0.636 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.111 * * * [progress]: [2/2] Setting up program. 0.119 * [progress]: [Phase 2 of 3] Improving. 0.122 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.123 * * [simplify]: iteration 0: 6 enodes 0.129 * * [simplify]: iteration 1: 13 enodes 0.132 * * [simplify]: iteration 2: 16 enodes 0.136 * * [simplify]: iteration 3: 20 enodes 0.140 * * [simplify]: iteration 4: 26 enodes 0.146 * * [simplify]: iteration 5: 30 enodes 0.152 * * [simplify]: iteration 6: 32 enodes 0.158 * * [simplify]: iteration complete: 32 enodes 0.159 * * [simplify]: Extracting #0: cost 1 inf + 0 0.159 * * [simplify]: Extracting #1: cost 9 inf + 0 0.159 * * [simplify]: Extracting #2: cost 14 inf + 0 0.159 * * [simplify]: Extracting #3: cost 11 inf + 43 0.160 * * [simplify]: Extracting #4: cost 2 inf + 860 0.160 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.161 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.163 * * [progress]: iteration 1 / 4 0.163 * * * [progress]: picking best candidate 0.170 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.526 * * * [progress]: generating series expansions 0.526 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.533 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.533 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.534 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.534 * [taylor]: Taking taylor expansion of -1 in n 0.534 * [backup-simplify]: Simplify -1 into -1 0.534 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.534 * [taylor]: Taking taylor expansion of (+ n f) in n 0.534 * [taylor]: Taking taylor expansion of n in n 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of f in n 0.534 * [backup-simplify]: Simplify f into f 0.534 * [taylor]: Taking taylor expansion of (- f n) in n 0.534 * [taylor]: Taking taylor expansion of f in n 0.534 * [backup-simplify]: Simplify f into f 0.534 * [taylor]: Taking taylor expansion of n in n 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (+ 0 f) into f 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify (+ f 0) into f 0.536 * [backup-simplify]: Simplify (/ f f) into 1 0.536 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.536 * [taylor]: Taking taylor expansion of -1 in f 0.536 * [backup-simplify]: Simplify -1 into -1 0.536 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.536 * [taylor]: Taking taylor expansion of (+ n f) in f 0.536 * [taylor]: Taking taylor expansion of n in f 0.536 * [backup-simplify]: Simplify n into n 0.536 * [taylor]: Taking taylor expansion of f in f 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of (- f n) in f 0.536 * [taylor]: Taking taylor expansion of f in f 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of n in f 0.536 * [backup-simplify]: Simplify n into n 0.536 * [backup-simplify]: Simplify (+ n 0) into n 0.536 * [backup-simplify]: Simplify (- n) into (- n) 0.536 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.536 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.536 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.536 * [taylor]: Taking taylor expansion of -1 in f 0.536 * [backup-simplify]: Simplify -1 into -1 0.536 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.536 * [taylor]: Taking taylor expansion of (+ n f) in f 0.536 * [taylor]: Taking taylor expansion of n in f 0.536 * [backup-simplify]: Simplify n into n 0.536 * [taylor]: Taking taylor expansion of f in f 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of (- f n) in f 0.536 * [taylor]: Taking taylor expansion of f in f 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of n in f 0.537 * [backup-simplify]: Simplify n into n 0.537 * [backup-simplify]: Simplify (+ n 0) into n 0.537 * [backup-simplify]: Simplify (- n) into (- n) 0.537 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.537 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.538 * [backup-simplify]: Simplify (* -1 -1) into 1 0.538 * [taylor]: Taking taylor expansion of 1 in n 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (+ 0 1) into 1 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify (+ 1 0) into 1 0.540 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.541 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.541 * [taylor]: Taking taylor expansion of 2 in n 0.541 * [backup-simplify]: Simplify 2 into 2 0.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.541 * [taylor]: Taking taylor expansion of n in n 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.546 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.546 * [taylor]: Taking taylor expansion of 2 in n 0.546 * [backup-simplify]: Simplify 2 into 2 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.546 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.546 * [taylor]: Taking taylor expansion of n in n 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [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)))) 0.555 * [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))) 0.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.555 * [taylor]: Taking taylor expansion of 2 in n 0.555 * [backup-simplify]: Simplify 2 into 2 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.555 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.555 * [taylor]: Taking taylor expansion of n in n 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [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 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.560 * [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 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.565 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.565 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.565 * [taylor]: Taking taylor expansion of -1 in n 0.565 * [backup-simplify]: Simplify -1 into -1 0.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.565 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.565 * [taylor]: Taking taylor expansion of f in n 0.565 * [backup-simplify]: Simplify f into f 0.565 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.565 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.565 * [taylor]: Taking taylor expansion of n in n 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.566 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.566 * [taylor]: Taking taylor expansion of f in n 0.566 * [backup-simplify]: Simplify f into f 0.567 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.567 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [backup-simplify]: Simplify (+ 0 1) into 1 0.568 * [backup-simplify]: Simplify (- 1) into -1 0.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.569 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.569 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.569 * [taylor]: Taking taylor expansion of -1 in f 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.569 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.569 * [taylor]: Taking taylor expansion of f in f 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.570 * [taylor]: Taking taylor expansion of n in f 0.570 * [backup-simplify]: Simplify n into n 0.570 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.570 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.570 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.570 * [taylor]: Taking taylor expansion of f in f 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.570 * [taylor]: Taking taylor expansion of n in f 0.570 * [backup-simplify]: Simplify n into n 0.570 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.572 * [taylor]: Taking taylor expansion of -1 in f 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.572 * [taylor]: Taking taylor expansion of f in f 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.572 * [taylor]: Taking taylor expansion of n in f 0.572 * [backup-simplify]: Simplify n into n 0.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.572 * [taylor]: Taking taylor expansion of f in f 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.573 * [taylor]: Taking taylor expansion of n in f 0.573 * [backup-simplify]: Simplify n into n 0.573 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.573 * [backup-simplify]: Simplify (+ 1 0) into 1 0.574 * [backup-simplify]: Simplify (+ 1 0) into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [backup-simplify]: Simplify (* -1 1) into -1 0.575 * [taylor]: Taking taylor expansion of -1 in n 0.575 * [backup-simplify]: Simplify -1 into -1 0.575 * [backup-simplify]: Simplify -1 into -1 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.577 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.577 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.577 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.577 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.577 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.578 * [taylor]: Taking taylor expansion of 2 in n 0.578 * [backup-simplify]: Simplify 2 into 2 0.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.586 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.586 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n 0.586 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.600 * [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 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [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 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [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))) 0.606 * [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)))) 0.606 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.606 * [taylor]: Taking taylor expansion of 2 in n 0.606 * [backup-simplify]: Simplify 2 into 2 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.606 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.612 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.612 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.613 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.613 * [taylor]: Taking taylor expansion of f in n 0.613 * [backup-simplify]: Simplify f into f 0.613 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.613 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.613 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.613 * [taylor]: Taking taylor expansion of f in n 0.613 * [backup-simplify]: Simplify f into f 0.613 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.614 * [backup-simplify]: Simplify (+ 0 1) into 1 0.614 * [backup-simplify]: Simplify (+ 1 0) into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.614 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.614 * [taylor]: Taking taylor expansion of f in f 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.614 * [taylor]: Taking taylor expansion of n in f 0.614 * [backup-simplify]: Simplify n into n 0.615 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.615 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.615 * [taylor]: Taking taylor expansion of n in f 0.615 * [backup-simplify]: Simplify n into n 0.615 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.615 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.615 * [taylor]: Taking taylor expansion of f in f 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [backup-simplify]: Simplify (+ 1 0) into 1 0.615 * [backup-simplify]: Simplify (- 1) into -1 0.616 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.616 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.616 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.616 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.616 * [taylor]: Taking taylor expansion of f in f 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.616 * [taylor]: Taking taylor expansion of n in f 0.616 * [backup-simplify]: Simplify n into n 0.616 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.616 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.616 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.616 * [taylor]: Taking taylor expansion of n in f 0.616 * [backup-simplify]: Simplify n into n 0.617 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.617 * [taylor]: Taking taylor expansion of f in f 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.617 * [backup-simplify]: Simplify (+ 1 0) into 1 0.617 * [backup-simplify]: Simplify (- 1) into -1 0.618 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.618 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.618 * [taylor]: Taking taylor expansion of -1 in n 0.618 * [backup-simplify]: Simplify -1 into -1 0.618 * [backup-simplify]: Simplify -1 into -1 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.620 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.620 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.620 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.620 * [taylor]: Taking taylor expansion of 2 in n 0.620 * [backup-simplify]: Simplify 2 into 2 0.620 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- 0) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.624 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.624 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.624 * [taylor]: Taking taylor expansion of 2 in n 0.624 * [backup-simplify]: Simplify 2 into 2 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.624 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.624 * [taylor]: Taking taylor expansion of n in n 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.629 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [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)))) 0.632 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.632 * [taylor]: Taking taylor expansion of 2 in n 0.632 * [backup-simplify]: Simplify 2 into 2 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.632 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify -1 into -1 0.639 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.642 * * [simplify]: iteration 0: 133 enodes 0.665 * * [simplify]: iteration 1: 311 enodes 0.761 * * [simplify]: iteration 2: 1064 enodes 1.067 * * [simplify]: iteration complete: 5002 enodes 1.067 * * [simplify]: Extracting #0: cost 86 inf + 0 1.068 * * [simplify]: Extracting #1: cost 588 inf + 3 1.071 * * [simplify]: Extracting #2: cost 1389 inf + 129 1.077 * * [simplify]: Extracting #3: cost 1982 inf + 10600 1.126 * * [simplify]: Extracting #4: cost 1214 inf + 164085 1.216 * * [simplify]: Extracting #5: cost 84 inf + 395506 1.350 * * [simplify]: Extracting #6: cost 27 inf + 408638 1.472 * * [simplify]: Extracting #7: cost 3 inf + 412977 1.562 * * [simplify]: Extracting #8: cost 0 inf + 413736 1.669 * [simplify]: Simplified to: (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))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (* (/ (cbrt (- (+ f n))) (+ (sqrt n) (sqrt f))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (- (* (/ (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))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (cbrt (+ f n))) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (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)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (- (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (- (/ (+ f n) (+ (sqrt n) (sqrt f)))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ 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) (- (* f (* f f)) (* n (* n n))))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 1.679 * * * [progress]: adding candidates to table 2.021 * * [progress]: iteration 2 / 4 2.021 * * * [progress]: picking best candidate 2.028 * * * * [pick]: Picked # 2.028 * * * [progress]: localizing error 2.058 * * * [progress]: generating rewritten candidates 2.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.433 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.671 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.774 * * * [progress]: generating series expansions 2.774 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.781 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 2.781 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 2.781 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 2.781 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 2.781 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.781 * [taylor]: Taking taylor expansion of -1 in n 2.781 * [backup-simplify]: Simplify -1 into -1 2.782 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.783 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.783 * [taylor]: Taking taylor expansion of (+ n f) in n 2.783 * [taylor]: Taking taylor expansion of n in n 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [taylor]: Taking taylor expansion of f in n 2.783 * [backup-simplify]: Simplify f into f 2.783 * [taylor]: Taking taylor expansion of (- f n) in n 2.783 * [taylor]: Taking taylor expansion of f in n 2.783 * [backup-simplify]: Simplify f into f 2.783 * [taylor]: Taking taylor expansion of n in n 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (+ 0 f) into f 2.783 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ f 0) into f 2.784 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 2.784 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.784 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.784 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.784 * [taylor]: Taking taylor expansion of -1 in f 2.784 * [backup-simplify]: Simplify -1 into -1 2.784 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.785 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.785 * [taylor]: Taking taylor expansion of (+ n f) in f 2.785 * [taylor]: Taking taylor expansion of n in f 2.785 * [backup-simplify]: Simplify n into n 2.785 * [taylor]: Taking taylor expansion of f in f 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [taylor]: Taking taylor expansion of (- f n) in f 2.785 * [taylor]: Taking taylor expansion of f in f 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [taylor]: Taking taylor expansion of n in f 2.785 * [backup-simplify]: Simplify n into n 2.785 * [backup-simplify]: Simplify (+ n 0) into n 2.785 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 2.786 * [backup-simplify]: Simplify (- n) into (- n) 2.786 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.786 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 2.786 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.786 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.786 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.786 * [taylor]: Taking taylor expansion of -1 in f 2.786 * [backup-simplify]: Simplify -1 into -1 2.787 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.787 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.787 * [taylor]: Taking taylor expansion of (+ n f) in f 2.787 * [taylor]: Taking taylor expansion of n in f 2.787 * [backup-simplify]: Simplify n into n 2.788 * [taylor]: Taking taylor expansion of f in f 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of (- f n) in f 2.788 * [taylor]: Taking taylor expansion of f in f 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of n in f 2.788 * [backup-simplify]: Simplify n into n 2.788 * [backup-simplify]: Simplify (+ n 0) into n 2.788 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 2.788 * [backup-simplify]: Simplify (- n) into (- n) 2.788 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.789 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 2.789 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 2.789 * [taylor]: Taking taylor expansion of -1 in n 2.789 * [backup-simplify]: Simplify -1 into -1 2.789 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.789 * [taylor]: Taking taylor expansion of -1 in n 2.789 * [backup-simplify]: Simplify -1 into -1 2.790 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.790 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.791 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.792 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.793 * [backup-simplify]: Simplify (+ 0 1) into 1 2.794 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 1 0) into 1 2.796 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 2.796 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 2.796 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.796 * [taylor]: Taking taylor expansion of 2 in n 2.796 * [backup-simplify]: Simplify 2 into 2 2.796 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.796 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.796 * [taylor]: Taking taylor expansion of -1 in n 2.796 * [backup-simplify]: Simplify -1 into -1 2.797 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.797 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.797 * [taylor]: Taking taylor expansion of n in n 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 2.799 * [backup-simplify]: Simplify (- 0) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.802 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 2.802 * [backup-simplify]: Simplify (- 0) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 2.804 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 2.804 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 2.804 * [taylor]: Taking taylor expansion of 2 in n 2.804 * [backup-simplify]: Simplify 2 into 2 2.804 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.804 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.804 * [taylor]: Taking taylor expansion of -1 in n 2.804 * [backup-simplify]: Simplify -1 into -1 2.804 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.805 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.805 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.805 * [taylor]: Taking taylor expansion of n in n 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.810 * [backup-simplify]: Simplify (- 0) into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.812 * [backup-simplify]: Simplify (- 0) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.814 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.815 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 2.818 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 2.818 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 2.818 * [taylor]: Taking taylor expansion of 2 in n 2.818 * [backup-simplify]: Simplify 2 into 2 2.818 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.818 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.818 * [taylor]: Taking taylor expansion of -1 in n 2.818 * [backup-simplify]: Simplify -1 into -1 2.818 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.818 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.818 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.818 * [taylor]: Taking taylor expansion of n in n 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.827 * [backup-simplify]: Simplify (- 0) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.828 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) 2.828 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.828 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 2.828 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 2.