 14.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.290 * [backup-simplify]: Simplify (- 0) into 0 14.290 * [backup-simplify]: Simplify (+ 0 0) into 0 14.293 * [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))) 14.293 * [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)))) 14.293 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 14.293 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.293 * [taylor]: Taking taylor expansion of 2 in n 14.293 * [backup-simplify]: Simplify 2 into 2 14.293 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.293 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.293 * [taylor]: Taking taylor expansion of n in n 14.293 * [backup-simplify]: Simplify 0 into 0 14.293 * [backup-simplify]: Simplify 1 into 1 14.294 * [backup-simplify]: Simplify (* 1 1) into 1 14.294 * [backup-simplify]: Simplify (* 1 1) into 1 14.294 * [backup-simplify]: Simplify (/ 1 1) into 1 14.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.303 * [backup-simplify]: Simplify (- 0) into 0 14.303 * [backup-simplify]: Simplify 0 into 0 14.303 * [backup-simplify]: Simplify -1 into -1 14.303 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 14.304 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 14.304 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 14.304 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.304 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.304 * [taylor]: Taking taylor expansion of f in n 14.304 * [backup-simplify]: Simplify f into f 14.304 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.304 * [taylor]: Taking taylor expansion of n in n 14.304 * [backup-simplify]: Simplify 0 into 0 14.304 * [backup-simplify]: Simplify 1 into 1 14.304 * [backup-simplify]: Simplify (/ 1 1) into 1 14.304 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 14.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.304 * [taylor]: Taking taylor expansion of n in n 14.304 * [backup-simplify]: Simplify 0 into 0 14.304 * [backup-simplify]: Simplify 1 into 1 14.305 * [backup-simplify]: Simplify (/ 1 1) into 1 14.305 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.305 * [taylor]: Taking taylor expansion of f in n 14.305 * [backup-simplify]: Simplify f into f 14.305 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.305 * [backup-simplify]: Simplify (+ 0 1) into 1 14.306 * [backup-simplify]: Simplify (+ 1 0) into 1 14.306 * [backup-simplify]: Simplify (/ 1 1) into 1 14.306 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.306 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.306 * [taylor]: Taking taylor expansion of f in f 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 1 into 1 14.307 * [backup-simplify]: Simplify (/ 1 1) into 1 14.307 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.307 * [taylor]: Taking taylor expansion of n in f 14.307 * [backup-simplify]: Simplify n into n 14.307 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.307 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.307 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.307 * [taylor]: Taking taylor expansion of n in f 14.307 * [backup-simplify]: Simplify n into n 14.307 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.307 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.307 * [taylor]: Taking taylor expansion of f in f 14.307 * [backup-simplify]: Simplify 0 into 0 14.307 * [backup-simplify]: Simplify 1 into 1 14.308 * [backup-simplify]: Simplify (/ 1 1) into 1 14.308 * [backup-simplify]: Simplify (+ 1 0) into 1 14.309 * [backup-simplify]: Simplify (- 1) into -1 14.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.309 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.309 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.310 * [taylor]: Taking taylor expansion of f in f 14.310 * [backup-simplify]: Simplify 0 into 0 14.310 * [backup-simplify]: Simplify 1 into 1 14.310 * [backup-simplify]: Simplify (/ 1 1) into 1 14.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.310 * [taylor]: Taking taylor expansion of n in f 14.310 * [backup-simplify]: Simplify n into n 14.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.310 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.310 * [taylor]: Taking taylor expansion of n in f 14.310 * [backup-simplify]: Simplify n into n 14.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.310 * [taylor]: Taking taylor expansion of f in f 14.310 * [backup-simplify]: Simplify 0 into 0 14.310 * [backup-simplify]: Simplify 1 into 1 14.311 * [backup-simplify]: Simplify (/ 1 1) into 1 14.311 * [backup-simplify]: Simplify (+ 1 0) into 1 14.312 * [backup-simplify]: Simplify (- 1) into -1 14.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.313 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.313 * [taylor]: Taking taylor expansion of -1 in n 14.313 * [backup-simplify]: Simplify -1 into -1 14.313 * [backup-simplify]: Simplify -1 into -1 14.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.314 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.315 * [backup-simplify]: Simplify (- 0) into 0 14.315 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 14.315 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 14.315 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.315 * [taylor]: Taking taylor expansion of 2 in n 14.315 * [backup-simplify]: Simplify 2 into 2 14.315 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.315 * [taylor]: Taking taylor expansion of n in n 14.315 * [backup-simplify]: Simplify 0 into 0 14.315 * [backup-simplify]: Simplify 1 into 1 14.316 * [backup-simplify]: Simplify (/ 1 1) into 1 14.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.317 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.318 * [backup-simplify]: Simplify (- 0) into 0 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 0 into 0 14.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.319 * [backup-simplify]: Simplify (+ 0 0) into 0 14.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.321 * [backup-simplify]: Simplify (- 0) into 0 14.321 * [backup-simplify]: Simplify (+ 0 0) into 0 14.322 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 14.322 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 14.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.322 * [taylor]: Taking taylor expansion of 2 in n 14.322 * [backup-simplify]: Simplify 2 into 2 14.322 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.322 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.322 * [taylor]: Taking taylor expansion of n in n 14.322 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify 1 into 1 14.323 * [backup-simplify]: Simplify (* 1 1) into 1 14.323 * [backup-simplify]: Simplify (/ 1 1) into 1 14.