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.829 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.829 * [taylor]: Taking taylor expansion of f in n 2.829 * [backup-simplify]: Simplify f into f 2.829 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.829 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.829 * [taylor]: Taking taylor expansion of n in n 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (/ 1 1) into 1 2.829 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.829 * [taylor]: Taking taylor expansion of -1 in n 2.829 * [backup-simplify]: Simplify -1 into -1 2.829 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.830 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.830 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.830 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.830 * [taylor]: Taking taylor expansion of f in n 2.830 * [backup-simplify]: Simplify f into f 2.830 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (/ 1 1) into 1 2.831 * [backup-simplify]: Simplify (+ 0 1) into 1 2.832 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.833 * [backup-simplify]: Simplify (- 1) into -1 2.833 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.834 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 2.834 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 2.834 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 2.834 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.834 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.834 * [taylor]: Taking taylor expansion of f in f 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.835 * [taylor]: Taking taylor expansion of n in f 2.835 * [backup-simplify]: Simplify n into n 2.835 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.835 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.835 * [taylor]: Taking taylor expansion of -1 in f 2.835 * [backup-simplify]: Simplify -1 into -1 2.835 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.836 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.836 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.836 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.836 * [taylor]: Taking taylor expansion of f in f 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.837 * [taylor]: Taking taylor expansion of n in f 2.837 * [backup-simplify]: Simplify n into n 2.837 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.838 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.839 * [backup-simplify]: Simplify (+ 1 0) into 1 2.840 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.840 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 2.840 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 2.840 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.840 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.840 * [taylor]: Taking taylor expansion of f in f 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ 1 1) into 1 2.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.840 * [taylor]: Taking taylor expansion of n in f 2.840 * [backup-simplify]: Simplify n into n 2.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.840 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.840 * [taylor]: Taking taylor expansion of -1 in f 2.841 * [backup-simplify]: Simplify -1 into -1 2.841 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.842 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.842 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.842 * [taylor]: Taking taylor expansion of f in f 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.842 * [taylor]: Taking taylor expansion of n in f 2.842 * [backup-simplify]: Simplify n into n 2.842 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.843 * [backup-simplify]: Simplify (+ 1 0) into 1 2.844 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 2.844 * [backup-simplify]: Simplify (+ 1 0) into 1 2.845 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.845 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.845 * [taylor]: Taking taylor expansion of -1 in n 2.845 * [backup-simplify]: Simplify -1 into -1 2.846 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.847 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.847 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) (cbrt -1))) into (/ (cbrt -1) n) 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.850 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.851 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 2.851 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.851 * [taylor]: Taking taylor expansion of 2 in n 2.851 * [backup-simplify]: Simplify 2 into 2 2.851 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.851 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.851 * [taylor]: Taking taylor expansion of -1 in n 2.851 * [backup-simplify]: Simplify -1 into -1 2.852 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.852 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.852 * [taylor]: Taking taylor expansion of n in n 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.858 * [backup-simplify]: Simplify (+ 0 0) into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 (cbrt -1)))) into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.861 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 2.863 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 2.863 * [taylor]: Taking taylor expansion of 2 in n 2.863 * [backup-simplify]: Simplify 2 into 2 2.863 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.863 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.863 * [taylor]: Taking taylor expansion of -1 in n 2.863 * [backup-simplify]: Simplify -1 into -1 2.864 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.865 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.865 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.865 * [taylor]: Taking taylor expansion of n in n 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.885 * [backup-simplify]: Simplify (- 0) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 2.888 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 2.888 * [taylor]: Taking taylor expansion of 2 in n 2.888 * [backup-simplify]: Simplify 2 into 2 2.888 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.888 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.888 * [taylor]: Taking taylor expansion of -1 in n 2.888 * [backup-simplify]: Simplify -1 into -1 2.889 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.890 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.890 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.890 * [taylor]: Taking taylor expansion of n in n 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.909 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.909 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.909 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.909 * [taylor]: Taking taylor expansion of f in n 2.909 * [backup-simplify]: Simplify f into f 2.909 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.909 * [taylor]: Taking taylor expansion of n in n 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.910 * [taylor]: Taking taylor expansion of n in n 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.910 * [taylor]: Taking taylor expansion of f in n 2.910 * [backup-simplify]: Simplify f into f 2.910 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.910 * [backup-simplify]: Simplify (+ 0 1) into 1 2.911 * [backup-simplify]: Simplify (+ 1 0) into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.911 * [taylor]: Taking taylor expansion of f in f 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.911 * [taylor]: Taking taylor expansion of n in f 2.911 * [backup-simplify]: Simplify n into n 2.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.911 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.911 * [taylor]: Taking taylor expansion of n in f 2.911 * [backup-simplify]: Simplify n into n 2.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.911 * [taylor]: Taking taylor expansion of f in f 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [backup-simplify]: Simplify (+ 1 0) into 1 2.912 * [backup-simplify]: Simplify (- 1) into -1 2.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.913 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.913 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.913 * [taylor]: Taking taylor expansion of f in f 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.913 * [taylor]: Taking taylor expansion of n in f 2.913 * [backup-simplify]: Simplify n into n 2.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.913 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.913 * [taylor]: Taking taylor expansion of n in f 2.913 * [backup-simplify]: Simplify n into n 2.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.913 * [taylor]: Taking taylor expansion of f in f 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (- 1) into -1 2.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.915 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.915 * [taylor]: Taking taylor expansion of -1 in n 2.915 * [backup-simplify]: Simplify -1 into -1 2.915 * [backup-simplify]: Simplify -1 into -1 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (- 0) into 0 2.916 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.916 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.916 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.916 * [taylor]: Taking taylor expansion of 2 in n 2.916 * [backup-simplify]: Simplify 2 into 2 2.916 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.916 * [taylor]: Taking taylor expansion of n in n 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (/ 1 1) into 1 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.917 * [backup-simplify]: Simplify (- 0) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (- 0) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.920 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.920 * [taylor]: Taking taylor expansion of 2 in n 2.920 * [backup-simplify]: Simplify 2 into 2 2.920 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.920 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.920 * [taylor]: Taking taylor expansion of n in n 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (* 1 1) into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.924 * [backup-simplify]: Simplify (- 0) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.925 * [backup-simplify]: Simplify (- 0) into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (- 0) into 0 2.927 * [backup-simplify]: Simplify (+ 0 0) into 0 2.928 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.928 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.928 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.928 * [taylor]: Taking taylor expansion of 2 in n 2.928 * [backup-simplify]: Simplify 2 into 2 2.928 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.928 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.928 * [taylor]: Taking taylor expansion of n in n 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (* 1 1) into 1 2.929 * [backup-simplify]: Simplify (* 1 1) into 1 2.929 * [backup-simplify]: Simplify (/ 1 1) into 1 2.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (- 0) into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify -1 into -1 2.934 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.934 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 2.934 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 2.934 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 2.934 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 2.934 * [taylor]: Taking taylor expansion of (+ n f) in n 2.934 * [taylor]: Taking taylor expansion of n in n 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [taylor]: Taking taylor expansion of f in n 2.934 * [backup-simplify]: Simplify f into f 2.934 * [backup-simplify]: Simplify (+ 0 f) into f 2.934 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 2.934 * [taylor]: Taking taylor expansion of (- f n) in n 2.935 * [taylor]: Taking taylor expansion of f in n 2.935 * [backup-simplify]: Simplify f into f 2.935 * [taylor]: Taking taylor expansion of n in n 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ f 0) into f 2.935 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.935 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.935 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 2.935 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 2.935 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 2.935 * [taylor]: Taking taylor expansion of (+ n f) in f 2.935 * [taylor]: Taking taylor expansion of n in f 2.935 * [backup-simplify]: Simplify n into n 2.935 * [taylor]: Taking taylor expansion of f in f 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (+ n 0) into n 2.935 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.935 * [taylor]: Taking taylor expansion of (- f n) in f 2.935 * [taylor]: Taking taylor expansion of f in f 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [taylor]: Taking taylor expansion of n in f 2.935 * [backup-simplify]: Simplify n into n 2.935 * [backup-simplify]: Simplify (- n) into (- n) 2.935 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.935 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.935 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.936 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.936 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 2.936 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 2.936 * [taylor]: Taking taylor expansion of (+ n f) in f 2.936 * [taylor]: Taking taylor expansion of n in f 2.936 * [backup-simplify]: Simplify n into n 2.936 * [taylor]: Taking taylor expansion of f in f 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (+ n 0) into n 2.936 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.936 * [taylor]: Taking taylor expansion of (- f n) in f 2.936 * [taylor]: Taking taylor expansion of f in f 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [taylor]: Taking taylor expansion of n in f 2.936 * [backup-simplify]: Simplify n into n 2.936 * [backup-simplify]: Simplify (- n) into (- n) 2.936 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.936 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.936 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.936 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.936 * [taylor]: Taking taylor expansion of 1 in n 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (+ 0 1) into 1 2.937 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 2.937 * [backup-simplify]: Simplify (- 0) into 0 2.937 * [backup-simplify]: Simplify (+ 1 0) into 1 2.937 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 2.937 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 2.937 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 2.937 * [taylor]: Taking taylor expansion of 4 in n 2.937 * [backup-simplify]: Simplify 4 into 4 2.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.937 * [taylor]: Taking taylor expansion of n in n 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.939 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 2.939 * [backup-simplify]: Simplify (- 0) into 0 2.940 * [backup-simplify]: Simplify (+ 0 0) into 0 2.940 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 2.940 * [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))) 2.940 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 2.940 * [taylor]: Taking taylor expansion of 8 in n 2.940 * [backup-simplify]: Simplify 8 into 8 2.940 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.940 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.940 * [taylor]: Taking taylor expansion of n in n 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (* 1 1) into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 2.947 * [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))) 2.947 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 2.947 * [taylor]: Taking taylor expansion of 12 in n 2.947 * [backup-simplify]: Simplify 12 into 12 2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.947 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.947 * [taylor]: Taking taylor expansion of n in n 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [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)) 2.953 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 2.953 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 2.953 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 2.953 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.953 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.953 * [taylor]: Taking taylor expansion of f in n 2.953 * [backup-simplify]: Simplify f into f 2.953 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.953 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.953 * [taylor]: Taking taylor expansion of n in n 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (/ 1 1) into 1 2.954 * [backup-simplify]: Simplify (+ 0 1) into 1 2.954 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 2.954 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.954 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.954 * [taylor]: Taking taylor expansion of f in n 2.954 * [backup-simplify]: Simplify f into f 2.954 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.954 * [taylor]: Taking taylor expansion of n in n 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [backup-simplify]: Simplify (- 1) into -1 2.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.955 * [backup-simplify]: Simplify (* 1 1) into 1 2.955 * [backup-simplify]: Simplify (* -1 -1) into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.956 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.956 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.956 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.956 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.956 * [taylor]: Taking taylor expansion of f in f 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.956 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.956 * [taylor]: Taking taylor expansion of n in f 2.956 * [backup-simplify]: Simplify n into n 2.956 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.956 * [backup-simplify]: Simplify (+ 1 0) into 1 2.956 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.956 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.956 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.956 * [taylor]: Taking taylor expansion of f in f 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (/ 1 1) into 1 2.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.957 * [taylor]: Taking taylor expansion of n in f 2.957 * [backup-simplify]: Simplify n into n 2.957 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.957 * [backup-simplify]: Simplify (+ 1 0) into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.958 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.958 * [taylor]: Taking taylor expansion of f in f 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.958 * [taylor]: Taking taylor expansion of n in f 2.958 * [backup-simplify]: Simplify n into n 2.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.958 * [backup-simplify]: Simplify (+ 1 0) into 1 2.958 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.958 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.958 * [taylor]: Taking taylor expansion of f in f 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.959 * [taylor]: Taking taylor expansion of n in f 2.959 * [backup-simplify]: Simplify n into n 2.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.959 * [backup-simplify]: Simplify (+ 1 0) into 1 2.959 * [backup-simplify]: Simplify (* 1 1) into 1 2.959 * [backup-simplify]: Simplify (* 1 1) into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.960 * [taylor]: Taking taylor expansion of 1 in n 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.960 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.961 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.961 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 2.961 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 2.961 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 2.961 * [taylor]: Taking taylor expansion of 4 in n 2.961 * [backup-simplify]: Simplify 4 into 4 2.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.961 * [taylor]: Taking taylor expansion of n in n 2.961 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.967 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 2.969 * [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))) 2.969 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 2.969 * [taylor]: Taking taylor expansion of 8 in n 2.969 * [backup-simplify]: Simplify 8 into 8 2.969 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.969 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.970 * [taylor]: Taking taylor expansion of n in n 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.981 * [backup-simplify]: Simplify (- 0) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 2.984 * [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))) 2.984 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 2.984 * [taylor]: Taking taylor expansion of 12 in n 2.984 * [backup-simplify]: Simplify 12 into 12 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.984 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.984 * [taylor]: Taking taylor expansion of n in n 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [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)) 2.995 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 2.995 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 2.995 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 2.995 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.995 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.995 * [taylor]: Taking taylor expansion of f in n 2.995 * [backup-simplify]: Simplify f into f 2.995 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.995 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.995 * [taylor]: Taking taylor expansion of n in n 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [backup-simplify]: Simplify (+ 0 1) into 1 2.996 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 2.996 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.996 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.996 * [taylor]: Taking taylor expansion of n in n 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (/ 1 1) into 1 2.997 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.997 * [taylor]: Taking taylor expansion of f in n 2.997 * [backup-simplify]: Simplify f into f 2.997 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.997 * [backup-simplify]: Simplify (+ 1 0) into 1 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.998 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 2.999 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.999 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.999 * [taylor]: Taking taylor expansion of f in f 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.999 * [taylor]: Taking taylor expansion of n in f 2.999 * [backup-simplify]: Simplify n into n 2.999 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.000 * [backup-simplify]: Simplify (+ 1 0) into 1 3.000 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.000 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.000 * [taylor]: Taking taylor expansion of n in f 3.000 * [backup-simplify]: Simplify n into n 3.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.000 * [taylor]: Taking taylor expansion of f in f 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.001 * [backup-simplify]: Simplify (* 1 1) into 1 3.002 * [backup-simplify]: Simplify (* -1 -1) into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.002 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.002 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.002 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.002 * [taylor]: Taking taylor expansion of f in f 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.003 * [taylor]: Taking taylor expansion of n in f 3.003 * [backup-simplify]: Simplify n into n 3.