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.328 * [backup-simplify]: Simplify (- 0) into 0 14.328 * [backup-simplify]: Simplify 0 into 0 14.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.330 * [backup-simplify]: Simplify (- 0) into 0 14.330 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify 0 into 0 14.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.332 * [backup-simplify]: Simplify (+ 0 0) into 0 14.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.333 * [backup-simplify]: Simplify (- 0) into 0 14.333 * [backup-simplify]: Simplify (+ 0 0) into 0 14.335 * [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)))) 14.335 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 14.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.335 * [taylor]: Taking taylor expansion of 2 in n 14.335 * [backup-simplify]: Simplify 2 into 2 14.335 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.335 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.335 * [taylor]: Taking taylor expansion of n in n 14.335 * [backup-simplify]: Simplify 0 into 0 14.335 * [backup-simplify]: Simplify 1 into 1 14.336 * [backup-simplify]: Simplify (* 1 1) into 1 14.336 * [backup-simplify]: Simplify (* 1 1) into 1 14.337 * [backup-simplify]: Simplify (/ 1 1) into 1 14.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.346 * [backup-simplify]: Simplify (- 0) into 0 14.346 * [backup-simplify]: Simplify 0 into 0 14.346 * [backup-simplify]: Simplify -1 into -1 14.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 14.346 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 14.346 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 14.346 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 14.346 * [taylor]: Taking taylor expansion of -1 in n 14.346 * [backup-simplify]: Simplify -1 into -1 14.346 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 14.346 * [taylor]: Taking taylor expansion of (+ n f) in n 14.347 * [taylor]: Taking taylor expansion of n in n 14.347 * [backup-simplify]: Simplify 0 into 0 14.347 * [backup-simplify]: Simplify 1 into 1 14.347 * [taylor]: Taking taylor expansion of f in n 14.347 * [backup-simplify]: Simplify f into f 14.347 * [taylor]: Taking taylor expansion of (- f n) in n 14.347 * [taylor]: Taking taylor expansion of f in n 14.347 * [backup-simplify]: Simplify f into f 14.347 * [taylor]: Taking taylor expansion of n in n 14.347 * [backup-simplify]: Simplify 0 into 0 14.347 * [backup-simplify]: Simplify 1 into 1 14.347 * [backup-simplify]: Simplify (+ 0 f) into f 14.347 * [backup-simplify]: Simplify (- 0) into 0 14.347 * [backup-simplify]: Simplify (+ f 0) into f 14.347 * [backup-simplify]: Simplify (/ f f) into 1 14.347 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.347 * [taylor]: Taking taylor expansion of -1 in f 14.347 * [backup-simplify]: Simplify -1 into -1 14.347 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.347 * [taylor]: Taking taylor expansion of (+ n f) in f 14.347 * [taylor]: Taking taylor expansion of n in f 14.348 * [backup-simplify]: Simplify n into n 14.348 * [taylor]: Taking taylor expansion of f in f 14.348 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify 1 into 1 14.348 * [taylor]: Taking taylor expansion of (- f n) in f 14.348 * [taylor]: Taking taylor expansion of f in f 14.348 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify 1 into 1 14.348 * [taylor]: Taking taylor expansion of n in f 14.348 * [backup-simplify]: Simplify n into n 14.348 * [backup-simplify]: Simplify (+ n 0) into n 14.348 * [backup-simplify]: Simplify (- n) into (- n) 14.348 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.348 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.348 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.348 * [taylor]: Taking taylor expansion of -1 in f 14.348 * [backup-simplify]: Simplify -1 into -1 14.348 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.348 * [taylor]: Taking taylor expansion of (+ n f) in f 14.348 * [taylor]: Taking taylor expansion of n in f 14.348 * [backup-simplify]: Simplify n into n 14.348 * [taylor]: Taking taylor expansion of f in f 14.348 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify 1 into 1 14.348 * [taylor]: Taking taylor expansion of (- f n) in f 14.348 * [taylor]: Taking taylor expansion of f in f 14.348 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify 1 into 1 14.348 * [taylor]: Taking taylor expansion of n in f 14.348 * [backup-simplify]: Simplify n into n 14.348 * [backup-simplify]: Simplify (+ n 0) into n 14.348 * [backup-simplify]: Simplify (- n) into (- n) 14.348 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.349 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.349 * [backup-simplify]: Simplify (* -1 -1) into 1 14.349 * [taylor]: Taking taylor expansion of 1 in n 14.349 * [backup-simplify]: Simplify 1 into 1 14.349 * [backup-simplify]: Simplify 1 into 1 14.349 * [backup-simplify]: Simplify (+ 0 1) into 1 14.350 * [backup-simplify]: Simplify (- 0) into 0 14.350 * [backup-simplify]: Simplify (+ 1 0) into 1 14.350 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 14.351 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 14.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.351 * [taylor]: Taking taylor expansion of 2 in n 14.351 * [backup-simplify]: Simplify 2 into 2 14.351 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.351 * [taylor]: Taking taylor expansion of n in n 14.351 * [backup-simplify]: Simplify 0 into 0 14.351 * [backup-simplify]: Simplify 1 into 1 14.351 * [backup-simplify]: Simplify (/ 1 1) into 1 14.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.352 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.352 * [backup-simplify]: Simplify 0 into 0 14.352 * [backup-simplify]: Simplify 0 into 0 14.353 * [backup-simplify]: Simplify (+ 0 0) into 0 14.353 * [backup-simplify]: Simplify (- 0) into 0 14.353 * [backup-simplify]: Simplify (+ 0 0) into 0 14.353 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 14.354 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 14.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.354 * [taylor]: Taking taylor expansion of 2 in n 14.354 * [backup-simplify]: Simplify 2 into 2 14.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.354 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.354 * [taylor]: Taking taylor expansion of n in n 14.354 * [backup-simplify]: Simplify 0 into 0 14.354 * [backup-simplify]: Simplify 1 into 1 14.354 * [backup-simplify]: Simplify (* 1 1) into 1 14.354 * [backup-simplify]: Simplify (/ 1 1) into 1 14.