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.003 * [backup-simplify]: Simplify (+ 1 0) into 1 3.003 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.004 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.004 * [taylor]: Taking taylor expansion of n in f 3.004 * [backup-simplify]: Simplify n into n 3.004 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.004 * [taylor]: Taking taylor expansion of f in f 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify (/ 1 1) into 1 3.005 * [backup-simplify]: Simplify (- 1) into -1 3.005 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.005 * [backup-simplify]: Simplify (* 1 1) into 1 3.006 * [backup-simplify]: Simplify (* -1 -1) into 1 3.006 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [taylor]: Taking taylor expansion of 1 in n 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.007 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.009 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.009 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 3.009 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 3.009 * [taylor]: Taking taylor expansion of 4 in n 3.009 * [backup-simplify]: Simplify 4 into 4 3.009 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (- 0) into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.020 * [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))) 3.020 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 3.020 * [taylor]: Taking taylor expansion of 8 in n 3.020 * [backup-simplify]: Simplify 8 into 8 3.020 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.020 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.020 * [taylor]: Taking taylor expansion of n in n 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (* 1 1) into 1 3.021 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- 0) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 3.036 * [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))) 3.036 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 3.036 * [taylor]: Taking taylor expansion of 12 in n 3.036 * [backup-simplify]: Simplify 12 into 12 3.036 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.036 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.036 * [taylor]: Taking taylor expansion of n in n 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify (* 1 1) into 1 3.037 * [backup-simplify]: Simplify (* 1 1) into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.047 * [backup-simplify]: Simplify (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) into (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) 3.047 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in (f n) around 0 3.047 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in n 3.047 * [taylor]: Taking taylor expansion of -1 in n 3.047 * [backup-simplify]: Simplify -1 into -1 3.047 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in n 3.047 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in n 3.047 * [taylor]: Taking taylor expansion of (+ n f) in n 3.047 * [taylor]: Taking taylor expansion of n in n 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 1 into 1 3.047 * [taylor]: Taking taylor expansion of f in n 3.047 * [backup-simplify]: Simplify f into f 3.047 * [backup-simplify]: Simplify (+ 0 f) into f 3.047 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n 3.047 * [taylor]: Taking taylor expansion of (- f n) in n 3.047 * [taylor]: Taking taylor expansion of f in n 3.047 * [backup-simplify]: Simplify f into f 3.047 * [taylor]: Taking taylor expansion of n in n 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 1 into 1 3.048 * [backup-simplify]: Simplify (- 0) into 0 3.048 * [backup-simplify]: Simplify (+ f 0) into f 3.048 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.048 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 3.048 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.048 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 3.048 * [backup-simplify]: Simplify (/ (pow f 3) (pow f 3)) into 1 3.048 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 3.048 * [taylor]: Taking taylor expansion of -1 in f 3.048 * [backup-simplify]: Simplify -1 into -1 3.048 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 3.048 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 3.048 * [taylor]: Taking taylor expansion of (+ n f) in f 3.048 * [taylor]: Taking taylor expansion of n in f 3.048 * [backup-simplify]: Simplify n into n 3.048 * [taylor]: Taking taylor expansion of f in f 3.048 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (+ n 0) into n 3.049 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 3.049 * [taylor]: Taking taylor expansion of (- f n) in f 3.049 * [taylor]: Taking taylor expansion of f in f 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of n in f 3.049 * [backup-simplify]: Simplify n into n 3.049 * [backup-simplify]: Simplify (- n) into (- n) 3.049 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.049 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.049 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 3.049 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.049 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 3.049 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 3.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 3.050 * [taylor]: Taking taylor expansion of -1 in f 3.050 * [backup-simplify]: Simplify -1 into -1 3.050 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 3.050 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 3.050 * [taylor]: Taking taylor expansion of (+ n f) in f 3.050 * [taylor]: Taking taylor expansion of n in f 3.050 * [backup-simplify]: Simplify n into n 3.050 * [taylor]: Taking taylor expansion of f in f 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (+ n 0) into n 3.050 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 3.050 * [taylor]: Taking taylor expansion of (- f n) in f 3.050 * [taylor]: Taking taylor expansion of f in f 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [taylor]: Taking taylor expansion of n in f 3.050 * [backup-simplify]: Simplify n into n 3.050 * [backup-simplify]: Simplify (- n) into (- n) 3.050 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.050 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.050 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 3.050 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.051 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 3.051 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 3.051 * [backup-simplify]: Simplify (* -1 -1) into 1 3.051 * [taylor]: Taking taylor expansion of 1 in n 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (+ 0 1) into 1 3.052 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 3.052 * [backup-simplify]: Simplify (+ (* n (* 2 n)) (* 1 (pow n 2))) into (* 3 (pow n 2)) 3.053 * [backup-simplify]: Simplify (- 0) into 0 3.053 * [backup-simplify]: Simplify (+ 1 0) into 1 3.053 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 3.053 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2)) 3.054 * [backup-simplify]: Simplify (- (/ (* 3 (pow n 2)) (* -1 (pow n 3))) (+ (* -1 (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 6 (/ 1 n))) 3.055 * [backup-simplify]: Simplify (+ (* -1 (- (* 6 (/ 1 n)))) (* 0 -1)) into (* 6 (/ 1 n)) 3.055 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.055 * [taylor]: Taking taylor expansion of 6 in n 3.055 * [backup-simplify]: Simplify 6 into 6 3.055 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.055 * [taylor]: Taking taylor expansion of n in n 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (/ 1 1) into 1 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 3.058 * [backup-simplify]: Simplify (+ (* n 1) (+ (* 1 (* 2 n)) (* 0 (pow n 2)))) into (* 3 n) 3.058 * [backup-simplify]: Simplify (- 0) into 0 3.058 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 3.059 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n)) 3.060 * [backup-simplify]: Simplify (- (/ (* 3 n) (* -1 (pow n 3))) (+ (* -1 (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 18 (/ 1 (pow n 2)))) 3.061 * [backup-simplify]: Simplify (+ (* -1 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1))) into (* 18 (/ 1 (pow n 2))) 3.061 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.061 * [taylor]: Taking taylor expansion of 18 in n 3.061 * [backup-simplify]: Simplify 18 into 18 3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.061 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.061 * [taylor]: Taking taylor expansion of n in n 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (/ 1 1) into 1 3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 3.070 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2))))) into 1 3.070 * [backup-simplify]: Simplify (- 0) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 3.072 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (+ (* 0 (- (* 2 n))) (* 0 (pow n 2))))) into 1 3.073 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* -1 (/ 1 (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 38 (/ 1 (pow n 3)))) 3.074 * [backup-simplify]: Simplify (+ (* -1 (- (* 38 (/ 1 (pow n 3))))) (+ (* 0 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1)))) into (* 38 (/ 1 (pow n 3))) 3.074 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.074 * [taylor]: Taking taylor expansion of 38 in n 3.074 * [backup-simplify]: Simplify 38 into 38 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.074 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.074 * [taylor]: Taking taylor expansion of n in n 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) 3.085 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in (f n) around 0 3.085 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in n 3.085 * [taylor]: Taking taylor expansion of -1 in n 3.085 * [backup-simplify]: Simplify -1 into -1 3.086 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in n 3.086 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 3.086 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.086 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.086 * [taylor]: Taking taylor expansion of f in n 3.086 * [backup-simplify]: Simplify f into f 3.086 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.086 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.086 * [taylor]: Taking taylor expansion of n in n 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (/ 1 1) into 1 3.087 * [backup-simplify]: Simplify (+ 0 1) into 1 3.087 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n 3.087 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.087 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.087 * [taylor]: Taking taylor expansion of f in n 3.087 * [backup-simplify]: Simplify f into f 3.087 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.087 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.087 * [taylor]: Taking taylor expansion of n in n 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [backup-simplify]: Simplify (- 1) into -1 3.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.088 * [backup-simplify]: Simplify (* 1 1) into 1 3.089 * [backup-simplify]: Simplify (* 1 1) into 1 3.089 * [backup-simplify]: Simplify (* -1 -1) into 1 3.090 * [backup-simplify]: Simplify (* -1 1) into -1 3.090 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.090 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 3.090 * [taylor]: Taking taylor expansion of -1 in f 3.090 * [backup-simplify]: Simplify -1 into -1 3.090 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 3.090 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.090 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.090 * [taylor]: Taking taylor expansion of f in f 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.091 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.091 * [taylor]: Taking taylor expansion of n in f 3.091 * [backup-simplify]: Simplify n into n 3.091 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.091 * [backup-simplify]: Simplify (+ 1 0) into 1 3.091 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 3.091 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.091 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.091 * [taylor]: Taking taylor expansion of f in f 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (/ 1 1) into 1 3.092 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.092 * [taylor]: Taking taylor expansion of n in f 3.092 * [backup-simplify]: Simplify n into n 3.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.092 * [backup-simplify]: Simplify (+ 1 0) into 1 3.093 * [backup-simplify]: Simplify (* 1 1) into 1 3.093 * [backup-simplify]: Simplify (* 1 1) into 1 3.093 * [backup-simplify]: Simplify (* 1 1) into 1 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.094 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 3.094 * [taylor]: Taking taylor expansion of -1 in f 3.094 * [backup-simplify]: Simplify -1 into -1 3.095 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 3.095 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.095 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.095 * [taylor]: Taking taylor expansion of f in f 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.095 * [taylor]: Taking taylor expansion of n in f 3.095 * [backup-simplify]: Simplify n into n 3.095 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.096 * [backup-simplify]: Simplify (+ 1 0) into 1 3.096 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 3.096 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.096 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.096 * [taylor]: Taking taylor expansion of f in f 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (/ 1 1) into 1 3.096 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.096 * [taylor]: Taking taylor expansion of n in f 3.096 * [backup-simplify]: Simplify n into n 3.096 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.097 * [backup-simplify]: Simplify (+ 1 0) into 1 3.097 * [backup-simplify]: Simplify (* 1 1) into 1 3.097 * [backup-simplify]: Simplify (* 1 1) into 1 3.098 * [backup-simplify]: Simplify (* 1 1) into 1 3.098 * [backup-simplify]: Simplify (* 1 1) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [backup-simplify]: Simplify (* -1 1) into -1 3.099 * [taylor]: Taking taylor expansion of -1 in n 3.099 * [backup-simplify]: Simplify -1 into -1 3.099 * [backup-simplify]: Simplify -1 into -1 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.100 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.100 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.101 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.102 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 3.102 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n))) 3.102 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 6 (/ 1 n)) 3.103 * [backup-simplify]: Simplify (+ (* -1 (* 6 (/ 1 n))) (* 0 1)) into (- (* 6 (/ 1 n))) 3.103 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 3.103 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.103 * [taylor]: Taking taylor expansion of 6 in n 3.103 * [backup-simplify]: Simplify 6 into 6 3.103 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.103 * [taylor]: Taking taylor expansion of n in n 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.105 * [backup-simplify]: Simplify (- 0) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.107 * [backup-simplify]: Simplify (+ 0 0) into 0 3.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.108 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.110 * [backup-simplify]: Simplify (- 0) into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 3.112 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 3.113 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 6 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 18 (/ 1 (pow n 2))) 3.113 * [backup-simplify]: Simplify (+ (* -1 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1))) into (- (* 18 (/ 1 (pow n 2)))) 3.113 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 3.114 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.114 * [taylor]: Taking taylor expansion of 18 in n 3.114 * [backup-simplify]: Simplify 18 into 18 3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.114 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.114 * [taylor]: Taking taylor expansion of n in n 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify (/ 1 1) into 1 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.119 * [backup-simplify]: Simplify (- 0) into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.121 * [backup-simplify]: Simplify (- 0) into 0 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.126 * [backup-simplify]: Simplify (- 0) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (- (/ 1 (pow n 3))) 3.130 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) 1) (+ (* 1 (/ (- (/ 1 (pow n 3))) 1)) (* (* 6 (/ 1 n)) (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 18 (/ 1 (pow n 2))) (/ (- (* 3 (/ 1 n))) 1)))) into (* 38 (/ 1 (pow n 3))) 3.131 * [backup-simplify]: Simplify (+ (* -1 (* 38 (/ 1 (pow n 3)))) (+ (* 0 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1)))) into (- (* 38 (/ 1 (pow n 3)))) 3.131 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 3.131 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.131 * [taylor]: Taking taylor expansion of 38 in n 3.131 * [backup-simplify]: Simplify 38 into 38 3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.131 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.131 * [taylor]: Taking taylor expansion of n in n 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (* 1 1) into 1 3.132 * [backup-simplify]: Simplify (* 1 1) into 1 3.132 * [backup-simplify]: Simplify (/ 1 1) into 1 3.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify -1 into -1 3.144 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) 3.144 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in (f n) around 0 3.144 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in n 3.144 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 3.144 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.144 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.144 * [taylor]: Taking taylor expansion of f in n 3.144 * [backup-simplify]: Simplify f into f 3.144 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.144 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.144 * [taylor]: Taking taylor expansion of n in n 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (/ 1 1) into 1 3.145 * [backup-simplify]: Simplify (+ 0 1) into 1 3.145 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n 3.145 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.145 * [taylor]: Taking taylor expansion of n in n 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.145 * [backup-simplify]: Simplify (/ 1 1) into 1 3.145 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.145 * [taylor]: Taking taylor expansion of f in n 3.146 * [backup-simplify]: Simplify f into f 3.146 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.146 * [backup-simplify]: Simplify (+ 1 0) into 1 3.146 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 3.148 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.148 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.148 * [taylor]: Taking taylor expansion of f in f 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.148 * [taylor]: Taking taylor expansion of n in f 3.148 * [backup-simplify]: Simplify n into n 3.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.149 * [backup-simplify]: Simplify (+ 1 0) into 1 3.149 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 3.149 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.149 * [taylor]: Taking taylor expansion of n in f 3.149 * [backup-simplify]: Simplify n into n 3.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.149 * [taylor]: Taking taylor expansion of f in f 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.150 * [backup-simplify]: Simplify (/ 1 1) into 1 3.150 * [backup-simplify]: Simplify (- 1) into -1 3.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.152 * [backup-simplify]: Simplify (* -1 -1) into 1 3.152 * [backup-simplify]: Simplify (* -1 1) into -1 3.152 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.153 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 3.153 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.153 * [taylor]: Taking taylor expansion of f in f 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ 1 1) into 1 3.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.153 * [taylor]: Taking taylor expansion of n in f 3.153 * [backup-simplify]: Simplify n into n 3.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.154 * [backup-simplify]: Simplify (+ 1 0) into 1 3.154 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 3.154 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.154 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.154 * [taylor]: Taking taylor expansion of n in f 3.154 * [backup-simplify]: Simplify n into n 3.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.154 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.154 * [taylor]: Taking taylor expansion of f in f 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [backup-simplify]: Simplify (- 1) into -1 3.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.155 * [backup-simplify]: Simplify (* 1 1) into 1 3.156 * [backup-simplify]: Simplify (* 1 1) into 1 3.156 * [backup-simplify]: Simplify (* -1 -1) into 1 3.157 * [backup-simplify]: Simplify (* -1 1) into -1 3.157 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.157 * [taylor]: Taking taylor expansion of -1 in n 3.157 * [backup-simplify]: Simplify -1 into -1 3.157 * [backup-simplify]: Simplify -1 into -1 3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.158 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.158 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.160 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.160 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 3.160 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 6 (/ 1 n))) 3.160 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 3.160 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 3.160 * [taylor]: Taking taylor expansion of 6 in n 3.160 * [backup-simplify]: Simplify 6 into 6 3.160 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 3.164 * [backup-simplify]: Simplify (- 0) into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.168 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 3.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (- 0) into 0 3.170 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.172 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2)))) 3.172 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 6 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 18 (/ 1 (pow n 2)))) 3.172 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 3.172 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 3.172 * [taylor]: Taking taylor expansion of 18 in n 3.172 * [backup-simplify]: Simplify 18 into 18 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.172 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.172 * [taylor]: Taking taylor expansion of n in n 3.172 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (* 1 1) into 1 3.173 * [backup-simplify]: Simplify (/ 1 1) into 1 3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 3.178 * [backup-simplify]: Simplify (- 0) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 3.180 * [backup-simplify]: Simplify (- 0) into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 3.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (- 0) into 0 3.186 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 3.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (/ 1 (pow n 3)) 3.189 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) -1) (+ (* -1 (/ (/ 1 (pow n 3)) -1)) (* (- (* 6 (/ 1 n))) (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 38 (/ 1 (pow n 3)))) 3.189 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 3.189 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 3.189 * [taylor]: Taking taylor expansion of 38 in n 3.189 * [backup-simplify]: Simplify 38 into 38 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.189 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.189 * [taylor]: Taking taylor expansion of n in n 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [backup-simplify]: Simplify (* 1 1) into 1 3.190 * [backup-simplify]: Simplify (* 1 1) into 1 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.200 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.200 * [backup-simplify]: Simplify (- 0) into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify -1 into -1 3.