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.357 * [backup-simplify]: Simplify 0 into 0 14.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.358 * [backup-simplify]: Simplify 0 into 0 14.358 * [backup-simplify]: Simplify 0 into 0 14.358 * [backup-simplify]: Simplify (+ 0 0) into 0 14.359 * [backup-simplify]: Simplify (- 0) into 0 14.359 * [backup-simplify]: Simplify (+ 0 0) into 0 14.359 * [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)))) 14.360 * [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))) 14.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.360 * [taylor]: Taking taylor expansion of 2 in n 14.360 * [backup-simplify]: Simplify 2 into 2 14.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.360 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.360 * [taylor]: Taking taylor expansion of n in n 14.360 * [backup-simplify]: Simplify 0 into 0 14.360 * [backup-simplify]: Simplify 1 into 1 14.360 * [backup-simplify]: Simplify (* 1 1) into 1 14.361 * [backup-simplify]: Simplify (* 1 1) into 1 14.361 * [backup-simplify]: Simplify (/ 1 1) into 1 14.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.366 * [backup-simplify]: Simplify 0 into 0 14.366 * [backup-simplify]: Simplify 1 into 1 14.366 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 14.366 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 14.366 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 14.366 * [taylor]: Taking taylor expansion of -1 in n 14.366 * [backup-simplify]: Simplify -1 into -1 14.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 14.366 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.366 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.366 * [taylor]: Taking taylor expansion of f in n 14.367 * [backup-simplify]: Simplify f into f 14.367 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.367 * [taylor]: Taking taylor expansion of n in n 14.367 * [backup-simplify]: Simplify 0 into 0 14.367 * [backup-simplify]: Simplify 1 into 1 14.367 * [backup-simplify]: Simplify (/ 1 1) into 1 14.367 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 14.367 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.367 * [taylor]: Taking taylor expansion of f in n 14.367 * [backup-simplify]: Simplify f into f 14.367 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.367 * [taylor]: Taking taylor expansion of n in n 14.367 * [backup-simplify]: Simplify 0 into 0 14.367 * [backup-simplify]: Simplify 1 into 1 14.367 * [backup-simplify]: Simplify (/ 1 1) into 1 14.368 * [backup-simplify]: Simplify (+ 0 1) into 1 14.368 * [backup-simplify]: Simplify (- 1) into -1 14.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.368 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.368 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.368 * [taylor]: Taking taylor expansion of -1 in f 14.368 * [backup-simplify]: Simplify -1 into -1 14.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.369 * [taylor]: Taking taylor expansion of f in f 14.369 * [backup-simplify]: Simplify 0 into 0 14.369 * [backup-simplify]: Simplify 1 into 1 14.369 * [backup-simplify]: Simplify (/ 1 1) into 1 14.369 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.369 * [taylor]: Taking taylor expansion of n in f 14.369 * [backup-simplify]: Simplify n into n 14.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.369 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.369 * [taylor]: Taking taylor expansion of f in f 14.369 * [backup-simplify]: Simplify 0 into 0 14.369 * [backup-simplify]: Simplify 1 into 1 14.369 * [backup-simplify]: Simplify (/ 1 1) into 1 14.369 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.369 * [taylor]: Taking taylor expansion of n in f 14.369 * [backup-simplify]: Simplify n into n 14.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.370 * [backup-simplify]: Simplify (+ 1 0) into 1 14.370 * [backup-simplify]: Simplify (+ 1 0) into 1 14.370 * [backup-simplify]: Simplify (/ 1 1) into 1 14.370 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.370 * [taylor]: Taking taylor expansion of -1 in f 14.370 * [backup-simplify]: Simplify -1 into -1 14.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.370 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.370 * [taylor]: Taking taylor expansion of f in f 14.370 * [backup-simplify]: Simplify 0 into 0 14.370 * [backup-simplify]: Simplify 1 into 1 14.370 * [backup-simplify]: Simplify (/ 1 1) into 1 14.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.371 * [taylor]: Taking taylor expansion of n in f 14.371 * [backup-simplify]: Simplify n into n 14.371 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.371 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.371 * [taylor]: Taking taylor expansion of f in f 14.371 * [backup-simplify]: Simplify 0 into 0 14.371 * [backup-simplify]: Simplify 1 into 1 14.371 * [backup-simplify]: Simplify (/ 1 1) into 1 14.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.371 * [taylor]: Taking taylor expansion of n in f 14.371 * [backup-simplify]: Simplify n into n 14.371 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.371 * [backup-simplify]: Simplify (+ 1 0) into 1 14.372 * [backup-simplify]: Simplify (+ 1 0) into 1 14.372 * [backup-simplify]: Simplify (/ 1 1) into 1 14.372 * [backup-simplify]: Simplify (* -1 1) into -1 14.372 * [taylor]: Taking taylor expansion of -1 in n 14.372 * [backup-simplify]: Simplify -1 into -1 14.372 * [backup-simplify]: Simplify -1 into -1 14.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.373 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.373 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 14.373 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 14.373 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 14.374 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 14.374 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.374 * [taylor]: Taking taylor expansion of 2 in n 14.374 * [backup-simplify]: Simplify 2 into 2 14.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.374 * [taylor]: Taking taylor expansion of n in n 14.374 * [backup-simplify]: Simplify 0 into 0 14.374 * [backup-simplify]: Simplify 1 into 1 14.374 * [backup-simplify]: Simplify (/ 1 1) into 1 14.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.375 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.375 * [backup-simplify]: Simplify (- 0) into 0 14.375 * [backup-simplify]: Simplify 0 into 0 14.375 * [backup-simplify]: Simplify 0 into 0 14.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.376 * [backup-simplify]: Simplify (+ 0 0) into 0 14.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.377 * [backup-simplify]: Simplify (- 0) into 0 14.377 * [backup-simplify]: Simplify (+ 0 0) into 0 14.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 14.378 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 14.378 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 14.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.379 * [taylor]: Taking taylor expansion of 2 in n 14.379 * [backup-simplify]: Simplify 2 into 2 14.379 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.379 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.379 * [taylor]: Taking taylor expansion of n in n 14.379 * [backup-simplify]: Simplify 0 into 0 14.379 * [backup-simplify]: Simplify 1 into 1 14.379 * [backup-simplify]: Simplify (* 1 1) into 1 14.379 * [backup-simplify]: Simplify (/ 1 1) into 1 14.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.384 * [backup-simplify]: Simplify (- 0) into 0 14.384 * [backup-simplify]: Simplify 0 into 0 14.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.386 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.386 * [backup-simplify]: Simplify (- 0) into 0 14.386 * [backup-simplify]: Simplify 0 into 0 14.386 * [backup-simplify]: Simplify 0 into 0 14.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.388 * [backup-simplify]: Simplify (+ 0 0) into 0 14.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.389 * [backup-simplify]: Simplify (- 0) into 0 14.390 * [backup-simplify]: Simplify (+ 0 0) into 0 14.391 * [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))) 14.393 * [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)))) 14.393 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 14.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.393 * [taylor]: Taking taylor expansion of 2 in n 14.393 * [backup-simplify]: Simplify 2 into 2 14.393 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.393 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.393 * [taylor]: Taking taylor expansion of n in n 14.393 * [backup-simplify]: Simplify 0 into 0 14.393 * [backup-simplify]: Simplify 1 into 1 14.393 * [backup-simplify]: Simplify (* 1 1) into 1 14.393 * [backup-simplify]: Simplify (* 1 1) into 1 14.394 * [backup-simplify]: Simplify (/ 1 1) into 1 14.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.403 * [backup-simplify]: Simplify (- 0) into 0 14.403 * [backup-simplify]: Simplify 0 into 0 14.404 * [backup-simplify]: Simplify -1 into -1 14.404 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 14.404 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 14.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 14.404 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.404 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.404 * [taylor]: Taking taylor expansion of f in n 14.404 * [backup-simplify]: Simplify f into f 14.404 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.404 * [taylor]: Taking taylor expansion of n in n 14.404 * [backup-simplify]: Simplify 0 into 0 14.404 * [backup-simplify]: Simplify 1 into 1 14.405 * [backup-simplify]: Simplify (/ 1 1) into 1 14.405 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 14.405 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.405 * [taylor]: Taking taylor expansion of n in n 14.405 * [backup-simplify]: Simplify 0 into 0 14.405 * [backup-simplify]: Simplify 1 into 1 14.405 * [backup-simplify]: Simplify (/ 1 1) into 1 14.405 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.405 * [taylor]: Taking taylor expansion of f in n 14.405 * [backup-simplify]: Simplify f into f 14.405 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.406 * [backup-simplify]: Simplify (+ 0 1) into 1 14.406 * [backup-simplify]: Simplify (+ 1 0) into 1 14.407 * [backup-simplify]: Simplify (/ 1 1) into 1 14.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.407 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.407 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.407 * [taylor]: Taking taylor expansion of f in f 14.407 * [backup-simplify]: Simplify 0 into 0 14.407 * [backup-simplify]: Simplify 1 into 1 14.407 * [backup-simplify]: Simplify (/ 1 1) into 1 14.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.407 * [taylor]: Taking taylor expansion of n in f 14.407 * [backup-simplify]: Simplify n into n 14.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.407 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.407 * [taylor]: Taking taylor expansion of n in f 14.407 * [backup-simplify]: Simplify n into n 14.408 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.408 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.408 * [taylor]: Taking taylor expansion of f in f 14.408 * [backup-simplify]: Simplify 0 into 0 14.408 * [backup-simplify]: Simplify 1 into 1 14.408 * [backup-simplify]: Simplify (/ 1 1) into 1 14.409 * [backup-simplify]: Simplify (+ 1 0) into 1 14.409 * [backup-simplify]: Simplify (- 1) into -1 14.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.410 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.410 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.410 * [taylor]: Taking taylor expansion of f in f 14.410 * [backup-simplify]: Simplify 0 into 0 14.410 * [backup-simplify]: Simplify 1 into 1 14.410 * [backup-simplify]: Simplify (/ 1 1) into 1 14.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.410 * [taylor]: Taking taylor expansion of n in f 14.410 * [backup-simplify]: Simplify n into n 14.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.411 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.411 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.411 * [taylor]: Taking taylor expansion of n in f 14.411 * [backup-simplify]: Simplify n into n 14.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.411 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.411 * [taylor]: Taking taylor expansion of f in f 14.411 * [backup-simplify]: Simplify 0 into 0 14.411 * [backup-simplify]: Simplify 1 into 1 14.411 * [backup-simplify]: Simplify (/ 1 1) into 1 14.412 * [backup-simplify]: Simplify (+ 1 0) into 1 14.412 * [backup-simplify]: Simplify (- 1) into -1 14.412 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.413 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.413 * [taylor]: Taking taylor expansion of -1 in n 14.413 * [backup-simplify]: Simplify -1 into -1 14.413 * [backup-simplify]: Simplify -1 into -1 14.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.414 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.415 * [backup-simplify]: Simplify (- 0) into 0 14.415 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 14.415 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 14.415 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.415 * [taylor]: Taking taylor expansion of 2 in n 14.415 * [backup-simplify]: Simplify 2 into 2 14.