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.200 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.201 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.201 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.201 * [taylor]: Taking taylor expansion of -1 in n 3.201 * [backup-simplify]: Simplify -1 into -1 3.201 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.201 * [taylor]: Taking taylor expansion of (+ n f) in n 3.201 * [taylor]: Taking taylor expansion of n in n 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [taylor]: Taking taylor expansion of f in n 3.201 * [backup-simplify]: Simplify f into f 3.201 * [taylor]: Taking taylor expansion of (- f n) in n 3.201 * [taylor]: Taking taylor expansion of f in n 3.201 * [backup-simplify]: Simplify f into f 3.201 * [taylor]: Taking taylor expansion of n in n 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (+ 0 f) into f 3.201 * [backup-simplify]: Simplify (- 0) into 0 3.201 * [backup-simplify]: Simplify (+ f 0) into f 3.201 * [backup-simplify]: Simplify (/ f f) into 1 3.201 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.202 * [taylor]: Taking taylor expansion of -1 in f 3.202 * [backup-simplify]: Simplify -1 into -1 3.202 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.202 * [taylor]: Taking taylor expansion of (+ n f) in f 3.202 * [taylor]: Taking taylor expansion of n in f 3.202 * [backup-simplify]: Simplify n into n 3.202 * [taylor]: Taking taylor expansion of f in f 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [taylor]: Taking taylor expansion of (- f n) in f 3.202 * [taylor]: Taking taylor expansion of f in f 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [taylor]: Taking taylor expansion of n in f 3.202 * [backup-simplify]: Simplify n into n 3.202 * [backup-simplify]: Simplify (+ n 0) into n 3.202 * [backup-simplify]: Simplify (- n) into (- n) 3.202 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.202 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.202 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.202 * [taylor]: Taking taylor expansion of -1 in f 3.202 * [backup-simplify]: Simplify -1 into -1 3.202 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.202 * [taylor]: Taking taylor expansion of (+ n f) in f 3.202 * [taylor]: Taking taylor expansion of n in f 3.202 * [backup-simplify]: Simplify n into n 3.202 * [taylor]: Taking taylor expansion of f in f 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [taylor]: Taking taylor expansion of (- f n) in f 3.202 * [taylor]: Taking taylor expansion of f in f 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [taylor]: Taking taylor expansion of n in f 3.202 * [backup-simplify]: Simplify n into n 3.202 * [backup-simplify]: Simplify (+ n 0) into n 3.203 * [backup-simplify]: Simplify (- n) into (- n) 3.203 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.203 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.203 * [backup-simplify]: Simplify (* -1 -1) into 1 3.203 * [taylor]: Taking taylor expansion of 1 in n 3.203 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (+ 0 1) into 1 3.204 * [backup-simplify]: Simplify (- 0) into 0 3.204 * [backup-simplify]: Simplify (+ 1 0) into 1 3.205 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.205 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.205 * [taylor]: Taking taylor expansion of 2 in n 3.205 * [backup-simplify]: Simplify 2 into 2 3.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.205 * [taylor]: Taking taylor expansion of n in n 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (/ 1 1) into 1 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (+ 0 0) into 0 3.208 * [backup-simplify]: Simplify (- 0) into 0 3.208 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.210 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.210 * [taylor]: Taking taylor expansion of 2 in n 3.210 * [backup-simplify]: Simplify 2 into 2 3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.210 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.210 * [taylor]: Taking taylor expansion of n in n 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (* 1 1) into 1 3.210 * [backup-simplify]: Simplify (/ 1 1) into 1 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.218 * [backup-simplify]: Simplify (- 0) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.219 * [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)))) 3.220 * [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))) 3.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.220 * [taylor]: Taking taylor expansion of 2 in n 3.220 * [backup-simplify]: Simplify 2 into 2 3.220 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.220 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.220 * [taylor]: Taking taylor expansion of n in n 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.221 * [backup-simplify]: Simplify (/ 1 1) into 1 3.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.230 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.230 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.230 * [taylor]: Taking taylor expansion of -1 in n 3.230 * [backup-simplify]: Simplify -1 into -1 3.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.230 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.230 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.230 * [taylor]: Taking taylor expansion of f in n 3.230 * [backup-simplify]: Simplify f into f 3.230 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.231 * [taylor]: Taking taylor expansion of n in n 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.231 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.231 * [taylor]: Taking taylor expansion of f in n 3.231 * [backup-simplify]: Simplify f into f 3.231 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.231 * [taylor]: Taking taylor expansion of n in n 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (/ 1 1) into 1 3.232 * [backup-simplify]: Simplify (+ 0 1) into 1 3.232 * [backup-simplify]: Simplify (- 1) into -1 3.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.233 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.233 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.233 * [taylor]: Taking taylor expansion of -1 in f 3.233 * [backup-simplify]: Simplify -1 into -1 3.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.233 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.233 * [taylor]: Taking taylor expansion of f in f 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (/ 1 1) into 1 3.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.234 * [taylor]: Taking taylor expansion of n in f 3.234 * [backup-simplify]: Simplify n into n 3.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.234 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.234 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.234 * [taylor]: Taking taylor expansion of f in f 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (/ 1 1) into 1 3.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.234 * [taylor]: Taking taylor expansion of n in f 3.234 * [backup-simplify]: Simplify n into n 3.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.235 * [backup-simplify]: Simplify (+ 1 0) into 1 3.235 * [backup-simplify]: Simplify (+ 1 0) into 1 3.236 * [backup-simplify]: Simplify (/ 1 1) into 1 3.236 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.236 * [taylor]: Taking taylor expansion of -1 in f 3.236 * [backup-simplify]: Simplify -1 into -1 3.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.236 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.236 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.236 * [taylor]: Taking taylor expansion of f in f 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 1 into 1 3.236 * [backup-simplify]: Simplify (/ 1 1) into 1 3.236 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.236 * [taylor]: Taking taylor expansion of n in f 3.236 * [backup-simplify]: Simplify n into n 3.236 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.237 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.237 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.237 * [taylor]: Taking taylor expansion of f in f 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (/ 1 1) into 1 3.237 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.237 * [taylor]: Taking taylor expansion of n in f 3.237 * [backup-simplify]: Simplify n into n 3.237 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.238 * [backup-simplify]: Simplify (+ 1 0) into 1 3.238 * [backup-simplify]: Simplify (+ 1 0) into 1 3.238 * [backup-simplify]: Simplify (/ 1 1) into 1 3.239 * [backup-simplify]: Simplify (* -1 1) into -1 3.239 * [taylor]: Taking taylor expansion of -1 in n 3.239 * [backup-simplify]: Simplify -1 into -1 3.239 * [backup-simplify]: Simplify -1 into -1 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.241 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.241 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.241 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.241 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.241 * [taylor]: Taking taylor expansion of 2 in n 3.241 * [backup-simplify]: Simplify 2 into 2 3.241 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.241 * [taylor]: Taking taylor expansion of n in n 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (- 0) into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.247 * [backup-simplify]: Simplify (- 0) into 0 3.247 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.249 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.249 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.249 * [taylor]: Taking taylor expansion of 2 in n 3.249 * [backup-simplify]: Simplify 2 into 2 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.249 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.249 * [taylor]: Taking taylor expansion of n in n 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.255 * [backup-simplify]: Simplify (- 0) into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.257 * [backup-simplify]: Simplify (- 0) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.260 * [backup-simplify]: Simplify (- 0) into 0 3.261 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [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))) 3.263 * [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)))) 3.263 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.263 * [taylor]: Taking taylor expansion of 2 in n 3.263 * [backup-simplify]: Simplify 2 into 2 3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.263 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.263 * [taylor]: Taking taylor expansion of n in n 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (- 0) into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify -1 into -1 3.274 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.274 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.274 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.274 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.274 * [taylor]: Taking taylor expansion of f in n 3.274 * [backup-simplify]: Simplify f into f 3.274 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.274 * [taylor]: Taking taylor expansion of n in n 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (/ 1 1) into 1 3.275 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.275 * [taylor]: Taking taylor expansion of n in n 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (/ 1 1) into 1 3.275 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.275 * [taylor]: Taking taylor expansion of f in n 3.275 * [backup-simplify]: Simplify f into f 3.275 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.276 * [backup-simplify]: Simplify (+ 0 1) into 1 3.276 * [backup-simplify]: Simplify (+ 1 0) into 1 3.277 * [backup-simplify]: Simplify (/ 1 1) into 1 3.277 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.277 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.277 * [taylor]: Taking taylor expansion of f in f 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (/ 1 1) into 1 3.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.277 * [taylor]: Taking taylor expansion of n in f 3.277 * [backup-simplify]: Simplify n into n 3.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.277 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.277 * [taylor]: Taking taylor expansion of n in f 3.277 * [backup-simplify]: Simplify n into n 3.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.277 * [taylor]: Taking taylor expansion of f in f 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (/ 1 1) into 1 3.278 * [backup-simplify]: Simplify (+ 1 0) into 1 3.279 * [backup-simplify]: Simplify (- 1) into -1 3.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.279 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.280 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.280 * [taylor]: Taking taylor expansion of f in f 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 1 into 1 3.280 * [backup-simplify]: Simplify (/ 1 1) into 1 3.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.280 * [taylor]: Taking taylor expansion of n in f 3.280 * [backup-simplify]: Simplify n into n 3.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.280 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.280 * [taylor]: Taking taylor expansion of n in f 3.280 * [backup-simplify]: Simplify n into n 3.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.280 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.280 * [taylor]: Taking taylor expansion of f in f 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 1 into 1 3.281 * [backup-simplify]: Simplify (/ 1 1) into 1 3.281 * [backup-simplify]: Simplify (+ 1 0) into 1 3.282 * [backup-simplify]: Simplify (- 1) into -1 3.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.282 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.282 * [taylor]: Taking taylor expansion of -1 in n 3.283 * [backup-simplify]: Simplify -1 into -1 3.283 * [backup-simplify]: Simplify -1 into -1 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (- 0) into 0 3.285 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.285 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.285 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.285 * [taylor]: Taking taylor expansion of 2 in n 3.285 * [backup-simplify]: Simplify 2 into 2 3.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.285 * [taylor]: Taking taylor expansion of n in n 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (- 0) into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (- 0) into 0 3.291 * [backup-simplify]: Simplify (+ 0 0) into 0 3.292 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.292 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.292 * [taylor]: Taking taylor expansion of 2 in n 3.292 * [backup-simplify]: Simplify 2 into 2 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.292 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.292 * [taylor]: Taking taylor expansion of n in n 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.293 * [backup-simplify]: Simplify (/ 1 1) into 1 3.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.298 * [backup-simplify]: Simplify (- 0) into 0 3.298 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.300 * [backup-simplify]: Simplify (- 0) into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (- 0) into 0 3.303 * [backup-simplify]: Simplify (+ 0 0) into 0 3.306 * [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)))) 3.306 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.306 * [taylor]: Taking taylor expansion of 2 in n 3.306 * [backup-simplify]: Simplify 2 into 2 3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.306 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.306 * [taylor]: Taking taylor expansion of n in n 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (- 0) into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify -1 into -1 3.319 * * * [progress]: simplifying candidates 3.335 * [simplify]: Simplifying: (log (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (exp (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (* (* (- (+ f n)) (- (+ f n))) (- (+ f n)))) (cbrt (* (* (- f n) (- f n)) (- f n))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (- (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (* (- (+ f n)) (/ (- (+ f n)) (- f n))) (- (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (- (+ f n)))) (cbrt (- f n)) (cbrt (* (* (- (+ f n)) (- (+ f n))) (/ (- (+ f n)) (- f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n)))) (cbrt (- f n)) (cbrt (* (* (- (+ f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (cbrt (- f n)) (* (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))) (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (* (* (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (+ 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 (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ 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))))) (* (/ (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)))) (* (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n)))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt 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))) (cbrt (- (+ f n)))) 1)) (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n))) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n))) (* (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (cbrt (- f n)))) (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1)) (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n))) (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1)) (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n))) (* (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (* (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n)))) (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1)) (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n))) (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1)) (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n)))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n)))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n)))) (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n)))) (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n)))) (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n)))) (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n)))) (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n)))) (* (/ (- (+ 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(+ n f) (- f n)) (/ (+ n f) (- f n))) (+ (sqrt f) (sqrt n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (* (+ n f) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n)))) (* (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f)) (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (* (+ n f) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (* (- (* (/ (+ n f) (- f n)) (+ n f))) (+ n f)) (- (* (+ n f) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (- (* (+ n f) (* (/ (+ n f) (- f n)) (/ (+ 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))) (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 f) (sqrt n)) (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 f) (sqrt n))) (/ (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 f) (sqrt n))) (- (/ (+ 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 f) (sqrt n))) (/ (+ 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 f) (sqrt n)))) (/ (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 f) (sqrt n))) (/ (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 f) (sqrt n))) (/ (+ 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 f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (- (/ (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 f) (sqrt n))) (/ (- (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 f) (sqrt n))) (- (/ (+ 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 f) (sqrt n))) (- (/ (+ 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 f) (sqrt 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)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (/ (- (+ n f)) (* (+ n f) (- f n))) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) (* -1 (cbrt -1)) (cbrt -1) -1 1 1 1 1 -1 -1 1 -1 -1 4.939 * * * [progress]: adding candidates to table 7.065 * * [progress]: iteration 3 / 4 7.065 * * * [progress]: picking best candidate 7.073 * * * * [pick]: Picked # 7.073 * * * [progress]: localizing error 7.102 * * * [progress]: generating rewritten candidates 7.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 7.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.349 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.463 * * * [progress]: generating series expansions 7.463 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.463 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 7.464 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 7.464 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 7.464 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.464 * [taylor]: Taking taylor expansion of (+ n f) in n 7.464 * [taylor]: Taking taylor expansion of n in n 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of f in n 7.464 * [backup-simplify]: Simplify f into f 7.464 * [backup-simplify]: Simplify (+ 0 f) into f 7.464 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 7.464 * [taylor]: Taking taylor expansion of (- f n) in n 7.464 * [taylor]: Taking taylor expansion of f in n 7.464 * [backup-simplify]: Simplify f into f 7.464 * [taylor]: Taking taylor expansion of n in n 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.465 * [backup-simplify]: Simplify (- 0) into 0 7.465 * [backup-simplify]: Simplify (+ f 0) into f 7.465 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.465 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.465 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 7.465 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.465 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.465 * [taylor]: Taking taylor expansion of (+ n f) in f 7.465 * [taylor]: Taking taylor expansion of n in f 7.465 * [backup-simplify]: Simplify n into n 7.465 * [taylor]: Taking taylor expansion of f in f 7.465 * [backup-simplify]: Simplify 0 into 0 7.465 * [backup-simplify]: Simplify 1 into 1 7.465 * [backup-simplify]: Simplify (+ n 0) into n 7.465 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.465 * [taylor]: Taking taylor expansion of (- f n) in f 7.465 * [taylor]: Taking taylor expansion of f in f 7.466 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify 1 into 1 7.466 * [taylor]: Taking taylor expansion of n in f 7.466 * [backup-simplify]: Simplify n into n 7.466 * [backup-simplify]: Simplify (- n) into (- n) 7.466 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.466 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.466 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.466 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.466 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.466 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.466 * [taylor]: Taking taylor expansion of (+ n f) in f 7.466 * [taylor]: Taking taylor expansion of n in f 7.466 * [backup-simplify]: Simplify n into n 7.466 * [taylor]: Taking taylor expansion of f in f 7.466 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify 1 into 1 7.466 * [backup-simplify]: Simplify (+ n 0) into n 7.466 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.466 * [taylor]: Taking taylor expansion of (- f n) in f 7.466 * [taylor]: Taking taylor expansion of f in f 7.466 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify 1 into 1 7.466 * [taylor]: Taking taylor expansion of n in f 7.466 * [backup-simplify]: Simplify n into n 7.467 * [backup-simplify]: Simplify (- n) into (- n) 7.467 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.467 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.467 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.467 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.467 * [taylor]: Taking taylor expansion of 1 in n 7.467 * [backup-simplify]: Simplify 1 into 1 7.467 * [backup-simplify]: Simplify 1 into 1 7.468 * [backup-simplify]: Simplify (+ 0 1) into 1 7.468 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.468 * [backup-simplify]: Simplify (- 0) into 0 7.468 * [backup-simplify]: Simplify (+ 1 0) into 1 7.469 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.469 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.469 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 7.469 * [taylor]: Taking taylor expansion of 4 in n 7.469 * [backup-simplify]: Simplify 4 into 4 7.