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.415 * [taylor]: Taking taylor expansion of n in n 14.415 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify 1 into 1 14.415 * [backup-simplify]: Simplify (/ 1 1) into 1 14.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.418 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.418 * [backup-simplify]: Simplify (- 0) into 0 14.418 * [backup-simplify]: Simplify 0 into 0 14.418 * [backup-simplify]: Simplify 0 into 0 14.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.419 * [backup-simplify]: Simplify (+ 0 0) into 0 14.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.420 * [backup-simplify]: Simplify (- 0) into 0 14.420 * [backup-simplify]: Simplify (+ 0 0) into 0 14.421 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 14.421 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 14.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.421 * [taylor]: Taking taylor expansion of 2 in n 14.421 * [backup-simplify]: Simplify 2 into 2 14.421 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.421 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.421 * [taylor]: Taking taylor expansion of n in n 14.421 * [backup-simplify]: Simplify 0 into 0 14.421 * [backup-simplify]: Simplify 1 into 1 14.421 * [backup-simplify]: Simplify (* 1 1) into 1 14.422 * [backup-simplify]: Simplify (/ 1 1) into 1 14.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.424 * [backup-simplify]: Simplify (- 0) into 0 14.424 * [backup-simplify]: Simplify 0 into 0 14.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.426 * [backup-simplify]: Simplify (- 0) into 0 14.426 * [backup-simplify]: Simplify 0 into 0 14.426 * [backup-simplify]: Simplify 0 into 0 14.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.427 * [backup-simplify]: Simplify (+ 0 0) into 0 14.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.428 * [backup-simplify]: Simplify (- 0) into 0 14.428 * [backup-simplify]: Simplify (+ 0 0) into 0 14.429 * [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)))) 14.429 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 14.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.429 * [taylor]: Taking taylor expansion of 2 in n 14.429 * [backup-simplify]: Simplify 2 into 2 14.429 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.429 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.429 * [taylor]: Taking taylor expansion of n in n 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [backup-simplify]: Simplify 1 into 1 14.429 * [backup-simplify]: Simplify (* 1 1) into 1 14.430 * [backup-simplify]: Simplify (* 1 1) into 1 14.430 * [backup-simplify]: Simplify (/ 1 1) into 1 14.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.436 * [backup-simplify]: Simplify (- 0) into 0 14.436 * [backup-simplify]: Simplify 0 into 0 14.436 * [backup-simplify]: Simplify -1 into -1 14.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 14.436 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 14.436 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 14.436 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 14.436 * [taylor]: Taking taylor expansion of -1 in n 14.436 * [backup-simplify]: Simplify -1 into -1 14.436 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 14.436 * [taylor]: Taking taylor expansion of (+ n f) in n 14.437 * [taylor]: Taking taylor expansion of n in n 14.437 * [backup-simplify]: Simplify 0 into 0 14.437 * [backup-simplify]: Simplify 1 into 1 14.437 * [taylor]: Taking taylor expansion of f in n 14.437 * [backup-simplify]: Simplify f into f 14.437 * [taylor]: Taking taylor expansion of (- f n) in n 14.437 * [taylor]: Taking taylor expansion of f in n 14.437 * [backup-simplify]: Simplify f into f 14.437 * [taylor]: Taking taylor expansion of n in n 14.437 * [backup-simplify]: Simplify 0 into 0 14.437 * [backup-simplify]: Simplify 1 into 1 14.437 * [backup-simplify]: Simplify (+ 0 f) into f 14.437 * [backup-simplify]: Simplify (- 0) into 0 14.437 * [backup-simplify]: Simplify (+ f 0) into f 14.437 * [backup-simplify]: Simplify (/ f f) into 1 14.437 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.437 * [taylor]: Taking taylor expansion of -1 in f 14.437 * [backup-simplify]: Simplify -1 into -1 14.437 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.438 * [taylor]: Taking taylor expansion of (+ n f) in f 14.438 * [taylor]: Taking taylor expansion of n in f 14.438 * [backup-simplify]: Simplify n into n 14.438 * [taylor]: Taking taylor expansion of f in f 14.438 * [backup-simplify]: Simplify 0 into 0 14.438 * [backup-simplify]: Simplify 1 into 1 14.438 * [taylor]: Taking taylor expansion of (- f n) in f 14.438 * [taylor]: Taking taylor expansion of f in f 14.438 * [backup-simplify]: Simplify 0 into 0 14.438 * [backup-simplify]: Simplify 1 into 1 14.438 * [taylor]: Taking taylor expansion of n in f 14.438 * [backup-simplify]: Simplify n into n 14.438 * [backup-simplify]: Simplify (+ n 0) into n 14.438 * [backup-simplify]: Simplify (- n) into (- n) 14.438 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.438 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.438 * [taylor]: Taking taylor expansion of -1 in f 14.438 * [backup-simplify]: Simplify -1 into -1 14.438 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.438 * [taylor]: Taking taylor expansion of (+ n f) in f 14.438 * [taylor]: Taking taylor expansion of n in f 14.438 * [backup-simplify]: Simplify n into n 14.438 * [taylor]: Taking taylor expansion of f in f 14.438 * [backup-simplify]: Simplify 0 into 0 14.438 * [backup-simplify]: Simplify 1 into 1 14.438 * [taylor]: Taking taylor expansion of (- f n) in f 14.438 * [taylor]: Taking taylor expansion of f in f 14.438 * [backup-simplify]: Simplify 0 into 0 14.438 * [backup-simplify]: Simplify 1 into 1 14.438 * [taylor]: Taking taylor expansion of n in f 14.439 * [backup-simplify]: Simplify n into n 14.439 * [backup-simplify]: Simplify (+ n 0) into n 14.439 * [backup-simplify]: Simplify (- n) into (- n) 14.439 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.439 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.439 * [backup-simplify]: Simplify (* -1 -1) into 1 14.439 * [taylor]: Taking taylor expansion of 1 in n 14.439 * [backup-simplify]: Simplify 1 into 1 14.439 * [backup-simplify]: Simplify 1 into 1 14.440 * [backup-simplify]: Simplify (+ 0 1) into 1 14.440 * [backup-simplify]: Simplify (- 0) into 0 14.441 * [backup-simplify]: Simplify (+ 1 0) into 1 14.441 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 14.442 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 14.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.442 * [taylor]: Taking taylor expansion of 2 in n 14.442 * [backup-simplify]: Simplify 2 into 2 14.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.442 * [taylor]: Taking taylor expansion of n in n 14.442 * [backup-simplify]: Simplify 0 into 0 14.442 * [backup-simplify]: Simplify 1 into 1 14.443 * [backup-simplify]: Simplify (/ 1 1) into 1 14.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.444 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.444 * [backup-simplify]: Simplify 0 into 0 14.445 * [backup-simplify]: Simplify 0 into 0 14.445 * [backup-simplify]: Simplify (+ 0 0) into 0 14.445 * [backup-simplify]: Simplify (- 0) into 0 14.446 * [backup-simplify]: Simplify (+ 0 0) into 0 14.446 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 14.447 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 14.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.447 * [taylor]: Taking taylor expansion of 2 in n 14.447 * [backup-simplify]: Simplify 2 into 2 14.447 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.447 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.447 * [taylor]: Taking taylor expansion of n in n 14.447 * [backup-simplify]: Simplify 0 into 0 14.447 * [backup-simplify]: Simplify 1 into 1 14.448 * [backup-simplify]: Simplify (* 1 1) into 1 14.448 * [backup-simplify]: Simplify (/ 1 1) into 1 14.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.452 * [backup-simplify]: Simplify 0 into 0 14.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.454 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.454 * [backup-simplify]: Simplify 0 into 0 14.454 * [backup-simplify]: Simplify 0 into 0 14.455 * [backup-simplify]: Simplify (+ 0 0) into 0 14.455 * [backup-simplify]: Simplify (- 0) into 0 14.456 * [backup-simplify]: Simplify (+ 0 0) into 0 14.456 * [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)))) 14.457 * [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))) 14.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.457 * [taylor]: Taking taylor expansion of 2 in n 14.457 * [backup-simplify]: Simplify 2 into 2 14.458 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.458 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.458 * [taylor]: Taking taylor expansion of n in n 14.458 * [backup-simplify]: Simplify 0 into 0 14.458 * [backup-simplify]: Simplify 1 into 1 14.458 * [backup-simplify]: Simplify (* 1 1) into 1 14.458 * [backup-simplify]: Simplify (* 1 1) into 1 14.459 * [backup-simplify]: Simplify (/ 1 1) into 1 14.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify 1 into 1 14.464 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 14.464 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 14.465 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 14.465 * [taylor]: Taking taylor expansion of -1 in n 14.465 * [backup-simplify]: Simplify -1 into -1 14.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 14.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.465 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.465 * [taylor]: Taking taylor expansion of f in n 14.465 * [backup-simplify]: Simplify f into f 14.465 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.465 * [taylor]: Taking taylor expansion of n in n 14.465 * [backup-simplify]: Simplify 0 into 0 14.465 * [backup-simplify]: Simplify 1 into 1 14.465 * [backup-simplify]: Simplify (/ 1 1) into 1 14.465 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 14.465 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.465 * [taylor]: Taking taylor expansion of f in n 14.465 * [backup-simplify]: Simplify f into f 14.465 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.465 * [taylor]: Taking taylor expansion of n in n 14.465 * [backup-simplify]: Simplify 0 into 0 14.465 * [backup-simplify]: Simplify 1 into 1 14.465 * [backup-simplify]: Simplify (/ 1 1) into 1 14.466 * [backup-simplify]: Simplify (+ 0 1) into 1 14.466 * [backup-simplify]: Simplify (- 1) into -1 14.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.466 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.466 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.466 * [taylor]: Taking taylor expansion of -1 in f 14.466 * [backup-simplify]: Simplify -1 into -1 14.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.467 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.467 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.467 * [taylor]: Taking taylor expansion of f in f 14.467 * [backup-simplify]: Simplify 0 into 0 14.467 * [backup-simplify]: Simplify 1 into 1 14.467 * [backup-simplify]: Simplify (/ 1 1) into 1 14.467 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.467 * [taylor]: Taking taylor expansion of n in f 14.467 * [backup-simplify]: Simplify n into n 14.467 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.467 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.467 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.467 * [taylor]: Taking taylor expansion of f in f 14.467 * [backup-simplify]: Simplify 0 into 0 14.467 * [backup-simplify]: Simplify 1 into 1 14.467 * [backup-simplify]: Simplify (/ 1 1) into 1 14.467 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.467 * [taylor]: Taking taylor expansion of n in f 14.467 * [backup-simplify]: Simplify n into n 14.467 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.468 * [backup-simplify]: Simplify (+ 1 0) into 1 14.468 * [backup-simplify]: Simplify (+ 1 0) into 1 14.468 * [backup-simplify]: Simplify (/ 1 1) into 1 14.468 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.468 * [taylor]: Taking taylor expansion of -1 in f 14.468 * [backup-simplify]: Simplify -1 into -1 14.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.468 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.468 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.468 * [taylor]: Taking taylor expansion of f in f 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify 1 into 1 14.469 * [backup-simplify]: Simplify (/ 1 1) into 1 14.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.469 * [taylor]: Taking taylor expansion of n in f 14.469 * [backup-simplify]: Simplify n into n 14.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.469 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.469 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.469 * [taylor]: Taking taylor expansion of f in f 14.469 * [backup-simplify]: Simplify 0 into 0 14.469 * [backup-simplify]: Simplify 1 into 1 14.469 * [backup-simplify]: Simplify (/ 1 1) into 1 14.