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.469 * [taylor]: Taking taylor expansion of n in n 7.469 * [backup-simplify]: Simplify 0 into 0 7.469 * [backup-simplify]: Simplify 1 into 1 7.470 * [backup-simplify]: Simplify (/ 1 1) into 1 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify (+ 0 0) into 0 7.472 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 7.472 * [backup-simplify]: Simplify (- 0) into 0 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.473 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 7.474 * [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))) 7.474 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 7.474 * [taylor]: Taking taylor expansion of 8 in n 7.474 * [backup-simplify]: Simplify 8 into 8 7.474 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.474 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.474 * [taylor]: Taking taylor expansion of n in n 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify 1 into 1 7.474 * [backup-simplify]: Simplify (* 1 1) into 1 7.475 * [backup-simplify]: Simplify (/ 1 1) into 1 7.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.479 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 7.479 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 7.481 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify (+ 0 0) into 0 7.482 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 7.482 * [backup-simplify]: Simplify (- 0) into 0 7.483 * [backup-simplify]: Simplify (+ 0 0) into 0 7.484 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 7.484 * [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))) 7.485 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 7.485 * [taylor]: Taking taylor expansion of 12 in n 7.485 * [backup-simplify]: Simplify 12 into 12 7.485 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.485 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.485 * [taylor]: Taking taylor expansion of n in n 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [backup-simplify]: Simplify (* 1 1) into 1 7.485 * [backup-simplify]: Simplify (* 1 1) into 1 7.486 * [backup-simplify]: Simplify (/ 1 1) into 1 7.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.495 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 1 into 1 7.496 * [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)) 7.496 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 7.496 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 7.496 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.496 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.496 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.496 * [taylor]: Taking taylor expansion of f in n 7.496 * [backup-simplify]: Simplify f into f 7.496 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.496 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.496 * [taylor]: Taking taylor expansion of n in n 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.497 * [backup-simplify]: Simplify (/ 1 1) into 1 7.497 * [backup-simplify]: Simplify (+ 0 1) into 1 7.497 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 7.497 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.497 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.497 * [taylor]: Taking taylor expansion of f in n 7.497 * [backup-simplify]: Simplify f into f 7.497 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.497 * [taylor]: Taking taylor expansion of n in n 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 1 into 1 7.498 * [backup-simplify]: Simplify (/ 1 1) into 1 7.498 * [backup-simplify]: Simplify (- 1) into -1 7.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.499 * [backup-simplify]: Simplify (* 1 1) into 1 7.499 * [backup-simplify]: Simplify (* -1 -1) into 1 7.500 * [backup-simplify]: Simplify (/ 1 1) into 1 7.500 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.500 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.500 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.500 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.500 * [taylor]: Taking taylor expansion of f in f 7.500 * [backup-simplify]: Simplify 0 into 0 7.500 * [backup-simplify]: Simplify 1 into 1 7.500 * [backup-simplify]: Simplify (/ 1 1) into 1 7.500 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.500 * [taylor]: Taking taylor expansion of n in f 7.500 * [backup-simplify]: Simplify n into n 7.501 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.501 * [backup-simplify]: Simplify (+ 1 0) into 1 7.501 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.501 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.501 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.501 * [taylor]: Taking taylor expansion of f in f 7.501 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify 1 into 1 7.501 * [backup-simplify]: Simplify (/ 1 1) into 1 7.501 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.502 * [taylor]: Taking taylor expansion of n in f 7.502 * [backup-simplify]: Simplify n into n 7.502 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.502 * [backup-simplify]: Simplify (+ 1 0) into 1 7.502 * [backup-simplify]: Simplify (* 1 1) into 1 7.503 * [backup-simplify]: Simplify (* 1 1) into 1 7.503 * [backup-simplify]: Simplify (/ 1 1) into 1 7.503 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.503 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.503 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.503 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.503 * [taylor]: Taking taylor expansion of f in f 7.503 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify 1 into 1 7.504 * [backup-simplify]: Simplify (/ 1 1) into 1 7.504 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.504 * [taylor]: Taking taylor expansion of n in f 7.504 * [backup-simplify]: Simplify n into n 7.504 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.504 * [backup-simplify]: Simplify (+ 1 0) into 1 7.504 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.504 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.505 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.505 * [taylor]: Taking taylor expansion of f in f 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (/ 1 1) into 1 7.505 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.505 * [taylor]: Taking taylor expansion of n in f 7.506 * [backup-simplify]: Simplify n into n 7.506 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.506 * [backup-simplify]: Simplify (+ 1 0) into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (/ 1 1) into 1 7.508 * [taylor]: Taking taylor expansion of 1 in n 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.509 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.510 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.510 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.510 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.511 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.511 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 7.511 * [taylor]: Taking taylor expansion of 4 in n 7.511 * [backup-simplify]: Simplify 4 into 4 7.511 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.511 * [taylor]: Taking taylor expansion of n in n 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [backup-simplify]: Simplify (/ 1 1) into 1 7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.514 * [backup-simplify]: Simplify (+ 0 0) into 0 7.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 7.519 * [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))) 7.519 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 7.519 * [taylor]: Taking taylor expansion of 8 in n 7.519 * [backup-simplify]: Simplify 8 into 8 7.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.519 * [taylor]: Taking taylor expansion of n in n 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 1 into 1 7.520 * [backup-simplify]: Simplify (* 1 1) into 1 7.520 * [backup-simplify]: Simplify (/ 1 1) into 1 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.524 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.530 * [backup-simplify]: Simplify (- 0) into 0 7.531 * [backup-simplify]: Simplify (+ 0 0) into 0 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 7.533 * [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))) 7.533 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 7.533 * [taylor]: Taking taylor expansion of 12 in n 7.533 * [backup-simplify]: Simplify 12 into 12 7.533 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.533 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.533 * [taylor]: Taking taylor expansion of n in n 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify 1 into 1 7.534 * [backup-simplify]: Simplify (* 1 1) into 1 7.534 * [backup-simplify]: Simplify (* 1 1) into 1 7.535 * [backup-simplify]: Simplify (/ 1 1) into 1 7.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.548 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 1 into 1 7.548 * [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)) 7.548 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 7.548 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 7.548 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.548 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.548 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.548 * [taylor]: Taking taylor expansion of f in n 7.548 * [backup-simplify]: Simplify f into f 7.548 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.548 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.548 * [taylor]: Taking taylor expansion of n in n 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify (/ 1 1) into 1 7.549 * [backup-simplify]: Simplify (+ 0 1) into 1 7.549 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 7.549 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.549 * [taylor]: Taking taylor expansion of n in n 7.549 * [backup-simplify]: Simplify 0 into 0 7.549 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify (/ 1 1) into 1 7.549 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.549 * [taylor]: Taking taylor expansion of f in n 7.549 * [backup-simplify]: Simplify f into f 7.549 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.550 * [backup-simplify]: Simplify (+ 1 0) into 1 7.550 * [backup-simplify]: Simplify (* 1 1) into 1 7.550 * [backup-simplify]: Simplify (* 1 1) into 1 7.550 * [backup-simplify]: Simplify (/ 1 1) into 1 7.550 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.550 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.550 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.550 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.550 * [taylor]: Taking taylor expansion of f in f 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 1 into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.551 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.551 * [taylor]: Taking taylor expansion of n in f 7.551 * [backup-simplify]: Simplify n into n 7.551 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.551 * [backup-simplify]: Simplify (+ 1 0) into 1 7.551 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.551 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.551 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.551 * [taylor]: Taking taylor expansion of n in f 7.551 * [backup-simplify]: Simplify n into n 7.551 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.551 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.551 * [taylor]: Taking taylor expansion of f in f 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.552 * [backup-simplify]: Simplify (- 1) into -1 7.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.552 * [backup-simplify]: Simplify (* 1 1) into 1 7.552 * [backup-simplify]: Simplify (* -1 -1) into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.553 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.553 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.553 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.553 * [taylor]: Taking taylor expansion of f in f 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.553 * [taylor]: Taking taylor expansion of n in f 7.553 * [backup-simplify]: Simplify n into n 7.553 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.553 * [backup-simplify]: Simplify (+ 1 0) into 1 7.553 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.553 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.553 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.553 * [taylor]: Taking taylor expansion of n in f 7.554 * [backup-simplify]: Simplify n into n 7.554 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.554 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.554 * [taylor]: Taking taylor expansion of f in f 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (/ 1 1) into 1 7.554 * [backup-simplify]: Simplify (- 1) into -1 7.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.555 * [backup-simplify]: Simplify (* 1 1) into 1 7.555 * [backup-simplify]: Simplify (* -1 -1) into 1 7.555 * [backup-simplify]: Simplify (/ 1 1) into 1 7.555 * [taylor]: Taking taylor expansion of 1 in n 7.555 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.556 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.556 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.556 * [backup-simplify]: Simplify (- 0) into 0 7.557 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.557 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 7.557 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.557 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 7.557 * [taylor]: Taking taylor expansion of 4 in n 7.557 * [backup-simplify]: Simplify 4 into 4 7.557 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.557 * [taylor]: Taking taylor expansion of n in n 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [backup-simplify]: Simplify (/ 1 1) into 1 7.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.558 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.559 * [backup-simplify]: Simplify (+ 0 0) into 0 7.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.560 * [backup-simplify]: Simplify (- 0) into 0 7.561 * [backup-simplify]: Simplify (+ 0 0) into 0 7.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 7.562 * [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))) 7.562 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 7.562 * [taylor]: Taking taylor expansion of 8 in n 7.562 * [backup-simplify]: Simplify 8 into 8 7.562 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.562 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.562 * [taylor]: Taking taylor expansion of n in n 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify 1 into 1 7.562 * [backup-simplify]: Simplify (* 1 1) into 1 7.562 * [backup-simplify]: Simplify (/ 1 1) into 1 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.566 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.568 * [backup-simplify]: Simplify (+ 0 0) into 0 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (- 0) into 0 7.570 * [backup-simplify]: Simplify (+ 0 0) into 0 7.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 7.573 * [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))) 7.573 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 7.573 * [taylor]: Taking taylor expansion of 12 in n 7.573 * [backup-simplify]: Simplify 12 into 12 7.573 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.573 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.573 * [taylor]: Taking taylor expansion of n in n 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 1 into 1 7.573 * [backup-simplify]: Simplify (* 1 1) into 1 7.574 * [backup-simplify]: Simplify (* 1 1) into 1 7.574 * [backup-simplify]: Simplify (/ 1 1) into 1 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.583 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.583 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) into (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) 7.583 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in (f n) around 0 7.584 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 7.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 7.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 7.584 * [taylor]: Taking taylor expansion of 1/3 in n 7.584 * [backup-simplify]: Simplify 1/3 into 1/3 7.584 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 7.584 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 7.584 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 7.584 * [taylor]: Taking taylor expansion of (+ n f) in n 7.584 * [taylor]: Taking taylor expansion of n in n 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 1 into 1 7.584 * [taylor]: Taking taylor expansion of f in n 7.584 * [backup-simplify]: Simplify f into f 7.584 * [backup-simplify]: Simplify (+ 0 f) into f 7.584 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 7.584 * [taylor]: Taking taylor expansion of (- f n) in n 7.584 * [taylor]: Taking taylor expansion of f in n 7.584 * [backup-simplify]: Simplify f into f 7.584 * [taylor]: Taking taylor expansion of n in n 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 1 into 1 7.584 * [backup-simplify]: Simplify (- 0) into 0 7.585 * [backup-simplify]: Simplify (+ f 0) into f 7.585 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.585 * [backup-simplify]: Simplify (* f f) into (pow f 2) 7.585 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 7.585 * [backup-simplify]: Simplify (log 1) into 0 7.586 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.587 * [backup-simplify]: Simplify (+ 1 0) into 1 7.587 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 7.587 * [backup-simplify]: Simplify (- 1) into -1 7.587 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.588 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 7.588 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 7.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.589 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.589 * [backup-simplify]: Simplify (exp 0) into 1 7.589 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 7.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 7.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 7.589 * [taylor]: Taking taylor expansion of 1/3 in f 7.589 * [backup-simplify]: Simplify 1/3 into 1/3 7.589 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 7.589 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.589 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.589 * [taylor]: Taking taylor expansion of (+ n f) in f 7.589 * [taylor]: Taking taylor expansion of n in f 7.589 * [backup-simplify]: Simplify n into n 7.589 * [taylor]: Taking taylor expansion of f in f 7.589 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (+ n 0) into n 7.590 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.590 * [taylor]: Taking taylor expansion of (- f n) in f 7.590 * [taylor]: Taking taylor expansion of f in f 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [taylor]: Taking taylor expansion of n in f 7.590 * [backup-simplify]: Simplify n into n 7.590 * [backup-simplify]: Simplify (- n) into (- n) 7.590 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.590 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.590 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.590 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.591 * [backup-simplify]: Simplify (log 1) into 0 7.591 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.591 * [backup-simplify]: Simplify (+ 0 1) into 1 7.592 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.592 * [backup-simplify]: Simplify (- 0) into 0 7.592 * [backup-simplify]: Simplify (+ 1 0) into 1 7.592 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.593 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.594 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.594 * [backup-simplify]: Simplify (exp 0) into 1 7.594 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 7.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 7.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 7.594 * [taylor]: Taking taylor expansion of 1/3 in f 7.594 * [backup-simplify]: Simplify 1/3 into 1/3 7.594 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 7.594 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 7.594 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 7.594 * [taylor]: Taking taylor expansion of (+ n f) in f 7.594 * [taylor]: Taking taylor expansion of n in f 7.594 * [backup-simplify]: Simplify n into n 7.594 * [taylor]: Taking taylor expansion of f in f 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (+ n 0) into n 7.594 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 7.594 * [taylor]: Taking taylor expansion of (- f n) in f 7.594 * [taylor]: Taking taylor expansion of f in f 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [taylor]: Taking taylor expansion of n in f 7.595 * [backup-simplify]: Simplify n into n 7.595 * [backup-simplify]: Simplify (- n) into (- n) 7.595 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.595 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.595 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 7.595 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 7.595 * [backup-simplify]: Simplify (log 1) into 0 7.596 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.596 * [backup-simplify]: Simplify (+ 0 1) into 1 7.596 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 7.597 * [backup-simplify]: Simplify (- 0) into 0 7.597 * [backup-simplify]: Simplify (+ 1 0) into 1 7.597 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 7.598 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 7.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.599 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.599 * [backup-simplify]: Simplify (exp 0) into 1 7.599 * [taylor]: Taking taylor expansion of 1 in n 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify 1 into 1 7.600 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.600 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 7.600 * [taylor]: Taking taylor expansion of 4/3 in n 7.600 * [backup-simplify]: Simplify 4/3 into 4/3 7.600 * [taylor]: Taking taylor expansion of n in n 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 7.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify (+ 0 0) into 0 7.604 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 7.604 * [backup-simplify]: Simplify (- 0) into 0 7.604 * [backup-simplify]: Simplify (+ 0 0) into 0 7.605 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 7.606 * [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))) 7.607 * [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 7.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 7.609 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 7.609 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 7.609 * [taylor]: Taking taylor expansion of 8/9 in n 7.609 * [backup-simplify]: Simplify 8/9 into 8/9 7.609 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.609 * [taylor]: Taking taylor expansion of n in n 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify 1 into 1 7.609 * [backup-simplify]: Simplify (* 1 1) into 1 7.610 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (+ 0 0) into 0 7.616 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 7.616 * [backup-simplify]: Simplify (- 0) into 0 7.616 * [backup-simplify]: Simplify (+ 0 0) into 0 7.617 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 7.618 * [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))) 7.621 * [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)) 7.622 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 7.623 * [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)) 7.623 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 7.623 * [taylor]: Taking taylor expansion of 68/81 in n 7.623 * [backup-simplify]: Simplify 68/81 into 68/81 7.623 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.623 * [taylor]: Taking taylor expansion of n in n 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.624 * [backup-simplify]: Simplify (* 1 1) into 1 7.624 * [backup-simplify]: Simplify (* 1 1) into 1 7.625 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 7.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.633 * [backup-simplify]: Simplify 0 into 0 7.633 * [backup-simplify]: Simplify 1 into 1 7.633 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) 7.633 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in (f n) around 0 7.633 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 7.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 7.