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.469 * [taylor]: Taking taylor expansion of n in f 14.469 * [backup-simplify]: Simplify n into n 14.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.469 * [backup-simplify]: Simplify (+ 1 0) into 1 14.470 * [backup-simplify]: Simplify (+ 1 0) into 1 14.470 * [backup-simplify]: Simplify (/ 1 1) into 1 14.470 * [backup-simplify]: Simplify (* -1 1) into -1 14.470 * [taylor]: Taking taylor expansion of -1 in n 14.470 * [backup-simplify]: Simplify -1 into -1 14.470 * [backup-simplify]: Simplify -1 into -1 14.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.471 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.471 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 14.471 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 14.471 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 14.472 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 14.472 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.472 * [taylor]: Taking taylor expansion of 2 in n 14.472 * [backup-simplify]: Simplify 2 into 2 14.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.472 * [taylor]: Taking taylor expansion of n in n 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 1 into 1 14.472 * [backup-simplify]: Simplify (/ 1 1) into 1 14.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.473 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.473 * [backup-simplify]: Simplify (- 0) into 0 14.473 * [backup-simplify]: Simplify 0 into 0 14.473 * [backup-simplify]: Simplify 0 into 0 14.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.474 * [backup-simplify]: Simplify (+ 0 0) into 0 14.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.475 * [backup-simplify]: Simplify (- 0) into 0 14.475 * [backup-simplify]: Simplify (+ 0 0) into 0 14.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 14.476 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 14.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 14.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.476 * [taylor]: Taking taylor expansion of 2 in n 14.477 * [backup-simplify]: Simplify 2 into 2 14.477 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.477 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.477 * [taylor]: Taking taylor expansion of n in n 14.477 * [backup-simplify]: Simplify 0 into 0 14.477 * [backup-simplify]: Simplify 1 into 1 14.477 * [backup-simplify]: Simplify (* 1 1) into 1 14.477 * [backup-simplify]: Simplify (/ 1 1) into 1 14.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.480 * [backup-simplify]: Simplify (- 0) into 0 14.480 * [backup-simplify]: Simplify 0 into 0 14.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.481 * [backup-simplify]: Simplify (- 0) into 0 14.481 * [backup-simplify]: Simplify 0 into 0 14.481 * [backup-simplify]: Simplify 0 into 0 14.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.482 * [backup-simplify]: Simplify (+ 0 0) into 0 14.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.483 * [backup-simplify]: Simplify (- 0) into 0 14.483 * [backup-simplify]: Simplify (+ 0 0) into 0 14.484 * [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))) 14.485 * [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)))) 14.485 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 14.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.485 * [taylor]: Taking taylor expansion of 2 in n 14.485 * [backup-simplify]: Simplify 2 into 2 14.485 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.485 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.485 * [taylor]: Taking taylor expansion of n in n 14.485 * [backup-simplify]: Simplify 0 into 0 14.485 * [backup-simplify]: Simplify 1 into 1 14.485 * [backup-simplify]: Simplify (* 1 1) into 1 14.486 * [backup-simplify]: Simplify (* 1 1) into 1 14.486 * [backup-simplify]: Simplify (/ 1 1) into 1 14.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.494 * [backup-simplify]: Simplify (- 0) into 0 14.494 * [backup-simplify]: Simplify 0 into 0 14.494 * [backup-simplify]: Simplify -1 into -1 14.495 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 14.495 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 14.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 14.495 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.495 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.495 * [taylor]: Taking taylor expansion of f in n 14.495 * [backup-simplify]: Simplify f into f 14.495 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.495 * [taylor]: Taking taylor expansion of n in n 14.495 * [backup-simplify]: Simplify 0 into 0 14.495 * [backup-simplify]: Simplify 1 into 1 14.495 * [backup-simplify]: Simplify (/ 1 1) into 1 14.496 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 14.496 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.496 * [taylor]: Taking taylor expansion of n in n 14.496 * [backup-simplify]: Simplify 0 into 0 14.496 * [backup-simplify]: Simplify 1 into 1 14.496 * [backup-simplify]: Simplify (/ 1 1) into 1 14.496 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.496 * [taylor]: Taking taylor expansion of f in n 14.496 * [backup-simplify]: Simplify f into f 14.496 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.497 * [backup-simplify]: Simplify (+ 0 1) into 1 14.497 * [backup-simplify]: Simplify (+ 1 0) into 1 14.497 * [backup-simplify]: Simplify (/ 1 1) into 1 14.497 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.497 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.497 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.498 * [taylor]: Taking taylor expansion of f in f 14.498 * [backup-simplify]: Simplify 0 into 0 14.498 * [backup-simplify]: Simplify 1 into 1 14.498 * [backup-simplify]: Simplify (/ 1 1) into 1 14.498 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.498 * [taylor]: Taking taylor expansion of n in f 14.498 * [backup-simplify]: Simplify n into n 14.498 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.498 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.498 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.498 * [taylor]: Taking taylor expansion of n in f 14.498 * [backup-simplify]: Simplify n into n 14.498 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.498 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.498 * [taylor]: Taking taylor expansion of f in f 14.498 * [backup-simplify]: Simplify 0 into 0 14.498 * [backup-simplify]: Simplify 1 into 1 14.499 * [backup-simplify]: Simplify (/ 1 1) into 1 14.499 * [backup-simplify]: Simplify (+ 1 0) into 1 14.500 * [backup-simplify]: Simplify (- 1) into -1 14.