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 7.634 * [taylor]: Taking taylor expansion of 1/3 in n 7.634 * [backup-simplify]: Simplify 1/3 into 1/3 7.634 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 7.634 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 7.634 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.634 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.634 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.634 * [taylor]: Taking taylor expansion of f in n 7.634 * [backup-simplify]: Simplify f into f 7.634 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.634 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.634 * [taylor]: Taking taylor expansion of n in n 7.634 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify 1 into 1 7.634 * [backup-simplify]: Simplify (/ 1 1) into 1 7.635 * [backup-simplify]: Simplify (+ 0 1) into 1 7.635 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 7.635 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.635 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.635 * [taylor]: Taking taylor expansion of f in n 7.635 * [backup-simplify]: Simplify f into f 7.635 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.635 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.635 * [taylor]: Taking taylor expansion of n in n 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 1 into 1 7.635 * [backup-simplify]: Simplify (/ 1 1) into 1 7.636 * [backup-simplify]: Simplify (- 1) into -1 7.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.637 * [backup-simplify]: Simplify (* 1 1) into 1 7.637 * [backup-simplify]: Simplify (* -1 -1) into 1 7.637 * [backup-simplify]: Simplify (/ 1 1) into 1 7.638 * [backup-simplify]: Simplify (log 1) into 0 7.638 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.639 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.639 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 7.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.640 * [backup-simplify]: Simplify (- 0) into 0 7.640 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.641 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 7.641 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 7.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.642 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.642 * [backup-simplify]: Simplify (exp 0) into 1 7.642 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 7.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 7.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 7.642 * [taylor]: Taking taylor expansion of 1/3 in f 7.642 * [backup-simplify]: Simplify 1/3 into 1/3 7.642 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 7.642 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.642 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.642 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.642 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.642 * [taylor]: Taking taylor expansion of f in f 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.643 * [backup-simplify]: Simplify (/ 1 1) into 1 7.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.643 * [taylor]: Taking taylor expansion of n in f 7.643 * [backup-simplify]: Simplify n into n 7.643 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.643 * [backup-simplify]: Simplify (+ 1 0) into 1 7.643 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.643 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.644 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.644 * [taylor]: Taking taylor expansion of f in f 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [backup-simplify]: Simplify (/ 1 1) into 1 7.644 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.644 * [taylor]: Taking taylor expansion of n in f 7.644 * [backup-simplify]: Simplify n into n 7.644 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.645 * [backup-simplify]: Simplify (+ 1 0) into 1 7.645 * [backup-simplify]: Simplify (* 1 1) into 1 7.645 * [backup-simplify]: Simplify (* 1 1) into 1 7.646 * [backup-simplify]: Simplify (/ 1 1) into 1 7.646 * [backup-simplify]: Simplify (log 1) into 0 7.646 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.647 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.648 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.648 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.649 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.649 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.650 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.650 * [backup-simplify]: Simplify (exp 0) into 1 7.650 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 7.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 7.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 7.650 * [taylor]: Taking taylor expansion of 1/3 in f 7.650 * [backup-simplify]: Simplify 1/3 into 1/3 7.650 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 7.651 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 7.651 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.651 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.651 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.651 * [taylor]: Taking taylor expansion of f in f 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 1 into 1 7.651 * [backup-simplify]: Simplify (/ 1 1) into 1 7.651 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.651 * [taylor]: Taking taylor expansion of n in f 7.651 * [backup-simplify]: Simplify n into n 7.651 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.652 * [backup-simplify]: Simplify (+ 1 0) into 1 7.652 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 7.652 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.652 * [taylor]: Taking taylor expansion of f in f 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 1 into 1 7.652 * [backup-simplify]: Simplify (/ 1 1) into 1 7.652 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.652 * [taylor]: Taking taylor expansion of n in f 7.652 * [backup-simplify]: Simplify n into n 7.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.653 * [backup-simplify]: Simplify (+ 1 0) into 1 7.653 * [backup-simplify]: Simplify (* 1 1) into 1 7.654 * [backup-simplify]: Simplify (* 1 1) into 1 7.654 * [backup-simplify]: Simplify (/ 1 1) into 1 7.654 * [backup-simplify]: Simplify (log 1) into 0 7.655 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.656 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.656 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.657 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.657 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.657 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 7.657 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.659 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.659 * [backup-simplify]: Simplify (exp 0) into 1 7.659 * [taylor]: Taking taylor expansion of 1 in n 7.659 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.659 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 7.659 * [taylor]: Taking taylor expansion of 4/3 in n 7.659 * [backup-simplify]: Simplify 4/3 into 4/3 7.659 * [taylor]: Taking taylor expansion of n in n 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 7.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.662 * [backup-simplify]: Simplify (+ 0 0) into 0 7.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.665 * [backup-simplify]: Simplify (- 0) into 0 7.665 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 7.667 * [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))) 7.668 * [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 7.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 7.670 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 7.670 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 7.670 * [taylor]: Taking taylor expansion of 8/9 in n 7.670 * [backup-simplify]: Simplify 8/9 into 8/9 7.670 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.670 * [taylor]: Taking taylor expansion of n in n 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify 1 into 1 7.670 * [backup-simplify]: Simplify (* 1 1) into 1 7.671 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 7.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.677 * [backup-simplify]: Simplify (+ 0 0) into 0 7.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.679 * [backup-simplify]: Simplify (- 0) into 0 7.680 * [backup-simplify]: Simplify (+ 0 0) into 0 7.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 7.688 * [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))) 7.690 * [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)) 7.691 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 7.693 * [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)) 7.693 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 7.693 * [taylor]: Taking taylor expansion of 68/81 in n 7.693 * [backup-simplify]: Simplify 68/81 into 68/81 7.693 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.693 * [taylor]: Taking taylor expansion of n in n 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 1 into 1 7.693 * [backup-simplify]: Simplify (* 1 1) into 1 7.694 * [backup-simplify]: Simplify (* 1 1) into 1 7.694 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 7.704 * [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 7.704 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 7.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 7.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 7.704 * [taylor]: Taking taylor expansion of 1/3 in n 7.704 * [backup-simplify]: Simplify 1/3 into 1/3 7.704 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 7.704 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 7.704 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 7.704 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.704 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.704 * [taylor]: Taking taylor expansion of f in n 7.704 * [backup-simplify]: Simplify f into f 7.704 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.704 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.704 * [taylor]: Taking taylor expansion of n in n 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.705 * [backup-simplify]: Simplify (/ 1 1) into 1 7.705 * [backup-simplify]: Simplify (+ 0 1) into 1 7.705 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 7.705 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.705 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.705 * [taylor]: Taking taylor expansion of n in n 7.705 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ 1 1) into 1 7.706 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.706 * [taylor]: Taking taylor expansion of f in n 7.706 * [backup-simplify]: Simplify f into f 7.706 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.706 * [backup-simplify]: Simplify (+ 1 0) into 1 7.706 * [backup-simplify]: Simplify (* 1 1) into 1 7.707 * [backup-simplify]: Simplify (* 1 1) into 1 7.707 * [backup-simplify]: Simplify (/ 1 1) into 1 7.708 * [backup-simplify]: Simplify (log 1) into 0 7.708 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.709 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 7.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.710 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.710 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.710 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 7.711 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 7.711 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 7.712 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 7.712 * [backup-simplify]: Simplify (exp 0) into 1 7.712 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 7.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 7.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 7.712 * [taylor]: Taking taylor expansion of 1/3 in f 7.712 * [backup-simplify]: Simplify 1/3 into 1/3 7.712 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 7.712 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.712 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.712 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.712 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.712 * [taylor]: Taking taylor expansion of f in f 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify 1 into 1 7.713 * [backup-simplify]: Simplify (/ 1 1) into 1 7.713 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.713 * [taylor]: Taking taylor expansion of n in f 7.713 * [backup-simplify]: Simplify n into n 7.713 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.713 * [backup-simplify]: Simplify (+ 1 0) into 1 7.713 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.713 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.713 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.713 * [taylor]: Taking taylor expansion of n in f 7.713 * [backup-simplify]: Simplify n into n 7.713 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.713 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.713 * [taylor]: Taking taylor expansion of f in f 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (/ 1 1) into 1 7.714 * [backup-simplify]: Simplify (- 1) into -1 7.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.715 * [backup-simplify]: Simplify (* 1 1) into 1 7.715 * [backup-simplify]: Simplify (* -1 -1) into 1 7.716 * [backup-simplify]: Simplify (/ 1 1) into 1 7.716 * [backup-simplify]: Simplify (log 1) into 0 7.716 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.718 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (- 0) into 0 7.719 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.719 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 7.719 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.720 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.720 * [backup-simplify]: Simplify (exp 0) into 1 7.720 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 7.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 7.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 7.720 * [taylor]: Taking taylor expansion of 1/3 in f 7.720 * [backup-simplify]: Simplify 1/3 into 1/3 7.720 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 7.720 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 7.721 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 7.721 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.721 * [taylor]: Taking taylor expansion of f in f 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.721 * [taylor]: Taking taylor expansion of n in f 7.721 * [backup-simplify]: Simplify n into n 7.721 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.722 * [backup-simplify]: Simplify (+ 1 0) into 1 7.722 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 7.722 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.722 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.722 * [taylor]: Taking taylor expansion of n in f 7.722 * [backup-simplify]: Simplify n into n 7.722 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.722 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.722 * [taylor]: Taking taylor expansion of f in f 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify 1 into 1 7.722 * [backup-simplify]: Simplify (/ 1 1) into 1 7.723 * [backup-simplify]: Simplify (- 1) into -1 7.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.724 * [backup-simplify]: Simplify (* 1 1) into 1 7.724 * [backup-simplify]: Simplify (* -1 -1) into 1 7.724 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [backup-simplify]: Simplify (log 1) into 0 7.725 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.726 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (- 0) into 0 7.728 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.728 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 7.728 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 7.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 7.729 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 7.729 * [backup-simplify]: Simplify (exp 0) into 1 7.729 * [taylor]: Taking taylor expansion of 1 in n 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 7.730 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 7.730 * [taylor]: Taking taylor expansion of 4/3 in n 7.730 * [backup-simplify]: Simplify 4/3 into 4/3 7.730 * [taylor]: Taking taylor expansion of n in n 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 7.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.733 * [backup-simplify]: Simplify (+ 0 0) into 0 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 7.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (- 0) into 0 7.736 * [backup-simplify]: Simplify (+ 0 0) into 0 7.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 7.738 * [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))) 7.739 * [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 7.740 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 7.741 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 7.741 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 7.741 * [taylor]: Taking taylor expansion of 8/9 in n 7.741 * [backup-simplify]: Simplify 8/9 into 8/9 7.741 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.741 * [taylor]: Taking taylor expansion of n in n 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.741 * [backup-simplify]: Simplify (* 1 1) into 1 7.742 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.748 * [backup-simplify]: Simplify (+ 0 0) into 0 7.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (- 0) into 0 7.751 * [backup-simplify]: Simplify (+ 0 0) into 0 7.752 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 7.755 * [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))) 7.757 * [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)) 7.758 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 7.760 * [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)) 7.760 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 7.760 * [taylor]: Taking taylor expansion of 68/81 in n 7.760 * [backup-simplify]: Simplify 68/81 into 68/81 7.760 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.760 * [taylor]: Taking taylor expansion of n in n 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [backup-simplify]: Simplify (* 1 1) into 1 7.761 * [backup-simplify]: Simplify (* 1 1) into 1 7.761 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 7.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 7.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.770 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.770 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) 7.770 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0 7.770 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n 7.770 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 7.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 7.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 7.770 * [taylor]: Taking taylor expansion of 1/3 in n 7.770 * [backup-simplify]: Simplify 1/3 into 1/3 7.770 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 7.770 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.770 * [taylor]: Taking taylor expansion of (+ n f) 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 * [taylor]: Taking taylor expansion of f in n 7.770 * [backup-simplify]: Simplify f into f 7.771 * [taylor]: Taking taylor expansion of (- f n) in n 7.771 * [taylor]: Taking taylor expansion of f in n 7.771 * [backup-simplify]: Simplify f into f 7.771 * [taylor]: Taking taylor expansion of n in n 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (+ 0 f) into f 7.771 * [backup-simplify]: Simplify (- 0) into 0 7.771 * [backup-simplify]: Simplify (+ f 0) into f 7.771 * [backup-simplify]: Simplify (/ f f) into 1 7.772 * [backup-simplify]: Simplify (log 1) into 0 7.772 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.772 * [backup-simplify]: Simplify (+ 1 0) into 1 7.773 * [backup-simplify]: Simplify (- 1) into -1 7.773 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.774 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 7.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 7.775 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 7.775 * [backup-simplify]: Simplify (exp 0) into 1 7.775 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.775 * [taylor]: Taking taylor expansion of -1 in n 7.775 * [backup-simplify]: Simplify -1 into -1 7.775 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.776 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.776 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 7.776 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 7.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 7.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 7.776 * [taylor]: Taking taylor expansion of 1/3 in f 7.776 * [backup-simplify]: Simplify 1/3 into 1/3 7.777 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 7.777 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.777 * [taylor]: Taking taylor expansion of (+ n f) in f 7.777 * [taylor]: Taking taylor expansion of n in f 7.777 * [backup-simplify]: Simplify n into n 7.777 * [taylor]: Taking taylor expansion of f in f 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 1 into 1 7.777 * [taylor]: Taking taylor expansion of (- f n) in f 7.777 * [taylor]: Taking taylor expansion of f in f 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 1 into 1 7.777 * [taylor]: Taking taylor expansion of n in f 7.777 * [backup-simplify]: Simplify n into n 7.777 * [backup-simplify]: Simplify (+ n 0) into n 7.777 * [backup-simplify]: Simplify (- n) into (- n) 7.777 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.777 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.778 * [backup-simplify]: Simplify (log -1) into (log -1) 7.778 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.780 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.780 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.780 * [taylor]: Taking taylor expansion of -1 in f 7.780 * [backup-simplify]: Simplify -1 into -1 7.781 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.781 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.781 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f 7.781 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 7.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 7.