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.500 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.501 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.501 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.501 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.501 * [taylor]: Taking taylor expansion of f in f 14.501 * [backup-simplify]: Simplify 0 into 0 14.501 * [backup-simplify]: Simplify 1 into 1 14.501 * [backup-simplify]: Simplify (/ 1 1) into 1 14.501 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.501 * [taylor]: Taking taylor expansion of n in f 14.501 * [backup-simplify]: Simplify n into n 14.501 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.501 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.501 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.501 * [taylor]: Taking taylor expansion of n in f 14.501 * [backup-simplify]: Simplify n into n 14.501 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.501 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.501 * [taylor]: Taking taylor expansion of f in f 14.502 * [backup-simplify]: Simplify 0 into 0 14.502 * [backup-simplify]: Simplify 1 into 1 14.502 * [backup-simplify]: Simplify (/ 1 1) into 1 14.502 * [backup-simplify]: Simplify (+ 1 0) into 1 14.503 * [backup-simplify]: Simplify (- 1) into -1 14.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.504 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.504 * [taylor]: Taking taylor expansion of -1 in n 14.504 * [backup-simplify]: Simplify -1 into -1 14.504 * [backup-simplify]: Simplify -1 into -1 14.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.505 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.506 * [backup-simplify]: Simplify (- 0) into 0 14.506 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 14.506 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 14.506 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 14.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.506 * [taylor]: Taking taylor expansion of 2 in n 14.506 * [backup-simplify]: Simplify 2 into 2 14.507 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.507 * [taylor]: Taking taylor expansion of n in n 14.507 * [backup-simplify]: Simplify 0 into 0 14.507 * [backup-simplify]: Simplify 1 into 1 14.507 * [backup-simplify]: Simplify (/ 1 1) into 1 14.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.508 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.509 * [backup-simplify]: Simplify (- 0) into 0 14.509 * [backup-simplify]: Simplify 0 into 0 14.509 * [backup-simplify]: Simplify 0 into 0 14.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.510 * [backup-simplify]: Simplify (+ 0 0) into 0 14.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.512 * [backup-simplify]: Simplify (- 0) into 0 14.512 * [backup-simplify]: Simplify (+ 0 0) into 0 14.513 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 14.513 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 14.513 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 14.513 * [taylor]: Taking taylor expansion of 2 in n 14.513 * [backup-simplify]: Simplify 2 into 2 14.513 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 14.514 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.514 * [taylor]: Taking taylor expansion of n in n 14.514 * [backup-simplify]: Simplify 0 into 0 14.514 * [backup-simplify]: Simplify 1 into 1 14.514 * [backup-simplify]: Simplify (* 1 1) into 1 14.514 * [backup-simplify]: Simplify (/ 1 1) into 1 14.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.519 * [backup-simplify]: Simplify (- 0) into 0 14.519 * [backup-simplify]: Simplify 0 into 0 14.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.521 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 14.521 * [backup-simplify]: Simplify (- 0) into 0 14.521 * [backup-simplify]: Simplify 0 into 0 14.521 * [backup-simplify]: Simplify 0 into 0 14.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.523 * [backup-simplify]: Simplify (+ 0 0) into 0 14.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.524 * [backup-simplify]: Simplify (- 0) into 0 14.525 * [backup-simplify]: Simplify (+ 0 0) into 0 14.527 * [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)))) 14.527 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 14.527 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 14.527 * [taylor]: Taking taylor expansion of 2 in n 14.527 * [backup-simplify]: Simplify 2 into 2 14.527 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 14.527 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.527 * [taylor]: Taking taylor expansion of n in n 14.527 * [backup-simplify]: Simplify 0 into 0 14.527 * [backup-simplify]: Simplify 1 into 1 14.527 * [backup-simplify]: Simplify (* 1 1) into 1 14.528 * [backup-simplify]: Simplify (* 1 1) into 1 14.528 * [backup-simplify]: Simplify (/ 1 1) into 1 14.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.541 * [backup-simplify]: Simplify (- 0) into 0 14.541 * [backup-simplify]: Simplify 0 into 0 14.541 * [backup-simplify]: Simplify -1 into -1 14.541 * * * [progress]: simplifying candidates 14.559 * [simplify]: Simplifying: (expm1 (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (log1p (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (+ 1 1) (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n)))) (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (sqrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (sqrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (- (+ f n)) (- (+ f n))) (* (- f n) (- f n)) (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))) (* (sqrt (/ (- (+ 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n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (sqrt (- f n))) (- (- f) n) (- (/ (+ n f) (+ (sqrt n) (sqrt f)))) (- (- f) n) (/ (- f n) (cbrt (- (- f) n))) (/ (- f n) (sqrt (- (- f) n))) (/ (- f n) (- (- f) n)) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (/ (- (+ n f)) (- (* f (* f f)) (* n (* n n)))) (- (/ (+ n f) (* (+ n f) (- f n)))) (* (fma n (- n f) (* f f)) (- f n)) (* (- f n) (- f n)) 1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 17.660 * * * [progress]: adding candidates to table 20.281 * [progress]: [Phase 3 of 3] Extracting. 20.281 * * [regime]: Finding splitpoints for: (# # #) 20.283 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 20.284 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 20.315 * * * * [regimes]: Trying to branch on n from (# # #) 20.355 * * * * [regimes]: Trying to branch on f from (# # #) 20.413 * * * [regime]: Found split indices: #