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 7.781 * [taylor]: Taking taylor expansion of 1/3 in f 7.782 * [backup-simplify]: Simplify 1/3 into 1/3 7.782 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 7.782 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.782 * [taylor]: Taking taylor expansion of (+ n f) in f 7.782 * [taylor]: Taking taylor expansion of n in f 7.782 * [backup-simplify]: Simplify n into n 7.782 * [taylor]: Taking taylor expansion of f in f 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [taylor]: Taking taylor expansion of (- f n) in f 7.782 * [taylor]: Taking taylor expansion of f in f 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [taylor]: Taking taylor expansion of n in f 7.782 * [backup-simplify]: Simplify n into n 7.782 * [backup-simplify]: Simplify (+ n 0) into n 7.782 * [backup-simplify]: Simplify (- n) into (- n) 7.782 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.782 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.783 * [backup-simplify]: Simplify (log -1) into (log -1) 7.783 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.785 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.785 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.785 * [taylor]: Taking taylor expansion of -1 in f 7.785 * [backup-simplify]: Simplify -1 into -1 7.786 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.786 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.788 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 7.788 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n 7.788 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.788 * [taylor]: Taking taylor expansion of -1 in n 7.788 * [backup-simplify]: Simplify -1 into -1 7.789 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.789 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.789 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.789 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.790 * [taylor]: Taking taylor expansion of 1/3 in n 7.790 * [backup-simplify]: Simplify 1/3 into 1/3 7.790 * [taylor]: Taking taylor expansion of (log -1) in n 7.790 * [taylor]: Taking taylor expansion of -1 in n 7.790 * [backup-simplify]: Simplify -1 into -1 7.790 * [backup-simplify]: Simplify (log -1) into (log -1) 7.791 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.793 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.794 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.796 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.796 * [backup-simplify]: Simplify (+ 0 1) into 1 7.797 * [backup-simplify]: Simplify (- 0) into 0 7.797 * [backup-simplify]: Simplify (+ 1 0) into 1 7.797 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 7.799 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 7.800 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 7.802 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) (cbrt -1))) into (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) 7.802 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n 7.802 * [taylor]: Taking taylor expansion of 2/3 in n 7.802 * [backup-simplify]: Simplify 2/3 into 2/3 7.802 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n 7.802 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) 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 7.803 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.804 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.804 * [taylor]: Taking taylor expansion of n in n 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 1 into 1 7.805 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.805 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.805 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.805 * [taylor]: Taking taylor expansion of 1/3 in n 7.805 * [backup-simplify]: Simplify 1/3 into 1/3 7.805 * [taylor]: Taking taylor expansion of (log -1) in n 7.805 * [taylor]: Taking taylor expansion of -1 in n 7.805 * [backup-simplify]: Simplify -1 into -1 7.805 * [backup-simplify]: Simplify (log -1) into (log -1) 7.806 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.808 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.810 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.812 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.815 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.817 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0 7.817 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.820 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.821 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.823 * [backup-simplify]: Simplify (+ 0 0) into 0 7.824 * [backup-simplify]: Simplify (- 0) into 0 7.824 * [backup-simplify]: Simplify (+ 0 0) into 0 7.824 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 7.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 7.829 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 7.832 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) (cbrt -1)))) into (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) 7.832 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n 7.832 * [taylor]: Taking taylor expansion of 2/9 in n 7.832 * [backup-simplify]: Simplify 2/9 into 2/9 7.832 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n 7.832 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 7.832 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.832 * [taylor]: Taking taylor expansion of -1 in n 7.832 * [backup-simplify]: Simplify -1 into -1 7.833 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.839 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.839 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.839 * [taylor]: Taking taylor expansion of n in n 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (* 1 1) into 1 7.841 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.841 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.841 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.841 * [taylor]: Taking taylor expansion of 1/3 in n 7.841 * [backup-simplify]: Simplify 1/3 into 1/3 7.841 * [taylor]: Taking taylor expansion of (log -1) in n 7.841 * [taylor]: Taking taylor expansion of -1 in n 7.841 * [backup-simplify]: Simplify -1 into -1 7.841 * [backup-simplify]: Simplify (log -1) into (log -1) 7.842 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.844 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.846 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.853 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.861 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.863 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.864 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.866 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 7.866 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.871 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.873 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.878 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.879 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.884 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.889 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (- 0) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.892 * [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)))) 7.895 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 7.896 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 7.899 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 7.902 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (+ (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 0) (* (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) (cbrt -1))))) into (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) 7.902 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n 7.903 * [taylor]: Taking taylor expansion of 22/81 in n 7.903 * [backup-simplify]: Simplify 22/81 into 22/81 7.903 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n 7.903 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 7.903 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.903 * [taylor]: Taking taylor expansion of -1 in n 7.903 * [backup-simplify]: Simplify -1 into -1 7.903 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.904 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.904 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.904 * [taylor]: Taking taylor expansion of n in n 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (* 1 1) into 1 7.905 * [backup-simplify]: Simplify (* 1 1) into 1 7.906 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.906 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 7.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 7.906 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 7.906 * [taylor]: Taking taylor expansion of 1/3 in n 7.906 * [backup-simplify]: Simplify 1/3 into 1/3 7.906 * [taylor]: Taking taylor expansion of (log -1) in n 7.906 * [taylor]: Taking taylor expansion of -1 in n 7.906 * [backup-simplify]: Simplify -1 into -1 7.906 * [backup-simplify]: Simplify (log -1) into (log -1) 7.907 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.909 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 7.912 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 7.915 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 7.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 7.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 7.928 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0 7.929 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.930 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0 7.930 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 7.932 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) 7.932 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0 7.932 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n 7.932 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 7.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 7.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.932 * [taylor]: Taking taylor expansion of 1/3 in n 7.932 * [backup-simplify]: Simplify 1/3 into 1/3 7.932 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.932 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.932 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.932 * [taylor]: Taking taylor expansion of f in n 7.932 * [backup-simplify]: Simplify f into f 7.932 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.932 * [taylor]: Taking taylor expansion of n in n 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 f) (/ 1 n)) in n 7.932 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.932 * [taylor]: Taking taylor expansion of f in n 7.932 * [backup-simplify]: Simplify f into f 7.932 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.932 * [taylor]: Taking taylor expansion of n in n 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.933 * [backup-simplify]: Simplify (/ 1 1) into 1 7.933 * [backup-simplify]: Simplify (+ 0 1) into 1 7.933 * [backup-simplify]: Simplify (- 1) into -1 7.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.934 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.934 * [backup-simplify]: Simplify (log -1) into (log -1) 7.934 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.935 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.935 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.935 * [taylor]: Taking taylor expansion of -1 in n 7.935 * [backup-simplify]: Simplify -1 into -1 7.936 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.936 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.936 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 7.936 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 7.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.936 * [taylor]: Taking taylor expansion of 1/3 in f 7.936 * [backup-simplify]: Simplify 1/3 into 1/3 7.936 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.936 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.936 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.936 * [taylor]: Taking taylor expansion of f in f 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (/ 1 1) into 1 7.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.937 * [taylor]: Taking taylor expansion of n in f 7.937 * [backup-simplify]: Simplify n into n 7.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.937 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.937 * [taylor]: Taking taylor expansion of f in f 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 7.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.937 * [taylor]: Taking taylor expansion of n in f 7.937 * [backup-simplify]: Simplify n into n 7.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.937 * [backup-simplify]: Simplify (+ 1 0) into 1 7.938 * [backup-simplify]: Simplify (+ 1 0) into 1 7.938 * [backup-simplify]: Simplify (/ 1 1) into 1 7.938 * [backup-simplify]: Simplify (log 1) into 0 7.938 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.939 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.939 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.939 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.940 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 7.940 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 7.940 * [backup-simplify]: Simplify (exp 0) into 1 7.940 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.940 * [taylor]: Taking taylor expansion of -1 in f 7.940 * [backup-simplify]: Simplify -1 into -1 7.941 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.941 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.941 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f 7.941 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 7.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.941 * [taylor]: Taking taylor expansion of 1/3 in f 7.941 * [backup-simplify]: Simplify 1/3 into 1/3 7.941 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.941 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.941 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.941 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.941 * [taylor]: Taking taylor expansion of f in f 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (/ 1 1) into 1 7.942 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.942 * [taylor]: Taking taylor expansion of n in f 7.942 * [backup-simplify]: Simplify n into n 7.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.942 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.942 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.942 * [taylor]: Taking taylor expansion of f in f 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.943 * [backup-simplify]: Simplify (/ 1 1) into 1 7.943 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.943 * [taylor]: Taking taylor expansion of n in f 7.943 * [backup-simplify]: Simplify n into n 7.943 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.943 * [backup-simplify]: Simplify (+ 1 0) into 1 7.944 * [backup-simplify]: Simplify (+ 1 0) into 1 7.944 * [backup-simplify]: Simplify (/ 1 1) into 1 7.944 * [backup-simplify]: Simplify (log 1) into 0 7.945 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.946 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.947 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.947 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 7.948 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 7.948 * [backup-simplify]: Simplify (exp 0) into 1 7.949 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.949 * [taylor]: Taking taylor expansion of -1 in f 7.949 * [backup-simplify]: Simplify -1 into -1 7.949 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.950 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.951 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 7.951 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.951 * [taylor]: Taking taylor expansion of -1 in n 7.951 * [backup-simplify]: Simplify -1 into -1 7.952 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.952 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.953 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.953 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 7.954 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n)) 7.955 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 7.955 * [taylor]: Taking taylor expansion of 2/3 in n 7.955 * [backup-simplify]: Simplify 2/3 into 2/3 7.955 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 7.955 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.955 * [taylor]: Taking taylor expansion of -1 in n 7.955 * [backup-simplify]: Simplify -1 into -1 7.955 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.956 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.956 * [taylor]: Taking taylor expansion of n in n 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify 1 into 1 7.957 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.959 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 7.959 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.964 * [backup-simplify]: Simplify (+ 0 0) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.965 * [backup-simplify]: Simplify (- 0) into 0 7.966 * [backup-simplify]: Simplify (+ 0 0) into 0 7.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 7.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 7.981 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 7.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 7.982 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 7.982 * [taylor]: Taking taylor expansion of 2/9 in n 7.982 * [backup-simplify]: Simplify 2/9 into 2/9 7.982 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 7.982 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.982 * [taylor]: Taking taylor expansion of -1 in n 7.982 * [backup-simplify]: Simplify -1 into -1 7.983 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.983 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.984 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.984 * [taylor]: Taking taylor expansion of n in n 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [backup-simplify]: Simplify (* 1 1) into 1 7.985 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.997 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.000 * [backup-simplify]: Simplify (+ 0 0) into 0 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.001 * [backup-simplify]: Simplify (- 0) into 0 8.002 * [backup-simplify]: Simplify (+ 0 0) into 0 8.003 * [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))) 8.006 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 8.007 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 8.008 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (+ (* (/ 2/9 (pow n 2)) 0) (* (/ 22/81 (pow n 3)) (cbrt -1))))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 8.009 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 8.010 * [taylor]: Taking taylor expansion of 22/81 in n 8.010 * [backup-simplify]: Simplify 22/81 into 22/81 8.010 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 8.010 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.010 * [taylor]: Taking taylor expansion of -1 in n 8.010 * [backup-simplify]: Simplify -1 into -1 8.010 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.011 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.011 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.011 * [taylor]: Taking taylor expansion of n in n 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.011 * [backup-simplify]: Simplify (* 1 1) into 1 8.012 * [backup-simplify]: Simplify (* 1 1) into 1 8.013 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.026 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.026 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 8.027 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 8.027 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 8.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 8.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 8.027 * [taylor]: Taking taylor expansion of 1/3 in n 8.027 * [backup-simplify]: Simplify 1/3 into 1/3 8.027 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 8.027 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.027 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.027 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.027 * [taylor]: Taking taylor expansion of f in n 8.027 * [backup-simplify]: Simplify f into f 8.027 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.027 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.027 * [taylor]: Taking taylor expansion of n in n 8.027 * [backup-simplify]: Simplify 0 into 0 8.027 * [backup-simplify]: Simplify 1 into 1 8.027 * [backup-simplify]: Simplify (/ 1 1) into 1 8.027 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.027 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.028 * [taylor]: Taking taylor expansion of n in n 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (/ 1 1) into 1 8.028 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.028 * [taylor]: Taking taylor expansion of f in n 8.028 * [backup-simplify]: Simplify f into f 8.028 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.029 * [backup-simplify]: Simplify (+ 0 1) into 1 8.029 * [backup-simplify]: Simplify (+ 1 0) into 1 8.030 * [backup-simplify]: Simplify (/ 1 1) into 1 8.030 * [backup-simplify]: Simplify (log 1) into 0 8.030 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.032 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.032 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.033 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 8.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 8.034 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 8.034 * [backup-simplify]: Simplify (exp 0) into 1 8.034 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 8.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 8.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 8.034 * [taylor]: Taking taylor expansion of 1/3 in f 8.034 * [backup-simplify]: Simplify 1/3 into 1/3 8.034 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.034 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.034 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.034 * [taylor]: Taking taylor expansion of f in f 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify 1 into 1 8.035 * [backup-simplify]: Simplify (/ 1 1) into 1 8.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.035 * [taylor]: Taking taylor expansion of n in f 8.035 * [backup-simplify]: Simplify n into n 8.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.035 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.035 * [taylor]: Taking taylor expansion of n in f 8.035 * [backup-simplify]: Simplify n into n 8.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.035 * [taylor]: Taking taylor expansion of f in f 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [backup-simplify]: Simplify (/ 1 1) into 1 8.036 * [backup-simplify]: Simplify (+ 1 0) into 1 8.036 * [backup-simplify]: Simplify (- 1) into -1 8.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.037 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.037 * [backup-simplify]: Simplify (log -1) into (log -1) 8.038 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.040 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.040 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 8.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 8.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 8.040 * [taylor]: Taking taylor expansion of 1/3 in f 8.040 * [backup-simplify]: Simplify 1/3 into 1/3 8.040 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.040 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.040 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.040 * [taylor]: Taking taylor expansion of f in f 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ 1 1) into 1 8.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.041 * [taylor]: Taking taylor expansion of n in f 8.041 * [backup-simplify]: Simplify n into n 8.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.041 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.041 * [taylor]: Taking taylor expansion of n in f 8.041 * [backup-simplify]: Simplify n into n 8.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.041 * [taylor]: Taking taylor expansion of f in f 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ 1 1) into 1 8.042 * [backup-simplify]: Simplify (+ 1 0) into 1 8.042 * [backup-simplify]: Simplify (- 1) into -1 8.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.043 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.043 * [backup-simplify]: Simplify (log -1) into (log -1) 8.044 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.046 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.046 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.046 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.046 * [taylor]: Taking taylor expansion of 1/3 in n 8.046 * [backup-simplify]: Simplify 1/3 into 1/3 8.046 * [taylor]: Taking taylor expansion of (log -1) in n 8.046 * [taylor]: Taking taylor expansion of -1 in n 8.046 * [backup-simplify]: Simplify -1 into -1 8.047 * [backup-simplify]: Simplify (log -1) into (log -1) 8.047 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.049 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.049 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (- 0) into 0 8.051 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.052 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 8.053 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 8.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3))) 8.055 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n 8.055 * [taylor]: Taking taylor expansion of 2/3 in n 8.055 * [backup-simplify]: Simplify 2/3 into 2/3 8.055 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n 8.055 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.055 * [taylor]: Taking taylor expansion of n in n 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 1 into 1 8.055 * [backup-simplify]: Simplify (/ 1 1) into 1 8.055 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.055 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.055 * [taylor]: Taking taylor expansion of 1/3 in n 8.056 * [backup-simplify]: Simplify 1/3 into 1/3 8.056 * [taylor]: Taking taylor expansion of (log -1) in n 8.056 * [taylor]: Taking taylor expansion of -1 in n 8.056 * [backup-simplify]: Simplify -1 into -1 8.056 * [backup-simplify]: Simplify (log -1) into (log -1) 8.057 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.058 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.062 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 8.065 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 8.066 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.069 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.070 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.070 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.072 * [backup-simplify]: Simplify (+ 0 0) into 0 8.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.073 * [backup-simplify]: Simplify (- 0) into 0 8.073 * [backup-simplify]: Simplify (+ 0 0) into 0 8.075 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 8.080 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 8.080 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n 8.080 * [taylor]: Taking taylor expansion of 2/9 in n 8.080 * [backup-simplify]: Simplify 2/9 into 2/9 8.080 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n 8.080 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.080 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.080 * [taylor]: Taking taylor expansion of n in n 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (* 1 1) into 1 8.081 * [backup-simplify]: Simplify (/ 1 1) into 1 8.081 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.081 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.081 * [taylor]: Taking taylor expansion of 1/3 in n 8.081 * [backup-simplify]: Simplify 1/3 into 1/3 8.081 * [taylor]: Taking taylor expansion of (log -1) in n 8.081 * [taylor]: Taking taylor expansion of -1 in n 8.081 * [backup-simplify]: Simplify -1 into -1 8.082 * [backup-simplify]: Simplify (log -1) into (log -1) 8.083 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.084 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.091 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 8.101 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 8.103 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.103 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.107 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.109 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.109 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.112 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.113 * [backup-simplify]: Simplify (+ 0 0) into 0 8.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.114 * [backup-simplify]: Simplify (- 0) into 0 8.115 * [backup-simplify]: Simplify (+ 0 0) into 0 8.120 * [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)))) 8.122 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 8.122 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 8.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) 8.124 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n 8.124 * [taylor]: Taking taylor expansion of 22/81 in n 8.124 * [backup-simplify]: Simplify 22/81 into 22/81 8.124 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n 8.124 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.124 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.124 * [taylor]: Taking taylor expansion of n in n 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify 1 into 1 8.124 * [backup-simplify]: Simplify (* 1 1) into 1 8.125 * [backup-simplify]: Simplify (* 1 1) into 1 8.125 * [backup-simplify]: Simplify (/ 1 1) into 1 8.125 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 8.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 8.125 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 8.125 * [taylor]: Taking taylor expansion of 1/3 in n 8.125 * [backup-simplify]: Simplify 1/3 into 1/3 8.125 * [taylor]: Taking taylor expansion of (log -1) in n 8.125 * [taylor]: Taking taylor expansion of -1 in n 8.125 * [backup-simplify]: Simplify -1 into -1 8.125 * [backup-simplify]: Simplify (log -1) into (log -1) 8.126 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 8.127 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 8.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.128 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 8.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 8.133 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 8.135 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.141 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 8.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 8.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 8.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 8.145 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) 8.146 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 8.147 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.147 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 8.147 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.147 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.148 * [taylor]: Taking taylor expansion of -1 in n 8.148 * [backup-simplify]: Simplify -1 into -1 8.148 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.148 * [taylor]: Taking taylor expansion of (+ n f) 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 * [taylor]: Taking taylor expansion of f in n 8.148 * [backup-simplify]: Simplify f into f 8.148 * [taylor]: Taking taylor expansion of (- f n) in n 8.148 * [taylor]: Taking taylor expansion of f in n 8.148 * [backup-simplify]: Simplify f into f 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 (+ 0 f) into f 8.148 * [backup-simplify]: Simplify (- 0) into 0 8.149 * [backup-simplify]: Simplify (+ f 0) into f 8.149 * [backup-simplify]: Simplify (/ f f) into 1 8.149 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.149 * [taylor]: Taking taylor expansion of -1 in f 8.149 * [backup-simplify]: Simplify -1 into -1 8.149 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.149 * [taylor]: Taking taylor expansion of (+ n f) in f 8.149 * [taylor]: Taking taylor expansion of n in f 8.149 * [backup-simplify]: Simplify n into n 8.149 * [taylor]: Taking taylor expansion of f in f 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify 1 into 1 8.149 * [taylor]: Taking taylor expansion of (- f n) in f 8.149 * [taylor]: Taking taylor expansion of f in f 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify 1 into 1 8.149 * [taylor]: Taking taylor expansion of n in f 8.149 * [backup-simplify]: Simplify n into n 8.149 * [backup-simplify]: Simplify (+ n 0) into n 8.149 * [backup-simplify]: Simplify (- n) into (- n) 8.149 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.149 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.149 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.149 * [taylor]: Taking taylor expansion of -1 in f 8.149 * [backup-simplify]: Simplify -1 into -1 8.149 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.149 * [taylor]: Taking taylor expansion of (+ n f) in f 8.149 * [taylor]: Taking taylor expansion of n in f 8.149 * [backup-simplify]: Simplify n into n 8.149 * [taylor]: Taking taylor expansion of f in f 8.149 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 8.150 * [backup-simplify]: Simplify n into n 8.150 * [backup-simplify]: Simplify (+ n 0) into n 8.150 * [backup-simplify]: Simplify (- n) into (- n) 8.150 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.150 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.150 * [backup-simplify]: Simplify (* -1 -1) into 1 8.151 * [taylor]: Taking taylor expansion of 1 in n 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify (+ 0 1) into 1 8.151 * [backup-simplify]: Simplify (- 0) into 0 8.152 * [backup-simplify]: Simplify (+ 1 0) into 1 8.152 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.153 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.153 * [taylor]: Taking taylor expansion of 2 in n 8.153 * [backup-simplify]: Simplify 2 into 2 8.153 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.153 * [taylor]: Taking taylor expansion of n in n 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 8.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (- 0) into 0 8.156 * [backup-simplify]: Simplify (+ 0 0) into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.158 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n 8.158 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.158 * [taylor]: Taking taylor expansion of n in n 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (* 1 1) into 1 8.159 * [backup-simplify]: Simplify (/ 1 1) into 1 8.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.164 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify (+ 0 0) into 0 8.167 * [backup-simplify]: Simplify (- 0) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.168 * [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)))) 8.169 * [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))) 8.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.169 * [taylor]: Taking taylor expansion of 2 in n 8.169 * [backup-simplify]: Simplify 2 into 2 8.169 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.169 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.169 * [taylor]: Taking taylor expansion of n in n 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (* 1 1) into 1 8.170 * [backup-simplify]: Simplify (* 1 1) into 1 8.170 * [backup-simplify]: Simplify (/ 1 1) into 1 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.179 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.180 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.180 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.180 * [taylor]: Taking taylor expansion of -1 in n 8.180 * [backup-simplify]: Simplify -1 into -1 8.180 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.180 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.180 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.180 * [taylor]: Taking taylor expansion of f in n 8.180 * [backup-simplify]: Simplify f into f 8.180 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.180 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.180 * [taylor]: Taking taylor expansion of n in n 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (/ 1 1) into 1 8.181 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.181 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.181 * [taylor]: Taking taylor expansion of f in n 8.181 * [backup-simplify]: Simplify f into f 8.181 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.181 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.181 * [taylor]: Taking taylor expansion of n in n 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (/ 1 1) into 1 8.182 * [backup-simplify]: Simplify (+ 0 1) into 1 8.182 * [backup-simplify]: Simplify (- 1) into -1 8.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.183 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.183 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.183 * [taylor]: Taking taylor expansion of -1 in f 8.183 * [backup-simplify]: Simplify -1 into -1 8.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.183 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.183 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.183 * [taylor]: Taking taylor expansion of f in f 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (/ 1 1) into 1 8.184 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.184 * [taylor]: Taking taylor expansion of n in f 8.184 * [backup-simplify]: Simplify n into n 8.184 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.184 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.184 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.184 * [taylor]: Taking taylor expansion of f in f 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.185 * [taylor]: Taking taylor expansion of n in f 8.185 * [backup-simplify]: Simplify n into n 8.185 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.185 * [backup-simplify]: Simplify (+ 1 0) into 1 8.186 * [backup-simplify]: Simplify (+ 1 0) into 1 8.186 * [backup-simplify]: Simplify (/ 1 1) into 1 8.186 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.186 * [taylor]: Taking taylor expansion of -1 in f 8.186 * [backup-simplify]: Simplify -1 into -1 8.186 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.186 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.186 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.186 * [taylor]: Taking taylor expansion of f in f 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.186 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.187 * [taylor]: Taking taylor expansion of n in f 8.187 * [backup-simplify]: Simplify n into n 8.187 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.187 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.187 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.187 * [taylor]: Taking taylor expansion of f in f 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.187 * [taylor]: Taking taylor expansion of n in f 8.187 * [backup-simplify]: Simplify n into n 8.187 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.188 * [backup-simplify]: Simplify (+ 1 0) into 1 8.188 * [backup-simplify]: Simplify (+ 1 0) into 1 8.188 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [backup-simplify]: Simplify (* -1 1) into -1 8.189 * [taylor]: Taking taylor expansion of -1 in n 8.189 * [backup-simplify]: Simplify -1 into -1 8.189 * [backup-simplify]: Simplify -1 into -1 8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.191 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.191 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.191 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.192 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.192 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.192 * [taylor]: Taking taylor expansion of 2 in n 8.192 * [backup-simplify]: Simplify 2 into 2 8.192 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.192 * [taylor]: Taking taylor expansion of n in n 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (/ 1 1) into 1 8.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.194 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.194 * [backup-simplify]: Simplify (- 0) into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.197 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (+ 0 0) into 0 8.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.199 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.199 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.199 * [taylor]: Taking taylor expansion of 2 in n 8.199 * [backup-simplify]: Simplify 2 into 2 8.199 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.199 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.199 * [taylor]: Taking taylor expansion of n in n 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.200 * [backup-simplify]: Simplify (* 1 1) into 1 8.200 * [backup-simplify]: Simplify (/ 1 1) into 1 8.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.204 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.207 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.209 * [backup-simplify]: Simplify (+ 0 0) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.210 * [backup-simplify]: Simplify (- 0) into 0 8.210 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [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))) 8.213 * [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)))) 8.213 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.213 * [taylor]: Taking taylor expansion of 2 in n 8.213 * [backup-simplify]: Simplify 2 into 2 8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.213 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.213 * [taylor]: Taking taylor expansion of n in n 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (* 1 1) into 1 8.214 * [backup-simplify]: Simplify (* 1 1) into 1 8.215 * [backup-simplify]: Simplify (/ 1 1) into 1 8.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.224 * [backup-simplify]: Simplify (- 0) into 0 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify -1 into -1 8.225 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.225 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.225 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.225 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.225 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.225 * [taylor]: Taking taylor expansion of f in n 8.225 * [backup-simplify]: Simplify f into f 8.225 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.225 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.225 * [taylor]: Taking taylor expansion of n in n 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (/ 1 1) into 1 8.225 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.225 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.225 * [taylor]: Taking taylor expansion of n in n 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 1 into 1 8.226 * [backup-simplify]: Simplify (/ 1 1) into 1 8.226 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.226 * [taylor]: Taking taylor expansion of f in n 8.226 * [backup-simplify]: Simplify f into f 8.226 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.226 * [backup-simplify]: Simplify (+ 0 1) into 1 8.227 * [backup-simplify]: Simplify (+ 1 0) into 1 8.227 * [backup-simplify]: Simplify (/ 1 1) into 1 8.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.227 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.227 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.228 * [taylor]: Taking taylor expansion of f in f 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.228 * [backup-simplify]: Simplify (/ 1 1) into 1 8.228 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.228 * [taylor]: Taking taylor expansion of n in f 8.228 * [backup-simplify]: Simplify n into n 8.228 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.228 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.228 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.228 * [taylor]: Taking taylor expansion of n in f 8.228 * [backup-simplify]: Simplify n into n 8.228 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.228 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.228 * [taylor]: Taking taylor expansion of f in f 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.229 * [backup-simplify]: Simplify (/ 1 1) into 1 8.229 * [backup-simplify]: Simplify (+ 1 0) into 1 8.229 * [backup-simplify]: Simplify (- 1) into -1 8.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.230 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.230 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.230 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.230 * [taylor]: Taking taylor expansion of f in f 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 1 into 1 8.230 * [backup-simplify]: Simplify (/ 1 1) into 1 8.230 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.230 * [taylor]: Taking taylor expansion of n in f 8.230 * [backup-simplify]: Simplify n into n 8.230 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.230 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.230 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.230 * [taylor]: Taking taylor expansion of n in f 8.230 * [backup-simplify]: Simplify n into n 8.231 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.231 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.231 * [taylor]: Taking taylor expansion of f in f 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (/ 1 1) into 1 8.231 * [backup-simplify]: Simplify (+ 1 0) into 1 8.231 * [backup-simplify]: Simplify (- 1) into -1 8.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.232 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.232 * [taylor]: Taking taylor expansion of -1 in n 8.232 * [backup-simplify]: Simplify -1 into -1 8.232 * [backup-simplify]: Simplify -1 into -1 8.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (- 0) into 0 8.233 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.233 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.233 * [taylor]: Taking taylor expansion of 2 in n 8.233 * [backup-simplify]: Simplify 2 into 2 8.233 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.233 * [taylor]: Taking taylor expansion of n in n 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 1 into 1 8.234 * [backup-simplify]: Simplify (/ 1 1) into 1 8.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.235 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.235 * [backup-simplify]: Simplify (- 0) into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.236 * [backup-simplify]: Simplify (+ 0 0) into 0 8.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.237 * [backup-simplify]: Simplify (- 0) into 0 8.237 * [backup-simplify]: Simplify (+ 0 0) into 0 8.238 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.238 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.238 * [taylor]: Taking taylor expansion of 2 in n 8.238 * [backup-simplify]: Simplify 2 into 2 8.238 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.238 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.238 * [taylor]: Taking taylor expansion of n in n 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify 1 into 1 8.238 * [backup-simplify]: Simplify (* 1 1) into 1 8.238 * [backup-simplify]: Simplify (/ 1 1) into 1 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.241 * [backup-simplify]: Simplify (- 0) into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.246 * [backup-simplify]: Simplify (- 0) into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.247 * [backup-simplify]: Simplify (+ 0 0) into 0 8.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.248 * [backup-simplify]: Simplify (- 0) into 0 8.248 * [backup-simplify]: Simplify (+ 0 0) into 0 8.249 * [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)))) 8.249 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.249 * [taylor]: Taking taylor expansion of 2 in n 8.249 * [backup-simplify]: Simplify 2 into 2 8.249 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.249 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.249 * [taylor]: Taking taylor expansion of n in n 8.249 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify 1 into 1 8.250 * [backup-simplify]: Simplify (* 1 1) into 1 8.250 * [backup-simplify]: Simplify (* 1 1) into 1 8.250 * [backup-simplify]: Simplify (/ 1 1) into 1 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.256 * [backup-simplify]: Simplify (- 0) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify -1 into -1 8.256 * * * [progress]: simplifying candidates 8.264 * [simplify]: Simplifying: (+ 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)) (/ (- 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cost 1518 inf + 85 8.773 * * [simplify]: Extracting #2: cost 2278 inf + 604 8.783 * * [simplify]: Extracting #3: cost 2140 inf + 21406 8.835 * * [simplify]: Extracting #4: cost 1192 inf + 249875 8.973 * * [simplify]: Extracting #5: cost 224 inf + 558685 9.113 * * [simplify]: Extracting #6: cost 3 inf + 632463 9.275 * * [simplify]: Extracting #7: cost 0 inf + 633001 9.424 * [simplify]: Simplified to: 2 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 2 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (exp (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) 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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 f) (sqrt n))) (/ (- (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 f) (sqrt n))) (- (/ (+ 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 f) (sqrt n))) (- (/ (+ 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 f) (sqrt 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)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* f (* f f)) (* n (* n n)))) (- (/ (+ n f) (- (* f f) (* n n)))) (* (- f n) (+ (* f f) (* n (- n f)))) (* (- f n) (- f n)) 1 1 1 1 1 1 (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) 1 -1 -1 9.541 * * * [progress]: adding candidates to table 11.560 * [progress]: [Phase 3 of 3] Extracting. 11.561 * * [regime]: Finding splitpoints for: (# # #) 11.563 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 11.563 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 11.620 * * * * [regimes]: Trying to branch on n from (# # #) 11.655 * * * * [regimes]: Trying to branch on f from (# # #) 11.722 * * * [regime]: Found split indices: #